A $$1,500$ bond had a coupon rate of $5\mathrm{.}40\%$ with interest paid semi$-$annually. Andrew purchased this bond when there were $9$ years left to maturity and when the market interest rate was $7\mathrm{.}30\%$ compounded semi$-$annually. He held the bond for $4$ years, then sold it when the market interest rate was $3\mathrm{.}20\%$ compounded semi$-$annually.

Calculate Andrew's selling price.

a$.$

$$1,279\mathrm{.}84$

b$.$

$$1,382\mathrm{.}38$

c$.$

$$1,651\mathrm{.}36$

d$.$

$$371\mathrm{.}53$