00 par value bond that has an 8% coupon rate, pays a semi-annual coupon, matures 2 years from today, and is priced to yield 6%. Calculate the Macauly and modified durations as a present value weighted average of the time to maturity. For the bond above, calculate the dollar duration and the price value of a basis point. For the bond above, estimate the percent and dollar price c
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Consider a $100 par value bond that has an 8% coupon rate, pays a semi-annual coupon, matures 2 years from today, and is priced to yield 6%. Calculate the Macauly and modified durations as a
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- A newly issued bond with 1 year to maturity has a price of $1,000, which equals its face value. The coupon rate is 15% and the probability of default in 1 year is 35%. The bond’s payoff in default will be 65% of its face value. a. Calculate the bond’s expected return. b. Use a data table to show the expected return as a function of the recovery percentage and the price of the bond. Please show how you got part B using all functions.Calculate the duration for a $1000, 4-year bond with a 4.5% annual coupon, currently selling at par. Use the duration to estimate the percentage change in the bond’s price for a decrease in the market interest rate to 3.5%. Use the bond price volatility equation to compute the bond price volatility. Compare the result with the estimated percentage change in the bond price.Consider a semi-annual bond that has a par value of 100, a 15-year maturity, a 5% coupon rate. Monthly interest rate is 0.412%. (a) Calculate the annualized semi-annual compounding yield. (b) What is the price of the bond (without calculation)? And explain why you can determine the price of the bond without calculation? (c) Using answers from (b), calculate the modified duration of this bond. (d) Using answers from (b) and (c), suppose that the bond’s yield to maturity decreases to 3.5%. How much will the bond price increase by applying the duration rule? (e) Do you agree with the following statement, and explain why? “If two bonds have the same duration, then the percentage change in price of the two bonds will be the same for a given change in interest rates.” (f) Discuss the problems with the traditional bond pricing approach by using the yield to maturity. (300 words Maximum)
- The following table summarizes prices of various default-free zero-coupon bonds (expressed as a percentage of the 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 3.92 %. (Round to two decimal places.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) Price (per $100 face value) 1 $95.51 2 3 $91.10 $86.55 $81.69 $76.45 Print DondayAssume that a RMI,000 par value bond has a coupon rate of 5% and will mature in 10 years. It has a current price of RMS10.34. Given this information, answer the following questions. i) Calculate the yield of maturity of the bond. ii) Calculate the current yield of the bond. ii) Discuss why the current yield differs from the yield of maturity.Consider a semi-annual bond that has a par value of 100, a 15-year maturity, a 5% coupon rate. Monthly interest rate is 0.412%. (a) What is the price of the bond (without calculation)? And explain why you can determine the price of the bond without calculation? (b) Using answers from (a), calculate the modified duration of this bond. (c) Using answers from (a) and (b), suppose that the bond’s yield to maturity decreases to 3.5%. How much will the bond price increase by applying the duration rule?
- Suppose that a bond with an 8% coupon rate and semiannual coupons has a face value of $1,000, 10 years to maturity. The required rate (Yield to Maturity, YTM) is 5%. Draw a timeline to identify the amount and timing of cash flows obtained with the bond and calculate the bond value. Redo part (a) if YTM is 10%. Next, use the results of parts (a) and (b) to show the relationship among YTM, coupon rate and bond value.The following table summarizes prices of various default-free zero-coupon bonds (expressed as a percentage of the 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.) Data table (Click on the following icon Maturity (years) Price (per $100 face value) in order to copy its contents into a spreadsheet.) 2 $91.99 3 $87.33 1 $96.35 Print Done 4 $82.48 5 $77.37 XThe following table summarizes prices of various default-free zero-coupon bonds (expressed as a percentage of the face value): Maturity (years) Price (per $100 face value) 1 $96.32 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.) 2 $91.93 3 $87.36 4 5 $82.57 $77.42
- Consider a 10-year bond with a face value of $1,000 that has a coupon rate of 5.9%, with semiannual payments. a. What is the coupon payment for this bond? b. Draw the cash flows for the bond on a timeline. a. What is the coupon payment for this bond? The coupon payment for this bond is $ (Round to the nearest cent.)Suppose the yield on a one year bond is currently 2.5%. Further assume that the expected yield on a one-yea the next four years are, respectively: 2.4%, 2.3%, 2.2%, and 2.1%. Additionally, the term premium on the one-, three-, four-, and five-year bonds are given in the table below: Term Premium on Different Maturity Length Bonds Maturity Length Term Premium one-year 0.00% two-year three-year four-year five-year a. b. flat 0.05% Given the information above, if the yield curve of these five bonds were graphed, it would be 0.10% e. 0.15% downward sloping upward sloping 0.20% C. flat then upward sloping d. upward sloping then downward slopingConsider a 10-year bond with a face value of $1,000 that has a coupon rate of 5.5%, with semiannual payments. a. What is the coupon payment for this bond? b. Draw the cash flows for the bond on a timeline