Problem $6-16$ Bond Returns $($LO$2,3)$

A bond has $10$ years until maturity, a coupon rate of $7\mathrm{.}7\%,$ and sells for $$1,130.$ Interest is paid annually. $($Assume a face value of $$1,000.)$

a$.$ If the bond has a yield to maturity of $10\mathrm{.}3\%1$ year from now, what will its price be at that time?

Note: Do not round intermediate calculations. Round your answer to nearest whole number.

Price

b$.$ What will be the rate of return on the bond?

Note: Do not round intermediate calculations. Enter your answer as a percent rounded to $2$ decimal places. Negative amount should be indicated by a minus sign.

Rate of return

$6$

c$.$ If the inflation rate during the year is $3\%,$ what is the real rate of return on the bond?

Note: Do not round intermediate calculations. Enter your answer as a percent rounded to $2$ decimal places. Negative amount should be indicated by a minus sign.