Question
Sheila Goodman recently received her MBA from the Harvard Business School. She has joined the family business, Goodman Software Products Inc., as Vice-President of Finance.
Sheila Goodman recently received her MBA from the Harvard Business School. She has joined the family business, Goodman Software Products Inc., as Vice-President of Finance. She believes in adjusting projects for risk. Her father is somewhat skeptical but agrees to go along with her. Her approach is somewhat different than the risk-adjusted discount rate approach, but achieves the same objective. She suggests that the inflows for each year of a project be adjusted downward for lack of certainty and then be discounted back at a risk-free rate. The theory is that the adjustment penalty makes the inflows the equivalent of riskless inflows, and therefore a risk-free rate is justified.
A table showing the possible coefficient of variation for an inflow and the associated adjustment factor is shown next:
Coefficient of Variation | Adjustment Factor | ||||
0 | 0.25 | 0.90 | |||
0.26 | 0.50 | 0.80 | |||
0.51 | 0.75 | 0.70 | |||
0.76 | 1.00 | 0.60 | |||
1.01 | 1.25 | 0.50 | |||
Assume a $160,000 project provides the following inflows with the associated coefficients of variation for each year.
Year | Inflow | Coefficient of Variation | ||||
1 | $ | 30,700 | 0.10 | |||
2 | 50,300 | 0.27 | ||||
3 | 76,900 | 0.42 | ||||
4 | 61,900 | 0.72 | ||||
5 | 66,600 | 1.03 | ||||
Use Appendix B for an approximate answer but calculate your final answer using the formula and financial calculator methods.
a. Fill in the table below: (Do not round intermediate calculations. Round "Adjustment Factor" answers to 2 decimal places and other answers to the nearest whole dollar.)
Year | Adjusted Factor | Adjusted Inflow |
1 | ||
2 | ||
3 | ||
4 | ||
5 |
b. If the risk-free rate is 6 percent, compute the net present value of the adjusted inflows. (Negative amount should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 2 decimal places.)
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