use Microsoft excel and show formulas you used.i. A 4 year Treasury Bond with a face value of $1,000 and an annual couponrate of 5.80% has a yield to maturity of 4.29%. This bond makes 2 (semi-annual) coupon payments per year and thus has 8 periods until maturity.What is the price sensitivity of a bond to changes in yield and how does thatcompare to the duration approximation, and compare to the duration plus150 (d)convexity approximation?mu?

Price sensitivity of a bond: The price sensitivity or the price elasticity of a bond is the ratio of…

5. A 4 year Treasury Bond with a face value of $1,000 and an annual coupon rate of 5.80% has a yield to maturity of 4.29%. This bond makes 2 (semi- annual) coupon payments per year and thus has periods until maturity. What is the price sensitivity of a bond to changes in yield and how does that compare to the duration approximation, and compare to the duration plus convexity approximation? mi

5. A 4 year Treasury Bond with a face value of $1,000 and an annual coupon rate of 5.80% has a yield to maturity of 4.29%. This bond makes 2 (semi- annual) coupon payments per year and thus has periods until maturity. What is the price sensitivity of a bond to changes in yield and how does that compare to the duration approximation, and compare to the duration plus convexity approximation? mi

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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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 modified duration of a bond that pays an annual coupon at a rate of 6% and matures in 2 years. This bond has a face value of 1,000 and is currently selling at a yield of 8%. Show calculations. Using just modified duration, if yield changes by 0.5%, what is the expected change in the price of the bond? Show calculations. Use the timeline method for this. Solving this in a calculator or at some other website that allows you to solve this kind of question and just putting the value is not going to be an acceptable answer.
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 purchase a $1000 Face-Value Zero-Coupon Bond with maturity 30 years and yield to maturity 4% quoted with annual compounding. Show the bond cash flows on a time line and compute the current price of the bond Draw a graph to illustrate how the price of this bond will change as it gets closer to maturity – Price (on y axis) vs Time (on x axis). Why is a zero-coupon bond more sensitive to interest rate changes than similar coupon bearing bonds (2 or 3 sentences)?
You are considering two bonds. Bond A has a 9% annual coupon while Bond B has a 6% annual coupon. Both bonds have a 7% yield to maturity, and the YTM is expected to remain constant. Which of the following statements is CORRECT? State your reason for the answer. The price of Bond A will decrease over time, but the price of Bond B will increase over time. The price of Bond B will decrease over time, but the price of Bond A will increase over time. The prices of both bonds will remain unchanged. The prices of both bonds will increase by 7% per year. The prices of both bonds will increase by 9% per year.
Use a different graph for each one and clearly label the axis and the shifting of curves. Explain clearly (in words and on the graph) whether the price and yield to maturity increased or decreased. You buy a bond that pays annual interest payments of 8% of the bond’s face value of $1000. You initially pay $1050 for the bond. You receive an annual interest payment after one year, then sell the bond for $1010. What is your total rate of return on the investment, expressed as a percentage of the purchase price?
Calculate the duration (and price) of a bond with the following characteristics: A semi-annual payment bond with a $1,000 face value, a 4,5% coupon rate, a 7.8% YTM, and 8 years to maturity. Show your table of calculations or show Excel inputs if using the Excel commands.
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.
The YTM on a bond is the interest rate you earn on your investment if interest rates don't change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). a. Suppose that today you buy an annual coupon bond with a coupon rate of 8.3 percent for $785. The bond has 8 years to maturity and a par value of $1,000. What rate of return do you expect to earn on your investment? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b-1. Two years from now, the YTM on your bond has declined by 1 percent, and you decide to sell. What price will your bond sell for? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. b-2. What is the HPY on your investment? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. a. Rate of return b-1. Price b-2. Holding period…
Suppose you are reviewing a sheet for a bond portfolio and see the following information. These bonds have a par value of 100 and make semiannual coupon payments. Bond Annual coupon rate Number of years Annual yield to maturity A B с 6% 8% 10% 2 3 5 5% 10% 8% What is the bond portfolio's yield to maturity based on the IRR calculation?
The YTM on a bond is the interest rate you earn on your investment if interest rates don't change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). a. Suppose that today you buy an annual coupon bond with a coupon rate of 8.4 percent for $825. The bond has 8 years to maturity and a par value of $1,000. What rate of return do you expect to earn on your investment? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b-1. Two years from now, the YTM on your bond has declined by 1 percent, and you decide to sell. What price will your bond sell for? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b-2. What is the HPY on your investment? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) X Answer is complete but not entirely correct. Rate of return…
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?

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