Question

Bob makes his first deposit into an IRA earning compounded annually on his th birthday and his last deposit on his birthday ( equal deposits in all). With no additional deposits, the money in the IRA continues to earn interest compounded annually until Bob retires on his th birthday. How much is in the IRA when Bob retires

Answer 1

Answer:

$187,881.52

Explanation:

The computation is shown below:

The future value would be

= PMT × ((1 + rate of interest)^number of years -1) ÷ (rate of interest)

= $1,500 × ((1 + 0.066)^13 - 1) ÷ (0.066)

= $1,500 × 19.626

= $29,439.14

Now when bob retired, the amount is

= $29,439.14 × (1 + 0.066)^29

= $29,439.14 × 6.383

= $187,881.52