33 spreadsheet templates for real estate finance and investments
DESCRIPTION
spreadsheetsTRANSCRIPT
This Excel Workbook contains 33 spreadsheet templates that replicate the calculations in selected exhibits
published by McGraw-Hill The tabs below indicate the chapter and identity of the template.More information on the template is provide within the tab. Students can modify the templates to solveseveral of the end-of-chapter problems in the chapters associated with the template.Templates were developed by Jeffrey D. Fisher with the assistance of Anand Kumar.
The authors are not responsible for providing support on the use of the templates.
in Real Estate Finance and Investments, 13th ed. by William B. Brueggeman and and Jeffrey D. Fisher,
These templates are intended only for educational purposes and not warranted for any other purpose.
revised 10/9/06
This Excel Workbook contains 33 spreadsheet templates that replicate the calculations in selected exhibits
More information on the template is provide within the tab. Students can modify the templates to solve
, 13th ed. by William B. Brueggeman and and Jeffrey D. Fisher,
and not warranted for any other purpose.
Chapter 4 Effective Cost of a Loan with Points
Input Assumptions
Loan amount $60,000 Initial Interest rate 12.00%Loan term 30 yearsPoints 3
Monthly payment $617.17 Annual payment $7,406.01 (Assuming monthly payments)Annual constant 12.34%Effective cost (calculated below) 12.82%
Note: Do not change the payment and interest rate below unless you want to change from a standard fixed rate mortgage.
Year Month Beg. Balance Payment Rate Interest Principal0
1 1 $60,000.00 $617.17 12.00% 600.00 17.17 2 59,982.83 617.17 12.00% 599.83 17.34 3 59,965.49 617.17 12.00% 599.65 17.51 4 59,947.98 617.17 12.00% 599.48 17.69 5 59,930.29 617.17 12.00% 599.30 17.86 6 59,912.43 617.17 12.00% 599.12 18.04 7 59,894.38 617.17 12.00% 598.94 18.22 8 59,876.16 617.17 12.00% 598.76 18.41 9 59,857.76 617.17 12.00% 598.58 18.59
10 59,839.17 617.17 12.00% 598.39 18.78 11 59,820.39 617.17 12.00% 598.20 18.96 12 59,801.43 617.17 12.00% 598.01 19.15
2 1 59,782.27 617.17 12.00% 597.82 19.34 2 59,762.93 617.17 12.00% 597.63 19.54 3 59,743.39 617.17 12.00% 597.43 19.73 4 59,723.66 617.17 12.00% 597.24 19.93 5 59,703.72 617.17 12.00% 597.04 20.13 6 59,683.59 617.17 12.00% 596.84 20.33 7 59,663.26 617.17 12.00% 596.63 20.53 8 59,642.73 617.17 12.00% 596.43 20.74 9 59,621.99 617.17 12.00% 596.22 20.95
10 59,601.04 617.17 12.00% 596.01 21.16 11 59,579.88 617.17 12.00% 595.80 21.37 12 59,558.51 617.17 12.00% 595.59 21.58
3 1 59,536.93 617.17 12.00% 595.37 21.80 2 59,515.13 617.17 12.00% 595.15 22.02 3 59,493.12 617.17 12.00% 594.93 22.24
Spreadsheet Limitations: Prepayment assumed in 5 years
4 59,470.88 617.17 12.00% 594.71 22.46 5 59,448.42 617.17 12.00% 594.48 22.68 6 59,425.74 617.17 12.00% 594.26 22.91 7 59,402.83 617.17 12.00% 594.03 23.14 8 59,379.69 617.17 12.00% 593.80 23.37 9 59,356.32 617.17 12.00% 593.56 23.60
10 59,332.71 617.17 12.00% 593.33 23.84 11 59,308.87 617.17 12.00% 593.09 24.08 12 59,284.79 617.17 12.00% 592.85 24.32
4 1 59,260.48 617.17 12.00% 592.60 24.56 2 59,235.91 617.17 12.00% 592.36 24.81 3 59,211.10 617.17 12.00% 592.11 25.06 4 59,186.05 617.17 12.00% 591.86 25.31 5 59,160.74 617.17 12.00% 591.61 25.56 6 59,135.18 617.17 12.00% 591.35 25.82 7 59,109.36 617.17 12.00% 591.09 26.07 8 59,083.29 617.17 12.00% 590.83 26.33 9 59,056.96 617.17 12.00% 590.57 26.60
10 59,030.36 617.17 12.00% 590.30 26.86 11 59,003.49 617.17 12.00% 590.03 27.13 12 58,976.36 617.17 12.00% 589.76 27.40
5 1 58,948.96 617.17 12.00% 589.49 27.68 2 58,921.28 617.17 12.00% 589.21 27.95 3 58,893.32 617.17 12.00% 588.93 28.23 4 58,865.09 617.17 12.00% 588.65 28.52 5 58,836.57 617.17 12.00% 588.37 28.80 6 58,807.77 617.17 12.00% 588.08 29.09 7 58,778.68 617.17 12.00% 587.79 29.38 8 58,749.30 617.17 12.00% 587.49 29.67 9 58,719.63 617.17 12.00% 587.20 29.97
10 58,689.66 617.17 12.00% 586.90 30.27 11 58,659.38 617.17 12.00% 586.59 30.57 12 58,628.81 617.17 12.00% 586.29 30.88
Effective Cost 12.82%
Chapter 4 Effective Cost of a Loan with Points
(Assuming monthly payments)
Note: Do not change the payment and interest rate below unless you want to change from a standard fixed rate mortgage.
End Balance Cash flow($58,200)
59,982.83 617.17 59,965.49 617.17 59,947.98 617.17 59,930.29 617.17 59,912.43 617.17 59,894.38 617.17 59,876.16 617.17 59,857.76 617.17 59,839.17 617.17 59,820.39 617.17 59,801.43 617.17 59,782.27 617.17 59,762.93 617.17 59,743.39 617.17 59,723.66 617.17 59,703.72 617.17 59,683.59 617.17 59,663.26 617.17 59,642.73 617.17 59,621.99 617.17 59,601.04 617.17 59,579.88 617.17 59,558.51 617.17 59,536.93 617.17 59,515.13 617.17 59,493.12 617.17 59,470.88 617.17
59,448.42 617.17 59,425.74 617.17 59,402.83 617.17 59,379.69 617.17 59,356.32 617.17 59,332.71 617.17 59,308.87 617.17 59,284.79 617.17 59,260.48 617.17 59,235.91 617.17 59,211.10 617.17 59,186.05 617.17 59,160.74 617.17 59,135.18 617.17 59,109.36 617.17 59,083.29 617.17 59,056.96 617.17 59,030.36 617.17 59,003.49 617.17 58,976.36 617.17 58,948.96 617.17 58,921.28 617.17 58,893.32 617.17 58,865.09 617.17 58,836.57 617.17 58,807.77 617.17 58,778.68 617.17 58,749.30 617.17 58,719.63 617.17 58,689.66 617.17 58,659.38 617.17 58,628.81 617.17 58,597.93 59,215
Chapter 4 Effective Cost of a Loan with Points
Loan $60,000 Term 30 yearsRate 12.00%Points 3.00%
Payment $ 617.17 (using payment function)Net Loan $ 58,200.00 Holding Period 5 yearsBalance $ 58,597.93 (present value of remaining payments)
Eff Cost 12.82% (using rate function)
Chapter 4 Effective Cost of a Constant Amortization Loan with Points
Input Assumptions
Loan amount $60,000 Initial Interest rate 12.00%Loan term 30 yearsPoints 3
Monthly payment $617.17 (If a CPM)Annual payment $7,406.01 (Assuming monthly payments)Annual constant 15.33% (Based on first month)Effective cost (calculated below) 12.88%
Note: Do not change the payment and interest rate below unless you want to change from a standard fixed rate mortgage.
Year Month Beg. Balance Payment Rate Interest0
1 1 $60,000.00 $766.67 12.00% 600.00 2 59,833.33 $765.00 12.00% 598.33 3 59,666.67 $763.33 12.00% 596.67 4 59,500.00 $761.67 12.00% 595.00 5 59,333.33 $760.00 12.00% 593.33 6 59,166.67 $758.33 12.00% 591.67 7 59,000.00 $756.67 12.00% 590.00 8 58,833.33 $755.00 12.00% 588.33 9 58,666.67 $753.33 12.00% 586.67
10 58,500.00 $751.67 12.00% 585.00 11 58,333.33 $750.00 12.00% 583.33 12 58,166.67 $748.33 12.00% 581.67
2 1 58,000.00 $746.67 12.00% 580.00 2 57,833.33 $745.00 12.00% 578.33 3 57,666.67 $743.33 12.00% 576.67 4 57,500.00 $741.67 12.00% 575.00 5 57,333.33 $740.00 12.00% 573.33 6 57,166.67 $738.33 12.00% 571.67 7 57,000.00 $736.67 12.00% 570.00 8 56,833.33 $735.00 12.00% 568.33 9 56,666.67 $733.33 12.00% 566.67
10 56,500.00 $731.67 12.00% 565.00 11 56,333.33 $730.00 12.00% 563.33 12 56,166.67 $728.33 12.00% 561.67
3 1 56,000.00 $726.67 12.00% 560.00 2 55,833.33 $725.00 12.00% 558.33 3 55,666.67 $723.33 12.00% 556.67 4 55,500.00 $721.67 12.00% 555.00 5 55,333.33 $720.00 12.00% 553.33 6 55,166.67 $718.33 12.00% 551.67 7 55,000.00 $716.67 12.00% 550.00 8 54,833.33 $715.00 12.00% 548.33
9 54,666.67 $713.33 12.00% 546.67 10 54,500.00 $711.67 12.00% 545.00 11 54,333.33 $710.00 12.00% 543.33 12 54,166.67 $708.33 12.00% 541.67
4 1 54,000.00 $706.67 12.00% 540.00 2 53,833.33 $705.00 12.00% 538.33 3 53,666.67 $703.33 12.00% 536.67 4 53,500.00 $701.67 12.00% 535.00 5 53,333.33 $700.00 12.00% 533.33 6 53,166.67 $698.33 12.00% 531.67 7 53,000.00 $696.67 12.00% 530.00 8 52,833.33 $695.00 12.00% 528.33 9 52,666.67 $693.33 12.00% 526.67
10 52,500.00 $691.67 12.00% 525.00 11 52,333.33 $690.00 12.00% 523.33 12 52,166.67 $688.33 12.00% 521.67
5 1 52,000.00 $686.67 12.00% 520.00 2 51,833.33 $685.00 12.00% 518.33 3 51,666.67 $683.33 12.00% 516.67 4 51,500.00 $681.67 12.00% 515.00 5 51,333.33 $680.00 12.00% 513.33 6 51,166.67 $678.33 12.00% 511.67 7 51,000.00 $676.67 12.00% 510.00 8 50,833.33 $675.00 12.00% 508.33 9 50,666.67 $673.33 12.00% 506.67
10 50,500.00 $671.67 12.00% 505.00 11 50,333.33 $670.00 12.00% 503.33 12 50,166.67 $668.33 12.00% 501.67
Effective Cost 12.88%
Chapter 4 Effective Cost of a Constant Amortization Loan with Points
(Assuming monthly payments)(Based on first month)
Note: Do not change the payment and interest rate below unless you want to change from a standard fixed rate mortgage.
Principal End Balance Cash flow($58,200)
166.67 59,833.33 766.67 166.67 59,666.67 765.00 166.67 59,500.00 763.33 166.67 59,333.33 761.67 166.67 59,166.67 760.00 166.67 59,000.00 758.33 166.67 58,833.33 756.67 166.67 58,666.67 755.00 166.67 58,500.00 753.33 166.67 58,333.33 751.67 166.67 58,166.67 750.00 166.67 58,000.00 748.33 166.67 57,833.33 746.67 166.67 57,666.67 745.00 166.67 57,500.00 743.33 166.67 57,333.33 741.67 166.67 57,166.67 740.00 166.67 57,000.00 738.33 166.67 56,833.33 736.67 166.67 56,666.67 735.00 166.67 56,500.00 733.33 166.67 56,333.33 731.67 166.67 56,166.67 730.00 166.67 56,000.00 728.33 166.67 55,833.33 726.67 166.67 55,666.67 725.00 166.67 55,500.00 723.33 166.67 55,333.33 721.67 166.67 55,166.67 720.00 166.67 55,000.00 718.33 166.67 54,833.33 716.67 166.67 54,666.67 715.00
1 2 3 4 5
$500
$550
$600
$650
$700
$750
$800
Loan Payments: Constant Amort Mortgage vs. Constant Payment Mortgage
Constant Amort Loan
Constant Payment Mortgage
Year
Pay
men
t
166.67 54,500.00 713.33 166.67 54,333.33 711.67 166.67 54,166.67 710.00 166.67 54,000.00 708.33 166.67 53,833.33 706.67 166.67 53,666.67 705.00 166.67 53,500.00 703.33 166.67 53,333.33 701.67 166.67 53,166.67 700.00 166.67 53,000.00 698.33 166.67 52,833.33 696.67 166.67 52,666.67 695.00 166.67 52,500.00 693.33 166.67 52,333.33 691.67 166.67 52,166.67 690.00 166.67 52,000.00 688.33 166.67 51,833.33 686.67 166.67 51,666.67 685.00 166.67 51,500.00 683.33 166.67 51,333.33 681.67 166.67 51,166.67 680.00 166.67 51,000.00 678.33 166.67 50,833.33 676.67 166.67 50,666.67 675.00 166.67 50,500.00 673.33 166.67 50,333.33 671.67 166.67 50,166.67 670.00 166.67 50,000.00 50,668
Chapter 4 Effective Cost of a Constant Amortization Loan with Points
1 2 3 4 5
$500
$550
$600
$650
$700
$750
$800
Loan Payments: Constant Amort Mortgage vs. Constant Payment Mortgage
Constant Amort Loan
Constant Payment Mortgage
Year
Pay
men
t
Chapter 4 Loan Balance on GPM
Input AssumptionsLoan Amount $60,000 Interest Rate 12.00%Loan Term 30 yearsPmt Increase 7.50%Inc. Years 5Points 0
Lender's Yield (after 7 yrs) 12.00%
INITIAL PAYMENT CALCULATION:
(1) (2) (3) (4) (5)PaymentPeriod Payment MPVIFA MPVIF (2x3x4)
1 1.00000 11.25508 1.00000 11.255082 1.07500 11.25508 0.88745 10.737433 1.15563 11.25508 0.78757 10.243604 1.24230 11.25508 0.69892 9.772475 1.33547 11.25508 0.62026 9.32302
6-25 1.43563 94.94655 0.55045 75.03072Pmt factor = 126.36231
Initial Payment:$474.83 <==== $60,000 126.36231
Loan Amt / Pmt Factor
LOAN AMORTIZATION SCHEDULE:
Month Payment Interest Principle Balance CPM Payment0 ($60,000) <==Amount Dispersed $60,000 1 $474.83 $600.00 ($125.17) $60,125 $617.17 2 $474.83 $601.25 ($126.43) $60,252 $617.17 3 $474.83 $602.52 ($127.69) $60,379 $617.17 4 $474.83 $603.79 ($128.97) $60,508 $617.17 5 $474.83 $605.08 ($130.26) $60,639 $617.17 6 $474.83 $606.39 ($131.56) $60,770 $617.17 7 $474.83 $607.70 ($132.88) $60,903 $617.17 8 $474.83 $609.03 ($134.20) $61,037 $617.17 9 $474.83 $610.37 ($135.55) $61,173 $617.17
10 $474.83 $611.73 ($136.90) $61,310 $617.17 11 $474.83 $613.10 ($138.27) $61,448 $617.17 12 $474.83 $614.48 ($139.65) $61,588 $617.17 EOY 1
Spreadsheet Limitations: Projections for 7 years
13 $510.44 $615.88 ($105.44) $61,693 $617.17 14 $510.44 $616.93 ($106.49) $61,799 $617.17 15 $510.44 $617.99 ($107.56) $61,907 $617.17 16 $510.44 $619.07 ($108.63) $62,016 $617.17 17 $510.44 $620.16 ($109.72) $62,125 $617.17 18 $510.44 $621.25 ($110.82) $62,236 $617.17 19 $510.44 $622.36 ($111.92) $62,348 $617.17 20 $510.44 $623.48 ($113.04) $62,461 $617.17 21 $510.44 $624.61 ($114.17) $62,575 $617.17 22 $510.44 $625.75 ($115.32) $62,691 $617.17 23 $510.44 $626.91 ($116.47) $62,807 $617.17 24 $510.44 $628.07 ($117.63) $62,925 $617.17 EOY 225 $548.72 $629.25 ($80.53) $63,005 $617.17 26 $548.72 $630.05 ($81.33) $63,087 $617.17 27 $548.72 $630.87 ($82.15) $63,169 $617.17 28 $548.72 $631.69 ($82.97) $63,252 $617.17 29 $548.72 $632.52 ($83.80) $63,336 $617.17 30 $548.72 $633.36 ($84.64) $63,420 $617.17 31 $548.72 $634.20 ($85.48) $63,506 $617.17 32 $548.72 $635.06 ($86.34) $63,592 $617.17 33 $548.72 $635.92 ($87.20) $63,679 $617.17 34 $548.72 $636.79 ($88.07) $63,767 $617.17 35 $548.72 $637.67 ($88.95) $63,856 $617.17 36 $548.72 $638.56 ($89.84) $63,946 $617.17 EOY 337 $589.87 $639.46 ($49.59) $63,996 $617.17 38 $589.87 $639.96 ($50.08) $64,046 $617.17 39 $589.87 $640.46 ($50.58) $64,096 $617.17 40 $589.87 $640.96 ($51.09) $64,147 $617.17 41 $589.87 $641.47 ($51.60) $64,199 $617.17 42 $589.87 $641.99 ($52.12) $64,251 $617.17 43 $589.87 $642.51 ($52.64) $64,304 $617.17 44 $589.87 $643.04 ($53.16) $64,357 $617.17 45 $589.87 $643.57 ($53.70) $64,411 $617.17 46 $589.87 $644.11 ($54.23) $64,465 $617.17 47 $589.87 $644.65 ($54.77) $64,520 $617.17 48 $589.87 $645.20 ($55.32) $64,575 $617.17 EOY 449 $634.11 $645.75 ($11.63) $64,587 $617.17 50 $634.11 $645.87 ($11.75) $64,598 $617.17 51 $634.11 $645.98 ($11.87) $64,610 $617.17 52 $634.11 $646.10 ($11.99) $64,622 $617.17 53 $634.11 $646.22 ($12.11) $64,634 $617.17 54 $634.11 $646.34 ($12.23) $64,647 $617.17 55 $634.11 $646.47 ($12.35) $64,659 $617.17 56 $634.11 $646.59 ($12.47) $64,671 $617.17 57 $634.11 $646.71 ($12.60) $64,684 $617.17 58 $634.11 $646.84 ($12.73) $64,697 $617.17 59 $634.11 $646.97 ($12.85) $64,710 $617.17 60 $634.11 $647.10 ($12.98) $64,722 $617.17 EOY 561 $681.67 $647.22 $34.45 $64,688 $617.17 62 $681.67 $646.88 $34.79 $64,653 $617.17 63 $681.67 $646.53 $35.14 $64,618 $617.17 64 $681.67 $646.18 $35.49 $64,583 $617.17 65 $681.67 $645.83 $35.85 $64,547 $617.17 66 $681.67 $645.47 $36.21 $64,511 $617.17
67 $681.67 $645.11 $36.57 $64,474 $617.17 68 $681.67 $644.74 $36.93 $64,437 $617.17 69 $681.67 $644.37 $37.30 $64,400 $617.17 70 $681.67 $644.00 $37.68 $64,362 $617.17 71 $681.67 $643.62 $38.05 $64,324 $617.17 72 $681.67 $643.24 $38.43 $64,286 $617.17 EOY 673 $681.67 $642.86 $38.82 $64,247 $617.17 74 $681.67 $642.47 $39.21 $64,208 $617.17 75 $681.67 $642.08 $39.60 $64,168 $617.17 76 $681.67 $641.68 $39.99 $64,128 $617.17 77 $681.67 $641.28 $40.39 $64,088 $617.17 78 $681.67 $640.88 $40.80 $64,047 $617.17 79 $681.67 $640.47 $41.20 $64,006 $617.17 80 $681.67 $640.06 $41.62 $63,964 $617.17 81 $681.67 $639.64 $42.03 $63,922 $617.17 82 $681.67 $639.22 $42.45 $63,879 $617.17 83 $681.67 $638.79 $42.88 $63,837 $617.17 84 $64,474.98 $638.37 $43.31 $63,793 $617.17 EOY 7
Chapter 4 Loan Balance on GPM
0123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384
$57,000 $58,000 $59,000 $60,000 $61,000 $62,000 $63,000 $64,000 $65,000 $66,000
GPM Loan Balance
Month
Bal
ance
012345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970717273747576777879808182
$300 $350 $400 $450 $500 $550 $600 $650 $700 $750
GPM vs CPM Payment
Month
Pay
men
t
0123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384
$57,000 $58,000 $59,000 $60,000 $61,000 $62,000 $63,000 $64,000 $65,000 $66,000
GPM Loan Balance
Month
Bal
ance
012345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970717273747576777879808182
$300 $350 $400 $450 $500 $550 $600 $650 $700 $750
GPM vs CPM Payment
Month
Pay
men
t
Chapter 5 Unrestricted ARM
Loan assumptionsAmount $60,000 Initial rate 8.00%Term 30 yearsPayments per year 12Margin 2.00%Points 2.00%
Loan schedule
Year Index Rate Payment Balance Cash flow(58,800)
1 8.00% 440.26 59,499 5,283 2 10.00% 12.00% 614.24 59,255 7,371 3 13.00% 15.00% 752.26 59,106 9,027 4 15.00% 17.00% 846.20 58,991 10,154 5 10.00% 12.00% 617.60 58,639 66,050
Yield 12.98%
Yield is based on monthly cash flows below.
