Bond value, interest rate changes, and return You are interested in buying a bond with a par value of $$1,000,$ a coupon rate of $9\%($paid annually$),$ a maturity in $6$ years, and a yield to maturity of $10\%.$

a$.$ What is the bond's market price?

b$.$ Suppose you buy the bond today, hold it a year, just long enough to collect one $$90$ interest payment, and then sell it$.$ When you sell it$,$ the yield to maturity is still $10\%.$ What price do you receive when you sell?

c$.$ Counting both the change in price and the coupon payment that you received, what percentage return did you earn over the year?

d$.$ Assume inst$$ad that when you are ready to sell the bond's yield to maturity has dropped to $9\%.$ What price do you receive and what return do you earn for the year?

a$.$ The market price of the bond today is $ $($Round to the nearest cent.$)$