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10) What future worth is equivalent to the following cash flow profile if i = 10%? $500 $400 $300 $200 $100 0 1 2 3 4 5 6 a.
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Answer #1

Question 10

Cash flow in year 2 = $500

Cash flow in year 3 = $400

Cash flow in year 4 = $300

cash flow in year 5 = $200

Cash flow in year 6 = $100

Interest rate = 10%

Calculate the future worth of the cash flow -

Future worth = $500(F/P, 10%, 4) + $400(F/P, 10%, 3) + $300(F/P, 10%, 2) + $200(F/P, 10%, 1) + $100

Future worth = [$500 * 1.4641] + [$400 * 1.3310] + [$300 * 1.2100] + [$200 * 1.1000] + $100

Future worth = $732.05 + $532.4 + $363 + $220 + $100

Future worth = $1,947.45

Thus,

The future worth of the given cash flow profile is equivalent to $1,947.45

Hence, the correct answer is the option (b)

Note -: As per the Chegg Answering Policy, when more than 1 question is posted then, in that case, only 1st posted question is answered with complete explanation.

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