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Which of the bonds has the most reinvestment risk? Explain your answer.
a. 7-year bonds with a 5% coupon
b. 1-year bonds with a 12% coupon
c. 3-year bonds with a 5% coupon
d. 15-year zero coupon bonds
e. 15-year bonds with a 10% coupon
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- Which of the following bonds has the most price risk? Explain your answer. a. 7-year bonds with a 5% couponb. 1-year bonds with a 12% couponc. 3-year bonds with a 5% coupond. 15-year zero coupon bondse. 15-year bonds with a 10% couponB. Directions: Compute for the following given statement and justify your answer. 1. Consider two bonds. Bond A has a face value of P100,000 and a stated rate of 12%. Bond B has a face value of P100,000 and a stated rate of 8%. Both bonds have the same maturity. Which bond has the greatest interest rate risk? 2. Consider two bonds. Bond X has a face value of P100,000 and five years remaining to maturity. Bond Y has a face value of P100,000 and ten years remaining to maturity. Both bonds have the same stated rate of 12%. Which bond has the greatest interest rate risk?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? O a. Bond A; Bond C O b. Bond A; Bond B O c. Bond B; Bond C O d. Bond C; Bond B
- 1. evaluating whether to purchase the following $1,000 face value bonds: Co. X bond with a 6% coupon rate that matures in 9 years. Co. Y bond with an 11% coupon rate that matures in 7 years. 2. Assuming both bonds were issued at the same time, explain why would the Co. Y bond pay a higher coupon rate? 3. explain yield to maturity and value a bondSuppose that the prices of zero-coupon bonds with various maturities are given in the following table. The face value of each bond is $1,000. Maturity (Years) 1 2 3 4 5 Show Transcribed Text B) How could you construct a 1-year forward loan beginning in year 3? (Face Value) C) How could you construct a 1-year forward loan beginning in year 4? (Face Value) Required A Required B Complete this question by entering your answers in the tabs below. Face value Rate of synthetic loan → Show Transcribed Text Price $ 970.93 898.39 836.92 How could you construct a 1-year forward loan beginning in year 3? Note: Round your Rate of synthetic loan answer to 2 decimal places. Required A 776.20 685.42 Required B Face value Rate of synthetic loan Required C 7.85 % Required C How could you construct a 1-year forward loan beginning in year 4? Note: Round your Rate of synthetic loan answer to 2 decimal places. Ċ 13.29 %7. Given the two bonds below, answer the following questions. Bond Bond A Coupon Rate B 5% Par/Face/Princ $1000 Years to Maturity 2 5% $1000 a. If the Yield to maturity of the two bonds is 5%, what is the price of both bonds. b. Find the Modified Duration of both bonds. c. Find the Modified Convexity of both bonds. d. Estimate the price of bond B using the Tayor Series Expansion if interest rates rise to 6% for the Yield to Maturity. 3
- Calculating the risk premium on bonds The text presents a formula where (1+1) = (1-p)(1 +i+x) + p(0) where i is the nominal interest rate on a riskless bond x is the risk premium p is the probability of default (bankruptcy) If the probability of bankruptcy is zero, the rate of interest on the risky bond is When the nominal interest rate for a risky borrower is 8% and the nominal policy rate of interest is 3%, the probability of bankruptcy is %. (Round your response to two decimal places.) When the probability of bankruptcy is 6% and the nominal policy rate of interest is 4%, the nominal interest rate for a risky borrower is %. (Round your response to two decimal places.) When the probability of bankruptcy is 11% and the nominal policy rate of interest is 4%, the nominal interest rate for a risky borrower is %. (Round your response to two decimal places.) The formula assumes that payment upon default is zero. In fact, it is often positive. How would you change the formula in this case?…A plot of the yields on bonds with different terms to maturity but the same risk, liquidity, and tax considerations is known as O A. a yield curve. B. a risk-structure curve. OC. a term-structure curve. 5- O D. an interest-rate curve. Suppose people expect the interest rate on one-year bonds for each of the next four years to be 3%, 6%, 5%, and 6%. If the expectations theory of the term structure of interest rates is correct, then the implied interest rate on bonds with a maturity of four years is nearest whole number). %. (Round your response to the 2- Refer to the figure on your right. Suppose the expected interest rates on one-year bonds for each of the next four years are 4%, 5%, 6%, and 7%, respectively. 1. 1.) Use the line drawing tool (once) to plot the yield curve generated. 3 Term to Maturity in Years 2.) Use the point drawing tool to locate the interest rates on the next four years. 5. 3- Interest Rate .....Assume that each bond has the same YTM. Which of the following four bonds has the least dependence on reinvestment income to generate the current YTM? Bond B Bond C Bond D Bond A B C D O All four bonds have the same dependence on reinvestment income. Bond A Maturity 15 years 15 years 15years. 20 years Coupon Rate (%) 0 7 8 8
- er the following: i. Two bonds, both with 10 years to maturity, have the same yield to maturity (equal to 5%) but different coupon rates. Coupon payments are annual. Bond A has a Macaulay duration of 7.06 and bond B has a Macaulay duration of 8.76. Based on this information, explain which bond you think has the lower coupon rate. Be sure to present your reasoning. Bond A in part (i) has a face value of $100 and a coupon rate of 4.5%. What is its price?Suppose you have the following liabilities: Liability 1: A one-time liability maturing in 4 years with the present value of $100. Liability 2: A one-time liability maturing in 8 years with the present value of $100. To immunize your liabilities using the following two bonds, what would be the weights of the two bonds in your immunizing bond portfolio? Bond A: A zero-coupon bond with a face value of $100 and a time to maturity of 3 years. Bond B: A zero-coupon bond with a face value of $100 and a time to maturity of 12 years. A. 33% in Bond A and 67% in bond B B. 70% in Bond A and 30% in bond B C. 30% in Bond A and 70% in bond B D. 67% in Bond A and 33% in bond B E. 50% in Bond A and 50% in bond BProblem: You are given the following data for two bonds with semiannual payments (A and B) Bond Settlement Date B 2/15/2020 2/15/2020 Maturity Date Coupon rate 2/15/2040 2/15/2040 4% 8% Similar bonds with 20 year to maturity sell for 9% coupon rates in the market. a) Calculate the bond value for bond A and B b) Calculate the YTM for bond A and B Bond Valuation Settlement Date 2/15/2020 2/15/2020 Maturity Date Coupon rate Required return Redemption Value Frequency Basis Calculate the PV of the bond in U.S. S 2/15/2040 2/15/2040 8% 4% 4.50% 4.50% 100 100 2 a) Use the Price Function B) Use the Yield Function