Question

Consider the figures below, where the cash flow in constant (real) dollars (b) is to be converted to actual dollars (a), at a

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Answer #1

Real interest rate = (market rate - inflation) /(1+inflation)

= (0.16-0.04) /(1+0.04)

= 0.1153846

Present value of payments = 1000*(P/A,16%,4) = 1000 * 2.798181 = 2798.18

Constant dollar payment series = 2798.18 * (A/P,11.53846%,4)

= 2798.18 * 0.1153846 * ((1 + 0.1153846 )^4)/((1 + 0.1153846 )^4-1)

= 2798.18 * 0.1153846 * ((1.1153846 )^4)/((1.1153846 )^4-1)

= 2798.18 * 0.326040

= 912.31 ~ 912

option A is correct answer

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