Answer:
(a) $50,980.35
(b) $5,129.90
(c) $2,400
(d) $50,980.35
(e) $5,129.90
(f) $2,400
Explanation:
A constant payment for a specified period is called annuity. The future value of the annuity can be calculated using a required rate of return.
Formula for Future value of annuity is
F = P * ([1 + I]^N - 1 )/I
P =Payment amount
I = interest rate
N = Number of periods
(a) $1,000 per year for 16 years at 14%
F = $1,000 x ([1 + 14%]^16 - 1 )/14%
F = $50,980.35
(b) $500 per year for 8 years at 7%
F = $500 x ([1 + 7%]^8 - 1 )/7%
F = $5,129.90
(c) $600 per year for 4 years at 0%.
F = $600 x 4
F = $2,400
(d) $1,000 per year for 16 years at 14%
F = $1,000 x ([1 + 14%]^16 - 1 )/14%
F = $50,980.35
(e) $500 per year for 8 years at 7%
F = $500 x ([1 + 7%]^8 - 1 )/7%
F = $5,129.90
(f) $600 per year for 4 years at 0%.
F = $600 x 4
F = $2,400
