BOND VALUATION 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 $8\mathrm{.}2\%.$ Bond C pays an $11\mathrm{.}5\%$ annual coupon, while Bond $Z$ is a zero coupon bond.

a$.$ Assuming that the yield to maturity of each bond remains at $8\mathrm{.}2\%$ over the next $4$ years, calculate the price of the bonds at each of the following years to maturity:

$\backslash$table$[[$Years to Maturity$]]$