The Big Ben Company has issued bonds which now have 15 years to maturity. The bonds have a par value (i.e. face value) of $1,000, coupon rate of 9% and the coupon payment is made annually.
Calculate the value of the bond today under the following scenarios:
The Yield to Maturity is 9%
The Yield to Maturity is 12%
The Yield to Maturity is 5%
What is the relationship between the value of the bond today and the Yield to Maturity?