Month Cash flow0 (58,800)1 440 2 440 3 440 4 440 5 440 6 440 7 440 8 440 9 440
10 440 11 440 12 440 13 614 14 614 15 614 16 614 17 614 18 614
19 614 20 614 21 614 22 614 23 614 24 614 25 752 26 752 27 752 28 752 29 752 30 752 31 752 32 752 33 752 34 752 35 752 36 752 37 846 38 846 39 846 40 846 41 846 42 846 43 846 44 846 45 846 46 846 47 846 48 846 49 618 50 618 51 618 52 618 53 618 54 618 55 618 56 618 57 618 58 618 59 618 60 59,257
Chapter 5 ARM with Interest Rate Cap
Loan assumptionsAmount $60,000 Initial rate 11.00%Annual rate cap 2.00%Lifetime rate cap 5.00%Term 30 yearsPayments per year 12Margin 2.00%Points 2.00%
Loan scheduleUnrestricted Restricted
Year Index Rate Rate Payment Balance Cash flow(58,800)
1 11.00% 11.00% 571.39 59,730 6,857 2 10.00% 12.00% 12.00% 616.63 59,485 7,400 3 13.00% 15.00% 14.00% 708.37 59,301 8,500 4 15.00% 17.00% 16.00% 801.65 59,159 9,620 5 10.00% 12.00% 12.00% 619.37 58,807 66,239
Yield 13.38%
Yield is based on monthly cash flows below.
Month Cash flow0 (58,800)1 571 2 571 3 571 4 571 5 571 6 571 7 571 8 571 9 571
10 571 11 571 12 571 13 617 14 617 15 617 16 617
17 617 18 617 19 617 20 617 21 617 22 617 23 617 24 617 25 708 26 708 27 708 28 708 29 708 30 708 31 708 32 708 33 708 34 708 35 708 36 708 37 802 38 802 39 802 40 802 41 802 42 802 43 802 44 802 45 802 46 802 47 802 48 802 49 619 50 619 51 619 52 619 53 619 54 619 55 619 56 619 57 619 58 619 59 619 60 59,426
Cash flow
Chapter 5ARM with Payment Cap
Loan assumptionsAmount $60,000 Initial rate 9.00%Annual Payment cap 7.50%Term 30 yearsPayments per year 12Margin 2.00%Points 2.00%
Loan scheduleUnrestricted Capped
Year Index Rate Payment Payment Balance Cash flow(58,800)
1 9.00% 482.77 482.77 59,590 5,793 2 10.00% 12.00% 615.18 518.98 60,566 7,382 3 13.00% 15.00% 768.90 557.91 63,127 9,227 4 15.00% 17.00% 903.77 599.75 66,950 10,845 5 10.00% 12.00% 700.94 644.73 67,265 75,676
Yield 15.60%
Yield is based on monthly cash flows below.
Month Cash flow0 (58,800)1 483 2 483 3 483 4 483 5 483 6 483 7 483 8 483 9 483
10 483 11 483 12 483 13 615 14 615 15 615 16 615 17 615 18 615
19 615 20 615 21 615 22 615 23 615 24 615 25 769 26 769 27 769 28 769 29 769 30 769 31 769 32 769 33 769 34 769 35 769 36 769 37 904 38 904 39 904 40 904 41 904 42 904 43 904 44 904 45 904 46 904 47 904 48 904 49 701 50 701 51 701 52 701 53 701 54 701 55 701 56 701 57 701 58 701 59 701 60 67,966
Cash flow
Chapter 5Shared Appreciation Mortgage
Part A
Loan assumptionsHome price $110,000Home apprec. 25.00%Resale price $137,500Loan $95,000 Term 30 yearsRate 8.00%Points 0.00%Participation 30.00%
Payment $697.08 (using payment function)Net Loan 95000Holding Period 5 yearsBalance $90,316.36 (present value of remaining payments)Appreciation $8,250Total to lender $98,566.36
Eff Cost 9.40% (using rate function)
Part B
Loan assumptionsHome price $110,000Home apprec. 76.79%Resale price $194,467Loan $95,000 Term 30 yearsRate 8.00%Points 0.00%Participation 30.00%
Payment $697.08 (using payment function)Net Loan 95000Holding Period 5 yearsBalance $90,316.36 (present value of remaining payments)Appreciation $25,340Total to lender $115,656.47
Eff Cost 12.00% (using rate function)
Part C - I
Home Appreciation is solved using Solver by setting Eff cost (C45) as target cell and Home Appreciation (C30) as changing cell
Loan assumptionsHome price $110,000Home apprec. 25.00%Resale price $137,500Loan $95,000 Term 30 yearsRate 8.00%Points 2.00%Participation 30.00%
Payment $697.08 (using payment function)Net Loan 93100Holding Period 5 yearsBalance $90,316.36 (present value of remaining payments)Appreciation $8,250Total to lender $98,566.36
Eff Cost 9.90% (using rate function)
Part C - II
Loan assumptionsHome price $110,000Home apprec. 66.33%Resale price $182,960Loan $95,000 Term 30 yearsRate 8.00%Points 2.00%Participation 30.00%
Payment $697.08 (using payment function)Net Loan 93100Holding Period 5 yearsBalance $90,316.36 (present value of remaining payments)Appreciation $21,888Total to lender $112,204.44
Eff Cost 12.00% (using rate function)
Home Appreciation is solved using Solver by setting Eff cost (C78) as target cell and Home Appreciation (C72) as changing cell
Chapter 5Shared Appreciation Mortgage
Part A
Part B
Part C - I
Home Appreciation is solved using Solver by setting Eff cost (C45) as target cell and Home Appreciation (C30) as changing cell
Part C - II
Home Appreciation is solved using Solver by setting Eff cost (C78) as target cell and Home Appreciation (C72) as changing cell
Chapter 6Incremental Cost
PART A
Holding period 25
Loan Points Loan Proceeds Rate Term* Payment$90,000 0.00% $90,000 8.50% 25 724.70$80,000 0.00% $80,000 8.00% 25 617.45$10,000 $10,000 25 107.25
Incremental Cost 12.87% *Should be the same term for both loans
PART B
Holding period 25
Loan Points Loan Proceeds Rate Term* Payment$90,000 2.00% $88,200 8.50% 25 724.70$80,000 0.00% $80,000 8.00% 25 617.45$10,000 $8,200 25 107.25
Incremental Cost 15.77% *Should be the same term for both loans
PART C
Holding period 5
Loan Points Loan Proceeds Rate Term* Payment$90,000 2.00% $88,200 8.50% 25 724.70$80,000 0.00% $80,000 8.00% 25 617.45$10,000 $8,200 25 107.25
Incremental Cost 18.40% *Should be the same term for both loans
Chapter 6Incremental Cost
PART A
Balance$90,000.00 $80,000.00
10,000.00
*Should be the same term for both loans
PART B
Balance$90,000.00 $80,000.00
10,000.00
*Should be the same term for both loans
PART C
Balance$90,000.00 $80,000.00
10,000.00
*Should be the same term for both loans
Chapter 6Combined Cost
PART A
Holding period 20Loan 1Loan Points Loan Proceeds Rate Term* Payment
$220,000 0.00% $220,000 9.50% 20 2,050.69
Loan 2Loan Points Loan Proceeds Rate Term* Payment
$180,000 0.00% $180,000 9.00% 20 1,619.51$40,000 0.00% $40,000 13.00% 20 468.63220000 220000 20 2,088.14
Discount rate 9.00%Net Benefit in taking Loan 1 $4,162.20
PART B
Holding period 5Loan 1Loan Points Loan Proceeds Rate Term* Payment
$220,000 0.00% $220,000 9.50% 20 2,050.69
Loan 2Loan Points Loan Proceeds Rate Term* Payment
$180,000 0.00% $180,000 9.00% 20 1,619.51$40,000 0.00% $40,000 13.00% 20 468.63220000 220000 20 2,088.14
Discount rate 9.00%Net Benefit in taking Loan 1 $1,804.02
PART C - I
Holding period 20Loan 1Loan Points Loan Proceeds Rate Term* Payment
$220,000 0.00% $220,000 9.50% 20 2,050.69
Loan 2Loan Points Loan Proceeds Rate Term* Payment
$180,000 0.00% $180,000 9.00% 20 1,619.51$40,000 0.00% $40,000 13.00% 10 597.24220000 220000 20 2,216.75
Discount rate 9.00%
Net Benefit in taking Loan 1 ($1,268.97)
PART C - II
Holding period 5Loan 1Loan Points Loan Proceeds Rate Term* Payment
$220,000 0.00% $220,000 9.50% 20 2,050.69
Loan 2Loan Points Loan Proceeds Rate Term* Payment
$180,000 0.00% $180,000 9.00% 20 1,619.51$40,000 0.00% $40,000 13.00% 10 597.24220000 220000 20 2,216.75
Discount rate 9.00%Net Benefit in taking Loan 1 $7,999.72
Chapter 6Combined Cost
PART A
Balance$220,000.00
Balance$180,000.00
$40,000.00 220000
PART B
Balance$220,000.00
Balance$180,000.00
$40,000.00 220000
PART C - I
Balance$220,000.00
Balance$180,000.00
$40,000.00 220000
PART C - II
Balance$220,000.00
Balance$180,000.00
$40,000.00 220000
Chapter 7Rent versus Own Analysis of a Personal Residence
Property information Loan Information:
Loan-to-value ratioPurchase price $150,000 Loan amountInitial Rent $12,000 Interest rateRental growth rate 2.00% Loan term (years)Property growth rate 2.00% Payments (per year)Insurance $500Maintenance $500Expense growth 2.00%Marginal tax rate 28.00%Property tax % 1.50%Selling expenses 7.00%
Loan and equity calculations
Annual debt service (payment) $9,580 Annual loan constant 7.98% Equity investment $30,000
Summary loan scheduleEnd of year 1 2Payment $9,580 $9,580 Balance 118,781 117,474 Interest 8,361 8,273 Principal 1,219 1,307
Property Data0 1 2
Property value $150,000 153,000 156,060 Rents 12,000 12,240
BTCF (owner)Year 1 2
Property taxes 2,250 2,295Insurance 500 510Maintenance 500 510Principal and Interest 9,580 9,580Cash Outflows before taxes 12,830 12,895
Tax deductions from owning
Property taxes $2,250 $2,295 Interest 8,361 8,273
Total tax deductions $10,611 $10,568Tax savings 2,971 2,959
Net cost of owningCash Outflows before taxes 12,830 12,895 Tax savings 2,971 2,959 After tax cost 9,859 9,936
Net cost of rentingRents $12,000 $12,240
Net Cash Flow from Owning Before SaleCost of renting $12,000 $12,240Cost of owning 9,859 9,936 After Tax Cash Flow Own vs Rent $2,141 $2,304
BT Cash Flow - Sale1 2
Sales price 153,000 156,060 Selling Costs 10,710 10,924 Mortgage balance 118,781 117,474 Benefit from sale (own - rent) 23,509 27,662
AT Cash Flow - Sale
Sales price $153,000 $156,060 Less selling costs 10,710 10,924 Less purchase price 150,000 150,000 Gain on sale (7,710) (4,864)Exclusion 0 0 Taxable gain 0 0 Tax 0 0 After tax cash flow 23,509 27,662
Cash savings and IRR summaryCash flows
Year Sold 0 1 21 -30,000 $25,650 2 -30,000 2,141 29,9663 -30,000 2,141 2,3044 -30,000 2,141 2,3045 -30,000 2,141 2,304
Chapter 7Rent versus Own Analysis of a Personal Residence
Loan Information:
Loan-to-value ratio 80.00%$120,000
7.00%3012
Summary loan schedule3 4 5
$9,580 $9,580 $9,580 116,072 114,569 112,958
8,179 8,077 7,969 1,402 1,503 1,612
Property Data3 4 5
159,181 162,365 165,612 12,485 12,734 12,989
BTCF (owner)3 4 5
2,341 2,388 2,435520 531 541520 531 541
9,580 9,580 9,58012,962 13,029 13,098
Tax deductions from owning
$2,341 $2,388 $2,435 8,179 8,077 7,969
$10,520 $10,465 $10,4042,946 2,930 2,913
Net cost of owning12,962 13,029 13,098
2,946 2,930 2,913 10,016 10,099 10,185
Net cost of renting$12,485 $12,734 $12,989
Net Cash Flow from Owning Before Sale$12,485 $12,734 $12,98910,016 10,099 10,185 $2,469 $2,635 $2,804
BT Cash Flow - Sale3 4 5
159,181 162,365 165,612 11,143 11,366 11,593
116,072 114,569 112,958 31,966 36,430 41,061
AT Cash Flow - Sale
$159,181 $162,365 $165,612 11,143 11,366 11,593
150,000 150,000 150,000 (1,961) 999 4,019
0 999 4,019 0 0 0 0 0 0
31,966 36,430 41,061
Cash savings and IRR summaryATIRR
3 4 5-14.50%
3.57%34,435 9.63%
2,469 39,065 12.34%2,469 2,635 43,865 13.71%
Chapter 9Effective Rents
Data Input Box:Inerest Rate 0.1 AdjustmentsYear 1 Rents Step Amount 1Net Lease with Steps 10 Percent CPI Adj. 1Net with CPI Adjustment 11 Yr 2 CPI 0.02Gross Lease 17.5 CPI Growth 0.01Gross with Exp. Stop 15.5 Yr 1 Expenses 4Gross with Exp. Stop &CPI 14.5 Expense Growth 0.5Year 2 Rents Expense Stop 4Net Lease with Free Rent 14.5
NET LEASE with STEPS:Year 1 2 3 4 5
Net Rent $ 10.00 11.00 12.00 13.00 14.00 Average Rent $ 12.00 Present Value 44.77 Effective Rent 11.81
NET LEASE with FREE RENT:Year 1 2 3 4 5
Net Rent 0 14.50 15.50 16.50 17.50 Average Rent 12.80 Present Value 45.76 Effective Rent 12.07
NET LEASE with CPI ADJUSTMENT:Year 1 2 3 4 5
Expected CPI - 2.00% 3.00% 4.00% 5.00%Net Rent 11.00 11.22 11.56 12.02 12.62Average Rent 11.68 Present Value 44.00 Effective Rent 11.61
GROSS LEASE:Year 1 2 3 4 5
Gross Rent 17.50 17.50 17.50 17.50 17.50 Less Expenses 4.00 4.50 5.00 5.50 6.00 Net Rent 13.50 13.00 12.50 12.00 11.50 Average Rent 12.50 Present Value 47.74 Effective Rent 12.59
Spreadsheet Limitations: Net Lease with free rent has begins payment year two.
GROSS LEASE with EXPENSE STOP:Year 1 2 3 4 5
Gross Rent 15.50 15.50 15.50 15.50 15.50 Less Expenses 4.00 4.50 5.00 5.50 6.00 Plus Reimburse 0.00 0.50 1.00 1.50 2.00 Net Rent 11.50 11.50 11.50 11.50 11.50 Average Rent 11.50 Present Value 43.59 Effective Rent 11.50
GROSS LEASE with EXPENSE STOP and CPI ADJUSTMENT:Year 1 2 3 4 5
Expected CPI - 2.00% 3.00% 4.00% 5.00%Gross Rent 14.50 14.79 15.23 15.84 16.64Less Expenses 4.00 4.50 5.00 5.50 6.00 Plus Reimburse 0.00 0.50 1.00 1.50 2.00 Net Rent 10.50 10.79 11.23 11.84 12.64 Average Rent 11.40 Present Value 42.84 Effective Rent 11.30
Chapter 9Effective Rents
Data Input Box:
per year
per year
per year
Net Lease with free rent has begins payment year two.
Chapter 10Mortgage-Equity Capitalization
Data Input Box:NOI 50000Projected Increase in NOI 0.03 per yearOperating Expenses 0.3 of EGILoan: Debt Coverage Ratio 1.2 Interest 0.11 Term 20 years Payments per year 12
Holding Period 5 yearsTerminal Cap Rate 0.11Before-tax Equity Yield 0.12
Loan Constant 12.3863%Loan Amount 336,394 67.02% LTVLoan Balance 305,493 in year 5
Year 1 2 3 4 5Net Operating Income 50,000 51,500 53,045 54,636 56,275
Debt Service 41,667 41,667 41,667 41,667 41,667 Before-tax Cash Flow 8,333 9,833 11,378 12,970 14,609
DCR 1.20 1.24 1.27 1.31 1.35
Cash Flows from Sale in Year 5
Sales Price 526,943 Mortgage Balance 305,493 Before-tax Cash Flow 221,450
Present Value of Operations at 12.00% 39,910 Present value of Reversion at 12.00% 125,657 Total Equity 165,567
Total Equity 165,567 Mortgage 336,394 Total Present Value 501,961
Spreadsheet Limitations: Five year Holding Period; loan based on DCR and resale based on terminal cap rate.
Check:Cash Flow Summary
Year 0 1 2 3 4BTCF (165,567) 8,333 9,833 11,378 12,970
BTIRR 12.00%
Chapter 10Mortgage-Equity Capitalization
657,964
: Five year Holding Period; loan based on DCR and resale based on terminal cap rate.
