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1. Investments A and B, suppose that each has a cost of capital of 10%. How...

1. Investments A and B, suppose that each has a cost of capital of 10%. How long does it take for each investment’s discounted cash flows to pay back its $1,000,000 investment?

Year Investment A Investment B
2001 $400,000

$100,000

2002 400,000 100,000
2003 400,000 100,000
2004 400,000 100,000
2005 400,000 100,000
0 0
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Answer #1

Investment A = 3.02

Investment B = Indeterminate

Year Investment A DCF Cumulative DCF Investment B DCF Cumulative DCF
0 -1000000 -1000000.00 -1000000.00 -1000000 -1000000.00 -1000000.00
1 $400,000 363636.36 -636363.64 $100,000 90909.09 -909090.91
2 400,000 330578.51 -305785.12 100,000 82644.63 -826446.28
3 400,000 300525.92 -5259.20 100,000 75131.48 -751314.80
4 400,000 273205.38 267946.18 100,000 68301.35 -683013.46
5 400,000 248368.53 516314.71 100,000 62092.13 -620921.32

Discounted Payback = Year in which Discounted Cumulative CF is last negative -(Last negative discounted cumulative CF/ CF of next year)

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