Question $4$: $[7$ marks$]$ Deposits of $$1,000$ are made into a fund at the beginning of each year for the next

$20$ years. At the end of the ${20}^{th}$ year, annual withdrawals from the fund commence and continue

forever. If the interest rate is $i^{(1)}=6\mathrm{.}5\%$ per year, how large are the withdrawals?