Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Andrea Prosper, president of Pearl Manufacturing is trying to select the best al

ID: 2715352 • Letter: A

Question

Andrea Prosper, president of Pearl Manufacturing is trying to select the best alternative from four potential investemnts. Each investment involves an initial outlay of $110,000. Their cash flows follow: Year Northeast Southeast Northwest Southwest 1 $ 20,000 $ 60,000 $ 30,000 $ - 2 25,000 35,000 $ 30,000 - 3 25,000 30,000 $ 30,000 45,000 4 45,000 - $ 30,000 65,000 5 55,000 - $ 30,000 85,000 Evaluate and rank each alternative based on a) payback period,

b) net present value (use an 11% discount rate), and

c) internal rate of return. Be sure to show your work in an excel file!

a) What is the Payback Period for for each alternative? Northeast Southeast Northwest Southwest Which alternative would you choose using the payback period?

b) What is the Net Present Value for each project using a 11% discount rate? Northeast Southeast Northwest Southwest Which alternative would you choose using the NPV using a 11% discount rate?

c) What is the IRR for each Project? Northeast Southeast Northwest Southwest Which alternative would you choose using the IRR?

Explanation / Answer

Year Discount factor @11% Northeast PV of Cash Flows Southeast PV of Cash Flows Northwest PV of Cash Flows Southwest PV of Cash Flows 0 1       (110,000)                   (110,000)           (110,000)           (110,000)     (110,000)     (110,000)      (110,000) (110,000) 1 0.901            20,000                       18,018                60,000                54,054         30,000         27,027                    -                   -   2 0.812            25,000                       20,291                35,000                28,407         30,000         24,349                    -                   -   3 0.731            25,000                       18,280                30,000                21,936         30,000         21,936           45,000        32,904 4 0.659            45,000                       29,643              (30,000)              (19,762)         65,000         42,818           55,000        36,230 Payback Years                 3.88                     2.50              3.30 payback not heppaning Ranking Payback years                       3                           1                    2                      4 NPV Northeast                     (23,769) Southeast              (25,365) Northwest            6,129 Southwest     (40,866) Ranking NPV                                  2                           3                    1                  4 Year Discount factor @1.6% Northeast PV of Cash Flows 0 1       (110,000)                   (110,000) 1 0.984            20,000                       19,685 2 0.969            25,000                       24,219 3 0.953            25,000                       23,837 4 0.938            45,000                       42,232 NPV Northeast                             (27) IRR of Northeast = 1.6% Year Discount factor @-14.5%% Southeast PV of Cash Flows 0 1       (110,000)                   (110,000) 1 1.170            60,000                       70,175 2 1.368            35,000                       47,878 3 1.600            30,000                       47,998 4 1.871          (30,000)                     (56,138) NPV Southeast                             (87) IRR of Southeast = -14.5% Year Discount factor @ 13.3% Northwest PV of Cash Flows 0 1       (110,000)                   (110,000) 1 0.883            30,000                       26,478 2 0.779            30,000                       23,370 3 0.688            30,000                       20,627 4 0.607            65,000                       39,445 NPV Northwest                             (80) IRR for Northeast is 13.3% Year Discount factor @ -2.65% Southwest PV of Cash Flows 0 1       (110,000)                   (110,000) 1 1.027                     -                                   -   2 1.055                     -                                   -   3 1.084            45,000                       48,776 4 1.113            55,000                       61,238 NPV Southwest                                14 IRR IRR Ranking Northeast 1.60%                       2 Southeast -14.50%                       4 Northwest 13.30%                       1 Southwest -2.65%                       3 Alternative to choose on various parameters Payback NPV IRR Southeast Northwest Northwest