question archive Robert wants to have an annuity payment of $800, at the end of each six months

Robert wants to have an annuity payment of $800, at the end of each six months

Subject:MathPrice:3.86 Bought3

Robert wants to have an annuity payment of $800, at the end of each six months. Use the appropriate formula to find how much he should deposit (in $) now at 6% interest, compounded semiannually, to yield this payment for 18 years. (Round your answer to the nearest cent.)

 

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Use the PV annuity formula.

 

P = amount to deposit now = ?

A = periodic payment = 800

n = number of periods = 18 x 2 = 36

r = periodic rate = 0.06/2 = 0.03

 

P = A x (1-(1+r)-n) / r

P = 800 x (1-(1+0.03)-36) / 0.03

P = 17465.80