chapter 26 capital investment decisions demonstration problems © 2016 pearson education, ltd. 26-1
TRANSCRIPT
Chapter 26
Capital Investment Decisions
Demonstration Problems
© 2016 Pearson Education, Ltd. 26-1
Demonstration of E26-19
Lang, Inc., is adding a new product line that will require an investment of $780,000. Managers estimate that this investment will have an 8-year life and generate net cash inflows of $220,000 the first year, $160,000 the second year, and $150,000 each year thereafter for six years. Compute the payback period. Round to one decimal place.
© 2016 Pearson Education, Ltd. 26-2
Net Cash Outflows Net Cash InflowsYear Amount Invested Annual Accumulated
0 $780,000
12345678
Demonstration of E26-19
Lang, Inc., is adding a new product line that will require an investment of $780,000. Managers estimate that this investment will have an 8-year life and generate net cash inflows of $220,000 the first year, $160,000 the second year, and $150,000 each year thereafter for six years. Compute the payback period. Round to one decimal place.
© 2016 Pearson Education, Ltd. 26-3
Net Cash Outflows Net Cash InflowsYear Amount Invested Annual Accumulated
0 $780,000
1 $220,000
$220,000
2345678
Demonstration of E26-19
Lang, Inc., is adding a new product line that will require an investment of $780,000. Managers estimate that this investment will have an 8-year life and generate net cash inflows of $220,000 the first year, $160,000 the second year, and $150,000 each year thereafter for six years. Compute the payback period. Round to one decimal place.
© 2016 Pearson Education, Ltd. 26-4
Net Cash Outflows Net Cash InflowsYear Amount Invested Annual Accumulated
0 $780,000
1 $220,000
$220,000
2160,000 380,000
345678
Demonstration of E26-19
Lang, Inc., is adding a new product line that will require an investment of $780,000. Managers estimate that this investment will have an 8-year life and generate net cash inflows of $220,000 the first year, $160,000 the second year, and $150,000 each year thereafter for six years. Compute the payback period. Round to one decimal place.
© 2016 Pearson Education, Ltd. 26-5
Net Cash Outflows Net Cash InflowsYear Amount Invested Annual Accumulated
0 $780,000
1 $220,000
$220,000
2160,000 380,000
3150,000 530,000
45678
Demonstration of E26-19
Lang, Inc., is adding a new product line that will require an investment of $780,000. Managers estimate that this investment will have an 8-year life and generate net cash inflows of $220,000 the first year, $160,000 the second year, and $150,000 each year thereafter for six years. Compute the payback period. Round to one decimal place.
© 2016 Pearson Education, Ltd. 26-6
Net Cash Outflows Net Cash InflowsYear Amount Invested Annual Accumulated
0 $780,000
1 $220,000
$220,000
2160,000 380,000
3150,000 530,000
4150,000 680,000
5678
Demonstration of E26-19
Lang, Inc., is adding a new product line that will require an investment of $780,000. Managers estimate that this investment will have an 8-year life and generate net cash inflows of $220,000 the first year, $160,000 the second year, and $150,000 each year thereafter for six years. Compute the payback period. Round to one decimal place.
© 2016 Pearson Education, Ltd. 26-7
Net Cash Outflows Net Cash InflowsYear Amount Invested Annual Accumulated
0 $780,000
1 $220,000
$220,000
2160,000 380,000
3150,000 530,000
4150,000 680,000
5150,000 830,000
678
Demonstration of E26-19
Lang, Inc., is adding a new product line that will require an investment of $780,000. Managers estimate that this investment will have an 8-year life and generate net cash inflows of $220,000 the first year, $160,000 the second year, and $150,000 each year thereafter for six years. Compute the payback period. Round to one decimal place.
