A machine which costs $100,000 when new, has a lifetime of 15 years and a salvage value of 20% of its original cost. If the interest rate is 10% compounded annually, what is the capital recovery cost?
Capital recover cost
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$F = P(1 + i)^n$
$F = 100,000(1 + 0.10)^{15}$
$F = \$417,724.82$
$R = 417,724.82 - 0.20(100,000)$
$R = \$397,724.82$
$A = \dfrac{Ri}{(1 + i)^n - 1}$
$A = \dfrac{397,724.82(0.10)}{(1 + 0.10)^{15} - 1}$
$A = \$12,518$