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Year 0 1 2 3 4 Project A -27 5 10 15 20 Cumulative Cash flows -27 -22 -12 3 23 Payback Period = Year
Year | 0 | 1 | 2 | 3 | 4 |
Project A | -27 | 5 | 10 | 15 | 20 |
Cumulative Cash flows | -27 | -22 | -12 | 3 | 23 |
Payback Period = Year before cash flows become positive + (- Cumulative cash flow of Year 3/Cash flow of Project A for Year 4) | 2.25 | Years | |||
Year | 0 | 1 | 2 | 3 | 4 |
Project B | -27 | 20 | 10 | 8 | 6 |
Cumulative Cash flows | -27 | -7 | 3 | 11 | 17 |
Payback Period = Year before cash flows become positive + (- Cumulative cash flow of Year 1/Cash flow of Project A for Year 2) | 1.70 | Years |
Regular Payback perod of A = 2.25 Regular Payback perod of B = 1.70
Discount rate | 11% | ||||
Year | 0 | 1 | 2 | 3 | 4 |
Project A | -27 | 5 | 10 | 15 | 20 |
Discounted Cash = Cash flow/(1+discount rate)^n | -27 | 4.504505 | 8.116224 | 10.96787 | 13.17462 |
Cumulative Discounted Cash flow | -27 | -22.4955 | -14.3793 | -3.4114 | 9.763219 |
Discounted Payback Period = Year before cash flows become positive + (- Discounted Cumulative cash flow of Year 3/Cash flow of Project A for Year 4) | 3.26 | Years | |||
Discount rate | 11% | ||||
Year | 0 | 1 | 2 | 3 | 4 |
Project B | -27 | 20 | 10 | 8 | 6 |
Discounted Cash = Cash flow/(1+discount rate)^n | -27 | 18.01802 | 8.116224 | 5.849531 | 3.952386 |
Cumulative Discounted Cash flow | -27 | -8.98198 | -0.86576 | 4.983773 | 8.936159 |
Discounted Payback Period = Year before cash flows become positive + (- Discounted Cumulative cash flow of Year 2/Cash flow of Project A for Year 3) | 2.15 | Years |
Discounted Payback Period of A = 3.26 Discounted Payback Period of B = 2.15
A | B | C | D | E | ||
Year | 0 | 1 | 2 | 3 | 4 | |
1 | Project A | -27 | 5 | 10 | 15 | 20 |
2 | Discount rate | 11% | ||||
NPV | 9.76 | NPV(A2,B1:E1)+A1 | ||||
A | B | C | D | E | ||
Year | 0 | 1 | 2 | 3 | 4 | |
1 | Project B | -27 | 20 | 10 | 8 | 6 |
2 | Discount rate | 11% | ||||
NPV | 8.94 | NPV(A2,B1:E1)+A1 |
Since they are independent project both projects should be undertaken.
A | B | C | D | E | ||
Year | 0 | 1 | 2 | 3 | 4 | |
1 | Project A | -27 | 5 | 10 | 15 | 20 |
2 | Discount rate | 5% | ||||
NPV | 16.24 | NPV(A2,B1:E1)+A1 | ||||
A | B | C | D | E | ||
Year | 0 | 1 | 2 | 3 | 4 | |
1 | Project B | -27 | 20 | 10 | 8 | 6 |
2 | Discount rate | 5% | ||||
NPV | 12.96 | NPV(A2,B1:E1)+A1 |
Since they are mutually exclusive projects Project A should be undertaken as it has higher NPV
A | B | C | D | E | ||
Year | 0 | 1 | 2 | 3 | 4 | |
1 | Project A | -27 | 5 | 10 | 15 | 20 |
2 | Discount rate | 15% | ||||
NPV | 6.21 | NPV(A2,B1:E1)+A1 | ||||
A | B | C | D | E | ||
Year | 0 | 1 | 2 | 3 | 4 | |
1 | Project B | -27 | 20 | 10 | 8 | 6 |
2 | Discount rate | 15% | ||||
NPV | 6.64 | NPV(A2,B1:E1)+A1 |
Since they are mutually exclusive projects Project B should be undertaken as it has higher NPV.
I need e-g please
Problem 10-21 Payback, NPV, and MIRR Your division is considering two investment projects, each of which requires an up-front expenditure of$27 million. You estimate that the cost of capital is 11% and that the investments will produce the following after-tax cash flows (in millions of dollars): (17 points) Project A Project B 20 10 8 6 Year 10 15 20 4 a. What is the regular payback period for each of the projects? Round your answers to two decimal places Project A years Project B years b. What is the discounted payback period for each of the projects? Round your answers to two decimal places. Project A years Project B years c. If the two projects are independent and the cost of capital is 11%, which project or projects should the firm undertake? Select d. If the two projects are mutually exclusive and the cost of capital is 5%, which project should the firm undertake? -Select
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