© 2016 Pearson Education, Ltd. 26-8
Net Cash Outflows Net Cash InflowsYear Amount Invested Annual Accumulated
0 $780,000
1 $220,000
$220,000
2160,000 380,000
3150,000 530,000
4150,000 680,000
5150,000 830,000
6150,000 980,000
78
Demonstration of E26-19
Lang, Inc., is adding a new product line that will require an investment of $780,000. Managers estimate that this investment will have an 8-year life and generate net cash inflows of $220,000 the first year, $160,000 the second year, and $150,000 each year thereafter for six years. Compute the payback period. Round to one decimal place.
© 2016 Pearson Education, Ltd. 26-9
Net Cash Outflows Net Cash InflowsYear Amount Invested Annual Accumulated
0 $780,000
1 $220,000
$220,000
2160,000 380,000
3150,000 530,000
4150,000 680,000
5150,000 830,000
6150,000 980,000
7150,000 1,130,000
8
Demonstration of E26-19
Lang, Inc., is adding a new product line that will require an investment of $780,000. Managers estimate that this investment will have an 8-year life and generate net cash inflows of $220,000 the first year, $160,000 the second year, and $150,000 each year thereafter for six years. Compute the payback period. Round to one decimal place.
© 2016 Pearson Education, Ltd. 26-10
Net Cash Outflows Net Cash InflowsYear Amount Invested Annual Accumulated
0 $780,000
1 $220,000
$220,000
2160,000 380,000
3150,000 530,000
4150,000 680,000
5150,000 830,000
6150,000 980,000
7150,000 1,130,000
8150,000 1,280,000
Demonstration of E26-19
Lang, Inc., is adding a new product line that will require an investment of $780,000. Managers estimate that this investment will have an 8-year life and generate net cash inflows of $220,000 the first year, $160,000 the second year, and $150,000 each year thereafter for six years. Compute the payback period. Round to one decimal place.
© 2016 Pearson Education, Ltd. 26-11
Net Cash Outflows Net Cash InflowsYear Amount Invested Annual Accumulated
0 $780,000
1 $220,000
$220,000
2160,000 380,000
3150,000 530,000
4150,000 680,000
5150,000 830,000
6150,000 980,000
7150,000 1,130,000
8150,000 1,280,000
Demonstration of E26-19
Lang, Inc., is adding a new product line that will require an investment of $780,000. Managers estimate that this investment will have an 8-year life and generate net cash inflows of $220,000 the first year, $160,000 the second year, and $150,000 each year thereafter for six years. Compute the payback period. Round to one decimal place.
© 2016 Pearson Education, Ltd. 26-12
Payback = 4 years + Amount needed to complete recovery in year 5Net cash inflow in year 5
Demonstration of E26-19
© 2016 Pearson Education, Ltd. 26-13
Payback = 4 years + Amount needed to complete recovery in year 5Net cash inflow in year 5
= 4 years + Amount invested – Accumulated net cash
inflows at the end of year 4Net cash inflow in year 5
Demonstration of E26-19
© 2016 Pearson Education, Ltd. 26-14
Payback = 4 years + Amount needed to complete recovery in year 5Net cash inflow in year 5
= 4 years + Amount invested – Accumulated net cash
inflows at the end of year 4Net cash inflow in year 5
= 4 years +$780,000 – $680,000
$150,000
Demonstration of E26-19
© 2016 Pearson Education, Ltd. 26-15
Payback = 4 years + Amount needed to complete recovery in year 5Net cash inflow in year 5
= 4 years + Amount invested – Accumulated net cash
inflows at the end of year 4Net cash inflow in year 5
= 4 years +$780,000 – $680,000
$150,000
= 4 years +$100,000$150,000
Demonstration of E26-19
© 2016 Pearson Education, Ltd. 26-16
Payback = 4 years + Amount needed to complete recovery in year 5Net cash inflow in year 5
= 4 years + Amount invested – Accumulated net cash
inflows at the end of year 4Net cash inflow in year 5
= 4 years +$780,000 – $680,000
$150,000
= 4 years +$100,000$150,000
= 4 years + 0.7 years
Demonstration of E26-19
© 2016 Pearson Education, Ltd. 26-17
Payback = 4 years + Amount needed to complete recovery in year 5Net cash inflow in year 5
= 4 years + Amount invested – Accumulated net cash
inflows at the end of year 4Net cash inflow in year 5
= 4 years +$780,000 – $680,000
$150,000
= 4 years +$100,000$150,000
= 4 years + 0.7 years
= 4.7 years
Demonstration of E26-19
© 2016 Pearson Education, Ltd. 26-18
Demonstration of E26-24
Use the NPV method to determine whether Jade Products should invest in the following projects:
• Project A: Costs $380,000 and offers six annual net cash inflows of $98,000. Jade Products requires an annual return of 12% on investments of this nature.
