Yields on short-term bonds tend to be more volatile than yields on long-term bonds. Suppose that you have estimated that the yield on 20-year bonds changes by 12 basis points for every 18.9-basis-point move in the yield on 5-year bonds. You hold a $4.5 million portfolio of 5-year maturity bonds with modified duration 4 years and desire to hedge your interest rate exposure with T-bond futures, which currently have modified duration 9 years and sell at FO = $75. How many futures contracts should you sell? (Do not round intermediate calculations. Round your final answer to the nearest whole number.)

Yields on short-term bonds tend to be more volatile than yields on long-term bonds. Suppose that you have estimated that the yield on 20-year bonds changes by 12 basis points for every 18.9-basis-point move in the yield on 5-year bonds. You hold a $4.5 million portfolio of 5-year maturity bonds with modified duration 4 years and desire to hedge your interest rate exposure with T-bond futures, which currently have modified duration 9 years and sell at FO = $75. How many futures contracts should you sell? (Do not round intermediate calculations. Round your final answer to the nearest whole number.)

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter4: Bond Valuation

Section: Chapter Questions

Problem 22P: Yield to Maturity and Yield to Call Arnot International’s bonds have a current market price of...

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Suppose a 10-year, 10% semiannual coupon bond with a par value of 1,000 is currently selling for 1,135.90, producing a nominal yield to maturity of 8%. However, the bond can be called after 5 years for a price of 1,050. (1) What is the bonds nominal yield to call (YTC)? (2) If you bought this bond, do you think you would be more likely to earn the YTM or the YTC? Why?
Bond Valuation and Changes in Maturity and Required Returns Suppose Hillard Manufacturing sold an issue of bonds with a 10-year maturity, a 1,000 par value, a 10% coupon rate, and semiannual interest payments. a. Two years after the bonds were issued, the going rate of interest on bonds such as these fell to 6%. At what price would the bonds sell? b. Suppose that 2 years after the initial offering, the going interest rate had risen to 12%. At what price would the bonds sell? c. Suppose that 2 years after the issue date (as in Part a) interest rates fell to 6%. Suppose further that the interest rate remained at 6% for the next 8 years. What would happen to the price of the bonds over time?
What would be the value of the bond described in Part d if, just after it had been issued, the expected inflation rate rose by 3 percentage points, causing investors to require a 13% return? Would we now have a discount or a premium bond? What would happen to the bond’s value if inflation fell and rd declined to 7%? Would we now have a premium or a discount bond? What would happen to the value of the 10-year bond over time if the required rate of return remained at 13%? If it remained at 7%? (Hint: With a financial calculator, enter PMT, I/YR, FV, and N, and then change N to see what happens to the PV as the bond approaches maturity.)
Yield to Maturity and Yield to Call Arnot International’s bonds have a current market price of $1,200. The bonds have an 11% annual coupon payment, a $1,000 face value, and 10 years left until maturity. The bonds may be called in 5 years at 109% of face value (call price = $1,090). What is the yield to maturity? What is the yield to call if they are called in 5 years? Which yield might investors expect to earn on these bonds, and why? The bond’s indenture indicates that the call provision gives the firm the right to call them at the end of each year beginning in Year 5. In Year 5, they may be called at 109% of face value, but in each of the next 4 years the call percentage will decline by 1 percentage point. Thus, in Year 6 they may be called at 108% of face value, in Year 7 they may be called at 107% of face value, and so on. If the yield curve is horizontal and interest rates remain at their current level, when is the latest that investors might expect the firm to call the bonds?
Yields on short-term bonds tend to be more volatile than yields on long-term bonds. Suppose that you have estimated that the yield on 20-year bonds changes by 12 basis points for every 18.9-basis-point move in the yield on 5-year bonds. You hold a $4.5 million portfolio of 5-year maturity bonds with modified duration 4 years and desire to hedge your interest rate exposure with T-bond futures, which currently have modified duration 9 years and sell at F0 = $75. How many futures contracts should you sell? (Do not round intermediate calculations. Round your final answer to the nearest whole number.)
Yields on short-term bonds tend to be more volatile than yields on long-term bonds. Suppose that you have estimated that the yield on 20-year bonds changes by 10 basis points for every 15-basis-point move in the yield on 5-year bonds. You hold a $1 million portfolio of 5-year maturity bonds with modified duration 4 years and desire to hedge your interest rate exposure with T-bond futures, which currently have modified duration 9 years and sell at F0 = $95. How many futures contracts should you sell?
Yield to maturity (YTM) is the rate of return expected from a bond held until its maturity date. However, the YTM equals the expected rate of return under certain assumptions. Which of the following is one of those assumptions? RTE Inc. has 9% annual coupon bonds that are callable and have 18 years left until maturity. The bonds have a par value of $1,000, and their current market price is $1,160.35. However, RTE Inc. may call the bonds in eight years at a call price of $1,060. What are the YTM and the yield to call (YTC) on RTE Inc.’s bonds? If interest rates are expected to remain constant, what is the best estimate of the remaining life left for RTE Inc.’s bonds? If RTE Inc. issued new bonds today, what coupon rate must the bonds have to be issued at par?
The Faulk Corp. has a 7 percent coupon bond outstanding. The Yoo Company has an 11 percent bond outstanding. Both bonds have 12 years to maturity, make semiannual payments, and have a YTM of 9 percent. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of these bonds? What if interest rates suddenly fall by 2 percent instead? What does this problem tell you about the interest rate risk of lower coupon bonds
Gilligan Co.'s bonds currently sell for $1,150. They have a 6.60% annual coupon rate and a 14-year maturity, a $1,000 par value, and are callable in 7 years at $1,066.00. Assume that no costs other than the call premium would be incurred to call and refund the bonds, and also assume that the yield curve is horizontal, with rates expected to remain at current levels on into the future. Under these conditions, what rate of return should an investor expect to earn if he or she purchases these bonds, the YTC or the YTM? Group of answer choices 4.65% 5.08% 4.50% 4.84% 4.99%
Kholdy Inc's bonds currently sell for $1,275. They pay a $120 annual coupon and have a 20- year maturity and a par value of $1000, but they can be called in 5 years at $1,120. Assume that no costs other than the call premium would be incurred to call and refund the bonds, and also assume that the yield curve is horizontal, with rates expected to remain at current levels on into the future. What is the bond's YTM (Yield to Maturity) and YTC (Yield To Call)?
A firm has issued bonds with a remaining maturity of 1 year, face value of $100 and an annual coupon rate of 5% (there is only one coupon payment left, to be paid one year from now). You observe that the price of the bonds is $94. What is the yield on the bonds today? Suppose that investors expect a 4% return on other bonds with similar maturity and risk and forecast that if the bond defaults, bond holders will get paid 70% of the coupon payments and principal value they are owed (i.e., a 70% recovery rate). What is the expected cash flow of the bonds at time 1? What is the probability of default implied by current bond prices?
Taussig Corp.'s bonds currently sell for P1,150. They have a 6.75% annual coupon rate and a 15-year maturity, but they can be called in 6 years at P1,067.50. Assume that no costs other than the call premium would be incurred to call and refund the bonds, and also assume that the yield curve is horizontal, with rates expected to remain at current levels on into the future. Under these conditions, what rate of return should an investor expect to earn if he or she purchases these bonds, the YTC or the YTM?