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

Calculate the purchase price of the bond.

a$.$

$$2,358\mathrm{.}56$

b$.$

$$2,365\mathrm{.}75$

c$.$

$$872\mathrm{.}59$

d$.$

$$1,493\mathrm{.}16$