A bond that has a face value of $$2,000$ and coupon rate of $3\mathrm{.}20\%$ payable semi$-$annually

was redeemable on July $1,2021.$ Calculate the purchase price of the bond on February

$10,2015$ when the yield was $3\mathrm{.}70\%$ compounded semi$-$annually.

Round to the nearest cent