Consider the following bonds: -Bond A: A 2-year zero-coupon bond with a face value of $100 and 6% YTM. -Bond B: A 2-year par-value bond with a face value of $100 and 6% coupon rate. •Bond C: A 2-year par-value bond with a face value of $100 and 7% coupon rate. Suppose the yield curve shifts upwards by one percent. Which bond among bonds A, B, and C will experience the largest percentage price change? Which will have the lowest percentage price change?

This question has TWO parts. Please be sure to scroll down and make sure you answer both parts. Which of the following bonds will be most sensitive to a change in interest rates if all bonds have the same initial yield to maturity? O A. a 10-year bond with a $1,000 face value whose coupon rate is 4.7% APR paid semiannually OB. a 20-year bond with a $1,000 face value whose coupon rate is 8.1% APR paid semiannually OC. a 20-year bond with a $1,000 face value whose coupon rate is 4.7% APR paid semiannually OD. a 10-year bond with a $1,000 face value whose coupon rate is 8.1% APR paid semiannually ... A measurement of the sensitivity of a bond's price to changes in interest rates is known as: (choose the most appropriate answer below) OA. Duration OB. Yield to Maturity (YTM) OC. Repayment Risk OD. Credit Risk

Q2. Duration and Convexity Bond A has face value at $1,000, coupon rate of 6% paid semi-annually, 5 years to maturity, and a yield to maturity of 7%. a. Using the bond pricing formula, calculate the price of the bond and duration. ABC b. Calculate the convexity of the bond. c. Using the calculations from above, what is the "approximated bond price change" using duration and convexity, if the interest rate increases by 1%? d. What is the actual change in the bond price if the interest rate increases by 1%? e. Based on c) and d) above, discuss the roles of duration and convexity in estimating the price change. Which risk measure plays a bigger role? f. Suppose you have two bonds with the same maturity date but one bond has a 10% coupon rate while the other has a 5% coupon rate. Which of these two bonds would have a higher duration?

Suppose a seven-year, $1,000 bond with a 7.7% coupon rate and semiannual coupons is trading with a yield to maturity of 6.51%. a. Is this bond currently trading at a discount, at par, or at a premium? Explain. b. If the yield to maturity of the bond rises to 7.38% (APR with semiannual compounding), what price will the bond trade for? a. Is this bond currently trading at a discount, at par, or at a premium? Explain. (Select the best choice below.) OA. Because the yield to maturity is less than the coupon rate, the bond is trading at a premium. B. Because the yield to maturity is greater than the coupon rate, the bond is trading at a premium. C. Because the yield to maturity is less than the coupon rate, the bond is trading at a discount. OD. Because the yield to maturity is greater than the coupon rate, the bond is trading at par.