5236,059
Chapter 10Highest and Best Use Analysis
Data Input Box:Office Retail Apartment
NOI yr 1 $500,000 $600,000 $400,000 13.00% 12.00% 12.00%3.00% 4.00% 3.00%
Building Costs 4,000,000 4,000,000 4,000,000
HIGHEST and BEST USE ANALYSIS:
Use Year 1 NOI ROffice $500,000 10.00% 5,000,000 4,000,000 Retail 600,000 8.00% 7,500,000 4,000,000 Apartment 400,000 9.00% 4,444,444 4,000,000 Warehouse 400,000 8.00% 5,000,000 4,000,000
Return or rGrowth or g
Implied Property Value
Building Costs
Chapter 10Highest and Best Use Analysis
Data Input Box:Warehouse$400,000 10.00%2.00%
4,000,000
HIGHEST and BEST USE ANALYSIS:
1,000,000 3,500,000 444,444
1,000,000
Implied Land Value
Chapter 10Oakwood Apartment Example
Building Name OakwoodAddress 1234 Elm StreetCity AnywhereState USATotal Units 95Unit Size 1,100 Building Size (SF) 104,500
Analysis Begin Date 1/1/2000Holding Period 5Discount Rate 11.00%Terminal Rate 9.00%Selling Cost 5.00%
Inputs Apartment UnitName Two BedroomUnits 95Monthly Rent $1,200.00 Lease Term (Yrs) 1 Market Monthly Rent $1,250.00 Market Rent Increase 3.00%
Laundry Income/unit/year $120.00 Laundry Income increase 3.00%
Market Vacancy Rate 5.00%Credit Loss Rate 1.00%
% of EGI $ Amount $ per UnitReal Estate Taxes 0.00% $87,000.00 $0.00 Office Expenses 0.00% $20,000.00 $0.00 Insurance 0.00% $0.00 $150.00 Repairs & Maintenance 0.00% $0.00 $550.00 Advertising 0.00% $8,000.00 $0.00 Management 12.00% $0.00 $0.00 Utilities 0.00% $45,000.00 $0.00 Miscellaneous Expenses 0.00% $15,000.00 $0.00
OutputsYear 1 2 3
Income:Current Rent $1,368,000 $0 $0 Market Rent from lease renewals $0 $1,467,750 $1,511,783Laundry Income $11,400 $11,742 $12,094Potential Gross Income (PGI) $1,379,400 $1,479,492 $1,523,877 Less: Vacancy $68,400 $73,388 $75,589 Less: Credit Loss $13,794 $14,795 $15,239
Effective Gross Income (EGI) $1,297,206 $1,391,310 $1,433,049
Expenses:Real Estate Taxes $87,000 $89,175 $91,404 Office Expenses $20,000 $20,600 $21,218 Insurance $14,250 $14,678 $15,118 Repairs & Maintenance $52,250 $53,818 $55,432 Advertising $8,000 $8,240 $8,487 Management $155,665 $166,957 $171,966 Utilities $45,000 $46,350 $47,741 Miscellaneous Expenses $15,000 $15,450 $15,914 Total Expenses $397,165 $415,267 $427,279
Net Operating Income (NOI) $900,041 $976,042 $1,005,770
Expenses % of EGI 30.62% 29.85% 29.82%
Net Operating Income $900,041 $976,042 $1,005,770 PV Factors 0.90090 0.81162 0.73119 Present Value $810,848 $792,178 $735,410
Resale $12,227,545 Selling Cost $611,377 Net Resale $11,616,168 PV Factor 0.59345 PVResale $6,893,630
Implied Change in Value
Chapter 10Oakwood Apartment Example
Change %2.50%3.00%3.00%3.00%3.00%0.00%3.00%3.00%
Outputs4 5 6
$0 $0 $0 $1,557,136 $1,603,850 $1,651,966
$12,457 $12,831 $13,216$1,569,593 $1,616,681 $1,665,181
$77,857 $80,193 $82,598 $15,696 $16,167 $16,652
$1,476,040 $1,520,322 $1,565,931
$93,689 $96,032 $98,433 $21,855 $22,510 $23,185 $15,571 $16,039 $16,520 $57,095 $58,808 $60,572
$8,742 $9,004 $9,274 $177,125 $182,439 $187,912
$49,173 $50,648 $52,167 $16,391 $16,883 $17,389
$439,641 $452,361 $465,452
$1,036,400 $1,067,960 $1,100,479
29.79% 29.75% 29.72%
$1,036,400 $1,067,960 $1,100,479 0.65873 0.59345
$682,709 $633,782
Sum PV NOI $3,654,927 PV Resale $6,893,630 Value $10,548,557
Implied Change in Value 15.92%
Chapter 11 Lease Calculations: Given Lease Data, Solve for NOI
Corresponds with Homework Problem 10-1
Input Data:Current Market Rent $15.00 per s.f.Gross square feet of building 100,000 s.f.Net rentable square feet of building 96,000 s.f.Projected Increase in Market Rent 4.00% per yearManagement costs 5.00% of Effective Gross IncomeEstimated increase in CPI 4.00% per yearVacancy rate starting year 4 5.00% per year
SUMMARY LEASE INFORMATION
Current Tenant Sq. ft. Rent Current
per s.f. Rent
Tenant 1 70,000 $14.00 $980,000 Tenant 2 0 $14.00 0 Tenant 3 0 $14.00 0 Tenant 4 10,000 $14.50 145,000 Tenant 5 0 $15.00 0 Tenant 6 16,000 $15.00 240,000
Total 96,000 1,365,000
Note: Expense stop excludes management expenses
Summary of Expense InformationDollars per s.f.
Property tax $148,800 1.55Insurance 14,400 0.15Utilities 120,000 1.25Janitorial 76,800 0.80Maintenance 67,200 0.70
Subtotal (before mgt) 427,200 4.45
Management $68,250 0.71
Total $495,450 $5.16
Spreadsheet Assumption: Vacancy rate does not take effect until the beginning of year 4.
PROJECTED BASE INCOMEYear 1 2
Tenant 1 980,000 980,000 Tenant 2 0 0 Tenant 3 0 0 Tenant 4 145,000 145,000 Tenant 5 0 0 Tenant 6 240,000 240,000
Total base 1,365,000 1,365,000
Tenant 1 19,600 39,592 Tenant 4 2,900 5,858 Tenant 6 0 4,800
Total CPI 22,500 50,250
Total Base and CPI 1,387,500 1,415,250
Expense ReinmursementsTenant 1 $31,500 $39,445 Tenant 2 0 0 Tenant 3 0 0 Tenant 4 2,000 3,135 Tenant 5 0 0 Tenant 6 0 1,816 Total Reimbursements 33,500 44,396
Potential Gross Income 1,421,000 1,459,646 Vacancy 0 0 Effective Gross Income 1,421,000 1,459,646
SUMMARY OF OPERATING EXPENSES
Reimbursable expensesProperty tax 148,800 148,800 Insurance 14,400 14,976 Utilities 120,000 126,000 Janitorial 76,800 79,104 Maintenance 67,200 69,216 Total before management 427,200 438,096 per s.f. 4.45 4.56
Non reimbursable expensesManagement 71,050 72,982
Total expenses
Total Expenses 498,250 511,078
PROJECTED NET OPERATING INCOMEYear 1 2
Base income $1,365,000 $1,365,000 Plus CPI Adjustment 22,500 50,250 Plus Reimbursements $33,500 $44,396 Total Potential Income $1,421,000 $1,459,646 Less Vacancy 0 0 Effective Gross Income 1,421,000 1,459,646 Less operating expenses: Reimbursable expenses 427,200 438,096 Non reimbursable expenses 71,050 72,982 NOI $922,750 $948,568
Asking price $8,500,000 Capitalization rate 10.86% (1st year NOI / Price)
Average compound increase in NOI 2.63%
Chapter 11 Lease Calculations: Given Lease Data, Solve for NOI
Corresponds with Homework Problem 10-1
SUMMARY LEASE INFORMATION
Remaining Expense stop CPI adjustment
term (yrs) per s.f.
3 $4.00 50.00%3 4.00 50.00%3 4.00 50.00%4 4.25 50.00%5 4.45 50.00%5 4.45 50.00%
Note: Expense stop excludes management expenses
Summary of Expense Information
Level for 2 years then 10% increase, then level increase 4.00% per year increase 5.00% per year increase 3.00% per year increase 3.00% per year
(before management expenses)
5.00% of EGI
Vacancy rate does not take effect until the beginning of year 4.
PROJECTED BASE INCOME3 4 5 6
980,000 1,181,107 1,181,107 1,181,107 0 0 0 0 0 0 0 0
145,000 145,000 175,479 175,479 0 0 0 0
240,000 240,000 240,000 291,997
1,365,000 1,566,107 1,596,586 1,648,583
59,984 0 23,622 47,717 8,875 11,953 0 3,510 9,696 14,690 19,784 0
78,555 26,643 43,406 51,226
1,443,555 1,592,750 1,639,992 1,699,809
Expense Reinmursements$58,570 $0 $8,979 $18,334
0 0 0 0 0 0 0 0
5,867 7,099 0 1,336 0 0 0 0
6,187 8,158 10,210 0 70,625 15,256 19,189 19,670
1,514,180 1,608,006 1,659,181 1,719,479 0 80,400 82,959 85,974
1,514,180 1,527,606 1,576,222 1,633,505
SUMMARY OF OPERATING EXPENSES
Reimbursable expenses163,680 163,680 163,680 163,680
15,575 16,198 16,846 17,520 132,300 138,915 145,861 153,154
81,477 83,921 86,439 89,032 71,292 73,431 75,634 77,903
464,325 476,146 488,460 501,289 4.84 4.96 5.09 5.22
Non reimbursable expenses75,709 76,380 78,811 81,675
Total expenses
540,034 552,526 567,271 582,964
PROJECTED NET OPERATING INCOME3 4 5 6
$1,365,000 $1,566,107 $1,596,586 $1,648,583 78,555 26,643 43,406 51,226
$70,625 $15,256 $19,189 $19,670 $1,514,180 $1,608,006 $1,659,181 $1,719,479
0 80,400 82,959 85,974 1,514,180 1,527,606 1,576,222 1,633,505
464,325 476,146 488,460 501,289 75,709 76,380 78,811 81,675
$974,146 $975,080 $1,008,951 $1,050,541
(years 1 to 6)
Chapter 11Basic Investment Analysis
Data Input Box:Purchase price $8,500,000 Resale Price $9,700,000
BEFORE TAX CASH FLOW FROM OPERATIONS:Year 0 1 2 3
Purchase price ($8,500,000)
922,750 948,568 974,146 Sales PriceCash flow ($8,500,000) 922,750 948,568 974,146
IRR 13.46%
Discount rate 14.00%
Present Value of Cash flows $8,336,061.59
Spreadsheet Assumptions: 5 year holding period.
Net Operating Income (NOI) (from Ch11_Lease)
Chapter 11Basic Investment Analysis
BEFORE TAX CASH FLOW FROM OPERATIONS:4 5
975,080 1,008,951 9,700,000
975,080 10,708,951
Chapter 11After Tax Investment Analysis
Also assumes land costs to be 15% of purchase price.
Data Input Box:Purchase price 8500000 Tax Considerations:Building Value 7225000 Depreciation (in years)Ordinary income tax rate 0.36 Capital gains tax rateLoan-to-Value 0.7 Depreciation recaptureLoan Interest 0.1Loan term 20 years Building Square Footage:Payments per year 12 GrossResale Price 9700000 NetHolding Period 5 yearsSelling costs 0 of sale priceEquity discount rate 0.13Reinvestment rate 0.06
Equity 2,550,000 Loan 5,950,000 Annual Loan Payment 689,025 Mortgage Balance 5,343,245 year 5
SUMMARY LOAN INFORMATION:End of Year 1 2 3
Payment 689,025 689,025 689,025 Mortgage Balance 5,851,543 5,742,776 5,622,620 Interest 590,569 580,259 568,869 Principal 98,457 108,767 120,156
TAXABLE INCOME & AFTER-TAX CASH FLOW FROM OPERATIONS:Taxable Income (Loss):
922,750 948,568 974,146 Less: Interest 590,569 580,259 568,869 Depreciation 185,256 185,256 185,256 Taxable Income (Loss) 146,925 183,053 220,020 Tax (Savings) at 36% 52,893 65,899 79,207
Cash flow from operations:Net Operating Income (NOI) $922,750 $948,568 $974,146 Less Debt Service (DS) 689,025 689,025 689,025
Spreadsheet Assumptions: 5 year holding period. Assumes passive losses used in year they are incurred. No PAL limitations considered.
Net Operating Income (NOI) (from Ch11_Lease)
Before Tax Cash Flow $233,725 $259,542 $285,121 Less Tax 52,893 65,899 79,207 After-tax Cash Flow $180,832 $193,643 $205,913
AFTER-TAX CASH CLOW FROM SALE IN YEAR 5:Sales Price 9,700,000 Sales costs 0 Mortgage Balance 5,343,245 Before-tax cash flow 4,356,755
Original Cost Basis 8,500,000 Accumulated Depreciation 926,282 Adjusted Basis 7,573,718
Capital Gain 2,126,282 Depreciation recapture 926,282 Price appreciation 1,200,000
Tax on price appreciation 180,000 Tax on depreciation recapture 231,571 Total capital gain tax 411,571 After-Tax Cash Flow from Sale 3,945,184
CASH FLOW SUMMARYBTIRR on Equity
Year 0 1 2Before-Tax Cash Flow ($2,550,000) $233,725 $259,542 After-Tax Cash Flow ($2,550,000) $180,832 $193,643
Before-Tax IRR (BTIRR) 20.08%After-Tax IRR (ATIRR) 15.75%
Effective Tax Rate 21.57%
AFTER-TAX NET PRESENT VALUE
$696,943
2,141,288 Total Present Value 2,838,231 Less Original Equity Investment (2,550,000)After-Tax Net Present Value 288,231
Modified AT IRR (using reinvestment rate) 14.73% (also called Adjusted IRR)
BEFORE-TAX INVESTMENT ANALYSIS MEASURESPrice/Gross Square Foot $85.00 Price/Net Square Foot $88.54 Capitalization Rate 10.86%
Set purchase price (C10) equal to Cell D87 to make "circular" and solve for value
PV of ATCFo
PV of ATCFs
First Year Debt Coverage Ratio (DCR) 1.34Modified IRR (6% reinvestment rate) 18.28%NPV (18% discount rate) 771,455 Profitablility Index (18% discount rate) 1.30 BT Equivalent Yield 24.61%
Chapter 11After Tax Investment Analysis
Data Input Box:
390.150.25
10000096000
SUMMARY LOAN INFORMATION:4 5
689,025 689,025 5,489,883 5,343,245
556,288 542,388 132,738 146,637
TAXABLE INCOME & AFTER-TAX CASH FLOW FROM OPERATIONS:
975,080 1,008,951 556,288 542,388 185,256 185,256 233,536 281,306
84,073 101,270
$975,080 $1,008,951 689,025 689,025
5 year holding period. Assumes passive losses used in year they are incurred. No PAL limitations considered.
$286,054 $319,925 84,073 101,270
$201,981 $218,655
CASH FLOW SUMMARY
3 4 5$285,121 $286,054 $4,676,680 $205,913 $201,981 $4,163,839
Chapter 12 Participation LoanLoan Analysis
No passive activity loss limitations (PALL) considered. Set all data cells that do not apply to zero.
Data Input Box:Purchase 1000000 Tax Considerations:NOI year 1 100000 Building ValueGrowth-NOI 0.03 DepreciationLoan-to-Value 0.7 Tax rateLoan Interest (Payment) 0.08Loan Interest (Accural) 0.08Loan Amortization Term 15 yearsLoan Due 15 yearsPayments per year 12Equity Participation 0.5 of NOIPartic. on Excess over 100000Equity Participation 0.45 of sales gainLand Lease Payment 0Appreciation rate 0.03Lender's Equity Ownership 0Holding Period 5 yearsSelling costs 0 of sale price
Equity $300,000 Loan 700,000 Annual Loan Payment 80,275 Annual Accrual Amount 80,275 Mortgage Balance 551,364 year 5
SUMMARY LOAN INFORMATION:End of Year 1 2 3Payment 80,275 80,275 80,275 Mortgage Balance 674,815 647,540 618,001 Interest 55,090 53,000 50,736 Principal 25,185 27,275 29,539
SUMMARY CASH FLOW INFORMATION:Year 1 2 3
NOI 100,000 103,000 106,090 Less Debt Service 80,275 80,275 80,275 Less Land Lease Payment 0 0 0 Before-tax Cash Flow 19,725 22,725 25,815 Equity Participation 0 1,500 3,045 Before-Tax Cash Flow 19,725 21,225 22,770
NOI 100,000 103,000 106,090 Less: Interest 55,090 53,000 50,736 Depreciation 32,727 32,727 32,727
Spreadsheet limitations: 5 year holding period. Assumes passive losses used in year they are incurred.
Participation 0 1,500 3,045 Less Land Lease Payment 0 0 0 Taxable Income 12,183 15,773 19,582 Tax (Savings) 3,411 4,417 5,483 After-Tax Cash Flow 16,314 16,809 17,287
CASH FLOW FROM SALE:Sale Price 1,159,274 Sales costs 0 Mortgage Balance 551,364 Before-tax Cash Flow 607,910 Participation in Gain 71,673 Before-tax cash flow 536,237
Sale Price 1,159,274 Sales Costs 0 Participation 71,673
Original Cost Basis 1,000,000 Accumulated Depreciation 163,636 Adjusted Basis 836,364
Capital Gain 251,237 Tax from Sale 70,346
After-Tax Cash Flow from Sale 465,891
EQUITY ANALYSIS:Year 0 1 2
BTCF after Participation (300,000) 19,725 21,225 BTIRR on Equity 18.36%
Year 0 1 2ATCF (300,000) 16,314 16,809 ATIRR on Equity 14.07%Effective Tax Rate 23.37%
PROPERTY ANALYSIS:Year 0 1 2
NOI (1,000,000) 100,000 103,000 BTIRR on Property 13.00%
Year 0 1 2ATCF-no loan (1,000,000) 81,164 83,324 ATIRR on Property 9.98%
Lender's Yield:Year 0 1 2
Debt service 80,275 80,275Loan balance
Participation 0 1,500Loan amount -700000Cash flows to lender -700000 80,275 81,775Lender's IRR 10.17%
Calculation of Lender's IRR:
Month Cash flow0 -700000 1 6689.56 2 6689.56 3 6689.56 4 6689.56 5 6689.56 6 6689.56 7 6689.56 8 6689.56 9 6689.56
10 6689.56 11 6689.56 12 6689.56 13 6814.56 14 6814.56 15 6814.56 16 6814.56 17 6814.56 18 6814.56 19 6814.56 20 6814.56 21 6814.56 22 6814.56 23 6814.56 24 6814.56 25 6943.31 26 6943.31 27 6943.31 28 6943.31 29 6943.31 30 6943.31 31 6943.31 32 6943.31 33 6943.31 34 6943.31 35 6943.31 36 6943.31 37 7075.93 38 7075.93 39 7075.93 40 7075.93 41 7075.93 42 7075.93 43 7075.93 44 7075.93
45 7075.93 46 7075.93 47 7075.93 48 7075.93 49 7212.52 50 7212.52 51 7212.52 52 7212.52 53 7212.52 54 7212.52 55 7212.52 56 7212.52 57 7212.52 58 7212.52 59 7212.52 60 630249.67
IRR 10.17%
Chapter 12 Participation LoanLoan Analysis
No passive activity loss limitations (PALL) considered. Set all data cells that do not apply to zero.
Data Input Box:
90000027.5 years0.28
SUMMARY LOAN INFORMATION:4 5
80,275 80,275 586,010 551,364
48,284 45,629 31,991 34,646
SUMMARY CASH FLOW INFORMATION:4 5
109,273 112,551 80,275 80,275
0 0 28,998 32,276
4,636 6,275 24,362 26,001
109,273 112,551 48,284 45,629 32,727 32,727
5 year holding period. Assumes passive losses used in year they are incurred.
4,636 6,275 0 0
23,625 27,919 6,615 7,817
17,747 18,183
EQUITY ANALYSIS:3 4 5
22,770 24,362 562,238
3 4 517,287 17,747 484,074
PROPERTY ANALYSIS:3 4 5
106,090 109,273 1,271,825
3 4 585,548 87,840 1,179,128
Lender's Yield:3 4 5
80,275 80,275 80,275551,364
3,045 4,636 77,949
83,320 84,911 709,587
Chapter 12 Sale Leaseback of Land
No passive activity loss limitations (PALL) considered. Set all data cells that do not apply to zero.
Data Input Box:Asking Price 1000000 Tax Considerations:NOI year 1 100000 Building ValueGrowth-NOI 0.03 DepreciationLoan-to-Value 0.7 Tax rateLoan Interest (Payment) 0.1Loan Interest (Accural) 0.1Loan Amortization Term 15 yearsLoan Due 15 yearsPayments per year 12Equity Participation 0 of NOIPartic. on Excess over 0Equity Participation 0 of sales gainLand Lease Payment 7800Appreciation rate 0.03Lender's Equity Ownership 0Holding Period 5 yearsSelling costs 0 of sale price
Equity $270,000 Loan 630,000 Annual Loan Payment 81,240 Annual Accrual Amount 81,240 Mortgage Balance 512,295 year 5
SUMMARY LOAN INFORMATION:End of Year 1 2 3
Payment 81,240 81,240 81,240 Mortgage Balance 610,900 589,800 566,491 Interest 62,140 60,140 57,931 Principal 19,100 21,100 23,309
SUMMARY CASH FLOW INFORMATION:Year 1 2 3
NOI 100,000 103,000 106,090 Less Debt Service 81,240 81,240 81,240 Less Land Lease Payment 7,800 7,800 7,800 Before-tax Cash Flow 10,960 13,960 17,050 Equity Participation 0 0 0 Before-Tax Cash Flow 10,960 13,960 17,050
NOI 100,000 103,000 106,090 Less: Interest 62,140 60,140 57,931 Depreciation 32,727 32,727 32,727 Participation 0 0 0
Spreadsheet limitations: 5 year holding period. Assumes passive losses used in year they are incurred.
Sale-Leaseback of Land: loan is calculated off of building value.
