Question

Annual cash flows from two competing investment opportunities are given. Each investment opportunity will require the same initial investment. LOADING...​(Click the icon to view the competing investment​ opportunities.) LOADING...​(Click the icon to view the Present Value of​ $1 table.) LOADING...​(Click the icon to view the Present Value of Annuity of​ $1 table.) Requirement 1. Assuming a 14​% interest​ rate, which investment opportunity would you​ choose? Begin by computing the present value of each investment opportunity. ​(Assume that the annual cash flows occur at the end of each year. If using present value​ tables, use factor amounts rounded to three decimal​ places, X.XXX. Round intermediary computations and your final answer to the nearest whole​ dollar.) The present value of investment opportunity A is $ and the present value of investment opportunity B is $ . Investment opportunity ▼ B A should be chosen because the present value of cash flows is ▼ higher lower than the present value of investment opportunity ▼ A B

Data Table Investment Year A 1 8,000 $ 13,000 2 10,000 13,000 13,000 21,000 3 39,000 39,000 $ Print Done E

X ii Present Value of $1 Present Value of $1 8% Periods 10% 4% 5% 6% 7% 12% 14% 16% 0.962 0.943 0.909 0.877 0.935 0.873 1 0.9

Present Value of Annuity of $1 Present Value of Ordinary Annuity of $1 7% Periods 4% 5% 6% 8% 10% 12% 14% 16% 0.943 0.909 1.7

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Answer #1

Investment A: Annual Cash Flows: $ 8000, $ 10000, $ 21000, Discount Rate = 14 %

Present Worth = 8000 / (1.14) + 10000 / (1.14)^(2) + 21000 / (1.14)^(3) = $ 28886.62

Investment B: Annual Cash Flows: $ 13000, Discount Rate = 14 %

Present Worth = 13000 x (1/0.14) x [1-{1/(1.14)^(3)}] = $ 30181.22

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