Sheila Goodman recently received her MBA from the Harvard Business School. She has joined the family...

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Finance

Sheila Goodman recently received her MBA from the HarvardBusiness School. She has joined the family business, GoodmanSoftware Products Inc., as Vice-President of Finance. She believesin adjusting projects for risk. Her father is somewhat skepticalbut agrees to go along with her. Her approach is somewhat differentthan the risk-adjusted discount rate approach, but achieves thesame objective. She suggests that the inflows for each year of aproject be adjusted downward for lack of certainty and then bediscounted back at a risk-free rate. The theory is that theadjustment penalty makes the inflows the equivalent of risklessinflows, and therefore a risk-free rate is justified.

A table showing the possible coefficient of variation for aninflow and the associated adjustment factor is shown next:
  

Coefficient of
Variation
Adjustment
Factor
0?.25.90
.26?.50.80
.51?.75.70
.76?1.00.60
1.01?1.25.50


Assume a $125,000 project provides the following inflows with theassociated coefficients of variation for each year.
  

YearInflowCoefficient of Variation
1$38,700.15
251,200.23
378,200.48
458,900.75
566,5001.05

  
Use Appendix B for an approximate answer but calculate your finalanswer using the formula and financial calculator methods.

a. Fill in the table below: (Do not roundintermediate calculations. Round your dollar answers to the nearestwhole dollar.)

Year Adjustment Factor Adjusted Inflow

1

2

3

4

5


  
b-1. If the risk-free rate is 6 percent, computethe net present value of the adjusted inflows. (Negativeamount should be indicated by a minus sign. Do notround intermediate calculations and round your answer to 2 decimalplaces.)
  


  
b-2. Should this project be accepted?
  

No
Yes

Answer & Explanation Solved by verified expert
4.1 Ratings (841 Votes)

a.
Year Inflow Coefficient of variation Adjustment factor Adjusted inflow (Inflow*Adjustment factor)
1 $38,700 0.15 0.9 $34,830
2 $51,200 0.23 0.9 $46,080
3 $78,200 0.48 0.8 $62,560
4 $58,900 0.75 0.7 $41,230
5 $66,500 1.05 0.5 $33,250
Explanation: Look for coefficient of variation in the coefficient of variation and adjustment factor table given and find the adjustment factor based on the range of coefficient of variation
b-1
Year Adjusted inflow Discount factor @ 6% Present value
1 34830 0.94340 $32,858.49
2 46080 0.89000 $41,011.04
3 62560 0.83962 $52,526.58
4 41230 0.79209 $32,658.02
5 33250 0.74726 $24,846.33
Present value of cash inflows $183,900.46
Less: Present value of cash outflows -$125,000.00
Net Present value $58,900.46
b-2.
Yes, since the NPV is positive, the project should be accepted.

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Transcribed Image Text

Sheila Goodman recently received her MBA from the HarvardBusiness School. She has joined the family business, GoodmanSoftware Products Inc., as Vice-President of Finance. She believesin adjusting projects for risk. Her father is somewhat skepticalbut agrees to go along with her. Her approach is somewhat differentthan the risk-adjusted discount rate approach, but achieves thesame objective. She suggests that the inflows for each year of aproject be adjusted downward for lack of certainty and then bediscounted back at a risk-free rate. The theory is that theadjustment penalty makes the inflows the equivalent of risklessinflows, and therefore a risk-free rate is justified.A table showing the possible coefficient of variation for aninflow and the associated adjustment factor is shown next:  Coefficient ofVariationAdjustmentFactor0?.25.90.26?.50.80.51?.75.70.76?1.00.601.01?1.25.50Assume a $125,000 project provides the following inflows with theassociated coefficients of variation for each year.  YearInflowCoefficient of Variation1$38,700.15251,200.23378,200.48458,900.75566,5001.05  Use Appendix B for an approximate answer but calculate your finalanswer using the formula and financial calculator methods.a. Fill in the table below: (Do not roundintermediate calculations. Round your dollar answers to the nearestwhole dollar.)Year Adjustment Factor Adjusted Inflow12345  b-1. If the risk-free rate is 6 percent, computethe net present value of the adjusted inflows. (Negativeamount should be indicated by a minus sign. Do notround intermediate calculations and round your answer to 2 decimalplaces.)    b-2. Should this project be accepted?  NoYes

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