A $$2,500$ bond had a coupon rate of $6\mathrm{.}60\%$ with interest paid semi$-$annually. Cody purchased this bond when there were $7$ years left to maturity and when the market interest rate was $8\mathrm{.}10\%$ compounded semi$-$annually. He held the bond for $3$ years, then sold it when the market interest rate was $3\mathrm{.}50\%$ compounded semi$-$annually.

Calculate the purchase price of the bond.

a$.$

$$2,292\mathrm{.}26$

b$.$

$$2,302\mathrm{.}59$

c$.$

$$1,434\mathrm{.}01$

d$.$

$$868\mathrm{.}59$