Suppose that an analyst needs to value a three$-$year, $4\%$ semiannual coupon payment corporate bond, Bond X$.$ Assume that Bond X is not actively traded and that there are no recent transactions reported for this particular security.

However, there are quoted prices for $4$ corporate bonds that have very similar credit quality:

Bond A: two$-$year, $3\%$ semiannual coupon payment bond trading at YTM of $4\mathrm{.}55\%$

Bond B: two$-$year, $5\%$ semiannual coupon payment bond trading at YTM of $4\mathrm{.}65\%$

Bond C: five$-$year, $2\%$ semiannual coupon payment bond trading at YTM of $5\mathrm{.}62\%$

Bond D: five$-$year, $4\%$ semiannual coupon payment bond trading at YTM of $5\mathrm{.}74\%$

Using matrix pricing, the estimated price of Bond X is closest to:

$$97\mathrm{.}35$

$$99\mathrm{.}21$

$$102\mathrm{.}12$