You buy a $20-$year bond with a coupon rate of $9\mathrm{.}6\%$ that has a yield to maturity of $10\mathrm{.}5\%.($Assume a face value of $$1,000$ and semiannual coupon payments.$)$ Six months later, the yield to maturity is $11\mathrm{.}5\%.$ What is your return over the $6$ months? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to $2$ decimal places. Negative amount should be indicated by a minus sign.

Rate of returnm