Question
Risk-adjusted rates of return using CAPMCentennial Catering, Inc., is considering two mutually exclusive investments. The company wishes to use a CAPM-type risk-adjusted discount rate (RADR)
Risk-adjusted rates of return using CAPMCentennial Catering, Inc., is considering two mutually exclusive investments. The company wishes to use a CAPM-type risk-adjusted discount rate (RADR) in its analysis. Centennial's managers believe that the appropriate market rate of return is
11.8%,
and they observe that the current risk-free rate of return is
6.6%.
Cash flows associated with the two projects are shown in the following table.(Click on the icon located on the top-right corner of the data table below in order to copy its contents into a spreadsheet.)
Project X | Project Y |
| |
Initial investment (CF0) | $74,000 | $84,000 | |
Year (t ) | Cash inflows (CFt) | ||
1 | $32,000 | $26,000 | |
2 | 32,000 | 31,000 | |
3 | 32,000 | 36,000 | |
4 | 32,000 | 42,000 |
a. Use a risk-adjusted discount rate approach to calculate the net present value of each project, given that project X has an RADR factor of
1.24
and project Y has an RADR factor of
1.41.
The RADR factors are similar to project betas.
(Hint:
Use the following equation to calculate the required project return for each:
r=RF+brmRF.)
b. Discuss your findings in part
(a),
and recommend the preferred project.
Question content area bottom
Part 1
a. The risk-adjusted discount rate for project X will be
enter your response here%.
(Round to two decimal places.)
Part 2
The risk-adjusted discount rate for project Y will be
enter your response here%.
(Round to two decimal places.)
Part 3
The net present value for project X is
$enter your response here.
(Round to the nearest cent.)
Part 4
The net present value for project Y is
$enter your response here.
(Round to the nearest cent.)
Part 5
b. Discuss your findings in part
(a),
and recommend the preferred project. (Select from the drop-down menus.)The RADR approach prefers project
X
Y
over project
Y
X
. The RADR approach combines the risk adjustment and the time adjustment in a single value. The RADR approach is most often used in business.
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