• Project B: Costs $320,000 and offers seven annual net cash inflows of $60,000. Jade Products demands an annual return of 9% on investments of this nature.
Requirements
1. What is the NPV of each project? Assume neither project has a residual value. Round to two decimal places.
2. What is the maximum acceptable price to pay for each project?
3. What is the profitability index of each project? Round to two decimal places.
© 2016 Pearson Education, Ltd. 26-19
NetCashInflow
Annuity PV FactorPresentValueYears (i = 12%, n = 6) (i = 9%, n = 7)
Project A:
Requirement 1: What is the NPV of each project? Assume neither project has a residual value. Round to two decimal places.
Demonstration of E26-24
© 2016 Pearson Education, Ltd. 26-20
NetCashInflow
Annuity PV FactorPresentValueYears (i = 12%, n = 6) (i = 9%, n = 7)
Project A:1 – 6 Present value of annuity $
98,000
× 4.111a $402,878
Requirement 1: What is the NPV of each project? Assume neither project has a residual value. Round to two decimal places.
a Appendix B, Table B-2, Present Value of Annuity of $1
Demonstration of E26-24
© 2016 Pearson Education, Ltd. 26-21
NetCashInflow
Annuity PV FactorPresentValueYears (i = 12%, n = 6) (i = 9%, n = 7)
Project A:1 – 6 Present value of annuity $
98,000
× 4.111a $402,878
0 Initial investment(380,000)
Requirement 1: What is the NPV of each project? Assume neither project has a residual value. Round to two decimal places.
a Appendix B, Table B-2, Present Value of Annuity of $1
Demonstration of E26-24
© 2016 Pearson Education, Ltd. 26-22
NetCashInflow
Annuity PV FactorPresentValueYears (i = 12%, n = 6) (i = 9%, n = 7)
Project A:1 – 6 Present value of annuity $
98,000
× 4.111a $402,878
0 Initial investment(380,000)
Net present value of the project $22,878
Requirement 1: What is the NPV of each project? Assume neither project has a residual value. Round to two decimal places.
a Appendix B, Table B-2, Present Value of Annuity of $1
Demonstration of E26-24
© 2016 Pearson Education, Ltd. 26-23
NetCashInflow
Annuity PV FactorPresentValueYears (i = 12%, n = 6) (i = 9%, n = 7)
Project A:1 – 6 Present value of annuity $
98,000
× 4.111a $402,878
0 Initial investment(380,000)
Net present value of the project $22,878
Project B:
Requirement 1: What is the NPV of each project? Assume neither project has a residual value. Round to two decimal places.
a Appendix B, Table B-2, Present Value of Annuity of $1
Demonstration of E26-24
© 2016 Pearson Education, Ltd. 26-24
NetCashInflow
Annuity PV FactorPresentValueYears (i = 12%, n = 6) (i = 9%, n = 7)
Project A:1 – 6 Present value of annuity $
98,000
× 4.111a $402,878
0 Initial investment(380,000)
Net present value of the project $22,878
Project B:1 – 7 Present value of annuity $
60,000
× 5.033a $301,980
Requirement 1: What is the NPV of each project? Assume neither project has a residual value. Round to two decimal places.
