Calculate the future value of an annuity of $10,000$ dollars each year for $10$ years, at $6\%$ annual rate. The payments are paid at the beginning of each year, and the future value is calculated as of the end of the tenth year. Your answer should be the same as the answer of Fig. $2\mathrm{.}3\mathrm{.}3,$ Chapter $2,$ although the approach was different.

Calculate the future value of an annuity of $$500$ each month for thirty years, earning a rate of $6\%$ per annum $($i$.$e$.,$ a $0\mathrm{.}5\%$ monthly rate$).$ The payments are at the beginning of each month and the future value will be paid back at the end of thirtieth year.