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 $10$ years. The first is a zero$-$coupon bond that pays $$1,000$ at maturity. The second has an $8\%$ coupon rate and pays the $$80$ coupon once per year. The third has a $10\%$ coupon rate and pays the $$100$ coupon once per year. Assume that all bonds are compounded annually.

Required:

a$.$ If all three bonds are now priced to yield $8\%$ to maturity, what are their prices? $($Do not round intermediate calculations. Round your answers to $2$ decimal places.$)$

$\backslash$table$[[,$Zero,$8\%$ Coupon,$10\%$ Coupon$],[$Current prices,vdots,,$]]$

b$.$ If you expect their yields to maturity to be $8\%$ 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,$8\%$ Coupon,$10\%$ Coupon,$],[$Price one year from now,$$200\mathrm{.}25,$$$,1,000\mathrm{.}00,$$$,1,124\mathrm{.}94$