Beverley intends to retire in $7\mathrm{.}25$ years and would like to receive $$2700\mathrm{.}00$ every month for $12\mathrm{.}25$ years starting on the date of her retirement. How much must she deposit in an account today if interest is $11\mathrm{.}36\%$ compounded annually?

Fraser deposits $$790\mathrm{.}00$ at the beginning of every three months. He wants to build up his account so that he can withdraw $$1550\mathrm{.}00$ every three months starting three months after the last deposit. If he wants to make the withdrawals for $16$ years and interest is $6\mathrm{.}64\%$ compounded quarterly, for how long must Fraser make the quarterly deposits?

What sum of money must be depusited in a trust fund to provide a scholarship of $$630\mathrm{.}00$ payable at the end of each month if interest is $7\mathrm{.}8\%$ compounded monthly?