A firm is considering two mutually exclusive projects X and

A firm is considering two mutually exclusive projects, X and Y, with the following cash flows: Project X-$1,000 $90 $300 $370 $700 Project Y $1,000 $1,100 $100 $55 The projects are equally risky, and their WACC is 11%. what is the MIRR of the project that maximizes shareholder value? Round your answer to two decimal places. Do not round your intermediate calculations.

Solution

Project X:

NPV = 56.22

MIRR = 12.53% (Use MIRR funciton in Excel)

Project Y:

NPV = 145.31

MIRR = 14.83%

ans: 14.83% since Y adds more value

Discount rate 11.0000%
Cash flows Year Discounted CF= cash flows/(1+rate)^year Cumulative cash flow
              (1,000.00) 0                             (1,000.00)                          (1,000.00)
                    90.000 1                                     81.08                             (918.92)
                 300.000 2                                   243.49                             (675.43)
                 370.000 3                                   270.54                             (404.89)
                 700.000 4                                   461.11                                  56.22
 A firm is considering two mutually exclusive projects, X and Y, with the following cash flows: Project X-$1,000 $90 $300 $370 $700 Project Y $1,000 $1,100 $100

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