A $$7000$ bond that pays $9\%$ semi$-$annually is redeemable at par in $10$ years. Calculate the purchase price if it is sold

to yield $7\%$ compounded semi$-$annually $($Purchase price of a bond is equal to the present value of the redemption

price plus the present value of the interest payments$).$

The purchase price is $

$($Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places

as needed.$)$