A bond that was first issued exactly two years ago today and now has fifteen years till maturity has a coupon rate of $7\mathrm{.}5\%$ and returns the face value of $$1,000$ at maturity. Now, two years later, the yield to maturity on the bond is $6\mathrm{.}75\%.$ Which of the following comes closest to the price of the bond?

$$1,043$

$$975$

$$1,000$

$$1,069$

$$1,015$