Question: Risk adjusted rates of return using CAPM - Centennial Catering, Inc. is considering two mutually exclusive investments. The company wishes to use a CAPM type

Risk adjusted rates of return using CAPM - Centennial 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 121% and they observe that the current risk free rate of return is 7.4%. Cash flows associated with the two projects are shown in the following table:

Project X Project Y
Initial investment (CF0) $66,000 $80,000
Year (t) Cash Inflows (CFt)
1 $32,000 $20,000
2 $32,000 $28,000
3 $32,000 $37,000
4 $32,000 $45,000

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 1.18 and project Y has an RADR factor of 1.38. The RADR factors are similar to project betas (Hint: Use the following equation to calculate the required project return for each: r = RF + b x (rm -Rf)).

b. discuss your findings in part (a) and recommend the preferred project.

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