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The Following Data Have Been Gathered for a Capital Investment

Question 106

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The following data have been gathered for a capital investment decision. The amounts relate to a 14 percent discount factor.
 End of Period  Present Value of $1 Present Value of an  Annuity of $11.8772.8771.6463.7692.3214.6752.9135.5923.4326.5193.888\begin{array}{ccc}\text { End of Period } & \text { Present Value of } \$ \mathbf{1} & \begin{array}{c}\text { Present Value of an } \\\text { Annuity of } \$ \mathbf{1}\end{array} \\1 & & .877 \\2 & .877 & 1.646 \\3 & .769 & 2.321 \\4 & .675 & 2.913 \\5 & .592 & 3.432 \\6 & .519 & 3.888\end{array}
a. Compute the present value of the following cash flows. Use a discount rate of 14 percent.
 Year 1 $40,000 Year 2 60,000 Year 3 50,000 Year 4 50,000 Year 5 40,000\begin{array} { l r } \text { Year 1 } & \$ 40,000 \\\text { Year 2 } & 60,000 \\\text { Year 3 } & 50,000 \\\text { Year 4 } & 50,000 \\\text { Year 5 } & 40,000\end{array}
b. What would have been the present value of the cash flows if they were received in equal installments over the five-year period at the same discount rate?
c. If the answers to parts (a) and (b) differ, explain the reason(s) why.

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a.
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b. $240,000 ÷ 5 = $48,000 per year...

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