Things Get Messi Enterprises is issuing new bonds for a capital budgeting project. The bonds will have $15\mathrm{.}00$ year maturities with a coupon rate of $7\mathrm{.}75\%$ APR with semi$-$annual coupon payments $($assume a face value of $$1,000$ on the bond$).$

The current market rate for similar bonds is $5\mathrm{.}46\%$ APR. The company hopes to raise $$31\mathrm{.}00$ million with the new issue.

Based on the current market rate, what will a new bond sell for?