Less Land Lease Payment 7,800 7,800 7,800 Taxable Income (2,668) 2,332 7,632 Tax (Savings) (747) 653 2,137 After-Tax Cash Flow 11,707 13,307 14,913
CASH FLOW FROM SALE:Sale Price 1,043,347 Sales costs 0 Mortgage Balance 512,295 Before-tax Cash Flow 531,052 Participation in Gain 0 Before-tax cash flow 531,052
Sale Price 1,043,347 Sales Costs 0 Participation 0
Original Cost Basis 900,000 Accumulated Depreciation 163,636 Adjusted Basis 736,364
Capital Gain 306,983 Tax from Sale 85,955
After-Tax Cash Flow from Sale 445,097
EQUITY ANALYSIS:Year 0 1 2
BTCF after Participation (270,000) 10,960 13,960 BTIRR on Equity 19.16%
Year 0 1 2ATCF (270,000) 11,707 13,307 ATIRR on Equity 14.98%Effective Tax Rate 21.80%
PROPERTY ANALYSIS:Year 0 1 2
NOI (1,000,000) 100,000 103,000 BTIRR on Property 11.24%
Year 0 1 2ATCF-no loan (1,000,000) 81,164 83,324 ATIRR on Property 7.80%
Effective Cost of Sale-Leaseback of LandYear 0 1 2
Land cash flows -100,000 7,800 7,800
Effective Cost 10.25%
Calculation of Land purchaser's IRR:
Month Cash flow0 -100000 1 650.00 2 650.00 3 650.00 4 650.00 5 650.00 6 650.00 7 650.00 8 650.00 9 650.00
10 650.00 11 650.00 12 650.00 13 650.00 14 650.00 15 650.00 16 650.00 17 650.00 18 650.00 19 650.00 20 650.00 21 650.00 22 650.00 23 650.00 24 650.00 25 650.00 26 650.00 27 650.00 28 650.00 29 650.00 30 650.00 31 650.00 32 650.00 33 650.00 34 650.00 35 650.00 36 650.00 37 650.00 38 650.00 39 650.00 40 650.00 41 650.00 42 650.00 43 650.00 44 650.00 45 650.00 46 650.00 47 650.00 48 650.00
49 650.00 50 650.00 51 650.00 52 650.00 53 650.00 54 650.00 55 650.00 56 650.00 57 650.00 58 650.00 59 650.00 60 116577.41
IRR 10.25%
Chapter 12 Sale Leaseback of Land
No passive activity loss limitations (PALL) considered. Set all data cells that do not apply to zero.
Data Input Box:
90000027.5 years0.28
SUMMARY LOAN INFORMATION:4 581,240 81,240
540,741 512,295 55,490 52,794 25,750 28,446
SUMMARY CASH FLOW INFORMATION:4 5
109,273 112,551 81,240 81,240
7,800 7,800 20,233 23,511
0 0 20,233 23,511
109,273 112,551 55,490 52,794 32,727 32,727
0 0
5 year holding period. Assumes passive losses used in year they are incurred.
7,800 7,800 13,255 19,230
3,711 5,384 16,521 18,126
EQUITY ANALYSIS:3 4 517,050 20,233 554,563
3 4 514,913 16,521 463,223
PROPERTY ANALYSIS:3 4 5
106,090 109,273 1,155,898
3 4 585,548 87,840 1,047,592
Effective Cost of Sale-Leaseback of Land3 4 5
7,800 7,800 123,727
Chapter 12 Convertible Loan
No passive activity loss limitations (PALL) considered. Set all data cells that do not apply to zero.
Data Input Box:Asking Price 1000000NOI year 1 100000Growth-NOI 0.03Loan-to-Value 0.7Loan Interest (Payment) 0.085Loan Interest (Accural) 0.085Loan Amortization Term 30 yearsLoan Due 15 yearsPayments per year 12Equity Participation 0 of NOIPartic. on Excess over 0Equity Participation 0 of sales gainLand Lease Payment 0Appreciation rate 0.03Lender's Equity Ownership 0.65Holding Period 5 yearsSelling costs 0 of sale price
Equity $300,000 Loan 700,000 Annual Loan Payment 64,589 Annual Accrual Amount 64,589 Mortgage Balance 668,432 year
SUMMARY LOAN INFORMATION:End of Year 1 2
Payment 64,589 64,589 Mortgage Balance 694,708 688,949 Interest 59,297 58,829 Principal 5,292 5,759
SUMMARY CASH FLOW INFORMATION:Year 1 2
NOI 100,000 103,000 Less Debt Service 64,589 64,589 Less Land Lease Payment 0 0 Before-tax Cash Flow 35,411 38,411 Equity Participation 0 0 Before-Tax Cash Flow 35,411 38,411
NOI 100,000 103,000 Less: Interest 59,297 58,829 Depreciation 32,727 32,727 Participation 0 0 Less Land Lease Payment 0 0
Spreadsheet limitations: 5 year holding period. Assumes passive losses used in year they are incurred.
Taxable Income 7,976 11,443 Tax (Savings) 2,233 3,204 After-Tax Cash Flow 33,178 35,207
CASH FLOW FROM SALE:Sale Price (net of portion transferred to lender)Sales costsMortgage BalanceBefore-tax Cash FlowParticipation in GainBefore-tax cash flow
Sale Price 1,159,274 Sales Costs 0 Participation 0
Original Cost Basis 1,000,000 Accumulated Depreciation 163,636 Adjusted Basis 836,364
Capital Gain 322,910 Tax from Sale
After-Tax Cash Flow from Sale
EQUITY ANALYSIS:Year 0 1
BTCF after Participation (300,000) 35,411 BTIRR on Equity 18.40%
Year 0 1ATCF (300,000) 33,178 ATIRR on Equity 13.06%Effective Tax Rate 29.02%
PROPERTY ANALYSIS:Year 0 1
NOI (1,000,000) 100,000 BTIRR on Property 13.00%
Year 0 1ATCF-no loan (1,000,000) 81,164 ATIRR on Property 9.66%
Lender's Yield:Year 0 1
Debt service 64,589Loan balanceConversionLoan amount -700000
Cash flows to lender -700000 64,589Lender's IRR 10.40%
Calculation of Lender's IRR:
Month Cash flow0 -700000 1 5382.39 2 5382.39 3 5382.39 4 5382.39 5 5382.39 6 5382.39 7 5382.39 8 5382.39 9 5382.39
10 5382.39 11 5382.39 12 5382.39 13 5382.39 14 5382.39 15 5382.39 16 5382.39 17 5382.39 18 5382.39 19 5382.39 20 5382.39 21 5382.39 22 5382.39 23 5382.39 24 5382.39 25 5382.39 26 5382.39 27 5382.39 28 5382.39 29 5382.39 30 5382.39 31 5382.39 32 5382.39 33 5382.39 34 5382.39 35 5382.39 36 5382.39 37 5382.39 38 5382.39 39 5382.39 40 5382.39 41 5382.39 42 5382.39 43 5382.39 44 5382.39 45 5382.39 46 5382.39
47 5382.39 48 5382.39 49 5382.39 50 5382.39 51 5382.39 52 5382.39 53 5382.39 54 5382.39 55 5382.39 56 5382.39 57 5382.39 58 5382.39 59 5382.39 60 758910.54
IRR 10.40%
Chapter 12 Convertible Loan
No passive activity loss limitations (PALL) considered. Set all data cells that do not apply to zero.
Data Input Box:Tax Considerations:Building Value 900000Depreciation 27.5 yearsTax rate 0.28
5
SUMMARY LOAN INFORMATION:3 4 5
64,589 64,589 64,589 682,680 675,858 668,432
58,320 57,766 57,163 6,269 6,823 7,426
SUMMARY CASH FLOW INFORMATION:3 4 5
106,090 109,273 112,551 64,589 64,589 64,589
0 0 0 41,501 44,684 47,962
0 0 0 41,501 44,684 47,962
106,090 109,273 112,551 58,320 57,766 57,163 32,727 32,727 32,727
0 0 0 0 0 0
5 year holding period. Assumes passive losses used in year they are incurred.
15,043 18,779 22,661 4,212 5,258 6,345
37,289 39,426 41,617
CASH FLOW FROM SALE:405,746
0 0
405,746 0
405,746
90,415
315,331
EQUITY ANALYSIS:2 3 4 5
38,411 41,501 44,684 453,708
2 3 4 535,207 37,289 39,426 356,948
PROPERTY ANALYSIS:2 3 4 5
103,000 106,090 109,273 1,271,825
2 3 4 583,324 85,548 87,840 1,159,059
Lender's Yield:2 3 4 5
64,589 64,589 64,589 64,5890
753,528
64,589 64,589 64,589 818,117
Chapter 12Accrual Loan
No passive activity loss limitations (PALL) considered. Set all data cells that do not apply to zero.
Capital Gain Tax Rate assumed same as Ordinary Income Tax Rate
Data Input Box:Asking Price 1000000 Tax Considerations:NOI year 1 100000 Building Value 900000Growth-NOI 0.03 Depreciation 27.5Loan-to-Value 0.7 Tax rate 0.28Loan Interest (Payment) 0.08Loan Interest (Accural) 0.1Loan Amortization Term 30 yearsLoan Due 15 yearsPayments per year 12Appreciation rate 0.03Holding Period 5 yearsSelling costs 0 of sale price
Equity $300,000 Loan 700,000 Annual Loan Payment 61,636 Annual Accrual Amount 73,716 Mortgage Balance 753,972 year 5
SUMMARY LOAN INFORMATION:End of Year 1 2 3 4
Payment 61,636 61,636 61,636 61,636 Mortgage Balance 708,758 718,433 729,121 740,928 Interest 70,394 71,311 72,324 73,444 Principal (8,758) (9,675) (10,688) (11,807)
SUMMARY CASH FLOW INFORMATION:Year 1 2 3 4
NOI 100,000 103,000 106,090 109,273 Less Debt Service 61,636 61,636 61,636 61,636
Before-Tax Cash Flow 38,364 41,364 44,454 47,636
NOI 100,000 103,000 106,090 109,273 Less: Interest 70,394 71,311 72,324 73,444 Depreciation 32,727 32,727 32,727 32,727 Taxable Income (3,121) (1,039) 1,038 3,102 Tax (Savings) (874) (291) 291 869 After-Tax Cash Flow 39,238 41,655 44,163 46,768
Spreadsheet limitations: 5 year holding period. Assumes passive losses used in year they are incurred.
Negative Amortization: requires a number greater than zero for "Loan Interest (Accural)".
CASH FLOW FROM SALE:Sale Price (received by investor) 1,159,274 Sales costs 0 Mortgage Balance 753,972 Before-tax Cash Flow 405,302
Before-tax cash flow 405,302
Sale Price 1,159,274 Sales Costs 0
Original Cost Basis 1,000,000 Accumulated Depreciation 163,636 Adjusted Basis 836,364
Capital Gain 322,910 Tax from Sale 90,415
After-Tax Cash Flow from Sale 314,887
EQUITY ANALYSIS:Year 0 1 2 3
BTCF after Participation (300,000) 38,364 41,364 44,454 BTIRR on Equity 19.27%
Year 0 1 2 3ATCF (300,000) 39,238 41,655 44,163 ATIRR on Equity 15.25%Effective Tax Rate 20.88%
PROPERTY ANALYSIS:Year 0 1 2 3
NOI (1,000,000) 100,000 103,000 106,090 BTIRR on Property 13.00%
Year 0 1 2 3ATCF-no loan (1,000,000) 81,164 83,324 85,548 ATIRR on Property 9.66%
Lender's Yield:Year 0 1 2 3
Debt service 61,636 61,636 61,636Loan balanceLoan amount -700000Cash flows to lender -$700,000 $61,636 $61,636 $61,636Lender's IRR 10.00%
Calculation of Lender's IRR:
Month Cash flow0 -700000 1 5136.35 2 5136.35 3 5136.35 4 5136.35 5 5136.35 6 5136.35 7 5136.35 8 5136.35 9 5136.35
10 5136.35 11 5136.35 12 5136.35 13 5136.35 14 5136.35 15 5136.35 16 5136.35 17 5136.35 18 5136.35 19 5136.35 20 5136.35 21 5136.35 22 5136.35 23 5136.35 24 5136.35 25 5136.35 26 5136.35 27 5136.35 28 5136.35 29 5136.35 30 5136.35 31 5136.35 32 5136.35 33 5136.35 34 5136.35 35 5136.35 36 5136.35 37 5136.35 38 5136.35 39 5136.35 40 5136.35 41 5136.35 42 5136.35 43 5136.35 44 5136.35 45 5136.35 46 5136.35 47 5136.35 48 5136.35 49 5136.35 50 5136.35 51 5136.35
52 5136.35 53 5136.35 54 5136.35 55 5136.35 56 5136.35 57 5136.35 58 5136.35 59 5136.35 60 759108.54
IRR 10.00%
Chapter 12Accrual Loan
No passive activity loss limitations (PALL) considered. Set all data cells that do not apply to zero.
Data Input Box:
years
SUMMARY LOAN INFORMATION:5
61,636 753,972
74,680 (13,044)
SUMMARY CASH FLOW INFORMATION:5
112,551 61,636
50,915
112,551 74,680 32,727
5,144 1,440
49,474
5 year holding period. Assumes passive losses used in year they are incurred.
EQUITY ANALYSIS:4 5
47,636 456,217
4 546,768 364,361
PROPERTY ANALYSIS:4 5
109,273 1,271,825
4 587,840 1,159,059
Lender's Yield:4 5
61,636 61,636753,972
$61,636 $815,608
Chapter 13Partioning the IRR and Calculating Expected Returns and Variance
Partitioning the IRR
Year Cash Flow Present Value1 214,025 $178,890 2 239,960 167,643 3 266,413 155,570 4 284,764 138,989 5 321,796 131,280
Total $772,373
Year Cash Flow Present Value5 4,356,755 1,777,383
$772,373
1,777,383Total Present Value $2,549,756
Ratio of Present Values
30%
70%
Calculating Variance of Returns*Numbers from Exhibit 10-11
Office Building
Scenario Return (or R) Probability (P) (Return x Probability)Pessimistic 6.17% 25% 1.54%Most Likely 19.64% 50% 9.82%Optimistic 28.64% 25% 7.16%
Expected Return 18.52%Variance 0.64%
Standard Deviation 8.02%
Apartment Building
Scenario Return (or R) Probability (P) (Return x Probability)
Spreadsheet Assumptions: Use Exhibit 10-11 which is only in text.
Present Value of Before-tax Cash Flow from Operations (BFTCFo)
Present Value on Before-tax Cash Flow from Sale (BTCFs)
PV of BTCFo
PV of BTCFs
BTCFo to Total Present Value
BTCFs to Total Present Value
Pessimistic 10% 25% 2.50%Most Likely 15% 50% 7.50%Optimistic 20% 25% 5.00%
Expected Return 15.00%Variance 0.13%
Standard Deviation 3.61%
Hotel
Scenario Return (or R) Probability (P) (Return x Probability)Pessimistic 5.00% 25% 1.25%Most Likely 20% 50% 10.00%Optimistic 35% 25% 8.75%
Expected Return 20.00%Variance 1.15%
Standard Deviation 10.71%
SUMMARYProperty Expected Return Risk
Office 18.52% 8.02%Apartment 15.00% 3.61%
Hotel 20.00% 10.71%
Chapter 13Partioning the IRR and Calculating Expected Returns and Variance
Calculating Variance of Returns
Office Building
R - Expected R-12.35% 0.3815%1.12% 0.0062%
10.12% 0.2559%
18.52%0.64%8.02%
Apartment Building
R - Expected R
P x (R-Expected R)2
P x (R-Expected R)2
-5.00% 0.0625%-3.52% 0.0620%1.48% 0.0055%
15.00%0.13%3.61%
Hotel
R - Expected R-13.52% 0.4571%1.48% 0.0109%
16.48% 0.6788%
20.00%1.15%
10.71%
P x (R-Expected R)2
Chapter 13Risk and Leverage
PessimisticYear 0 1 2 3
Purchase -100,000NOI 9,000 8,730 8,468ResaleTotal Cash Flo -100,000 9,000 8,730 8,468
IRR 4.33%
Most LikelyYear 0 1 2 3
Purchase -100,000NOI 9,000 9,000 9,000ResaleTotal Cash Flo -100,000 9,000 9,000 9,000
IRR 7.27%
OptimisticYear 0 1 2 3
Purchase -100,000NOI 9,000 9,270 9,548ResaleTotal Cash Flo -100,000 9,000 9,270 9,548
IRR 10.21%
No Loan
Scenario Return (or R) Probability (P) (Return x Probability)Pessimistic 4.33% 30% 1.30%Most Likely 7.27% 50% 3.64%Optimistic 10.21% 20% 2.04%
Expected Return 6.98%Variance 0.04%
Standard Deviation 2.06%
Loan to value 70.00%Interest rate 6.00%Loan term 25 years
PessimisticYear 0 1 2 3
Purchase -100,000Loan 70,000NOI 9,000 8,730 8,468Payment -5,476 -5,476 -5,476ResaleLoan balanceTotal Cash Flo -30,000 3,524 3,254 2,992
IRR -0.45%
Most LikelyYear 0 1 2 3
Purchase -100,000Loan 70,000NOI 9,000 9,000 9,000Payment -5,476 -5,476 -5,476ResaleLoan balanceTotal Cash Flo -30,000 3,524 3,524 3,524
IRR 10.22%
OptimisticYear 0 1 2 3
Purchase -100,000Loan 70,000NOI 9,000 9,270 9,548Payment -5,476 -5,476 -5,476ResaleLoan balanceTotal Cash Flo -30,000 3,524 3,794 4,072
IRR 18.59%
Loan
Scenario Return (or R) Probability (P) (Return x Probability)Pessimistic -0.45% 30% -0.13%Most Likely 10.22% 50% 5.11%Optimistic 18.59% 20% 3.72%
Expected Return 8.69%Variance 0.49%
Standard Deviation 6.99%
Chapter 13Risk and Leverage
Pessimistic4 5 6
8,214 7,968 7,72977,286
8,214 85,254
Most Likely4 5 6
9,000 9,000 9,00090,000
9,000 99,000
Optimistic4 5 6
9,835 10,130 10,433104,335
9,835 114,464
No Loan
R - Expected R-2.64% 0.02%0.29% 0.00%3.23% 0.02%
P x (R-Expected R)2
Pessimistic4 5 6
8,214 7,968 7,729-5,476 -5,476
77,286-62,808
2,738 16,970
Most Likely4 5 6
9,000 9,000 9,000-5,476 -5,476
90,000-62,808
3,524 30,716
Optimistic4 5 6
9,835 10,130 10,433-5,476 -5,476
104,335-62,808
4,359 46,181
Loan
R - Expected R-7.43% 0.17%3.24% 0.05%
11.62% 0.27%
P x (R-Expected R)2
Chapter 13Retail Example
Input AssumptionsBuilding Name Westgate Shopping Center
Purchase price $ 8,500,000.00 State USA Building Size (SF) $ 100,000.00
Analysis Begin Date 7/1/2000Holding Period 5Discount Rate 11.00%Terminal Rate 10.50%Selling Cost 3.00%
Tenant 1 Tenant 2Name Drug Store FoodStore4Tenant Size 25,000 60,000 Rent SF $12.00 $8.50 Lease Term (Yrs) 5 14 Market Rent $12.00 $9.00 Market Rent Increase 3.00% 3.00%Sales Volume/SFSales Annual ChangeBreakpoint/SFOverage %
MLA Lease Term 10 5 MLA Tenant Improvement $0.00 $0.00MLA Lease Commissions 0.00% 0.00%MLA TI Annual Change 0.00% 0.00%RecoveriesLease OnlyProperty Tax Net $0.00 NetInsurance Net $0.00 NetMaintenance Net $0.00 Net
Market Vacancy Rate 5.00%
% of EGI $ Amount $ per SFManagement Fee 6.00% $0 $0.00Property Tax 0.00% $40,000 $0.00Insurance 0.00% $0 $0.18Maintenance 0.00% $0 $0.75
Restaurant Sales Volume
$250.00 $257.50 $0.00
OutputsYear 1 2 3
Rental Income:Drug Store Rent $300,000 $300,000 $300,000 Drug Store Renewal Rent $0 $0 $0Drug Store Recoveries $33,250 $34,198 $35,172Food Store Rent $510,000 $510,000 $510,000 Food Store Renewal Rent $0 $0 $0Food Store Recoveries $79,800 $82,074 $84,413Restaurant Rent $75,000 $75,000 $0 Restaurant Renewal Rent $0 $0 $84,872Restaurant Recoveries $6,650 $6,840 $0Restaurant Overage Rent $6,250 $8,125 $0Vacant Space 1 Rent $80,000 $80,000 $80,000 Vacant Space 1 Renewal Rent $0 $0 $0Vacant Space 1 Recoveries $6,650 $6,840 $7,034Vacant Space 2 Rent $80,000 $80,000 $80,000 Vacant Space 2 Renewal Rent $0 $0 $0Vacant Space 2 Recoveries $0 $6,840 $7,034Total Income $1,177,600 $1,189,915 $1,188,526
Vacant Space Vacancy $80,000 $0 $0 General Vacancy $58,880 $59,496 $59,426 Effective Gross Income $1,038,720 $1,130,419 $1,129,100
Management Fee $62,323 $67,825 $67,746 Property Tax $40,000 $41,000 $42,025 Insurance $18,000 $18,540 $19,096 CAM $75,000 $77,250 $79,568 Total Expenses $195,323 $204,615 $208,435 NOI $843,397 $925,804 $920,665
Vacant Space TIs $50,000 $50,000 $0In-Line Space TIs $0 $0 $26,523Total TIs $50,000 $50,000 $26,523
Vacant Space Leasing Commis $12,000 $12,000 $0In-Line Space Leasing Commis $0 $0 $10,185Total Leasing Commissions $12,000 $12,000 $10,185
Cash Flow from Operations $781,397 $863,804 $883,958
Cash flow from ResaleResale $8,984,768 Selling Cost $269,543 Net Resale $8,715,225
Total Cash FlowYear 0 1 2
Cash flow ($8,500,000) $781,397 $863,804 IRR 10.48%
Partitioning the IRR:Using IRR as a discount rate:PV of Cash flow from Operatio $3,204,921 37.70%PV of Cash Flow from Resale 5,295,079 62.30%Total PV $8,500,000 100.00%
Chapter 13Retail Example
Input Assumptions
Tenant 3 Vacant SpaceRestaurant # Leases 2 Total Space 5,000 Space per Lease 5,000 10,000
$15.00 Rent SF $16.00 2 Lease Term (Yrs) 3
$16.00 Market Rent $16.003.00% Market Rent Incre 3.00%
$250.00 Period 2nd Lease 13.00%
$225.005.00%
3 $5.00 $10.00
4.00% 5.00%3.00% 3.00%
$0.00 Net $0.00 Net $0.00$0.00 Net $0.00 Net $0.00$0.00 Net $0.00 Net $0.00
Change %0.00%2.50%3.00%3.00%
$0.00 $0.00 $0.00
Outputs4 5 6
$300,000 $300,000 $0 $0 $0 $347,782
$36,175 $37,206 $0$510,000 $510,000 $510,000
$0 $0 $0$86,820 $89,295 $91,841
$0 $0 $0 $87,418 $90,041 $92,742
$0 $0 $0$0 $0 $0
$0 $0 $0 $87,418 $90,041 $92,742
$0 $0 $0$80,000 $0 $0
$0 $90,041 $92,742$7,235 $0 $0
$1,195,066 $1,206,623 $1,227,849
$0 $0 $0 $59,753 $60,331 $61,392
$1,135,312 $1,146,292 $1,166,457
$68,119 $68,778 $69,987 $43,076 $44,153 $45,256 $19,669 $20,259 $20,867 $81,955 $84,413 $86,946
$212,818 $217,602 $223,056 $922,494 $928,690 $943,401
$0 $0$27,318 $28,138$27,318 $28,138
$0 $0$10,490 $10,805$10,490 $10,805
$884,686 $889,747
Total Cash Flow3 4 5
$883,958 $884,686 $9,604,972
Chapter 13Industrial Example
InputsBuilding Name Worthington Distribution CenterAddressCity Anywhere State USABuilding Size (SF) 140,000
Analysis Begin Date 6/1/2000Holding Period 5Discount Rate 10.50%Terminal Cap Rate 9.75%Selling Cost 3.00%
Tenant 1Name Electric SupplyTenant Size 50,000Rent SF $6.00 Lease Term (Yrs) 3 At Expiration Renew
Market Leasing AssumptionRent Annual Change 3.00% Tenant Improvement Annual Change
Lease Term Renewal Prob.New 5 70.0%RenewalWeighted
Market RentMarket Rent 1 - Electric Supply $7.10 $355,136Market Rent 1 - Sign Co. $7.43 $315,618Market Rent 1 - Computer Dist $7.48 $355,520
% of EGI $ AmountManagement Fee 5.00% $0Property Tax 0.00% $23,000Insurance 0.00% $0Maintenance 0.00% $0Roof Repair (year 1) $45,000
OutputsYear 1 2
Income:Electric Supply Rent $300,000 $300,000 Electric Supply Market Rent $0 $0Sign Company Rent $276,250 $276,250 Sign Company Market Rent $0 $0Computer Dist. Rent $273,125 $273,125 Computer Dist. Market Rent $0 $0Total Income $849,375 $849,375 Turnover Vacancy $0 $0Effective Gross Income $849,375 $849,375
Expenses:Management Fee $42,469 $42,469 Property Tax $23,000 $23,575 Insurance $21,000 $21,840 CAM $28,000 $28,840 Total $114,469 $116,724
Cash Flow:NOI $734,906 $732,651 Tenant Improvements $0 $0Leasing Commissions $0 $0Total TI and LC $0 $0Capital Costs $45,000 0Cash Flow $689,906 $732,651
PV Factors 0.90498 0.81898 Present Value of Cash Flow $624,350 $600,030
Resale Calculations:Resale $9,137,730 Selling Cost $274,132 Net Resale $8,863,598
PV Factor 0.60700
PVResale $5,380,203
Chapter 13Industrial Example
Inputs
Tenant 2 Tenant 3Sign Company Computer Dist.
