Question

1) The Patches Group has invested $26,000 in a high-tech project lasting three years. Depreciation is...

1) The Patches Group has invested $26,000 in a high-tech project lasting three years. Depreciation is $8,100, $11,300, and $6,600 in Years 1, 2, and 3, respectively. The project generates pretax income of $3,530 each year. The pretax income already includes the depreciation expense. The tax rate is 34 percent.

What is the project’s average accounting return (AAR)?

2)

Compute the internal rate of return for the cash flows of the following two projects: (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)

Year Project A Project B
0 –$ 14,300 –$ 11,900
1 5,600 3,000
2 6,400 8,900
3 5,200 4,800
Internal rate of return
Project A %
Project B %

Homework Answers

Answer #1
Q1.
Pre-tax income 3530
Less: tax @ 34% 1200
Afterr tax Income 2330
Divide: Average investment 26000
Accounting rate of return 8.96%
Q2
IRR of A
Year Cashflows PVF at 10% Present value
0 -14300 1 -14300
1 5600 0.909091 5090.909
2 6400 0.826446 5289.256
3 5200 0.751315 3906.837
NPV -12.9
Hence IRR of A = 10%
IRR of B
Year Cashflows PVF at 17.8% Present value
0 -11900 1 -11900
1 3000 0.848896 2546.689
2 8900 0.720625 6413.564
3 4800 0.611736 2936.333
NPV -3.4
Hence IRR of B = 17.80%
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