home work excel solution

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Que 1 Part - A T=0 T=1 T=2 T=3 1 Cash Flow $ (110,000) $ 30,000 ### $ 30,000 2 Discount Rate @ 10% 1 0.9091 0.8264 0.7513 3 PV $ (110,000) $ 27,273 $ 24,792 $ 22,539 4 NPV( Inflow-Outflow) $ 3,721 Part- B Refer Doc. Notes Part- C Improved Machine replacement T=0 T=1 T=2 T=3 1 Cash Flow Outflow $ (150,000) Incremental Revenue $ 40,000 ### $ 40,000 2 Discount Rate @ 10% 1 0.9091 0.8264 0.7513 3 PV $ (150,000) $ 36,364 $ 33,056 $ 30,052 4 NPV( Inflow-Outflow) $ 1,628 QUE -2 A Mini-case on Relevant Cash Flows (6 Points) Items (in thousands of dolla T=0 T=1 to 4 T=5 1 Revenues 12,000 12,000 2 Raw Material Costs 4,000 4,000 3 Direct costs 1,000 1,000 4 Depreciation 4,000 4,000 5 EBIT (1-2-3-4) 3,000 3,000 6 Tax Rate 40% of 5 1,200 1,200 7 NOPAT (5-6) 1,800 1,800 8 Increase in Inventories -400 0 400 9 Capital Expenditures -20,000 0 0 10 Cash Flow of Project (7+4 -20,400 5,800 6,200 11 NPV of line 10 @11% $1,274 The cash flow projections did not include effect of accounts receivables and payables. The aver expected to be 50 days, and 36 days respectively based on 365 days. Change in WCR Accounts receivable (sales/365)* 50 Accounts Payable

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Home work solution for ISB PGP course

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Que 1Part - A T=0 T=1 T=2 T=3

1 Cash Flow $ (110,000) $ 30,000 ### $ 30,000

2 Discount Rate @ 10% 1 0.9091 0.8264 0.7513

3 PV $ (110,000) $ 27,273 $ 24,792 $ 22,539 4 NPV( Inflow-Outflow) $ 3,721

Part- B Refer Doc. Notes

Part- C Improved Machine replacementT=0 T=1 T=2 T=3

1 Cash FlowOutflow $ (150,000)

Incremental Revenue $ 40,000 ### $ 40,000

2 Discount Rate @ 10% 1 0.9091 0.8264 0.7513

3 PV $ (150,000) $ 36,364 $ 33,056 $ 30,052

4 NPV( Inflow-Outflow) $ 1,628

QUE -2

A Mini-case on Relevant Cash Flows (6 Points)

Items (in thousands of dollaT=0 T=1 to 4 T=51 Revenues 12,000 12,0002 Raw Material Costs 4,000 4,0003 Direct costs 1,000 1,0004 Depreciation 4,000 4,0005 EBIT (1-2-3-4) 3,000 3,0006 Tax Rate 40% of 5 1,200 1,2007 NOPAT (5-6) 1,800 1,8008 Increase in Inventories -400 0 4009 Capital Expenditures -20,000 0 0

10 Cash Flow of Project (7+4 -20,400 5,800 6,20011 NPV of line 10 @11% $1,274

The cash flow projections did not include effect of accounts receivables and payables. The average collection period for receivables and average payment period for payables are expected to be 50 days, and 36 days respectively based on 365 days. Change in WCR

Accounts receivable (sales/365)* 50

Accounts Payable

T=4 T=5 Total Inflow $ 30,000 $ 30,000 $ 150,000

0.683 0.6209

$ 20,490 $ 18,627 $ 113,721

T=4 T=5 Total

$ 40,000 $ 40,000 $ 200,000

0.683 0.6209 3.7907

$ 27,320 $ 24,836 $ 151,628

The cash flow projections did not include effect of accounts receivables and payables. The average collection period for receivables and average payment period for payables are

The firm replaces the old machine with new machine. Two years later, an improved machine becomes available which makes the “existing” machine obsolete with no salvage value. The improved machine will cost $150,000 and last five years. The annual additional cost savings over the previous machine is expected to be $40,000. This machine will be depreciated on a straight line towards a zero book value. Other items remain same

