A bank makes a package of three loans to a small business. Find the bank's annual effective yield on each of these loans individually. $($Round your answers to three decimal places.$)$

$($a$)$$$110,000$ amortized monthly for ten years at a nominal discount rate of $6\mathrm{.}8\%$ convertible monthly. $($b$)$$$100,000$ to be repaid by monthly sinking fund payments for ten years where interest is assessed at a rate of $5\mathrm{.}4\%$ nominal convertible monthly and the sinking fund earns $5\%$ nominal interest convertible monthly. The bank receives the sinking fund deposits. $($c$)$$$200,000$ to be repaid with interest at the end of ten years with an effective rate of discount of $8\mathrm{.}1\%$ throughout the ten years. $($d$)$Find the bank's annual effective yield on the package of loans over the ten$-$year period. $($Round your answer to three decimal places.$)$ ANSWERS: $($a$)7\mathrm{.}057\%($b$)5\mathrm{.}826\%($c$)8\mathrm{.}814\%($d$)8\mathrm{.}096\%$ please show work without using excel