Question

In: Finance

1A) What is the discount rate at which the following cash flows have a NPV of...

1A) What is the discount rate at which the following cash flows have a NPV of $0? Answer in %, rounding to 2 decimals.

Year 0 cash flow = -158,000
Year 1 cash flow = 30,000
Year 2 cash flow = 36,000
Year 3 cash flow = 38,000
Year 4 cash flow = 39,000
Year 5 cash flow = 43,000
Year 6 cash flow = 42,000

1B) Your firm is evaluating a capital budgeting project. The estimated cash flows appear below. The board of directors wants to know the expected impact on shareholder wealth. Knowing that the estimated impact on shareholder wealth equates to net present value (NPV), you use your handy calculator to compute the value. What is the project's NPV? Assume that the cash flows occur at the end of each year. The discount rate (i.e., required rate of return, hurdle rate) is 17.1%. (Round to nearest penny)

Year 0 cash flow -96,000
Year 1 cash flow 48,000
Year 2 cash flow 40,000
Year 3 cash flow 53,000
Year 4 cash flow 43,000
Year 5 cash flow 25,000

1C) Spacely Sprockets Inc is a new start-up evaluating a new project. They worry that they don't have all the requisite operating information they will need to estimate Cash Flows From Assets and that they wouldn't be able to evaluate this project based on NPV and IRR (which both use the CFFA's to evaluate). Instead they have decided to use the Average Accounting Return (AAR) rule to evaluate the project. What is the AAR for this project? (Enter your answer as a percentage and Round to 2 decimals)

Accounting Info for Spacely Sprockets
Net Income Book Value of Assets
Year 1 42,000 526,000
Year 2 52,000 607,000
Year 3 62,000 699,000

ANSWER EACH PART (A,B,C)

Solutions

Expert Solution

1A) cash flows Lower Discount rate @10% Present value Higher discount rate @15 % Present value
Year 0 -158000 1.00 -158000 1.00 -158000
Year 1 30000 0.91 27270 0.87 23724.9
Year 2 36000 0.83 29736 0.75 22302
Year 3 38000 0.75 28538 0.66 18835.08
Year 4 39000 0.68 26637 0.57 15183.09
Year 5 43000 0.62 26660 0.50 13330
Year 6 42000 0.56 23688 0.43 10185.84
Net Present value 4529 -54439.09
IRR= L+ (NPV at lower rate/NPV at lower rate-NPV at higher rate)*higher rate-lower rate
10+[4529/4529+54439.09] *5 = 10.38%
cash flows Discount rate @17.1%
1B) Year 0 -96000 1 -96000
Year 1 48000 0.85 40800
Year 2 40000 0.72 28800
Year 3 53000 0.62 32860
Year 4 43000 0.53 22790
Year 5 25000 0.45 11250
Net Present value of project 40500
1C) Net Income Book value of asset
Year 1 42000 526000
Year 2 52000 607000
Year 3 62000 699000
Average balance 52000 610666.67
Average accounting return=(Average profit/Average book value)*100
(52000/610666.67)*100 = 8.52%

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