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Hittle Company is considering two mutually exclusive projects X and Y. The cost

ID: 2732895 • Letter: H

Question

Hittle Company is considering two mutually exclusive projects X and Y. The cost of capital for each project is 10%. The projects’ expected net cash flows are as follows:

                                Year                       Project X              Project Y              

                                0                              -$10,000               -$10,000

                                1                              4,500                     3,500

                                2                              3,000                     3,500

                                3                              3,000                     3500

                               4                              3000                       3500

                               5                              3600                       3500

What are the correct NPVs of projects X and Y, respectively?

$3000.50 (X), $3100 (Y)

$3108.55 (X), $3267.75 (Y)

$7100 (X), $7500(Y)

$3267.75 (X), $3108.55 (Y)

1.

$3000.50 (X), $3100 (Y)

2.

$3108.55 (X), $3267.75 (Y)

3.

$7100 (X), $7500(Y)

4.

$3267.75 (X), $3108.55 (Y)

Explanation / Answer

Project X Project Y NPV calculation   PV factor @10% Cash Flows PV of Cash flows Cash Flows PV of Cash flows Year   Year 0                1.00              (10,000)       (10,000.00)    (10,000) (10,000.00) Year 1              0.909                  4,500            4,090.91         3,500        3,181.82 Year 2              0.826                  3,000            2,479.34         3,500        2,892.56 Year 3              0.751                  3,000            2,253.94         3,500        2,629.60 Year 4              0.683                  3,000            2,049.04         3,500        2,390.55 Year 5              0.621                  3,600            2,235.32         3,500        2,173.22 NPV =sum pf PV of Cash flows $        3,108.55 $   3,267.75 So Option 2 is correct.

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