Bob makes his first $$1,050$ deposit into an IRA earning $7\mathrm{.}5\%$ compounded annually on the day he turns $28$ and his last $$1,050$ deposit on the day he turns

$52(25$ equal deposits in all$).$ With no additional deposits, the money in the IRA continues to earn $7\mathrm{.}5\%$ interest compounded annually until Bob retires on his

$65$ th birthday. How much is the IRA worth when Bob retires?

Value of the IRA on Bob's $65$ th birthday: $