42,500 47,500 $6.50 $5.75
2 4 Vacate Market
Tenant Improvement Annual Change 3.00%
Months Vacant Market RentLeasing Tenant
Commissions Improvements10 $7.00 3.00% $5.00
0 $6.50 1.00% $2.003 $6.65 1.60% $2.90
Start Date Market Turnover Vacate Turnover TI LC 4.00 4.00 $88,784 $295,947 $109,273 $17,757 3.00 3.83 $78,904 $263,015 $225,441 $47,343 5.00 5.25 $88,880 $296,267 $155,039 $28,442
$ per SF Change %$0.00 0.00%$0.00 2.50%$0.15 4.00%$0.20 3.00%
Outputs3 4 5 6
Income:$300,000 $0 $0 $0
$0 $355,136 $355,136 $355,136$0 $0 $0 $0
$315,618 $315,618 $315,618 $315,618$273,125 $273,125 $0 $0
$0 $0 $355,520 $355,520$888,743 $943,879 $1,026,274 $1,026,274 $263,015 $0 $88,880 $0
$625,728 $943,879 $937,394 $1,026,274
Expenses:$31,286 $47,194 $46,870 $51,314 $24,164 $24,768 $25,388 $26,022 $22,714 $23,622 $24,567 $25,550 $29,705 $30,596 $31,514 $32,460
$107,870 $126,181 $128,339 $135,345
Cash Flow:$517,858 $817,698 $809,055 $890,929 $225,441 $109,273 $155,039
$47,343 $17,757 $28,442$272,784 $127,030 $183,480
0 0 0$245,074 $690,669 $625,575
0.74116 0.67073 0.60700 $181,640 $463,256 $379,724
Value:PV Resale $5,380,203 PV Cash flows $2,248,999 Value $7,629,201
19.77%Implied Change in
Value
Chapter 14 Exhibit 5Return if Property Held additional 5 years
RETURN FOR PAST 5 YEARS
Data Input Box:Purchase Price / Property Value 200000 Tax Considerations:Land Value 40000 Depreciable Life (in years) 19Building Value 160000 Capital Gains Rate 0.28Operating Expenses (% of NOI) 0.5 Marginal Tax Rate 0.28NOI Growth 0.04Property Growth 0.03Loan-to-Value 0.75Loan Amount / Current Balance 150000Interest Rate 0.11Loan Term Remaining (in years) 25Payments per Year 12Holding Period / Yrs. Since Purch. 5Selling Costs 0.06Resale Value Year 5 250000
Equity 50000Loan 150000Annual Loan Payment 17642.03538Mortgage Balance 142,432 year 5
SUMMARY LOAN INFORMATION:End of Year 1 2 3 4 5
Payment 17,642 17,642 17,642 17,642 17,642 Mortgage Balance 148,799 147,458 145,963 144,294 142,432 Interest 16,441 16,302 16,146 15,973 15,780 Principal 1,201 1,340 1,496 1,669 1,862
CASH FLOW FROM OPERATIONS:Year 1 2 3 4 5
Rents 39,000 40,560 42,182 43,870 45,624 Less Operating Expenses 19500 20280 21091 21935 22812Net Operating Income 19500 20280 21091 21935 22812 Less Debt Service 17642 17642 17642 17642 17642 Before-Tax Cash Flow $ 1,858 $ 2,638 $ 3,449 $ 4,293 $ 5,170
Net Operating Income 19,500 20,280 21,091 21,935 22,812 Less: Interest 16,441 16,302 16,146 15,973 15,780 Depreciation 8,421 8,421 8,421 8,421 8,421 Taxable Income (loss) (5,362) (4,443) (3,476) (2,460) (1,389)Tax (1,501) (1,244) (973) (689) (389)
Spreadsheet Limitations: Ten year holding period.
Before-Tax Cash Flow 1,858 2,638 3,449 4,293 5,170 Less Tax (1,501) (1,244) (973) (689) (389)After-Tax Cash Flow $ 3,359 $ 3,882 $ 4,423 $ 4,982 $ 5,559
CASH FLOW FROM SALE:Sale Price (received by investor) 250,000 Sales costs 15,000 Mortgage Balance 142,432 Before-tax Cash Flow 92,568
Sale Price 250,000 Sales Costs 15,000
Original Cost Basis 200,000 Accumulated Depreciation 42,105 Adjusted Basis 157,895
Capital Gain 77,105 Tax from Sale 21,589 After-Tax Cash Flow from Sale 70,978
CASH FLOW SUMMARY:End of Year 0 1 2 3 4
Before-Tax Cash Flow (50,000) 1,858 2,638 3,449 4,293 After-Tax Cash Flow (50,000) 3,359 3,882 4,423 4,982
Before-Tax IRR 18.26%After-Tax IRR 14.83%
Chapter 14 Exhibit 5Return if Property Held additional 5 years
RETURN FOR NEXT 5 YEARS
Data Input Box for Yrs 6-10:Current Value 250000 Tax Considerations:Original Cost Basis 200000 Marginal Tax RateBuilding Value (original) 160000 Capital Gains RateLand Value (original) 40000 Depreciable Life (in yrs)NOI Growth 0.03Operating Expenses (% of NOI) 0.5Property Growth 0.03Resale Value 289819Selling Costs 0.06Loan Amount / Current Balance 142432Interest Rate 0.11Loan Term Remaining (in years) 20Payments per Year 12Total Holding Period (in yrs) 10NO RENOVATION:Equity 57568Loan 142432Annual Pmt 17641.998852Mortg Bal 106,727 in year 10
6 7 8 9 1017,642 17,642 17,642 17,642 17,642
140,355 138,038 135,452 132,567 129,348 15,565 15,325 15,056 14,757 14,423
2,077 2,317 2,586 2,885 3,219
6 7 8 9 1047,449 48,873 50,339 51,849 53,405
23725 24436 25170 25925 2670223725 24436 25170 25925 26702 17642 17642 17642 17642 17642
$ 6,083 $ 6,794 $ 7,528 $ 8,283 $ 9,060
23,725 24,436 25,170 25,925 26,702 15,565 15,325 15,056 14,757 14,423
8,421 8,421 8,421 8,421 8,421 (261) 691 1,692 2,746 3,858
(73) 193 474 769 1,080
6,083 6,794 7,528 8,283 9,060 (73) 193 474 769 1,080
$ 6,156 $ 6,601 $ 7,054 $ 7,514 $ 7,980
Sale Price (received by investor) 289,819 Sales costs 17,389 Mortgage Balance 129,348 Before-tax Cash Flow 143,081
Sale Price 289,819 Sales Costs 17,389
Org. Cost Basis 200,000 Accum Dep 84,211 Adj Basis 115,789
Capital Gain 156,640 Tax from Sale 43,859 After-Tax Cash Flow from Sale 99,222
CASH FLOW SUMMARY:5 5 6 7 8 9
97,738 (70,978) 6,083 6,794 7,528 8,283 76,537 (70,978) 6,156 6,601 7,054 7,514
Before-Tax IRR 23.06%After-Tax IRR 15.60%
Chapter 14 Exhibit 5Return if Property Held additional 5 years
RETURN FOR NEXT 5 YEARS
Data Input Box for Yrs 6-10:If Renovated:
0.28 NOI Yr 1 After Renovation 450000.28 NOI Growth 0.04
19 Terminal Cap Rate 0.1Renovation Costs 200000Loan Amount on Renovations 200000Total New Loan Amount 337500Interest Rate 0.11Loan Term (in years) 15Payments per Year 12Dep. Life of Renovation 31.5Holding Period 5Years Since Purchase 5
IF RENOVATED:Additional Equity 4932Loan 337500Annual Pmt 46032.18Mortg Bal 278,477 in year 5
Yr of Ren. 1 2 3 4 56 7 8 9 10
46,032 46,032 46,032 46,032 46,032 328,130 317,675 306,011 292,997 278,477
36,662 35,578 34,368 33,018 31,512 9,370 10,455 11,664 13,014 14,520
6 7 8 9 10 11- - - - -- - - - -
45000 46800 48672 50619 52644 54749 46032 46032 46032 46032 46032
$ (1,032) $ 768 $ 2,640 $ 4,587 $ 6,611
45,000 46,800 48,672 50,619 52,644 36,662 35,578 34,368 33,018 31,512 14,770 14,770 14,770 14,770 14,770 (6,432) (3,548) (466) 2,831 6,361 (1,801) (993) (131) 793 1,781
(1,032) 768 2,640 4,587 6,611 (1,801) (993) (131) 793 1,781
$ 769 $ 1,761 $ 2,770 $ 3,794 $ 4,830
Sale Price (received by investor) 547,494 Sales costs 32,850 Mortgage Balance 278,477 Before-tax Cash Flow 236,168
Sale Price 547,494 Sales Costs 32,850
Org. Cost Basis 400,000 Accum Dep 115,957 Adj Basis 284,043
Capital Gain 230,601 Tax from Sale 64,568 After-Tax Cash Flow from Sale 171,599
CASH FLOW SUMMARY:10 5 6 7 8152,142 ATCF assuming renovation - 769 1,761 2,770 107,202 ATCF assuming no renovation - 6,156 6,601 7,054
Incremental Cash Flow (4,932) (5,387) (4,840) (4,283)
IRR on Incremental Flows 37.47%
Chapter 14 Exhibit 5Return if Property Held additional 5 years
CASH FLOW SUMMARY:9 103,794 176,430 7,514 107,202
(3,719) 69,227
Chapter 14Marginal rate of return (MRR)
Data Input BoxCurrent property value 250000 Current NOI 47449 Original Building Value 160000Original Land Value 40000Years since purchased 5Current Depreciable life 19
Financing informationCurrent loan balance 142432 Interest rate 11.00%Remaining term 20 YEARS
Tax rate 28.00%
Growth rates for next 5 years:NOI 3.00%Property Value 3.00%
Loan constant 12.39%Payment $17,642
Equity $107,568
End of year 1 2 3 4 5Mortgate balance 140355 138037 135452 132567 129348
Calulation of After Tax Cash Flow from Sale if Sold Today
Sale PriceSale Costs 6.00%Mortgage balanceBefore tax cash flow
Sale price 250000Sale costs 15000
Spreadsheet Limitations: Ten year holding period.
Original cost basis 200000 Accumulated depreciation 42105 Adjusted basis 157895
Capital gain 77105
Capital gains tax rate 28.00%
After tax cash flow from reversion
Calculation of After Tax Cash Flow from Operations if NOT soldYEAR 1 2 3 4 5
Rent $47,449 $48,873 $50,339 $51,849 $53,405Expenses 23,725 24,436 25,170 25,925 26,702Net operating income 23,725 24,436 25,170 25,925 26,702Debt service 17,642 17,642 17,642 17,642 17,642Before tax C.F. 6,083 6,794 7,528 8,283 9,060
Net Operating Income 23,725 24,436 25,170 25,925 26,702Interest 15,565 15,325 15,056 14,757 14,423Depreciaiton 8,421 8,421 8,421 8,421 8,421Taxable income -261 691 1,692 2,746 3,858Tax -73 193 474 769 1,080
Before tax C.F. 6,083 6,794 7,528 8,283 9,060Tax -73 193 474 769 1,080After tax cash flow 6,156 6,601 7,054 7,514 7,980
Calculation of After Tax Cash Flow from Sale
Sale price $257,500 $265,225 $273,182 $281,377 $289,819Morggage balance 140,355 138,037 135,452 132,567 129,348Selling expenses 15,450 15,914 16,391 16,883 17,389B.T.C.F. 101,695 111,274 121,339 131,928 143,081
Sale price 257,500 265,225 273,182 281,377 289,819Selling expenses 15,450 15,914 16,391 16,883 17,389Orig. Cost basis 200,000 200,000 200,000 200,000 200,000Accum Deprec. 50,526 58,947 67,368 75,789 84,211Adjusted basis 149,474 141,053 132,632 124,211 115,789
Total taxable gain 92,576 108,259 124,159 140,284 156,640
Capital gains tax 25,921 30,312 34,765 39,280 43,859
ATCF - Rev. 75,774 80,962 86,575 92,648 99,222
Cash Flow SummaryYear
Holding Period 0 1 2 3 41 -70,979 81,9302 -70,979 6,156 87,5633 -70,979 6,156 6,601 93,6284 -70,979 6,156 6,601 7,054 100,1625 -70,979 6,156 6,601 7,054 7,5146 -70,979 6,156 6,601 7,054 7,5147 -70,979 6,156 6,601 7,054 7,5148 -70,979 6,156 6,601 7,054 7,5149 -70,979 6,156 6,601 7,054 7,514
10 -70,979 6,156 6,601 7,054 7,514
Chapter 14Marginal rate of return (MRR)
6 7 8 9 10125757 121750 117280 112292 106727
Calulation of After Tax Cash Flow from Sale if Sold Today
250000 15000
142432 92568
21589
70979
Calculation of After Tax Cash Flow from Operations if NOT sold6 7 8 9 10
$55,007 $56,657 $58,357 $60,108 61911 27,503 28,329 29,178 30,054 30,95527,503 28,329 29,178 30,054 30,95517,642 17,642 17,642 17,642 17,642
9,861 10,687 11,536 12,412 13,313
27,503 28,329 29,178 30,054 30,95514,051 13,635 13,172 12,654 12,077
8,421 8,421 8,421 8,421 8,4215,032 6,272 7,586 8,978 10,4571,409 1,756 2,124 2,514 2,928
9,861 10,687 11,536 12,412 13,3131,409 1,756 2,124 2,514 2,9288,453 8,930 9,412 9,898 10,385
Calculation of After Tax Cash Flow from Sale
$298,513 $307,468 $316,693 $326,193 $335,979125,757 121,750 117,280 112,292 106,727
17,911 18,448 19,002 19,572 20,159154,845 167,270 180,411 194,330 209,093
298,513 307,468 316,693 326,193 335,97917,911 18,448 19,002 19,572 20,159
200,000 200,000 200,000 200,000 200,00092,632 101,053 109,474 117,895 126,316
107,368 98,947 90,526 82,105 73,684
173,234 190,073 207,165 224,516 242,136
48,505 53,220 58,006 62,865 67,798
106,340 114,050 122,405 131,465 141,295
Cash Flow Summary
5 6 7 8 9 10 IRR MRR15.43% 15.43%15.49% 15.56%15.54% 15.65%15.57% 15.69%
107,202 15.60% 15.71%7,980 114,793 15.61% 15.69%7,980 8,453 122,980 15.61% 15.65%7,980 8,453 8,930 131,818 15.61% 15.58%7,980 8,453 8,930 9,412 141,363 15.60% 15.49%7,980 8,453 8,930 9,412 9,898 151,680 15.58% 15.38%
Chapter 14Renovation versus no renovation
RETURN FOR PAST 5 YEARS
Data Input Box:Purchase Price / Property Value 200000 Tax Considerations:Land Value 40000 Depreciable Life (in years)Building Value 160000 Capital Gains RateOperating Expenses (% of NOI) 0.5 Marginal Tax Rate NOI Growth 0.04Property Growth 0.03Loan-to-Value 0.75Loan Amount / Current Balance 150000Interest Rate 0.11Loan Term Remaining (in years) 25Payments per Year 12Holding Period / Yrs. Since Purch. 5Selling Costs 0.06Resale Value Year 5 250,000
Equity 50,000 Loan 150,000 Annual Loan Payment 17,642 Mortgage Balance 142,432 year 5
SUMMARY LOAN INFORMATION:End of Year 1 2 3 4
Payment 17,642 17,642 17,642 17,642 Mortgage Balance 148,799 147,458 145,963 144,294 Interest 16,441 16,302 16,146 15,973 Principal 1,201 1,340 1,496 1,669
CASH FLOW FROM OPERATIONS:Year 1 2 3 4
Rents 39,000 40,560 42,182 43,870 Less Operating Expenses 19500 20280 21091 21935Net Operating Income 19500 20280 21091 21935 Less Debt Service 17642 17642 17642 17642 Before-Tax Cash Flow $ 1,858 $ 2,638 $ 3,449 $ 4,293
Net Operating Income 19,500 20,280 21,091 21,935 Less: Interest 16,441 16,302 16,146 15,973 Depreciation 8,421 8,421 8,421 8,421
Spreadsheet Limitations: Ten year holding period.
