1. On June 30, 2007, a 30 year bond (maturing on June 30, 2037) with a coupon rate of 5.0%, annual coupons and a face value of $100 was trading at a yield to maturity of 5.125%.
(a) What was the price of the bond on June 30, 2007?
On June 30, 2016, the same bond (maturing on June 30, 2037) was now trading at a yield to maturity of 2.21%.
(b) What was the price of the bond on June 30, 2016?
(c) If you bought the bond on June 30, 2007, and sold it after the receiving the coupon on June 30, 2016, what annual rate of return would you receive on this investment? How does your realized rate of return compare to the yield to maturity when you first purchased the bond?
2. On February 15, 2014, a 10 year bond (maturing on February 15, 2024) with a coupon rate of 2.25%, semiannual coupons, and a face value of $100 was trading at a yield to maturity of 2.75%.
(a) What was the price of the bond on February 15, 2014?
On August 15, 2016, the same bond (maturing on February 15, 2024) was now trading at a yield to maturity of 1.57%.
(b) What was the price of the bond on August 15, 2016?
(c) If you bought the bond on February 15, 2014, and sold it after the receiving the coupons through and including on August 15, 2016, what annual rate of return (APR) would you receive on this investment? How does your realized rate of return compare to the yield to maturity when you first purchased the bond?