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9 January, 13:51

Ambrin Corp. expects to receive $2,000 at the end of each year for 10 years. Then the corporation expects to receive $3,500 per year for the following 10 years, at the end of each year. What is the approximate present value of this 20-year cash flow? Use an 8% discount rate.

(A) $2.547

(B) $24,294

(C) $27,870

(D) $32,389

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  1. 9 January, 15:04
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    B) $24294

    Explanation:

    PVIFA = (1 - (1 + r) ^-n) / r

    = (1 - (1 + 8%) ^-10) / 8%

    = 6.710

    PVIF = 0.4632

    present value = (amount expected to receive for the first 10 years) * (PVIFA) + (amount expected to receive for the second 10 years) * (PVIFA) * (PVIF)

    = (2000) * (6.710) + (3500) * (6.710) * (0.463)

    = $24293.6

    ≈ $ 24294
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