Question

Please submit your work in an Excel file and show all of your calculations. No credit...

Please submit your work in an Excel file and show all of your calculations. No credit will be earned if you just provide a solution with the calculations to justify how you arrived at the solution.

Project A has an initial net investment at time period zero of ($100,000), with $21,000 positive cash flows for the next 7 years. Project A has a cost of capital of 7% APR.

Project B has an initial net investment at time period zero of ($70,000), with the following cash flows:

C01: $11,000

C02: $16,000

C03: $21,000

C04: $26,000

C05: $31,000.

Project B’s cost of capital is 7% APR.

Please provide the NPV, the IRR, the regular payback period, the discounted payback period, and the Modified Internal Rate of Return for project A versus project B.

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Answer #1

Answer:

NPV, the IRR, the regular payback period, the discounted payback period, and the Modified Internal Rate of Return for project A versus project B are as follows:

Project A Project B NPV (at APRs 796) IRR Regular payback period Discounted payback period Modified Internal Rate of Return $13,175.08 $13,335.50 10.68%) 12.80% 3.85 4.40 4.76 5.99 8.91% 10.30%)

Project B is better under all criteria.

Calculations are as follows:

Project A Year Initial Investment Operating Cash flows Cash flows Cumulative cash flows PV factor at 796 Discounted cash flows Cumulative discounted cash flows NPV (at APR-7% IRR Regular payback period Discounted payback period Modified Internal Rate of Return 0 4 6 ($100,000 $21,000$21,000 $21,000 $21,000 $21,000 $21,000 $21,000 $100,000) $21,000 $21,000 $21,000$21,000 $21,000 $21,000 $21,000 ($100,000)($79,000) ($58,000) ($37,000) ($16,000)$5,000$26,000 $47,000 0.93458 0.87344 0.816300.762900.71299 0.66634 0.62275 ($100,000)$19,626 $18,342 $17,142 $16,021 $14,973 $13,993 $13,078 ($100,000)($80,374) ($62,032) ($44,889) ($28,869) ($13,896) $97 $13,175 $13,175.08 10.68% 4.76 Years 5.99 Years 8.91% Project B Year Initial Investment Operating Cash flows Cash flows Cumulative cash flows PV factor at 796 Discounted cash flows Cumulative discounted cash flows NPV (at APR-7% 0 4 $70,000 $11,000 $16,000 $11,000 $16,000 $21,000 $26,000 $31,000 $21,000 $26,000 $31,000 $70,000 $)(S) ($43,000) (S22,00)S4,000$35,000 70,000 1 59,000 0.93458 0.87344 0.816300.762900.71299 ($70,000)$10,280 $13,975 $17,142 $19,835 $22,103 2)($8,767)$13,335 $70,000) (559,720) ($45,745) ($28,60 $13.335.50 12.80% Regular payback period Discounted payback perioc Modified Internal Rate of Return 3.85 Years 4.40 Years 10.80%

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