Suppose that a portfolio manager must invest funds to satisfy a known liability of $50 million 10 years from now. If 10-year zero-coupon bonds offer a yield to maturity of 10%, how much must the manager invest to satisfy this liability? $17,894,874.33 $18,844,474.14 $20,844,482.10 $19,944,974.98
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- Consider the following bond portfolio: Coupon Bond Value Maturity Yield A $300 million 3 years 0% 10% В 300 4 6. 10 400 8 10 a) What is the bond portfolio's duration? b) Calculate the capital loss on this portfolio if the yield increases from 10 to 12 percent. c) Suppose the portfolio is to be immunized over an investment horizon of approximately 5.19 years. Determine the market value of the immunized portfolio at the end of 5.19 years. 4.A fixed-income portfolio manager sets a minimum acceptable rate of return on the bond portfolio at 4.4% per year over the next 5 years. The portfolio is currently worth $10 million. One year later interest rates are at 5.4%. What is the portfolio value trigger point at this time that would require the manager to immunize the portfolio? Multiple Choice $12,402,307 $10,049,398 $9.534,533 $10,440,000Suppose that yield rates on zero coupon bonds are currently 26 for a one-year maturity, 3% for a two-year maturity and 4.% for a three-year maturity (all effective annual rates). Suppose that someone is willing to borrow money from you starting one year from now to be repaid three years from now at an effective annual interest rate of 6.5146438635186%. Construct a transaction in which an arbitrage gain can be obtained. What is your positive net gain for net investment of 0? (net cashflow at t-3) 01345 One possible correct answer is: 0.030250290387703
- Suppose you are considering two possible investment opportunities: a 12-year Treasury bond and a 7-year, A-rated corporate bond. The current real risk-free rate is 3%, and inflation is expected to be 2% for the next 2 years, 3% for the following 4 years, and 4% thereafter. The maturity risk premium is estimated by this formula: MRP = 0.02(t - 1)%. The liquidity premium (LP) for the corporate bond is estimated to be 0.3%. You may determine the default risk premium (DRP), given the company's bond rating, from the following table. Remember to subtract the bond's LP from the corporate spread given in the table to arrive at the bond's DRP. Corporate Bond Yield Rate Spread = DRP + LP U.S. Treasury 0.83 % — AAA corporate 1.03 0.20 % AA corporate 1.39 0.56 A corporate 1.79 0.96 What yield would you predict for each of these two investments? Round your answers to three decimal places. 12-year Treasury yield: fill in the blank _ % 7-year Corporate yield: fill…6 MLK Bank has an asset portfolio that consists of $100 million of 30-year, 8 percent annual coupon, $1,000 bonds that sell at par. a-1. What will be the bonds' new prices if market yields change immediately by ± 0.10 percent? a-2. What will be the new prices if market yields change immediately by ± 2.00 percent? b-1. The duration of these bonds is 12.1608 years. What are the predicted bond prices in each of the four cases using the duration rule? b-2. What is the amount of error between the duration prediction and the actual market values? Complete this question by entering your answers in the tabs below. Required A1 Required A2 Required B1 Required B2 What will be the bonds' new prices if market yields change immediately by ± 0.10 percent? (Do not round intermediate calculations. Enter all answers as positive numbers. Round your answers to 2 decimal places. (e.g., 32.16)) At + 0.10% At - 0.10% Bonds' New Price $ 988.85 1,011.36 < Required A1 Required A2Suppose you are considering two possible investment opportunities: a 12-year Treasury bond and a 7-year, AA-rated corporate bond. The current real risk-free rate is 3%, and inflation is expected to be 2% for the next 2 years, 3% for the following 4 years, and 4% thereafter. The maturity risk premium is estimated by this formula: MRP = 0.02(t - 1)%. The liquidity premium (LP) for the corporate bond is estimated to be 0.3%. You may determine the default risk premium (DRP), given the company's bond rating, from the following table. Remember to subtract the bond's LP from the corporate spread given in the table to arrive at the bond's DRP. Corporate Bond Yield Rate Spread = DRP + LP U.S. Treasury 0.73 % — AAA corporate 0.93 0.20 % AA corporate 1.33 0.60 A corporate 1.75 1.02 What yield would you predict for each of these two investments? Round your answers to three decimal places. 12-year Treasury yield: 6.553%----->correct 7-year Corporate yield: ? %…
