Assume you have a one$-$year investment horizon and are trying to choose among three bonds. All have the same degree of default risk and mature in $9$ years. The first is a zero$-$coupon bond that pays $$1,000$ at maturity. The second has a $7\mathrm{.}7\%$ coupon rate and pays the $$77$ coupon once per year. The third has a $9\mathrm{.}7\%$ coupon rate and pays the $$97$ coupon once per year. Assume that all bonds are compounded annually.

Required:

a$.$ If all three bonds are now priced to yield $7\mathrm{.}7\%$ to maturity, what are their prices? $($Do not round intermediate calculations. Round your answers to $2$ decimal places.$)$

$\backslash$table$[[,$Zero,$7\mathrm{.}7\%$ Coupon,$9\mathrm{.}7\%$ Coupon$],[$Current prices,,,$]]$

b$.$ If you expect their yields to maturity to be $7\mathrm{.}7\%$ at the beginning of next year, what will their prices be then? $($Do not round intermediate calculations. Round your answers to $2$ decimal places.$)$

$\backslash$table$[[,$Zero,$7\mathrm{.}7\%$ Coupon,$9\mathrm{.}7\%$ Coupon$],[$Price one year from now,,,$]]$

c$.$ What is your rate of return on each bond during the one$-$year holding period? $($Do not round intermediate calculations. Round your answers to $2$ decimal places.$)$

$\backslash$table$[[,7\%7\mathrm{.}7\%7\mathrm{.}7\%9\mathrm{.}7\%7\mathrm{.}7\%9\mathrm{.}7\%7\mathrm{.}7\%$ Coupon,$y.7\%$ Coupon