Taxable Income (loss) (5,362) (4,443) (3,476) (2,460)Tax (1,501) (1,244) (973) (689)
Before-Tax Cash Flow 1,858 2,638 3,449 4,293 Less Tax (1,501) (1,244) (973) (689)After-Tax Cash Flow $ 3,359 $ 3,882 $ 4,423 $ 4,982
CASH FLOW FROM SALE:Sale Price (received by investor) 250,000 Sales costs 15,000 Mortgage Balance 142,432 Before-tax Cash Flow 92,568
Sale Price 250,000 Sales Costs 15,000
Original Cost Basis 200,000 Accumulated Depreciation 42,105 Adjusted Basis 157,895
Capital Gain 77,105 Tax from Sale 21,589 After-Tax Cash Flow from Sale 70,978
CASH FLOW SUMMARY (Past 5 years)End of Year 0 1 2 3
Before-Tax Cash Flow (50,000) 1,858 2,638 3,449 After-Tax Cash Flow (50,000) 3,359 3,882 4,423
Before-Tax IRR 18.26%After-Tax IRR 14.83%
AFTER TAX NET PRESENT VALUE: Discount rate 13.00%
After-Tax Present Value from Operations 17,988After-Tax Present Value from Reversion 38,524Initial Loan Amount 150,000Total Present Value $ 203,675
After-Tax Present Value from Operations 15,150After-Tax Present Value from Reversion 38,524Original Equity Investment 50,000 After-Tax Net Present Value $ 3,675
Chapter 14Renovation versus no renovation
RETURN FOR PAST 5 YEARS RETURN FOR NEXT 5 YEARS
Data Input Box: Data Input Box for Yrs 6-10:Current Value 250000
19 Original Cost Basis 2000000.28 Building Value (original) 1600000.28 Land Value (original) 40000
NOI Growth 0.03Operating Expenses (% of NOI) 0.5Property Growth 0.03Resale Value 289819Selling Costs 0.06Loan Amount / Current Balance 142432Interest Rate 0.11Loan Term Remaining (in years) 20Payments per Year 12Total Holding Period (in yrs) 10NO RENOVATION:Equity 57,568 Loan 142,432 Annual Pmt 17,642 Mortg Bal 106,727 in year
SUMMARY LOAN INFORMATION:5 6 7 8
17,642 17,642 17,642 17,642 142,432 140,355 138,038 135,452
15,780 15,565 15,325 15,056 1,862 2,077 2,317 2,586
CASH FLOW FROM OPERATIONS:5 6 7 8
45,624 47,449 48,873 50,339 22812 23725 24436 25170
22812 23725 24436 25170 17642 17642 17642 17642
$ 5,170 $ 6,083 $ 6,794 $ 7,528
22,812 23,725 24,436 25,170 15,780 15,565 15,325 15,056
8,421 8,421 8,421 8,421
(1,389) (261) 691 1,692 (389) (73) 193 474
5,170 6,083 6,794 7,528 (389) (73) 193 474
$ 5,559 $ 6,156 $ 6,601 $ 7,054
CASH FLOW FROM SALE:Sale Price (received by investor)Sales costsMortgage BalanceBefore-tax Cash Flow
Sale Price 289,819 Sales Costs 17,389
Org. Cost Basis 200,000 Accum Dep 84,211 Adj Basis 115,789
Capital Gain 156,640 Tax from SaleAfter-Tax Cash Flow from Sale
CASH FLOW SUMMARY (Past 5 years) CASH FLOW SUMMARY ( Next 5 years)4 5 5 6 74,293 97,738 (70,978) 6,083 6,794 4,982 76,537 (70,978) 6,156 6,601
Before-Tax IRR 23.06%After-Tax IRR 15.60%
Chapter 14Renovation versus no renovation
RETURN FOR NEXT 5 YEARS
Data Input Box for Yrs 6-10:Tax Considerations: Data Input If Renovated:Marginal Tax Rate 0.28 NOI Yr 1 After Renovation 45000Capital Gains Rate 0.28 NOI Growth 0.04Depreciable Life (in yrs) 19 Terminal Cap Rate 0.1
Renovation Costs 200000Loan Amount on Renovations 200000Total New Loan Amount 337500Interest Rate 0.11Loan Term (in years) 15Payments per Year 12Dep. Life of Renovation 31.5Holding Period 5Years Since Purchase 5
IF RENOVATED:Additional Equity 4,932 Loan 337,500 Annual Pmt 46,032
10 Mortg Bal 278,477 in year
Yr of Ren. 1 2 3 49 10 6 7 8 9
17,642 17,642 46,032 46,032 46,032 46,032 132,567 129,348 328,130 317,675 306,011 292,997
14,757 14,423 36,662 35,578 34,368 33,018 2,885 3,219 9,370 10,455 11,664 13,014
9 10 6 7 8 951,849 53,405 - - - -
25925 26702 - - - -25925 26702 45000 46800 48672 50619 17642 17642 46032 46032 46032 46032
$ 8,283 $ 9,060 $ (1,032) $ 768 $ 2,640 $ 4,587
25,925 26,702 45,000 46,800 48,672 50,619 14,757 14,423 36,662 35,578 34,368 33,018
8,421 8,421 14,770 14,770 14,770 14,770
2,746 3,858 (6,432) (3,548) (466) 2,831 769 1,080 (1,801) (993) (131) 793
8,283 9,060 (1,032) 768 2,640 4,587 769 1,080 (1,801) (993) (131) 793
$ 7,514 $ 7,980 $ 769 $ 1,761 $ 2,770 $ 3,794
289,819 Sale Price (received by investor) 547,494 17,389 Sales costs 32,850
129,348 Mortgage Balance 278,477 143,081 Before-tax Cash Flow 236,168
Sale Price 547,494 Sales Costs 32,850
Org. Cost 400,000 Accum Dep 115,957 Adj Basis 284,043
Capital Gain 230,601 43,859 Tax from Sale 64,568 99,222 After-Tax Cash Flow from Sale 171,599
CASH FLOW SUMMARY ( Next 5 years)8 9 10 5 6
7,528 8,283 152,142 ATCF assuming renovation - 769 7,054 7,514 107,202 ATCF assuming no renovation - 6,156
Incremental Cash Flow (4,932) (5,387)
IRR on Incremental Flows 37.47%
Chapter 14Renovation versus no renovation
Data Input If Renovated:
5
510
46,032 278,477
31,512 14,520
10 11--
52644 54749 46032
$ 6,611
52,644 31,512 14,770
6,361 1,781
6,611 1,781
$ 4,830
7 8 9 101,761 2,770 3,794 176,430 6,601 7,054 7,514 107,202
(4,840) (4,283) (3,719) 69,227
Chapter 15 Lease versus Own and Sale-Leaseback Analysis
Opening costs are accured at time of purchase.
Data Input Box:Sales Revenue $1,500,000 Ownership Data:Cost of Goods Sold 50.00% of sales Property Value Today $2,000,000 Additional Overhead 200,000 Time Since Purchase 5Up-Front/Opening Costs 2,500,000 Purchase Price 1,800,000
Building Value 1,575,000 Lease Data: Land Value 225,000 Annual Payment 200,000 Resale Value year 15 3,000,000 Lease Term 15 years Loan-to-Value 76.06%Operating Expenses 50.00% of payment Loan Amount 1,369,000
Interest rate 10.00%Tax Considerations: Loan Term 10Corporate tax rate 30.00% Equity Investment 430999.56Depreciable Life (in yrs) 32 *No value after 15 years.
OPERATING CASH FLOW:Difference
Own Lease Own - LeaseSales $1,500,000 $1,500,000 0 Less: Cost of Goods Sold 750,000 750,000 0 Gross Income 750,000 750,000 0 Less: Overhead 200,000 200,000 0
550,000 550,000 0 Operating Expenses 100,000 100,000 0 Lease Payments 0 200,000 (200,000)Mortgage Interest Payment 136,900 0 136,900 Tax Depreciation 50,000 0 50,000 Taxable Income 263,100 250,000 13,100 Less: Tax 78,930 75,000 3,930 Income After-Tax 184,170 175,000 9,170
Plus: Depreciation 50,000 0 50,000 Less: Mortage Balance 0 0 0 After-Tax Cash Flow $234,170 $175,000 $59,170
CASH FLOW FROM SALE IF OWNED & SOLD AT END OF LEASE TERM:Resale 3,000,000
Spreadsheet Limitations: 15 years holding period. Assumes a interest-only loan. Make sure cells that do not apply are set to zero.
Net Income (before real estate)
Same for own and lease, so no difference.
Less: Mortgage Balance 1,369,000 Before-Tax Cash Flow 1,631,000 Resale 3,000,000 Less: Adjusted Basis 800,000 Capital Gain 2,200,000 Less: Tax 660,000
After-Tax Cash Flow $971,000
SUMMARY OF AFTER-TAX CASH FLOW DIFFERENCES OF OWN vs. LEASE:Outlay Cash Flow Reversion
Year 0 1 to 14 15Initial Investment (496,000)Operations 59,170 Sale 971,000 Total ($496,000) $59,170 $971,000
IRR on ATCF differences 14.10%
SUMMARY AFTER-TAX CASH FLOWS OF OPTIONS:Year 0 1 2 3
Own 0 234,170 234,170 234,170 Lease / Sale-Leaseback 496,000 175,000 175,000 175,000 Differnce of Own vs. Lease (496,000) 59,170 59,170 59,170 IRR on Own vs. Lease 14.10%
Additional cash flow from owning
This is the return from owning;
Chapter 15 Lease versus Own and Sale-Leaseback Analysis
Opening costs are accured at time of purchase.
Data Input Box:
years
years
Additional Cash Flow
CASH FLOW IF SOLD TODAY:Resale 2,000,000
15 years holding period. Assumes a interest-only loan. Make sure cells that do not apply are set to zero.
Same for own and lease, so no difference.
Less: Mortgage Balance 1,369,000 Before-Tax Cash Flow 631,000 Resale 2,000,000 Less: Adjusted Basis 1,550,000 Capital Gain 450,000 Less: Tax 135,000
After-Tax Cash Flow $496,000
SUMMARY AFTER-TAX CASH FLOWS OF OPTIONS:4 5 6 7 8 9 10 11
234,170 234,170 234,170 234,170 234,170 234,170 234,170 234,170 175,000 175,000 175,000 175,000 175,000 175,000 175,000 175,000
59,170 59,170 59,170 59,170 59,170 59,170 59,170 59,170
Chapter 15 Lease versus Own and Sale-Leaseback Analysis
SUMMARY AFTER-TAX CASH FLOWS OF OPTIONS:12 13 14 15
234,170 234,170 234,170 1,205,170 175,000 175,000 175,000 175,000
59,170 59,170 59,170 1,030,170
Chapter 16Financing Proposed Projects with Construction Loan
are data input cells. Set all data input cells that do not apply equal to zero (i.e. if there is constant growth, set the growth for "Yr2-Yr3" to zero.
Data Input Box:Property Appreciation 6.00% per year Holding Pd. (after con)Selling Costs 2.00% of sale price Permanent FinancingGross Building Area 120,000 Loan FeeGross Leasable Area 110,000 Loan Fee AmortSite Acq. & Closing 2,500,000 Loan AmortizationOn/Off Site Costs 850,000 Loan TermHard Costs 7,055,500 Interest RateSoft Costs 1,576,786 Payments per YearLeasing Comissions 45,300 Construction LoanRent 15 per GLA Loan AmountRent Growth 6.00% per year TermOverage Percentage 5.00% on gross sales % drawn first 4 mos.Overage on Excess over 200.00 per GLA % drawn last monthsAverage Sales 200.27 per GLA Interest RateSales Growth Yr 2 - Yr 3 316% Loan FeeSales Growth 4.00% per year Tax ConsiderationsTenant Reinmbursement 8.39 per GLA, yr 2 Marginal Tax RateTenant Reinb. Growth 4.00% per year Capital Gains RateExpenses 9.68 per GLA DepreciationExp. Growth Yr 2 - Yr 3 2.59% Capital ImprovementsExpenses Growth 4.16% per year Capital ImprovementsVacancy Yr 2 30.00% Tenant ImprovementsVacancy beginning Yr 3 5.00% Tenant Improvements
Total Cost BreakdownSite Acq. & Close 2,500,000 Total Project CostsOn/Off-Site Costs 850,000 Loan AmountHard Costs 7,055,500 Equity NeededSoft Costs 1,576,786
Total Project Costs $11,982,286 Perm Loan Fee Amount
CONSTRUCTION LOAN DRAWS & REPAYMENT:
End of Month Project Costs Interest Ending Balance01 $ 1,557,938 0 $ 1,557,938 2 1,557,938 15,579 3,131,454 3 1,557,938 31,315 4,720,706 4 1,557,938 47,207 6,325,851 5 259,656 63,259 6,648,766
Spreadsheet Limitations: Twelve month draw period, where first % draw is only for 4 months. All yellow colored cell
6 259,656 66,488 6,974,910 7 259,656 69,749 7,304,315 8 259,656 73,043 7,637,014 9 259,656 76,370 7,973,041
10 259,656 79,730 8,312,427 11 259,656 83,124 8,655,208 12 259,656 86,552 9,001,416
Total $ 8,309,000 $ 692,416
Yield to Lender
SUMMARY OF PERMANENT LOANYear of Loan 2 3 4
Payment 1,104,844 1,104,844 1,104,844 Mortgage Balance 8,682,752 8,616,260 8,541,335 Interest 1,045,836 1,038,352 1,029,919 Principal 59,008 66,492 74,925
SUMMARY OF DEPRECIABLE COSTSOn/Off Site Improvements 850,000 Hard Costs 7,055,500 Soft Costs 1,094,398 Total Depreciable Costs 8,999,898
BEFORE AND AFTER-TAX CASH FLOWS:Year 0 1 2
Site Acq. and Closing 2,500,000 Site Improvements 850,000 Hard Costs 7,055,500 Soft Costs* 447,282 *(less interest & loan fees)
Permanent Loan Fee 262,253 Construction Loan Fee 174,835 Construction Interest 692,416 Total Constr. Outflow 2,937,088 9,045,198
0 8,741,760 Total Equity Needed $ 2,937,088 $ 303,438
OPERATING PERIOD CASH FLOWSYear 1 2 3
Rent 1,650,000 1,749,000 Overage 29,997 124,788 Tenant Reimbursements 923,000 959,920 PGI 2,602,997 2,833,708
780,899 141,685 EGI 1,822,098 2,692,022 Total Expenses 1,064,800 1,092,402 Net Operating Income 757,298 1,599,620
1,104,844 1,104,844 Before-Tax Cash Flow (303,438) (347,546) 494,776
(Does not include leasing commissions, Permanent loan fees or construction loan fees)
Less: Total Draws
Less: Vacancy
Less: Debt Service
Net Operating Income 757,298 1,599,620 Less: Interest 1,045,836 1,038,352 Depreciation Capital Imprvmnt 257,140 257,140 Tenant Imprvmnt 257,140 183,671 Amortization: Constr Loan Fee 174,835 Perm Loan Fee 26,225 26,225 Leasing comm. 0 0 0 Taxable Income (174,835) (829,043) 94,231 Taxes (48,954) (232,132) 26,385
After-Tax Cash Flow (254,484) (115,414) 468,391
AFTER-TAX CASH FLOW FROM SALESale Price (received by investor) 16,035,002 Sales costs 320,700 Mortgage Balance 8,361,773 Before-tax Cash Flow 7,352,528
Original Cost Basis 11,982,286 Accum Dep & Amort 2,324,312 Adjusted Basis 9,657,974
Capital Gain 6,056,328 Tax from Sale 1,695,772 After-Tax Cash Flow from Sale 5,656,756
BEFORE and AFTER-TAX CASH FLOW SUMMARYYear 0 1 2
Before-Tax Cash Flow (2,937,088) (303,438) (347,546)After-Tax Cash Flow (2,937,088) (254,484) (115,414)
BTCF IRR 20.95%ATCF IRR 17.35%
Note: The calculation of taxable income differs slightly from the book for the following reasons:1) Leasing commissions were not amortized in the book as they should be as shown above.2) The amount in the book for depreciation of tenant improvements in year 5 was wrong in the book.
Chapter 16Financing Proposed Projects with Construction Loan
are data input cells. Set all data input cells that do not apply equal to zero (i.e. if there is constant growth, set the growth for "Yr2-Yr3" to zero.
Data Input Box:5 years
3.00% of loan10 years25 years10 years
0.1212
$ 8,309,000 12 months
75.00%25.00%12.00%
2.00%
28.00%28.00%
31.5 years - S/L90.00% of total
7 years - DDB10.00% of total
Total Cost Breakdown $ 11,982,286
8,741,760 3,240,526
$ 262,253
CONSTRUCTION LOAN DRAWS & REPAYMENT:
Payoff $ 174,835
0 (1,557,938)0 (1,557,938)0 (1,557,938)0 (1,557,938)0 (259,656)
Twelve month draw period, where first % draw is only for 4 months. All yellow colored cell
Lender's Cash Flow
0 (259,656)0 (259,656)0 (259,656)0 (259,656)0 (259,656)0 (259,656)
8,741,760 8,741,760
Yield to Lender 15.35%
SUMMARY OF PERMANENT LOAN5 6
1,104,844 1,104,844 8,456,908 8,361,773 1,020,417 1,009,709
84,427 95,135
BEFORE AND AFTER-TAX CASH FLOWS:3 4 5 6
OPERATING PERIOD CASH FLOWS4 5 6
1,853,940 1,965,176 2,083,087 129,779 134,970 140,369 998,317 1,038,250 1,079,780 2,982,036 3,138,396 3,303,236 149,102 156,920 165,162 2,832,934 2,981,476 3,138,074 1,137,847 1,185,183 1,234,487 1,695,087 1,796,294 1,903,587 1,104,844 1,104,844 1,104,844 590,243 691,450 798,743
1,695,087 1,796,294 1,903,587
1,029,919 1,020,417 1,009,709
257,140 257,140 257,140 131,194 93,710 66,936
26,225 26,225 26,225 0 0 0
250,609 398,802 543,576 70,170 111,665 152,201
520,073 579,785 646,541
BEFORE and AFTER-TAX CASH FLOW SUMMARY3 4 5 6
494,776 590,243 691,450 8,151,271 468,391 520,073 579,785 6,303,298
Note: The calculation of taxable income differs slightly from the book for the following reasons:1) Leasing commissions were not amortized in the book as they should be as shown above.2) The amount in the book for depreciation of tenant improvements in year 5 was wrong in the book.
