Calculate the payback period, net present value, and internal rate of return for Project A

A project has the following cash flows set out below. What is the profitability index of this project if the relevant discount rate is 2 percent? Enter your final answer to two decimal places. Year Cash flow 0 -1,745 1 537 2 2,066 3 3,912

7. The NPV and payback period What information does the payback period provide? Suppose you are evaluating a project with the expected future cash inflows shown in the following table. Your boss has asked you to calculate the project’s net present value (NPV). You don’t know the project’s initial cost, but you do know the project’s regular, or conventional, payback period is 2.50 years. Year Cash Flow Year 1 $375,000 Year 2 $475,000 Year 3 $500,000 Year 4 $400,000   If the project’s weighted average cost of capital (WACC) is 8%, the project’s NPV (rounded to the nearest dollar) is: $345,386   $328,117   $414,463   $362,655

Consider the following two mutually exclusive projects: Year Cash Flow (A) Cash Flow (B) -$ 15,456 5,225 8,223 13,013 8,705 0 1 234 -$ 276,363 26,400 51,000 57,000 402,000 Whichever project you choose, if any, you require a 6 percent return on your investment. a. What is the payback period for Project A? Payback period b. What is the payback period for Project B? Payback period c. What is the discounted payback period for Project A? Discounted payback period

A firm evaluates all of its projects by applying the IRR rule. Year Cash Flow 0 1 2 3 162,000 54,000 85,000 69,000 What is the project's IRR? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Internal rate of return %

Consider the cash flows for projects Alpha and Beta as follows: Project Alpha Beta Required: (a) (b) Year 0 cash flow -$250 - $150 Year 1 cash flow 0 Year 2 cash flow 400 200 0 Determine the discount rate that will make the NPV of the two projects equal. (Ignore negative discount rates.) Determine the range of discount rates in which project Alpha is preferred to project Beta.

7. The NPV and payback period What information does the payback period provide? Suppose you are evaluating a project with the expected future cash inflows shown in the following table. Your boss has asked you to calculate the project’s net present value (NPV). You don’t know the project’s initial cost, but you do know the project’s regular, or conventional, payback period is 2.50 years. Year Cash Flow Year 1 $300,000 Year 2 $450,000 Year 3 $500,000 Year 4 $500,000   If the project’s weighted average cost of capital (WACC) is 8%, the project’s NPV (rounded to the nearest dollar) is: $470,812   $449,412   $513,613   $428,011     Which of the following statements indicate a disadvantage of using the regular payback period (not the discounted payback period) for capital budgeting decisions? Check all that apply. The payback period does not take the time value of money into account.   The payback period is calculated using net…

A firm evaluates all of its projects by applying the IRR rule. Year Cash Flow 0 -$ 152,000 1 64,000 2 75,000 3 59,000 a. What is the project's IRR? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b. If the required return is 13 percent, should the firm accept the project? % a. Internal rate of return b. Project acceptance

Consider the following two mutually exclusive projects:   Year       Cash Flow (A)     Cash Flow (B) 0            −$29,000                 −$29000 1                     14,400                4,300 2                       12,300              9,800 3                         9,200              15,200 4                           5,100              16,800   a) What is the Internal Rate of Return (IRR) for each of these projects? b) Using the IRR decision rule, which project should the company accept? c) If the required return is 11 percent, what is the Net Present Value (NV) for each of these projects? d) Using the NPV decision rule, which project should the company accept? e) Why do you think the NPV and IRR rules do not agree on same project approval/rejection direction?

Two mutually exclusive investment projects have the following forecasted cash flows: a. Compute the internal rate of return for each project. b. Compute the net presnt value for each project if the firm has a 10 percent cost of capital. c. Which project should be adopted? Why? Year A B 0 -$20000 -$20000 1 +10000 0 2 +10000 0 3 +10000 0 4 +10000 +60000