The firm replaces the old machine with new machine. Two years later, an improved machine becomes available which makes the “existing” machine obsolete with no salvage value. The improved machine will cost $150,000 and last five years. The annual additional cost savings over the previous machine is expected to be $40,000. This machine will be depreciated on a straight line towards a zero book value. Other items remain same

Calculation of Cost of CapitalPart A

Particulars A B1. βE 1.2 0.952. D/E 1.25 1.853. kD % 6 74. βA (Business Risk)1 βA = βE /{1+D/E}1 0.53 0.335. % Business Risk 4/1 53% 33%6. % Financial Risk (100-line 5) 47% 67%

1.00 0.778. kE: = RF + MRP x βE 5.05 5.0389. WACC: = kD(1-T)x D/(D+E) + kE x E/D+E 4.58 4.95E/(D+E) 0.44 0.35D/(D+E) 0.56 0.65

Part B Refer the document file

7. βE for sample firms; βA x{1+(D/E)}1β

E = β

A x{1+ (1-t) D/E}

C D E Average1.35 1.45 1.55 1.31.35 1.7 3.4 1.91

7.5 7.25 8.5 7.250.57 0.54 0.35 0.46657% 54% 35% 47%43% 46% 65% 53%

1.12 1.18 1.19 1.055.056 5.059 5.060 5.05

5.17 5.07 5.75 5.100.43 0.37 0.230.57 0.63 0.77

Homework on Financial Analysis: QUE - 1 PART- A

Managerial Income Statement2003 2004

$ 1 Sales 22,1002 EBIT 6503 NOPAT (2x.6) 3864 Interest A Tax 110 66 1305 Net Income 320

Managerial Balance Sheet6 Cash 6007 Accts. Receivable 2,730 3,1008 Inventories 2,800 3,2009 Accts. Payables 1,400 1,600

10 Accrued Expenses 200 26011 WCR (7+8-9-10) 3,93012 Net Fixed Assets 1,20013 Invested Cap (11+12+6) 5,730

14 Short Term Debt 30015 Long Term Debt 1,30016 Owners Equity 4,13017 Cap Employed (14+15+16) 5,730

Managerial Cash Flow Statement18 NOPAT 53819 Depreciation 020 Operating Cash Flow (18+19)21 Change In Cash Balance 25022 Change in WCR -51023 Change in Net Fixed Assets -10024 Depreciation 025 Capital Expenditures (23+24)26 Investment CF (22+25-21)27 Free Cash Flow(20+26)28 Financial Cash Flows29 Interest After Taxes -7830 Change in Short Term Debt 20031 Change in Long Term Debt -10032 CF to Debt (29+30+31)33 Dividends to Equity -20034 New Equity Issued 0

35 CF to Equity (33 + 34))36 Free Cash Flow (32+35)

2004 2005 Remarks $ $ 24,300 31,600

900 1,350538 810 Tax @40%

78 267 160460 650

350 3004,2004,3002,050

3504,440 6,1001,300 1,4406,090 7,840

500 1,9001,200 1,1004,390 4,8406,090 7,840

8100

538 810 Inflow50

-1,660 -1,610 Outflow-140

0-100 -140 Outflow-360178 940 Outflow

160 outflow-1400 Inflow

10022 -1140 Inflow

2000

Inflow or Outflow

-200 200 outflow-178 940 Inflow

Homework on Financial Analysis: QUE - 1 PART -D

TABLE - 1 MANAGERIAL BALANCE SHEET & CASHFLOW STATEMENT

BALANCE SHEET INCOME STATEMENTItem New Amt Old Amt Item

Cash 1,285 $300 1. Sales

WCR 3215 6,100 2. EBIT

Net Fixed Assets 1440 1,440 3. NOPAT

Invested Capital 5940 7,840

5. Int. After Tax

Short Term Debt 0 1,900 6. EBT (2-4)

Long Term Debt 1100 1,100 7. Tax 40% of 6

Owners Equity 4840 4,840 8. Net Income(3-5 or 6-7)

Cap. Employed 5,940 7,840 Dividends

4. Interest1

Part D: Assume that firm can improve its cash conversion cycle for 2005 such that i. It will have an average collection period of 30 days, an average payment period of 33 days.ii. Inventory turnover of 8.iii. Accrued expenses will remain unchanged. iv. Further assume that interest expense will be 4% of EBIv. Tax rate will remain at 40%. VI. Sales and EBIT will not change. VII. Use 365 days in a year. VIII. Assume that dividends in 2005 will be $328 instead of $200,IX. Any cash savings derived from reduction in working capital will be used to pay short term debt.

