You have just been given the following bond portfolio: Bond Maturity (yrs) Coupon rate (%) Holdings ($ million) 7.00 10 7.25 20 10 7.50 20 20 8.00 10 Coupons are paid semi-annually. The current yield curve is flat at 6%. (a) What is duration for each of the bonds in your portfolio? 25 ABCD
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Answers are : A = 1.97, B = 4.61, C = 8.35, D = 14.13
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- 2. Consider a bond with a 7.5% annual coupon rate and a face value of $1,000. Calculate the bond price and duration & show your work. Years to Maturity Interest rate Bond Price Duration 4 6. 6. 9. What relationship do you observe between yield to maturity and the current market value? What is the relationship between YTM and duration?Suppose you have developed a bond portfolio using the bonds listed below (per $100 par value) reported. All the bonds make semi-annual coupon payments. Bond A B Coupon rate (%) Number of years price 8 6 3 95 105 What is the yield to maturity of the above bond portfolio based on the cash flow yield? WConsider the following bonds: . What is the percentage change in the price of each bond if its yield to maturity falls from 6.3% to 5.3%? The price of bond A at 6.3% YTM per $100 face value is $ (Round to the nearest cent.) - X Data table (Click on the following icon g in order to copy its contents into a spreadsheet.) Bond Coupon Rate (annual payments) Maturity (years) A 0.0% 15 В 0.0% 10 3.6% 15 8.4% 10 Print Done
- 7. Suppose you have developed a bond portfolio using the bonds listed below (per $100 par value) reported. All the bonds make semi-annual coupon payments. Bond Coupon rate (%) Number of years price А 8 2 70 В 2 105 C 10 4 99 What is the yield to maturity of the above bond portfolio based on the cash flow yield?If you have a coupon bond, its face value is $1,000 and the coupon rate is 4%. Complete the following table, then calculate the rate of return for the bond. If you know that it was purchased at the nominal value, comment on the results. due date return at maturity the price 2 0.02 3 0.04 5 0.06 Present Value Annuity value % n value % n 0.961 0.02 2 1.97 0.02 2 0.925 0.04 2 1.89 0.04 2 0.889 0.04 3 2.78 0.04 3 0.906 0.02 5 4.71 0.02 5 0.747 0.06 5 4.21 0.06 59. Interest Rate Risk. Suppose that you are a fixed income portfolio manager at Bourbon Street Capital. You have the following bonds issued by Royal, Inc. and Chartres, LLC in your portfolio and you want to understand the risk profile of your portfolio. Given that both bonds pay semiannual coupons, answer the following questions. (Remember to convert your answer to units of full years.) Coupon Yield to maturity Maturity (years) Royal, Inc. Chartres, LLC. Bond A Bond B 9% 8% 5 $100.00 $104.055 8% 8% 2 Par $100.00 Price $100.00 (a) What is the DV01 (at current prices) for bonds A and B? (b) What are the Macaulay Durations (at current prices) for the two bonds? (c) What are the modified durations for the two bonds? (d) What is the convexity of the two bonds?
- Consider a bond that has a price of $1046.76, a coupon rate of 8.8%, a yield to maturity of 8.1%, a face value of $1000, and 10 years to maturity. What is the current yield? Enter your answer as a percentage. Do not include the percentage sign in your answer. Enter your response below. Enter your answer to 2 DECIMAL PLACES. Number %Data table 不 The following table summarizes prices of various default-free zero-coupon bonds (expressed as a percentage of face value): a. Compute the yield to maturity for each bond. b. Plot the zero-coupon yield curve (for the first five years). c. Is the yield curve upward sloping, downward sloping, or flat? a. Compute the yield to maturity for each bond. The yield on the 1-year bond is ☐ %. (Round to two decimal places.) (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) Price (per $100 face value) 1 $95.42 2 3 4 5 $90.99 $86.47 $81.58 $76.46 Print DoneThe following bonds are offered for your investment portfolio. Compute for the YTM and Value of the bond. Write you final answers to the table provided below. Bond Bond Value Coupon Rate Interest Due Maturity Period Required Rate of Return Offered Price K P10,000 15% Annually 12 yrs. 13% 98-1/2 A 25,000 8% Annually 15 yrs. 9% 102-3/4 P 20,000 10% Semi-Annual 8 yrs. 12% 105 O 15,000 13% Semi-Annual 6 yrs. 16% 96-1/4 I 10,000 13% Quarterly 5 yrs. 12% 103-1/2 Based on the above Bonds for investment, compute for the following: Bond Yield to Maturity Value of Each Bond Decision: Accept or Reject K A P O I Note: For bond K and P used the exact YTM, while for A, O and I compute the Approximate YTM.
- Need help finding the current yield for both bond P and D, & the capital yield gains for both bonds P and D. Thank you in advanceUsing a spreadsheet, find the yield-to-maturity (YTM) on an 8-year, 6% coupon bond such that the present value of its coupons equals the present value of its par value. Report your answer as a percentage with 2-digit precision (ex. show 12.3456% as 12.35). hint: "Goal seek"1) Explain the concept of interest rate risk in bond investment 2) show a numerical example of it by calculating % changes in price for 1 year and 3-year annual coupon bonds. Assume coupon interest rate = 12%, Yield to Maturity = 6%, Face value= 100. Use 2% increase in YTM (i.e., 6% → 8%).