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. 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 $200,000 project provides the following inflows with the associated coefficients of variation for each year.
  

Year	Inflow		Coefficient of Variation
1	$	34,700			0.13
2		55,300			0.21
3		70,100			0.49
4		60,200			0.79
5		68,000			1.11

  
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.)
  

  
b-1. If the risk-free rate is 4 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.)
  

  
b-2. Should this project be accepted?
  

• Yes

• No

Answer 1

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