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3.22 What equal annual payment series is required to repay the following present amounts? (a) $10,000 in 5 years at 5% intere

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Answer #1

(a) A = P[i(1 + i)n / (1 + i)n - 1]

        = 10000[0.05(1 + 0.05)5 / (1 + 0.05)5 - 1]

        = 10000 [0.0638 / 0.2763]

        = $2,309.08

(b) A = P[i(1 + i)n / (1 + i)n - 1]

        = 5500[0.097(1 + 0.097)4 / (1 + 0.097)4 - 1]

        = 5500 [0.1405 / 0.4482]

        = $1,724.12

(c) A = P[i(1 + i)n / (1 + i)n - 1]

        = 8500[0.025(1 + 0.025)3 / (1 + 0.025)3 - 1]

        = 8500 [0.0269 / 0.0769]

        = $2,973.34

(d) A = P[i(1 + i)n / (1 + i)n - 1]

        = 30000[0.085(1 + 0.085)20 / (1 + 0.085)20 - 1]

        = 30000 [0.4345 / 4.1120]

        = $3,170

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