An investor has two bonds in her portfolio, Bond $C$ and Bond $Z.$ Each bond matures in $4$ years, has a face value of $$1,000,$ and has a yield to maturity of $8\mathrm{.}7\%.$ Bond $C$ pays a $12\mathrm{.}5\%$ annual coupon, while Bond $Z$ is a zero coupon bond.

a$.$ Assuming that the yield to maturity of each bond remains at $8\mathrm{.}7\%$ over the next $4$ years, calculate the price of the bonds at each of the following years to maturity. Round your answers to the nearest cent.

Years to Maturity Price of Bond $C$ Price of Bond $Z$

$\backslash$table$[[4,$$$,$$