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FitBit, a big player in personal fitness gear, is evaluating a new technology to

ID: 2741279 • Letter: F

Question

FitBit, a big player in personal fitness gear, is evaluating a new technology to provide not only heartrate and blood pressure feedback but extensive feedback on every bite of food eaten and lifestyle choices made. The project is expected to provide after-tax annual cash flows of $600 million for 6 years after the investment is made. A cost $3,300 million in To is expected. The firm's management uses the modified IRR approach. You estimate the project discount rate is 10 percent. What is the project's MIRR? Answer to 1 decimal point (xx.x

Explanation / Answer

Year

Cash flows

FV Factor

Working

Terminal Value

1

600

1.6105

=(1+0.10)^(6-1)

                966.31

2

600

1.4641

=(1+0.10)^(6-2)

                878.46

3

600

1.3310

=(1+0.10)^(6-3)

                798.60

4

600

1.2100

=(1+0.10)^(6-4)

                726.00

5

600

1.1000

=(1+0.10)^(6-5)

                660.00

6

600

1.0000

=(1+0.10)^(6-6)

                600.00

Terminal Value

            4,629.37

MIRR=n Terminal Value of Cash inflows/Present Value of Cash outflows -1

             = 64,629.37/3,300 -1

            = 64,629.37/3,300 -1

             =6 1.402838 -1

                =1.4028381/6-1

                =1.058037993-1

                =0.058037993

                =5.8%

Year

Cash flows

FV Factor

Working

Terminal Value

1

600

1.6105

=(1+0.10)^(6-1)

                966.31

2

600

1.4641

=(1+0.10)^(6-2)

                878.46

3

600

1.3310

=(1+0.10)^(6-3)

                798.60

4

600

1.2100

=(1+0.10)^(6-4)

                726.00

5

600

1.1000

=(1+0.10)^(6-5)

                660.00

6

600

1.0000

=(1+0.10)^(6-6)

                600.00

Terminal Value

            4,629.37