An investor purchased a $1,000-$par $17-$year bond with $4\%$ annual coupons paid semiannually and a redemption value of $1,150.$ The purchase price is $928\mathrm{.}32$ at an annual nominal yield rate of j$\%$ compounded semiannually. For the same price, a different investor purchased a $1,000-$par $15-$year bond with r$\%$ annual coupons paid semiannually, a red emption value of $1,020,$ and at an annual nominal yield rate of $($j$+1)\%$ compounded semiannually. Compute r