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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 11.7%, and they observe that the current risk-free rate of return is 6.9%. Cash flows associated with the two projects are shown in the following table.

Project X

Project Y

Initial investment

(CF0)

$75,000

$78,000

Year

(t )

Cash inflows

(CFt)

1

$33,000

$17,000

2

33,000

35,000

3

33,000

40,000

4

33,000

43,000

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 1.19 and project Y has an RADR factor of 1.43. 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.

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