- Suppose you are considering two possible investment opportunities: a 12-year Treasury bond and a 7-year, AA-rated corporate bond. The current real risk-free rate is 3%, and inflation is expected to be 2% for the next 2 years, 3% for the following 4 years, and 4% thereafter. The maturity risk premium is estimated by this formula: MRP = 0.02(t - 1)%. The liquidity premium (LP) for the corporate bond is estimated to be 0.3%. You may determine the default risk premium (DRP), given the company's bond rating, from the following table. Remember to subtract the bond's LP from the corporate spread given in the table to arrive at the bond's DRP. Corporate Bond Yield Rate Spread = DRP + LP U.S. Treasury 0.73 % — AAA corporate 0.93 0.20 % AA corporate 1.33 0.60 A corporate 1.75 1.02 What yield would you predict for each of these two investments? Round your answers to three decimal places. 12-year Treasury yield: 10.533 % 7-year Corporate yield: 9.597% Given…Suppose you are considering two possible investment opportunities: a 12-year Treasury bond and a 7-year, AA-rated corporate bond. The current real risk-free rate is 3%, and inflation is expected to be 3% for the next 2 years, 4% for the following 4 years, and 5% thereafter. The maturity risk premium is estimated by this formula: MRP = 0.02(t - 1)%. The liquidity premium (LP) for the corporate bond is estimated to be 0.2%. You may determine the default risk premium (DRP), given the company's bond rating, from the following table. Remember to subtract the bond's LP from the corporate spread given in the table to arrive at the bond's DRP. Corporate Bond Yield Rate Spread = DRP + LP U.S. Treasury 0.83 % — AAA corporate 1.03 0.20 % AA corporate 1.39 0.56 A corporate 1.75 0.92 What yield would you predict for each of these two investments? Round your answers to three decimal places. 12-year Treasury yield: fill in the blank 7 % 7-year Corporate yield: fill in the blank 8 %suppose you purchase a 30-year Treasury bond with a 5% annual coupon, initially trading at par. In 10 years' time, the bond's yield to maturity has risen to 6% (EAR). (Assume $100 face value bond.) a. If you sell the bond now, what internal rate of return will you have earned on your investment in the bond? b. If instead you hold the bond to maturity, what internal rate of return will you earn on your initial investment in the bond? c. Is comparing the IRRs in (a) versus (b) a useful way to evaluate the decision to sell the bond? Explain. 1. If you sell the bond now, what internal rate of return will you have earned on your investment in the bond? The IRR of the bond is nothing%. (Round to two decimal places.)
- Suppose you purchase a 30-year Treasury bond with a 5% annual coupon, initially trading at par. In 10 years' time, the bond's yield to maturity has risen to 7% (EAR). (Assume $100 face value bond.) a. If you sell the bond now, what internal rate of return will you have earned on your investment in the bond? b. If instead you hold the bond to maturity, what internal rate of return will you earn on your initial investment in the bond? c. Is comparing the IRRs in (a) versus (b) a useful way to evaluate the decision to sell the bond? Explain. a. If you sell the bond now, what internal rate of return will you have earned on your investment in the bond? The IRR of the bond is %. (Round to two decimal places.)) Consider buying a 1000 pbr bond at the market price of 800 pbr. The bond paysdividends semiannually at a rate of 8% per year over 10 years (i.e. The bond matures in 10 years).(a) Calculate the coupon rate?(b) Calculate the dividend amounts /Coupon interest payments.(c) Draw the cash flow diagram for the bond investment.(d) Calculate the effective annual yield.b. Suppose you are considering two possible investment opportunities: a 12-year Treasury bond and a 7-year, AA-rated corporate band. The current real risk-free rate is 5%, and inflation is expected to be 2% for the next 2 years, 3% for the following 4 years, and 4% thereafter. The maturity risk premium is estimated by this formula: MRP = 0.03 (t-1) %. The liquidity premium (LP) for the corporate bond is estimated to be 0.2%. You may determine the default risk premium (DRP), given the company's bond rating, from the following table. Remember to subtract the bond's LP from the corporate spread given in the table to arrive at the bond's DRP. Rate 0.83% 1.03 1.35 1.73 Corporate Bond Yield Spread = DRP + LP U.S. Treasury AAA corporate 0.20% AA corporate 0.52 A corporate 0.90 What yield would you predict for each of these two investments? Round your answers to three decimal places, 12-year Treasury yield: 7-year Corporate yield: % %