A newly issued bond pays its coupons once annually. Its coupon rate is $4\%,$ its maturity is $20$ years, and its yield to maturity is $11\mathrm{.}5\%.$

a$.$ Find the holding$-$period return for a $1-$year investment period if the bond is selling at a yield to maturity of $10\%$ by the end of the year.

$($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

Answer is complete but not entirely correct.

$\backslash$table$[[$Holding$-$period return,$21\mathrm{.}69,\%$