The YTM on a bond is the interest rate you earn on your investment if interest rates don$$t change. If you actually sell the bond before it matures, your realized return is known as the holding period yield $($HPY$).$

a$.$ Suppose that today you buy an annual coupon bond with a coupon rate of $7$ percent for $$1,050.$ The bond has $17$ years to maturity and a par value of $$1,000.$

What rate of return do you expect to earn on your investment? Two years from now, the YTM on your bond has declined by one percentage point, and you decide to sell. What price will your bond sell for? What is the HPY on your investment?