$1.$ Monthly deposits of $$480$ were made at the end of each month for eight years. If interest is $4\mathrm{.}5\%$ compounded semi$-$annually, what amount can be withdrawn immediately after the last deposit? $2.$ A loan was repaid in five years by end$-$of$-$quarter payments of $$1200$ at $9\mathrm{.}5\%$ compounded semi$-$annually. How much interest was paid? $3.$ A loan of $$6000$ was repaid by quarterly payments of $$450.$ If interest was $12\%$ compounded monthly, how long did it take to pay back the loan? $4.$ A mortgage of $$95000$ is to be amortized by monthly payments over $25$ years. If the payments are made at the end of each month and interest is $8\mathrm{.}5\%$ compounded semi$-$annually, what is the size of the monthly payments? $5.$ Leo invested $$67250$ into an annuity earning $4\mathrm{.}4\%$ compounded semi$-$annually. How much is he able to withdraw from the annuity at the end of every three months for seven years? $6.$ To support his handicapped niece, Tony made payments of $$1800$ into a fund at the beginning of every $3$ months. If the fund earns interest at $5\mathrm{.}24\%$ compounded quarterly, how much will the balance in the fund be after $18$ years? $7.$ Find the present value of payments of $$960$ made at the beginning of every month for seven years if money is worth $6\%$ compounded monthly. $8.$ Ken acquired his sister$$s share of their business by agreeing to make payments of $$4000$ at the end of each year for $12$ years. If the payments are deferred for $3$ years and money is worth $5\%$ compounded quarterly, what is the cash value of his sister$$s share of the business? $9.$ New Brunswick Bank pays a quarterly dividend of $$0\mathrm{.}75$ per share. If comparable investments yield $4\mathrm{.}16\%$ compounded monthly, what is the market value of the shares? $(3$ marks$)10.$ Mr$.$ Smart wants to set up an annual scholarship by donating $$50000$ to the scholarship fund of his university. If the first payment is to be made in $5$ years and interest is $4\%$ compounded annually, what is the amount of the annual scholarship?