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 | % | |
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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