Suppose you buy a bond with a coupon of $7\mathrm{.}4$ percent today for $$1,150.$ The bond has $11$ years to maturity. Assume interest payments are reinvested at the original YTM$.$

a$.$ What rate of return do you expect to earn on your investment? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to $2$ decimal places.

Rate of return

b$.$ Two years from now, the YTM on your bond has increased by $2$ percent, and you decide to sell. What price will your bond sell for? Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.