How did they get the $46.00 for the CPN?

Suppose a 10 -year, $1,000 bond with an 9.2% coupon rate and semiannual coupons is trading for $1,038.00. a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? b. If the bond's yield to maturity changes to 10.5% APR, what will be the bond's price? 10 Inna the Dona s yieia to maturity, you use tne tollowing equation: P=yCPN(1(1+y)n1)+(1+y)nFV where P is the bond's price, CPN is the coupon payment, y is the semiannual rate, FV is the face value, and n is the number of periods. You need to solve for y and multiply it by two to obtain the yiel maturity expressed as an APR with semi-annual compounding. Using the equation above to find the bond's yield to maturity: $1,038.00=y$46.00(1(1+y)201)+(1+y)20$1,000 v=0.04313