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Part A is:

What is the conventional payback period for Option A? Answer -

What is the conventional payback period for Option B? Answer -

Part B is:

What is the Present Worth of Option A? Answer -

What is the Present Worth of Option B? Answer -

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You are considering two investment options. In option A, you have to invest S5,500 now and $700 three years from now. In option B, you have to invest $3,600 now, S1,500 a year from now, and $1,000 three years from now. In both options, you will receive four annual payments of $1,600 each. (You will get the first payment a year from now.) Which of these options would you choose based on (a the conventional payback criterion, and (b) the present worth criterion, assuming 12% interest? Assume that all cash flows occur at the end of a year Click the icon to view the interest factors for discrete compounding when ,-12% per year.More Info Single Payment Equal Payment Series Compound Amount Factor (FIP i, N) 1.1200 Compound Sinking Capital Fund Factor Worth Factor Factor Present Recovery Present Worth Factor (P/FI, N) 0.8929 0.7972 0.7118 0.6355 0.5674 Amount Factor (FIA, I, N) (A/FI,N)(P/A, i, N) (A/PR i, N) 2 3 4 1.2544 1.4049 1.5735 1.7623 1.0000 2.1200 3.3744 4.7793 6.3528 1.0000 0.4717 0.2963 0.2092 0.1574 0.8929 1.6901 2.4018 3.0373 3.6048 1.1200 0.5917 0.4163 0.3292 0.2774 1.9738 2.2107 2.4760 2.7731 3.1058 8.1152 10.0890 12.2997 14.7757 17.5487 0.1232 0.0991 0.0813 0.0677 0.0570 6 0.5066 0.4523 0.4039 0.3606 0.3220 4.1114 4.5638 4.9676 5.3282 5.6502 0.2432 0.2191 0.2013 0.1877 0.1770 8 10

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Answer #1

Payback period

option A Option B cash flow Cumulative Cash Flow Cumulative yr 0 1 5500 1600 1600 900 1600 5500 3900 2300 1400 200 3600 100 1

Determine the PW

PWA = -5500 +1600(P/A,12%,4) -700(P/F,12%,3)

PWA = -5500 + 1600* 3.0373 -700* 0.6355

Present worth of A = - $ 1085

Now, PWB= -3600 +1600*3.0373 -1500*0.8929 -1000*0.7118

PWB = - $ 972.46

Since PW of B is less thus select B.

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