$($Bond valuation$)$ At the beginning of the year, you bought a $$1,000$ par value corporate bond with an annual coupon rate of $13$ percent and a maturity date of $12$ years. When you bought the bond, it

had an expected yield to maturity of $15$ percent. Today the bond sells for $$1,000.$

a$.$ What did you pay for the bond? Round to the nearest cent.

b$.$ If you sold the bond at the end of the year, what would be your one$-$period return on the investment? Assume that you did not receive any interest payment during the holding period.