You find a bond with 19 years until maturity that has a coupon rate of 8 percent and a yield to maturity of 7 percent. What is the Macaulay duration? The modified duration? (Do not round intermediate calculations. Round your answers to 3 decimal places.) Answer is complete but not entirely correct. Macaulay Modified Duration 10.775 years 10.070 years
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- What is the Macaulay duration of a bond with a coupon of 5.8 percent, eleven years to maturity, and a current price of $1,060.10? What is the modified duration? (Do not round intermediate calculations. Round your answers to 3 decimal places.)Suppose 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 Price $983.78 865.89 797.92 732.00 660.24 Required: a. Calculate the forward rate of interest for each year. b. How could you construct a 1-year forward loan beginning in year 3? c. How could you construct a 1-year forward loan beginning in year 4?A Treasury bond that settles on October 18, 2022, matures on March 30, 2041. The coupon rate is 6.10 percent, and the bond has a yield to maturity of 5.57 percent. What are the Macaulay duration and modified duration? Note: Use the duration functions in Excel to solve the problem. Do not round intermediate calculations. Round your answers to 4 decimal places. Answer is complete but not entirely correct. Macaulay duration 11.4179 Modified duration 10.8154 X
- What is the Macaulay duration of a 7 percent semiannual coupon bond with two years to maturity and a current price of $1,055.30? (Note: You are required to solve the problem by calculating "Years \times PV / Bond Price" for each cash flow and summing the results. YTM and PV must be calculated using a financial calculator. Round your answer to four decimal places.)There are three bonds that mature at the same time, have the same par value, and are expected to pay their first annual coupon 1 next year. The bonds are detailed in the below table. Bond A B с PV PV PV Present Value B ? ? ? PV B If ca r, then what can we say about the prices of the bonds today? (Enter >, <, or ?) PV C PV Yield to Maturity C r rb Coupon Rate ca с сUsing 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"
- 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 %Assume the zero-coupon yields on default-free securities are as summarized in the following table: (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) 1 2 3 4 5 Zero-coupon YTM 4.30% 4.70% 5.10% 5.30% 5.50% What is the price of a five-year, zero-coupon, default-free security with a face value of $1,000 Question content area bottom Part 1 The price is ___$enter your response here.(Round to the nearest cent.)Consider the market rates for the maturities 1, 2, and 3 years respectively in the table below. What is the price of a 3-year bond with annual payments, coupon rate equal to 9.50% and face value equal to $68,000. Answer with two decimal digits accuracy. Example: 74929.05 t 1 2 3 R(0,t) 1.95 2.90 4.40 Blank Excel Worksheet Your Answer: Answer
- Suppose you are given the following information about the default-free, coupon-paying yield curve: Maturity (years) Coupon rate (annual payment) YTM 1 0.00% 2.587% a. Use arbitrage to determine the yield to maturity of a two-year zero-coupon bond. b. What is the zero-coupon yield curve for years 1 through 4? Note: Assume annual compounding. 2 11.00% 4.008% a. Use arbitrage to determine the yield to maturity of a two-year zero-coupon bond. The yield to maturity of a two-year, zero-coupon bond is %. (Round to two decimal places.) b. What is the zero-coupon yield curve for years 1 through 4? The yield to maturity for the three-year and four-year zero-coupon bond is found in the same manner as the two-year zero-coupon bond. The yield to maturity on the three-year, zero-coupon bond is %. (Round to two decimal places.) The yield to maturity on the four-year, zero-coupon bond is %. (Round to two decimal places.) Which graph best depicts the yield curve of the zero-coupon bonds? (Select the…Find the duration of a bond with a settlement date of May 27, 2025, and maturity date November 15, 2036. The coupon rate of the bond is 6.0%, and the bond pays coupons semiannually. The bond is selling at a bond-equivalent yield to maturity of 8.0%. Use Spreadsheet 16.3. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. X Answer is complete but not entirely correct. Macaulay duration Modified duration 11.98 X 11.52 XWhat is the Macaulay duration of a bond with a coupon of 6.0 percent, twelve years to maturity, and a current price of $1,062.40? What is the modified duration? (Do not round intermediate calculations. Round your answers to 3 decimal places.) Macaulay Modified Duration 8.989 Years 8.537 Years