a Appendix B, Table B-2, Present Value of Annuity of $1
Demonstration of E26-24
© 2016 Pearson Education, Ltd. 26-25
NetCashInflow
Annuity PV FactorPresentValueYears (i = 12%, n = 6) (i = 9%, n = 7)
Project A:1 – 6 Present value of annuity $
98,000
× 4.111a $402,878
0 Initial investment(380,000)
Net present value of the project $22,878
Project B:1 – 7 Present value of annuity $
60,000
× 5.033a $301,980
0 Initial investment(320,000)
Requirement 1: What is the NPV of each project? Assume neither project has a residual value. Round to two decimal places.
a Appendix B, Table B-2, Present Value of Annuity of $1
Demonstration of E26-24
© 2016 Pearson Education, Ltd. 26-26
NetCashInflow
Annuity PV FactorPresentValueYears (i = 12%, n = 6) (i = 9%, n = 7)
Project A:1 – 6 Present value of annuity $
98,000
× 4.111a $402,878
0 Initial investment(380,000)
Net present value of the project $22,878
Project B:1 – 7 Present value of annuity $
60,000
× 5.033a $301,980
0 Initial investment(320,000)
Net present value of the project $(18,020)
Requirement 1: What is the NPV of each project? Assume neither project has a residual value. Round to two decimal places.
a Appendix B, Table B-2, Present Value of Annuity of $1
Demonstration of E26-24
© 2016 Pearson Education, Ltd. 26-27
NetCashInflow
Annuity PV FactorPresentValueYears (i = 12%, n = 6) (i = 9%, n = 7)
Project A:1 – 6 Present value of annuity $
98,000
× 4.111a $402,878
0 Initial investment(380,000)
Net present value of the project $22,878
Project B:1 – 7 Present value of annuity $
60,000
× 5.033a $301,980
0 Initial investment(320,000)
Net present value of the project $(18,020)
Requirement 1: What is the NPV of each project? Assume neither project has a residual value. Round to two decimal places.
a Appendix B, Table B-2, Present Value of Annuity of $1
The net present value of Project A is $22,878 and the net present value of Project B is $(18,020).
Demonstration of E26-24
© 2016 Pearson Education, Ltd. 26-28
Requirement 2: What is the maximum acceptable price to pay for each project?
Demonstration of E26-24
© 2016 Pearson Education, Ltd. 26-29
Requirement 2: What is the maximum acceptable price to pay for each project?
The maximum acceptable price to pay is $402,878 for Project A and $301,980 for project B. (The total present value of net cash inflows from each project, calculated in Requirement 1.)
Demonstration of E26-24
© 2016 Pearson Education, Ltd. 26-30
Requirement 3: What is the profitability index of each project? Round to two decimal places.
Present value of net cash inflowsInitial investment =
Profitability Index
Demonstration of E26-24
© 2016 Pearson Education, Ltd. 26-31
Requirement 3: What is the profitability index of each project? Round to two decimal places.
Present value of net cash inflowsInitial investment =
Profitability Index
Project A$ 402,878a
$ 380,000 = 1.06 (rounded)
a Calculated in Requirement 1.
Demonstration of E26-24
© 2016 Pearson Education, Ltd. 26-32
Requirement 3: What is the profitability index of each project? Round to two decimal places.
Present value of net cash inflowsInitial investment =
Profitability Index
Project A$ 402,878a
$ 380,000 = 1.06 (rounded)
Project B$ 301,980a
$ 320,000 = 0.94 (rounded)
a Calculated in Requirement 1.
Demonstration of E26-24
© 2016 Pearson Education, Ltd. 26-33
Requirement 3: What is the profitability index of each project? Round to two decimal places.
Present value of net cash inflowsInitial investment =
Profitability Index
Project A$ 402,878a
$ 380,000 = 1.06 (rounded)
Project B$ 301,980a
$ 320,000 = 0.94 (rounded)
The profitability index of Project A is 1.06 (rounded) and the profitability index of Project B is 0.94 (rounded).
a Calculated in Requirement 1.
Demonstration of E26-24
© 2016 Pearson Education, Ltd. 26-34