Chapter 17 ExhibitsFinancing Land Development Projects*
Type Price Number TotalCluster 19,000 60 1,140,000 Standard 45,600 87 3,967,200 Creek 47,500 10 475,000
Totals 157 5,582,200
Available Financing42% of land acquisition 1,000,000
100% of improvement costs 2,640,000 12% Interest rate 3,640,000 Total to be financed
3 points 448,109 Interest Carry (calc. below)20% faster than revenue 4,088,109 Total Loan Amount
TARGET REVENUE: $4,651,833
DRAWS AND UNITS: Draws
Month Amount Months Cluster Standard0 1,000,000 01 600,000 1-3 0 02 600,000 4-6 2 23 600,000 7-12 4 34 300,000 13-18 3 65 300,000 19-24 1 56 300,000
Total 3,700,000 10 16
PRESENT VALUES, ACCELERATION, & RESALE PRICE:
Month Draw Cluster Standard Creek0 1,019,200 0 0 01 655,200 0 0 02 655,200 0 0 03 655,200 0 0 04 218,400 2 2 05 218,400 2 2 06 218,400 2 2 07 4 3 18 4 3 19 4 3 1
10 4 3 111 4 3 112 4 3 1
13 3 6 314 3 6 315 3 6 316 3 6 317 3 6 318 3 6 319 1 5 220 1 5 221 1 5 222 1 5 223 1 5 224 1 5 2
Total 3,640,000 54 90 36
Present Value 3,569,554
PV Draws 3,569,554 PV Revenue 5,880,209 PV Rev / PV Draw 60.7046%Acceleration 20.00%Release Price 72.8455%
LOAN SCHEDULE AND LENDER'S IRRPayments
Month Interest Total Principal Interest0 0 1,019,200 1 10,192 665,392 0 10,192 2 16,846 672,046 0 16,846 3 23,566 678,766 0 23,566 4 30,354 248,754 94,116 30,354 5 31,900 250,300 94,116 31,900 6 33,462 251,862 94,116 33,462 7 35,040 35,040 189,617 35,040 8 33,494 33,494 189,617 33,494 9 31,933 31,933 189,617 31,933
10 30,356 30,356 189,617 30,356 11 28,763 28,763 189,617 28,763 12 27,155 27,155 189,617 27,155 13 25,530 25,530 344,632 25,530 14 22,339 22,339 344,632 22,339 15 19,116 19,116 344,632 19,116 16 15,861 15,861 344,632 15,861 17 12,573 12,573 344,632 12,573 18 9,253 9,253 344,632 9,253 19 5,899 5,899 249,131 5,899 20 3,467 3,467 249,131 3,467 21 1,010 1,010 102,005 1,010 22 0 0 0 0 23 0 0 0 0 24 0 0 0 0
448,109 4,088,109 4,088,109 448,109
Lender's Yield 15.69%
DEVELOPER'S CASH FLOW, NPV AND IRR
Quarter 0 1 2 3Inflow:Sales 0 0 387,600 780,900 Loan Draw 1,019,200 1,965,600 655,200 0 Interest Draw 0 50,604 95,717 100,466 Total Inflow 1,019,200 2,016,204 1,138,517 881,366
Outflows:Site Purch. 2,400,000 Closing 100,000 Loan Fee 122,643 Loan Pmt. 0 282,349 568,850 Interest Cost 0 50,604 95,717 100,466 Direct Costs 19,200 1,965,600 655,200 Gen & Admin 26,250 26,250 26,250Prop. TaxSales Exp. 0 19,380 39,045 Total Outflow 2,641,843 2,042,454 1,078,896 734,612
Net Cash ($1,622,643) ($26,250) $59,621 $146,755
Net Present Value 40,056 15% discount rateInternal Rate of Return 16.64%
Chapter 17 ExhibitsFinancing Land Development Projects*
Land and Development Costs:Land 2,400,000 SiteDirect Costs 2,640,000 Site ClosingCommission 5% Site Improvements
Construction InterestConst. Loan Fee
Available Financing Total Direct CostsCluster Standard Creek13,840.64 33,217.53 34,601.60 Operating Expenses:
Total to be financed (calculated below) Selling CommissionsInterest Carry (calc. below) Property TaxesTotal Loan Amount General & Admin.
Total Indirect Costs
Total Project CostsDRAWS AND UNITS: - Loan Amount
Cumulative Total Equity Required
Creek UnitsPercent Financed
0 00 121 603 1322 180
180
PRESENT VALUES, ACCELERATION, & RESALE PRICE:Cumulative Monthly Cumulative MPVIF @ PV
Units Sales Sales 0.12 Draws Monthly Sales0 0 0 1.00000 1019200 00 0 0 .99010 648712.871 00 0 0 .98030 642289.972 00 0 0 .97059 635930.665 04 129,200 129,200 .96098 209878.107 1241598 129,200 258,400 .95147 207800.106 122929
12 129,200 387,600 .94205 205742.679 12171220 260,300 647,900 .93272 0 24278728 260,300 908,200 .92348 0 24038336 260,300 1,168,500 .91434 0 23800344 260,300 1,428,800 .90529 0 23564652 260,300 1,689,100 .89632 0 23331360 260,300 1,949,400 .88745 0 231003
Release Prices
72 473,100 2,422,500 .87866 0 41569584 473,100 2,895,600 .86996 0 41157996 473,100 3,368,700 .86135 0 407504
108 473,100 3,841,800 .85282 0 403470120 473,100 4,314,900 .84438 0 399475132 473,100 4,788,000 .83602 0 395520140 342,000 5,130,000 .82774 0 283087148 342,000 5,472,000 .81954 0 280284156 342,000 5,814,000 .81143 0 277509164 342,000 6,156,000 .80340 0 274762172 342,000 6,498,000 .79544 0 272041180 342,000 6,840,000 .78757 0 269348180 6,840,000 3,569,554 5,880,209
5,880,209
LOAN SCHEDULE AND LENDER'S IRRPayments
Total Balance Cash Flow1,019,200 (896,557)
10,192 1,684,592 (655,200)16,846 2,356,638 (655,200)23,566 3,035,404 (655,200)
124,470 3,190,042 (124,284)126,017 3,346,226 (124,284)127,579 3,503,972 (124,284)224,656 3,349,395 189,617 223,111 3,193,272 189,617 221,549 3,035,588 189,617 219,973 2,876,327 189,617 218,380 2,715,474 189,617 216,771 2,553,012 189,617 370,162 2,233,910 344,632 366,971 1,911,617 344,632 363,748 1,586,102 344,632 360,493 1,257,331 344,632 357,205 925,272 344,632 353,885 589,893 344,632 255,030 346,660 249,131 252,598 100,996 249,131 103,015 0 102,005
0 0 0 0 0 0 0 0 0
4,536,218
DEVELOPER'S CASH FLOW, NPV AND IRR
4 5 6 7 8
780,900 1,419,300 1,419,300 1,026,000 1,026,000 0
86,274 66,985 37,687 10,375 0 867,174 1,486,285 1,456,987 1,036,375 1,026,000
568,850 1,033,896 1,033,896 600,268 0 86,274 66,985 37,687 10,375 0
26,250 26,250 26,250 26,250 26,25043,750 43,750
39,045 70,965 70,965 51,300 51,300 764,169 1,198,096 1,168,798 688,194 121,300
$103,005 $288,189 $288,189 $348,182 $904,700
discount rate
Chapter 17 ExhibitsFinancing Land Development Projects*
Land and Development Costs:2,400,000
Site Closing 50,000 Site Improvements 2,640,000 Construction Interest 448,109 Const. Loan Fee 122,643
Total Direct Costs 5,660,753
Operating Expenses:Selling Commissions 279,110 Property Taxes 87,500 General & Admin. 210,000 Total Indirect Costs 576,610
Total Project Costs 6,237,363 - Loan Amount 4,088,109 Total Equity Required 2,149,253
Percent Financed 65.54%
Chapter 18
Initial InvestmentInvestors Capital Inc. -$45,000,000Property Developers Inc. -$5,000,000
Year Total Cash flow0 -$50,000,000 -$50,000,0001 $1,000,000 $1,000,0002 $2,000,000 $2,000,0003 $5,000,000 $5,000,0004 $6,000,000 $6,000,0005 $6,500,000 $81,500,000
IRR 14.81%
Year
1 $1,000,000 $1,000,000 $0 $02 $2,000,000 $2,000,000 $0 $03 $5,000,000 $2,250,000 $250,000 $2,500,0004 $6,000,000 $2,250,000 $250,000 $3,500,0005 $6,500,000 $2,250,000 $250,000 $4,000,000
Year0 -$45,000,000 -$5,000,0001 $1,000,000 $02 $2,000,000 $03 $3,500,000 $1,500,0004 $4,000,000 $2,000,0005 $70,150,834 $11,349,166
Initial Investment
Cash flow from Operations
Cash flow from Operations
Investors Capital Inc. return from operations
Property Developers Inc. return from operations
Remaining operating cash flow to be split
Investors Capital Inc.
Property Developers Inc.
IRR 13.22% 26.64%
Chapter 18
-$45,000,000$1,000,000 $0 $0 $1,000,000$2,000,000 $0 $0 $2,000,000$2,250,000 $250,000 $2,500,000 $3,500,000$2,250,000 $250,000 $3,500,000 $4,000,000$2,250,000 $250,000 $4,000,000 $61,801,668 $66,051,668
12.00%
Year01 $1,000,0002 $2,000,0003 $3,500,0004 $4,000,0005 $4,250,000 $45,000,000
Investors Capital Inc. return from operations
Property Developers Inc. return from operations
Remaining operating cash flow to be split
Investors Capital Inc. from sale for 12% IRR
Investors Capital Inc. cash flow for 12% IRR
Investors Capital Inc. cash flow from Operations
Investors Capital Inc. return of initial investment
Chapter 18
Check-$45,000,000 -$5,000,000 $0
$1,000,000 $0 $0$2,000,000 $0 $0$3,500,000 $1,500,000 $0$4,000,000 $2,000,000 $0
$5,000,000 $8,198,332 $70,150,834 $11,349,166 $0
13.22% 26.64%
-$45,000,000$1,000,000$2,000,000$3,500,000$4,000,000
$16,801,668 $66,051,668
12.00%
Property Developers Inc. return of initial investment
Remaining cash flow from sale to be split
Investors Capital Inc. total cash flow
Property Developers Inc.
Investors Capital Inc. additional cash flow from Sale
Total Cash Flow
Chapter 18
Initial InvestmentInvestors Capital Inc. -$45,000,000Property Developers Inc. -$5,000,000
Year Total Cash flow0 -$50,000,000 -$50,000,0001 $1,000,000 $1,000,0002 $2,000,000 $2,000,0003 $5,000,000 $5,000,0004 $6,000,000 $6,000,0005 $6,500,000 $81,500,000
IRR 14.81%
Year
1 $1,000,000 $1,000,000 $0 $02 $2,000,000 $2,000,000 $0 $03 $5,000,000 $2,250,000 $250,000 $2,500,0004 $6,000,000 $2,250,000 $250,000 $3,500,0005 $6,500,000 $2,250,000 $250,000 $4,000,000
Year0 -$45,000,000 -$5,000,0001 $1,000,000 $02 $2,000,000 $03 $3,500,000 $1,500,0004 $4,000,000 $2,000,0005 $66,051,493 $15,448,507
Initial Investment
Cash flow from Operations
Cash flow from
Operations
Investors Capital Inc. return from operations
Property Developers Inc. return from
operations
Remaining operating cash flow to be split
Investors Capital Inc.
Property Developers Inc.
IRR 12.00% 32.94%
Chapter 18
-$45,000,000$1,000,000 $0 $0 $1,000,000$2,000,000 $0 $0 $2,000,000$2,250,000 $250,000 $2,500,000 $3,500,000$2,250,000 $250,000 $3,500,000 $4,000,000$2,250,000 $250,000 $4,000,000 $53,602,986 $57,852,986
9.38%
Year01 $1,000,0002 $2,000,0003 $3,500,0004 $4,000,0005 $4,250,000 $45,000,000
Investors Capital Inc. return from
operations
Property Developers Inc. return
from operations
Remaining operating cash flow to be split
Investors Capital Inc. from sale for
12% IRR
Investors Capital Inc. cash flow for
12% IRR
Investors Capital Inc. cash flow
from Operations
Investors Capital Inc. return of initial
investment
Chapter 18
Check-$45,000,000 -$5,000,000 $0
$1,000,000 $0 $0$2,000,000 $0 $0$3,500,000 $1,500,000 $0$4,000,000 $2,000,000 $0
$5,000,000 $16,397,014 $66,051,493 $15,448,507 $0
12.00% 32.94%
-$45,000,000$1,000,000$2,000,000$3,500,000$4,000,000
$8,602,986 $57,852,986
9.38%
Property Developers Inc. return of initial
investment
Remaining cash flow
from sale to be split
Investors Capital Inc.
total cash flow
Property Developers
Inc.
Investors Capital Inc. additional cash flow from
SaleTotal Cash
Flow
Chapter 18Partnership Analysis
Data Input Box:Land 525,000 Income Considerations:Improvements $ 3,475,000 General PartnerFunding Required 4,180,000 Gen Partner Gain AllocationLoan Amount 3,000,000 Limited PartnerInterest Rate 12.00% per year Lim Partner Gain AllocationLoan Term 25 PGI (year 2)Payments per Year 12 Vacancy & LossHolding Period 5 years Operating Expense (yr 2)Syndication Expense 100,000 Income GrowthPoints 60,000 Resale PricePoints Term 25 Selling CostsPoints Payment 2,400 per year Tax Considerations:Organization Fee 20,000 DepreciationOrg Fee Term 5 General PartnerOrg Fee Payment 4,000 per year Limited Partner
Total: General Partner:Equity 1,180,000 EquityAnnual Loan Payment 379,161 Payment
SUMMARY LOAN INFORMATION:End of Year 2 3 4Payment 379,161 379,161 379,161 Mortgage Balance 2,979,750 2,956,931 2,931,218 Interest 358,910 356,342 353,448 Principal 20,250 22,819 25,713
SUMMARY OF POINTS INFORMATION:End of Year 2 3 4Payment 2,400 2,400 2,400 Balance 57,600 55,200 52,800
DISTRIBUTION OF BEFORE-TAX CASH FLOW:Year 2 3 4Potential Gross Income 750,000 772500 795675
37500 38625 39784Effective Gross Income 712,500 733,875 755,891
249375 256856 264562Net Operating Income 463,125 477,019 491,329
379,161 379,161 379,161 Before-Tax Cash Flow 83,964 97,858 112,169 Distribution:General Partner BTCF 4,198 4,893 5,608
Less: Vancancy & Loss
Less: Operationg Expenses
Less: Debt Service
Limited Partner BTCF 79,766 92,965 106,560
DISTRIBUTION OF TAXABLE INCOME:Net Operating Income 463,125 477,019 491,329
358,910 356,342 353,448 Depreciation 110,317 110,317 110,317 Organization Fee 4,000 4,000 4,000 Points 2,400 2,400 2,400 Taxable Income: (12,503) 3,959 21,164 Distribution:General Partner BTCF (625) 198 1,058 Limited Partner BTCF (11,878) 3,761 20,106
DISTRIBUTION OF TAXABLE GAIN FROM SALE:Sale Price $ 5,000,000 Selling Costs 250,000 Original Cost Basis $4,100,000
551,587 Adjusted Basis 3,548,413 Total Taxable Gain 1,201,587
Genral Partner's Gain $120,159 Limited Partners' Gain $1,081,429
CAPITAL ACCOUNTS PRIOR TO DISTRIBUTION OF CASH FLOW FROM SALE:End of Year 1 2 3
Limited PartnersEquity 1,121,000
0 3,761 (11,878) 0
(79,766) (92,965)Total for Year 1,121,000 (91,644) (89,204)Balance $ 1,121,000 1,029,356 940,153
General PartnerEquity 59,000
0 198 (625) 0
(4,198) (4,893)Total for Year 59,000 (4,823) (4,695)Balance $ 59,000 54,177 49,482
AFTER-TAX CASH FLOW & INTERNAL RATE OF RETURN:End of Year 1 2 3
General PartnerOperation:
Less: Interest
Less: Accumulated Depreciation
Plus: IncomeLess: LossPlus: Gain from SaleLess: Cash Distribution
Plus: IncomeLess: LossPlus: Gain from SaleLess: Cash Distribution
Before-Tax Cash Flow $ (59,000) 4,198 4,893 Taxable Income (625) 198 Taxes (175) 55 After-Tax Cash Flow $ (59,000) 4,373 4,837
Reversion:Before-Tax Cash FlowCapital GainsTaxesAfter-Tax Cash FlowTotal After-Tax Cash Flow $ (59,000) $ 4,373 $ 4,837
After-Tax Internal Rate of Return 22.24%
Limited PartnersOperation:Before-Tax Cash Flow (1,121,000) 79,766 92,965 Taxable Income (11,878) 3,761 Taxes (3,326) 1,053 After-Tax Cash Flow (1,121,000) 83,092 91,912
Reversion:Before-Tax Cash FlowCapital GainsTaxesAfter-Tax Cash FlowTotal After-Tax Cash Flow $(1,121,000) $ 83,092 $ 91,912
After-Tax Internal Rate of Return 13.15%
Chapter 18Partnership Analysis
Data Input Box:
5.00%10.00%95.00%90.00%
750,000 5.00% (of PGI)
35.00% (of EGI)3.00%
5,000,000 5.00%
31.5 years (S/L)28.00%28.00%
General Partner: Limited Partner:59,000 Equity 1,121,000 18,958 Payment 360,203
SUMMARY LOAN INFORMATION:5 6
379,161 379,161 2,902,244 2,869,596
350,187 346,512 28,974 32,648
SUMMARY OF POINTS INFORMATION:5 6
2,400 2,400 50,400 48,000
DISTRIBUTION OF BEFORE-TAX CASH FLOW:5 6
819545 84413240977 42207
778,568 801,925 272499 280674
506,069 521,251 379,161 379,161 126,909 142,091
6,345 7,105
120,563 134,986
DISTRIBUTION OF TAXABLE INCOME:506,069 521,251 350,187 346,512 110,317 110,317
4,000 4,000 2,400 50,400
39,165 10,021
1,958 501 37,207 9,520
DISTRIBUTION OF TAXABLE GAIN FROM SALE:
CAPITAL ACCOUNTS PRIOR TO DISTRIBUTION OF CASH FLOW FROM SALE:4 5 6
Limited Partners
20,106 37,207 9,520 0 0 0
1,081,429 (106,560) (120,563) (134,986)
(86,455) (83,357) 955,963 853,698 770,341 1,726,304
General Partner
1,058 1,958 501 0 0 0
120,159 (5,608) (6,345) (7,105)(4,550) (4,387) 113,555 44,931 40,544 154,100
AFTER-TAX CASH FLOW & INTERNAL RATE OF RETURN:4 5 6
General Partner
5,608 6,345 7,105 1,058 1,958 501
296 548 140 5,312 5,797 6,964
$ 154,100 120,159
33,644 120,455
$ 5,312 $ 5,797 $ 127,419
Limited Partners
106,560 120,563 134,986 20,106 37,207 9,520
5,630 10,418 2,666 100,931 110,145 132,320
$ 1,726,304 1,081,429
3028001,423,504
$100,931 $110,145 $ 1,555,825
Chapter 19Mortgage Pass Through Security
Data Input Box:Number of mortgages in initial pool 40Average mortgage balance $25,000 Initial mortgage pool balance $1,000,000 Prepayment rate 10.00%Mortgage rate 10.00%Servicing and Guarantee Fee 0.5%Coupon rate 9.50%Market interest rate 9.50%
Issuance of 100 Mortgage Pass Through Securities (MPT)
(a) (b) (c) (d) (e)Total PrincipalGuarantee
Principal Principal and and Interest andPool due to Interest Pmts Pmts to IssuerService Fees
Year Balance Prepayment to Issuer (b)+(c) (a)x(0.5%)0 $1,000,000 1 837,255 100,000 162,745 262,745 5,000 2 691,873 83,725 145,381 229,107 4,186 3 562,186 69,187 129,688 198,875 3,459 4 446,710 56,219 115,476 171,695 2,811 5 344,142 44,671 102,568 147,239 2,234 6 253,358 34,414 90,784 125,198 1,721 7 173,431 25,336 79,927 105,263 1,267 8 103,692 17,343 69,739 87,082 867 9 43,946 10,369 59,746 70,115 518
10 0 0 48,340 48,340 220
Discount rate Price to Green Value of MPT9.50% $1,000,000 $25,000 8.50% $1,033,908 $25,848
10.50% $967,969 $24,199
Chapter 19Mortgage Pass Through Security
Issuance of 100 Mortgage Pass Through Securities (MPT)
(f) (g)Total Pmt toPayments Individualto Investors Investor
(d)-(e) (f)/40($25,000)
257,745 6,444 224,921 5,623 195,415 4,885 168,884 4,222 145,005 3,625 123,477 3,087 103,996 2,600
86,215 2,155 69,597 1,740 48,120 1,203
Chapter 20CMO
MORTGAGE POOLAmount $75,000 (ooo omitted)Interest rate 11.00%Term 10 years
Annual Payment $12,735.11 Prepayment rate 0.00%
LOAN SCHEDULE FOR MORTGAGE POOL
Year Beg. Bal Payment Interest Principal End Bal
1 $75,000.00 $12,735.11 8,250.00 $4,485.11 $70,514.89 2 70,514.89 $12,735.11 7,756.64 $4,978.47 $65,536.42 3 65,536.42 $12,735.11 7,209.01 $5,526.10 $60,010.32 4 60,010.32 $12,735.11 6,601.14 $6,133.97 $53,876.35 5 53,876.35 $12,735.11 5,926.40 $6,808.71 $47,067.64 6 47,067.64 $12,735.11 5,177.44 $7,557.67 $39,509.98 7 39,509.98 $12,735.11 4,346.10 $8,389.01 $31,120.97 8 31,120.97 $12,735.11 3,423.31 $9,311.80 $21,809.17 9 21,809.17 $12,735.11 2,399.01 $10,336.10 $11,473.07
10 11,473.07 $12,735.11 1,262.04 $11,473.07 $0.00
CLASS Z TRAUNCHEAmount $30,000 Rate 11.00%
Total CashYear Beg. Bal Interest Payment End Bal Flow
0 ($30,000)1 $30,000.00 3,300.00 0.00 $33,300.00 0.00 2 33,300.00 3,663.00 0.00 36,963.00 0.00 3 36,963.00 4,065.93 0.00 41,028.93 0.00 4 41,028.93 4,513.18 0.00 45,542.11 0.00 5 45,542.11 5,009.63 6,484.10 44,067.64 6,484.10 6 44,067.64 4,847.44 12,405.11 36,509.98 12,405.11 7 36,509.98 4,016.10 12,405.11 28,120.97 12,405.11 8 28,120.97 3,093.31 12,405.11 18,809.17 12,405.11 9 18,809.17 2,069.01 12,405.11 8,473.07 12,405.11
10 8,473.07 932.04 9,405.11 0.00 9,405.11
IRR 11.00%
P V at 9.75% $32,611
TRAUNCH A
Amount $27,000 Rate 9.25%
CashYear Beg. Bal Interest Principal End Bal Flow
01 $27,000.00 2,497.50 $7,785.11 $19,214.89 10,282.61 2 19,214.89 1,777.38 8,641.47 10,573.42 10,418.85 3 10,573.42 978.04 9,592.03 981.39 10,570.07 4 981.39 90.78 981.39 0.00 1,072.17 5 0.00 0.00 0.00 0.00 0.00 6 0.00 0.00 0.00 0.00 0.00 7 0.00 0.00 0.00 0.00 0.00 8 0.00 0.00 0.00 0.00 0.00 9 0.00 0.00 0.00 0.00 0.00
10 0.00 0.00 0.00 0.00 0.00
P V at 8.50% $27,376
YTM
CLASS B TRAUNCHEAmount $15,000 Rate 10.00%
CashYear Beg. Bal Interest Principal End Bal Flow
01 $15,000.00 $1,500.00 $0.00 $15,000.00 1,500.00 2 15,000.00 1,500.00 0.00 15,000.00 1,500.00 3 15,000.00 1,500.00 0.00 15,000.00 1,500.00 4 15,000.00 1,500.00 9,665.76 5,334.24 11,165.76 5 5,334.24 533.42 5,334.24 0.00 5,867.66 6 0.00 0.00 0.00 0.00 0.00 7 0.00 0.00 0.00 0.00 0.00 8 0.00 0.00 0.00 0.00 0.00 9 0.00 0.00 0.00 0.00 0.00
10 0.00 0.00 0.00 0.00 0.00
P V at 9.50% $15,257 YTM
RESIDUAL CLASS
Total OtherYear in pool Classes Residual
0 ($3,000.00)1 $12,735.11 $11,782.61 952.50 2 $12,735.11 11,918.85 816.26 3 $12,735.11 12,070.07 665.03 4 $12,735.11 12,237.93 497.17 5 $12,735.11 12,351.76 383.34 6 $12,735.11 12,405.11 330.00 7 $12,735.11 12,405.11 330.00 8 $12,735.11 12,405.11 330.00 9 $12,735.11 12,405.11 330.00
10 $12,735.11 9,405.11 3,330.00
IRR 20.19%
Beginning Balance of ClassA B Z Total
Coupon 9.25% 10.00% 11.00%End of Year
0 27000 15000 30000 72000 1 19215 15000 33300 67515 2 10573 15000 36963 62536 3 981 15000 41029 57010 4 0 5334 45542 50876 5 0 0 44068 44068 6 0 0 36510 36510 7 0 0 28121 28121 8 0 0 18809 18809 9 0 0 8473 8473
a) Weighted Average Coupon when issued (yr 0) 10.14%
b) See above schedules for each class.Class A repaid in 3 years. Class B repaid in 5 years.
