For the nonconventional net cash flow series shown, the external rate of return per year using the MIRR method, with an investment rate of 20% per year and a borrowing rate of 8% per year, is closest to: (choose one)

(a) 10.8%

(b) 12.0%

(c) 14.8%

(d) 16.7%


PW0 = -40,000 – 29,000(P/F,8%,2)
= -40,000 – 29,000(0.8573)
= $-64,862

FW4 = 13,000(F/P,20%,3) + 25,000(F/P,20%,1) + 50,000
= 13,000(1.7280) + 25,000(1.2000) + 50,000
= $102,464

-64,862(F/P,i',4) + 102,464 = 0
-64,862(1 + i')4 + 102,464 = 0

i' = (102,464/64,862)1/4 – 1
i' = 0.121 (12.1% per year)

Answer is (b) 12.0%

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