Consider 3-year 6% bond with the par of $100 and semi-annual coupon payments. The YTM of the bond is 8%.Also, suppose that the dollar duration is 253.96.What would be the bond price if the yield were 9%? Whatwould be the price change due to duration? What would bethe price change due to convexity?Price = 97.26; Change due to Duration = +2.54; Change due toConvexity = -0.04Price = 96.84; Change due to Duration = +2.12 ; Change due toConvexity = -0.04Price = 92.26; Change due to Duration = -2.54; Change due toConvexity = +0.04Price = 92.68; Change due to Duration = -2.12 ; Change due toConvexity = +0.04

Bonds are essentially loans that you provide to companies or governments in exchange for periodic…

Consider 3-year 6% bond with the par of $100 and semi- annual coupon payments. The YTM of the bond is 8%. Also, suppose that the dollar duration is 253.96. What would be the bond price if the yield were 9%? What would be the price change due to duration? What would be the price change due to convexity?

Consider 3-year 6% bond with the par of $100 and semi- annual coupon payments. The YTM of the bond is 8%. Also, suppose that the dollar duration is 253.96. What would be the bond price if the yield were 9%? What would be the price change due to duration? What would be the price change due to convexity?

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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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?
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)
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?
Consider a bond that has a life of 2 years and pays a coupon of 10% per annum (with semiannual payments); the yield is 5% per annum with semiannual compounding.(a) What is the bond’s price?(b) What is the bond’s duration?(c) Suppose that the bond price is the one you computed in part (a) and that the 6M, 12M, and 18M zero rates are respectively 4.2%, 4.8% and 5.6% per annum. What is the 2Y zero rate assuming all rates are quoted with semiannual compounding?
Assume 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.
Explain what you see from the pricing calculations. How do the two bonds differ? Bond C Bond Price = PV(rate,nper,pmt,fv) Given: n = Period which takes values from 0 to the nth period = 0,1,2,3 & 4 Cn = Coupon payment in the nth period = 10%*$1,000 = $100 YTM = interest rate or required yield = 9.6% P = Par Value of the bond = $1,000 Bond Z Bond Price = PV(rate,nper,pmt,fv) Given: n = Period which takes values from 0 to the nth period = 0,1,2,3 & 4 Cn = Coupon payment in the nth period = 0%*$1,000 = $0.00 YTM = interest rate or required yield = 9.6% P = Par Value of the bond = $1,000 years Bond A Bond Z 4 $1,012.79 $693.04 3 $1,010.02 $759.57 2 $1,006.98 $832.49 1 $1,003.65 $912.41 0 $1,000.00 $1,000.00
Assume you have a bond with a face value of 100 and a coupon rate of 2%. The current market price is 98.2. Would the yield to maturity increase or decrease if the price rises? Please explain why?
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.
Suppose 2-year Treasury bonds yield 4.1%,while 1-year bonds yield 3.2%. r* is 1%, and the maturity risk premium is zero.a. Using the expectations theory, what is the yield on a 1-year bond, 1 year from now?Calculate the yield using a geometric average.b. What is the expected inflation rate in Year 1? Year 2?
Consider the zero coupon Treasury bond yield curve. Suppose a 1 year bond has a yield of 2.13%. The yield curve slopes downwards between maturities of 1 year and 3 years, and then slopes upwards. Which of the following must be true? Group of answer choices A) The yield of a zero coupon bond with maturity 5 years is higher than 2.13%. B) A 1 year positive coupon bond must have a lower price than the zero coupon bond with the same maturity. C) Bond purchasers believe the Fed will decrease rates in the short run, and then increase them in the long run. D) The economy will be in a recession within 2 years. E) C and D.
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 с
A bond that pays interest semiannual has a price of 981.45 and semiannual coupon payment of 28.50. If the par value is 1000. What is the current yield?

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