Homework on Financial Analysis:

MANAGERIAL BALANCE SHEET & CASHFLOW STATEMENT

INCOME STATEMENT CASH FLOW STATEMENTAmount Item Amount

$31,600 1. NOPAT .6 x EBIT 810 Inflow

1,350 1,225 Inflow

810 -140 Outflow

54 -935

32 5. FCF (1+2+3+4) 960 Inflow

1,296 6. Dividends -328

518 7. Int. A. Taxes -32

778 -600

328 9. FCF (6+7+8) -960 Outflow

2. WCR

3. Net Fixed Assets

4. Cash Balance

8. S.T & LT Debt

Part D: Assume that firm can improve its cash conversion cycle for 2005 such that i. It will have an average collection period of 30 days, an average payment period of 33 days.ii. Inventory turnover of 8.iii. Accrued expenses will remain unchanged. iv. Further assume that interest expense will be 4% of EBIv. Tax rate will remain at 40%. VI. Sales and EBIT will not change. VII. Use 365 days in a year. VIII. Assume that dividends in 2005 will be $328 instead of $200,IX. Any cash savings derived from reduction in working capital will be used to pay short term debt.

TABLE -2 Working Capital Required

Item Accounts Receivable Inventories Acct. Payables

Formula Sales/365 x 30 days COGS/8

31600/365 x 30 25100/8 = 25100+(3200-4300)/365 x 33 =

New AMT 2005 2597 3138 2170Old AMT 2005 4,200 4,300 2,050

Old AMT 2004 3,100 3,200 1,600

Change in WCR

Decrese in Accounts Receivable 503 Inflow

Decrese in Inventory 63 Inflowincrese in accounts payable 570Increse in Accrued Exp 90

1,225

(COGS + Inventory)/365x 33

New WCR = A/R + Inventory – A/Payable – Accrued Exp

Accrued Exp WCR

350 3215350 6100

260 4440

Homework on Financial Analysis:

QUE - 1 PART-B

Particulars Formulae1 Op. Margin EBIT/Sales2 Turnover Sales/Inv. Capital emp3 ROICBTax EBIT/Inv. Capital emp4 Int. Factor EBT/EBIT5 Lev. Factor Inv. Cap/Equity6 Financial Multiplier EBT/EBIT x Inv Cap/Equity7 Tax Factor Net Inc/EBT8 ROE Net Inc/Equity

Alternate Formula: ROE = Net. Inc/Equity = ROICAT + (ROICAT – Int. RateAT) x Debt/Equity

9 ROICAT NOPAT/InvCap10 Int. RateBT Int./Total Debt11 Int. RateAT IntAT/T. Debt12 Spread (9-11) (ROICAT – Int.RateAT)13 Debt Equity T. Debt/Equity14 ROE Net Inc/Equity

PART - C Refer the Document file for ans.

Compute ROE, ROIC and their components for 2005: (4 points)

ROE = Net Inc /Equity = EBIT/Sales x Sales/Inv. Cap x EBT/EBIT x Inv. Cap/Equity x Net Inc/EBT

Margin x Turnover x Int. Factor x Lev. Factor x Tax Factor

Homework on Financial Analysis:

2003 2004 2005 Remarks650/22100 2.90% 3.70% 4%

22100/5730 3.86 3.99 4.031650/5730 11.34% 14.80% 17%540/650 0.83 0.86 0.80

5730/4130 1.39 1.39 1.6200.83 x 1.39 1.155 1.2 1.30

320/540 0.59 0.6 0.60320/4130 7.75% 10.48% 13.43%

Alternate Formula: ROE = Net. Inc/Equity = ROICAT + (ROICAT – Int. RateAT) x Debt/Equity

386/5730 6.74% 8.83% 10.33%110/1600 6.88% 7.65% 8.90%66/1600 4.13% 4.59% 5.33%

2.63% 4.24% 5.00%1600/4130 38.70% 38.70% 61.98%320/4130 7.75% 10.48% 13.43%

(4 points)

EBIT/Sales x Sales/Inv. Cap x EBT/EBIT x Inv. Cap/Equity x Net Inc/EBT

Margin x Turnover x Int. Factor x Lev. Factor x Tax Factor