$1\mathrm{.}3$ An investor deposits R$50000$ into an account which offers $7\%$ per annum interest compounded monthly. Determine the value of the investment at the end of $8$ years.

$1\mathrm{.}4$ Nedbank Investment offers a savings account which requires a minimum investment of R$12000.$ The account offers an interest rate of $6\%$ per year which is compounded quarterly. Determine the annual effective interest rate for this account.

$1\mathrm{.}5$ You invest R$20000$ at the beginning of each year into a savings account yielding a $10\%$ per annum interest compounded annually. Determine the future value of the investment at the end of $5$ years $($annuity due$).$

$1\mathrm{.}6$ You invest R$20000$ at the end of each year into a savings account yielding a $10\%$ per annum interest compounded annually. Determine the future value of the investment at the end of $5$ years $($ordinary annuity$).$