c) See above for WAC at end of each year.
Information and Graphs below are extra material for use by instructor
0 1 2 3 4 5 6 7 8 99.60%
9.80%
10.00%
10.20%
10.40%
10.60%
10.80%
11.00%
11.20%
Weighted Average Coupon(No prepayment)
Year
Wei
ghte
d A
vera
ge C
oupo
n
Prepayment IRR on ResidualRate
0.00% 19.10%5.00% 17.33%
10.00% 16.10%15.00% 15.53%20.00% 14.99%25.00% 14.74%30.00% 14.74%
0 1 2 3 4 5 6 7 8 99.60%
9.80%
10.00%
10.20%
10.40%
10.60%
10.80%
11.00%
11.20%
Weighted Average Coupon(No prepayment)
Year
Wei
ghte
d A
vera
ge C
oupo
n
0.00% 5.00% 10.00% 15.00% 20.00% 25.00% 30.00%14.00%
15.00%
16.00%
17.00%
18.00%
19.00%
20.00%
IRR on Residual vs. Prepayment
Prepayment rate
IRR
0.00% 5.00% 10.00% 15.00% 20.00% 25.00% 30.00%14.00%
15.00%
16.00%
17.00%
18.00%
19.00%
20.00%
IRR on Residual vs. Prepayment
Prepayment rate
IRR
Chapter 20CMO
LOAN SCHEDULE FOR MORTGAGE POOL
Prepayment
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CLASS Z TRAUNCHE
10% Price Increase
($33,000)0.00 0.00 0.00 0.00
6,484.10 12,405.11 12,405.11 12,405.11 12,405.11
9,405.11
9.57%
TRAUNCH A
10% Price Increase($29,700)
10,282.61 10,418.85 10,570.07
1,072.17 0.00 0.00 0.00 0.00 0.00 0.00
Note: No Class C in this problem but is included to make template more general.
4.23% CLASS C TRAUNCHEAmount $0
CLASS B TRAUNCHE Rate 0.00%
Year Beginning Interest Principal Ending BalanceBalance
10% Price Increase 1 $0.00 $0.00 $0.00 $0.00 ($16,500) 2 0.00 0.00 0.00 0.00 1,500.00 3 0.00 0.00 0.00 0.00 1,500.00 4 0.00 0.00 0.00 0.00 1,500.00 5 0.00 0.00 0.00 0.00
11,165.76 6 0.00 0.00 0.00 0.00 5,867.66 7 0.00 0.00 0.00 0.00
0.00 8 0.00 0.00 0.00 0.00 0.00 9 0.00 0.00 0.00 0.00 0.00 10 0.00 0.00 0.00 0.00 0.00
0.00 Do not delete Class C above. It is used for residual.
7.24%
Beginning Balance of ClassWAC
10.14%10.28%10.46%10.71%10.90%11.00%11.00%11.00%11.00%11.00%
0 1 2 3 4 5 6 7 8 99.60%
9.80%
10.00%
10.20%
10.40%
10.60%
10.80%
11.00%
11.20%
Weighted Average Coupon(No prepayment)
Year
Wei
ghte
d A
vera
ge C
oupo
n
0 1 2 3 4 5 6 7 8 99.60%
9.80%
10.00%
10.20%
10.40%
10.60%
10.80%
11.00%
11.20%
Weighted Average Coupon(No prepayment)
Year
Wei
ghte
d A
vera
ge C
oupo
n
0.00% 5.00% 10.00% 15.00% 20.00% 25.00% 30.00%14.00%
15.00%
16.00%
17.00%
18.00%
19.00%
20.00%
IRR on Residual vs. Prepayment
Prepayment rate
IRR
0.00% 5.00% 10.00% 15.00% 20.00% 25.00% 30.00%14.00%
15.00%
16.00%
17.00%
18.00%
19.00%
20.00%
IRR on Residual vs. Prepayment
Prepayment rate
IRR
Chapter 20CMO
Note: No Class C in this problem but is included to make template more general.
Chapter 20Floater and Inverse Floater
Input AssumptionsTotal amount of tranche $20,000,000 Interest rate for tranche 6.00%Total interest available $1,200,000
Maximum $ Amount Scale Rate change
Floater (F) $10,000,000 0.50 6.00%Inverse floater (IF) 10,000,000 0.50 -6.00%Total 20,000,000 1.00
F / IF Ratio 1.00 Max Inverse Floater (IF) rate 12.00%
Libor (F) Rate (IF) Rate F Interest0% 0.00% 12.00% $0 1% 1.00% 11.00% 100,000 2% 2.00% 10.00% 200,000 3% 3.00% 9.00% 300,000 4% 4.00% 8.00% 400,000 5% 5.00% 7.00% 500,000 6% 6.00% 6.00% 600,000 7% 7.00% 5.00% 700,000 8% 8.00% 4.00% 800,000 9% 9.00% 3.00% 900,000
10% 10.00% 2.00% 1,000,000 11% 11.00% 1.00% 1,100,000 12% 12.00% 0.00% 1,200,000 13% 12.00% 0.00% 1,200,000 14% 12.00% 0.00% 1,200,000 15% 12.00% 0.00% 1,200,000 16% 12.00% 0.00% 1,200,000 17% 12.00% 0.00% 1,200,000 18% 12.00% 0.00% 1,200,000
0% 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18%0.00%
2.00%
4.00%
6.00%
8.00%
10.00%
12.00%
14.00%
Rate on Floater and Inverse Floater vs. LIBOR
Floater Inverse FloaterLIBOR
Rat
e
0% 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18%0.00%
2.00%
4.00%
6.00%
8.00%
10.00%
12.00%
14.00%
Rate on Floater and Inverse Floater vs. LIBOR
Floater Inverse FloaterLIBOR
Rat
e
Chapter 20Floater and Inverse Floater
Rate limit12.00%
0.00%
IF Interest Total Interest$1,200,000 $1,200,000
1,100,000 1,200,000 1,000,000 1,200,000
900,000 1,200,000 800,000 1,200,000 700,000 1,200,000 600,000 1,200,000 500,000 1,200,000 400,000 1,200,000 300,000 1,200,000 200,000 1,200,000 100,000 1,200,000
0 1,200,000 0 1,200,000 0 1,200,000 0 1,200,000 0 1,200,000 0 1,200,000 0 1,200,000
0% 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18%0.00%
2.00%
4.00%
6.00%
8.00%
10.00%
12.00%
14.00%
Rate on Floater and Inverse Floater vs. LIBOR
Floater Inverse FloaterLIBOR
Rat
e
0% 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18%0.00%
2.00%
4.00%
6.00%
8.00%
10.00%
12.00%
14.00%
Rate on Floater and Inverse Floater vs. LIBOR
Floater Inverse FloaterLIBOR
Rat
e
Chapter 20IO/PO
MORTGAGE POOLAmount $1,000,000 Interest rate 11.00%TERM 10 years
Annual Payment 169801.427097 Prepayment
LOAN SCHEDULE FOR MORTGAGE POOL
Year Beg. Bal Payment Interest Principal
1 1000000 169801 110000 598012 940199 169801 103422 663803 873819 169801 96120 736814 800138 169801 88015 817865 718351 169801 79019 907836 627569 169801 69033 1007697 526800 169801 57948 1118538 414946 169801 45644 1241579 290789 169801 31987 137815
10 152974 169801 16827 152974
Interest only and Principal only strips
Year Interest Principal
1 $110,000 $59,801 2 103,422 66,380 3 96,120 73,681 4 88,015 81,786 5 79,019 90,783 6 69,033 100,769 7 57,948 111,853 8 45,644 124,157 9 31,987 137,815
10 16,827 152,974
PV @ 11% PV @ 11%
Assuming no prepayment $461,248 $538,752
PV @ 10% PV @ 10%
Assuming no prepayment $476,919 $566,437
PV @12% PV @12%
Assuming no prepayment $446,425 $512,991
Assuming prepayment:
MORTGAGE POOLAMOUNT $1,000,000 INTEREST RATE 11.00%TERM 10
ANNUAL PAYMENT 169801.427097 PREPAYMENT
LOAN SCHEDULE FOR MORTGAGE POOL
Year Beg. Bal Payment Interest Principal
1 1000000 169801 110000 2598012 740199 133681 81422 2002993 539900 104914 59389 1535054 386395 81999 42503 1167745 269620 63732 29658 879986 181623 49142 19978 654887 116135 37433 12775 478858 68249 27929 7507 340719 34178 19958 3760 23034
10 11144 12370 1226 11144
Interest only and Principal only strips
Year Interest Principal
1 $110,000 $259,801 2 81,422 200,299 3 59,389 153,505 4 42,503 116,774 5 29,658 87,998 6 19,978 65,488 7 12,775 47,885 8 7,507 34,071 9 3,760 23,034
10 1,226 11,144
PV @ 11% PV @ 11%$276,200 $723,800
Extra Calculations below
Present values at 8 percent with
PV of interest PV of Principal$296,777 $784,162
PV of Interest PV of PrincipalPrepayment
0.00% $361 $639 5.00% 311 689
10.00% 271 729 15.00% 238 762 20.00% 211 789 25.00% 189 811 30.00% 171 829
Assume $275 paid for the IO and $725 paid for the PO based on 15% prepayment.What is the IRR for the IO and PO if prepayment is actually 20%?
Year Interest Principal0 ($275) ($725)1 110,000 259,801 2 81,422 200,299 3 59,389 153,505 4 42,503 116,774 5 29,658 87,998 6 19,978 65,488 7 12,775 47,885 8 7,507 34,071 9 3,760 23,034
10 1,226 11,144
IRR 39974.02% 35811.78%
IRR of IO IRR of POPrepayment
0.00% 30.00% 5.38%5.00% 25.32% 6.57%
10.00% 20.62% 7.90%15.00% 15.91% 9.37%
20.00% 11.19% 10.94%25.00% 6.45% 12.59%30.00% 1.70% 14.30%
0% 5% 10% 15% 20% 25% 30%0%
5%
10%
15%
20%
25%
30%
35%
IRR on IO and PO vs. Prepayment
IO
PO
Prepayment rate
IRR
Chapter 20IO/PO
0.00%
LOAN SCHEDULE FOR MORTGAGE POOL
End Bal Prepayment
940199 0.00 873819 0.00 800138 0.00 718351 0.00 627569 0.00 526800 0.00 414946 0.00 290789 0.00 152974 0.00
0 0.00
Total PV$1,000,000
Total PV$1,043,356
Total PV$959,416
MORTGAGE POOL ($000 omitted)
years
20.00%
LOAN SCHEDULE FOR MORTGAGE POOL
End Bal Prepayment
740199 200000539900 148040386395 107980269620 77279181623 53924116135 36325
68249 2322734178 1365011144 6836
0 0
Total PV$1,000,000
20.00% prepayment
Total PV$1,080,939
Total PV
$1,000 $1,000 $1,000 $1,000 $1,000 $1,000 $1,000
Assume $275 paid for the IO and $725 paid for the PO based on 15% prepayment.What is the IRR for the IO and PO if prepayment is actually 20%?
0% 5% 10% 15% 20% 25% 30%0%
5%
10%
15%
20%
25%
30%
35%
IRR on IO and PO vs. Prepayment
IO
PO
Prepayment rate
IRR
Chapter 20Pool characteristics: Mortgages $10,000,000 Default property Price $8,000,000 Interest rate 10%Maturity 5
Assets Liabilities
Commercial Senior Securities: mortgages $10,000,000 Class A bonds
Subordinated securities:Class B bonds
TotalNet Worth (residual)
Total $10,000,000 Total
Panel A. No Default or Mortgage Payment
End of Cash Inflow Period to Pool Senior Subordinated Residual
1 $1,000,000 $480,000 $300,000 $220,000 2 $1,000,000 $480,000 $300,000 $220,000 3 $1,000,000 $480,000 $300,000 $220,000 4 $1,000,000 $480,000 $300,000 $220,000 5 $11,000,000 $6,480,000 $3,300,000 $1,220,000
IRR = 8.00% 10.00% 22.00%
Panel B. Default Occurs at Maturity and Sale of Property is 80%of Outstanding Loan Balance
End of Cash Inflow Period to Pool Senior Subordinated Residual
1 $1,000,000 $480,000 $300,000 $220,000 2 $1,000,000 $480,000 $300,000 $220,000 3 $1,000,000 $480,000 $300,000 $220,000 4 $1,000,000 $480,000 $300,000 $220,000 5 $9,000,000 $6,480,000 $2,520,000 $0
IRR = 8.00% 5.33% -4.92%
Chapter 20
Liabilities
Coupon8% $6,000,000
10% $3,000,000
$9,000,000 $1,000,000
$10,000,000
IRR CalculationsSenior Subordinated Residual($6,000,000) ($3,000,000) ($1,000,000)
$480,000 $300,000 $220,000 $480,000 $300,000 $220,000 $480,000 $300,000 $220,000 $480,000 $300,000 $220,000
$6,480,000 $3,300,000 $1,220,000
8.00% 10.00% 22.00%
IRR CalculationsSenior Subordinated Residual($6,000,000) ($3,000,000) ($1,000,000)
$480,000 $300,000 $220,000 $480,000 $300,000 $220,000 $480,000 $300,000 $220,000 $480,000 $300,000 $220,000
$6,480,000 $2,520,000 $0
8.00% 5.33% -4.92%
Chapter 21Efficient Frontier
1978 - 2000
Std. Dev. ReturnS & P 7.41% 4.06%NCREIF 1.76% 2.32%Correlation -0.0521
Portfolio Portfolio% S&P % NCREIF Variance Stand. Dev Return Return x 100
0.00% 100.00% 0.03% 1.76% 2.32% 2.32 5.00% 95.00% 0.03% 1.69% 2.41% 2.41
10.00% 90.00% 0.03% 1.71% 2.50% 2.50 15.00% 85.00% 0.03% 1.82% 2.58% 2.58 20.00% 80.00% 0.04% 1.99% 2.67% 2.67 25.00% 75.00% 0.05% 2.22% 2.76% 2.76 30.00% 70.00% 0.06% 2.48% 2.84% 2.84 35.00% 65.00% 0.08% 2.78% 2.93% 2.93 40.00% 60.00% 0.10% 3.09% 3.02% 3.02 45.00% 55.00% 0.12% 3.42% 3.10% 3.10 50.00% 50.00% 0.14% 3.76% 3.19% 3.19 55.00% 45.00% 0.17% 4.11% 3.28% 3.28 60.00% 40.00% 0.20% 4.47% 3.36% 3.36 65.00% 35.00% 0.23% 4.82% 3.45% 3.45 70.00% 30.00% 0.27% 5.19% 3.54% 3.54 75.00% 25.00% 0.31% 5.55% 3.62% 3.62 80.00% 20.00% 0.35% 5.92% 3.71% 3.71 85.00% 15.00% 0.40% 6.29% 3.80% 3.80 90.00% 10.00% 0.44% 6.66% 3.88% 3.88 95.00% 5.00% 0.50% 7.04% 3.97% 3.97
100.00% 0.00% 0.55% 7.41% 4.06% 4.06
1% 2% 3% 4% 5% 6% 7% 8%0.00%
0.50%
1.00%
1.50%
2.00%
2.50%
3.00%
3.50%
4.00%
4.50%
Exhibit 20-8 Portfolio Returns of NCREIF and S&P 500
Portfolio standard deviation %
Po
rtfo
lio
Ret
urn
(p
erce
nt)
1% 2% 3% 4% 5% 6% 7% 8%2.00
2.50
3.00
3.50
4.00
4.50
Exhibit 21-8 Portfolio Returns of NCREIF and S&P 500
Portfolio standard deviation %
Po
rtfo
lio
Ret
urn
(p
erce
nt)
1% 2% 3% 4% 5% 6% 7% 8%0.00%
0.50%
1.00%
1.50%
2.00%
2.50%
3.00%
3.50%
4.00%
4.50%
Exhibit 20-8 Portfolio Returns of NCREIF and S&P 500
Portfolio standard deviation %
Po
rtfo
lio
Ret
urn
(p
erce
nt)
1% 2% 3% 4% 5% 6% 7% 8%2.00
2.50
3.00
3.50
4.00
4.50
Exhibit 21-8 Portfolio Returns of NCREIF and S&P 500
Portfolio standard deviation %
Po
rtfo
lio
Ret
urn
(p
erce
nt)
Chapter 21Efficient Frontier
1978 - 2000
1% 2% 3% 4% 5% 6% 7% 8%0.00%
0.50%
1.00%
1.50%
2.00%
2.50%
3.00%
3.50%
4.00%
4.50%
Exhibit 20-8 Portfolio Returns of NCREIF and S&P 500
Portfolio standard deviation %
Po
rtfo
lio
Ret
urn
(p
erce
nt)
1% 2% 3% 4% 5% 6% 7% 8%2.00
2.50
3.00
3.50
4.00
4.50
Exhibit 21-8 Portfolio Returns of NCREIF and S&P 500
Portfolio standard deviation %
Po
rtfo
lio
Ret
urn
(p
erce
nt)
1% 2% 3% 4% 5% 6% 7% 8%0.00%
0.50%
1.00%
1.50%
2.00%
2.50%
3.00%
3.50%
4.00%
4.50%
Exhibit 20-8 Portfolio Returns of NCREIF and S&P 500
Portfolio standard deviation %
Po
rtfo
lio
Ret
urn
(p
erce
nt)
1% 2% 3% 4% 5% 6% 7% 8%2.00
2.50
3.00
3.50
4.00
4.50
Exhibit 21-8 Portfolio Returns of NCREIF and S&P 500
Portfolio standard deviation %
Po
rtfo
lio
Ret
urn
(p
erce
nt)