Seven years ago the Davidson, Inc. issued $20-$year bonds with an $11\%$ annual coupon rate at their $$1,000$ par value. The bonds had a $7\mathrm{.}5\%$ call premium or $$1075(1000*1\mathrm{.}075),$ with $5$ years of call protection. Today Davidson called the bonds. Compute the realized rate of return for an investor who purchased the bonds when they were issued and held them until they were called$($the YTC rate$).$Assume interest is paid semi$-$annually. Once you have the rate, calculate the selling price.