The company has two bonds in their investment portfolio, Bond C and Bond Z. Each bond matures in 4 years, has a face value of $1,000, and has a yield to maturity of 8.2%. Bond C pays an 11.5% annual coupon, while Bond Z is a zero-coupon bond.
Assuming that the yield to maturity of each bond remains at 8.2% over the next 4 years, calculate the price of the bonds at each of the following years to maturity. Explain any observed differences from the pricing calculations of the two bonds.