A $4\mathrm{.}5\%$ coupon bond has a face value of $$1,000$ and a current yield of $4\mathrm{.}75\%.$ What is the current market price?

Multiple Choice

$$938\mathrm{.}28$

$$947\mathrm{.}37$

$$950\mathrm{.}39$

$$974\mathrm{.}73$

$$975\mathrm{.}18$