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- 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?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?A 30-year maturity bond making annual coupon payments with a coupon rate of 12% has (modified) duration of 11.54 years and convexity of 192.4. The bond currently sells at a yield to maturity of 8%. a) Find the price of the bond if ytm falls to 7% (use financial calculator or spreadsheet). b) What price would be predicted using duration only? c) What price would be predicted using duration and convexity? d) What is the error (in %) for each rule? What do you conclude about accuracy of the two rules? e) Repeat the analysis with yields rising to 9%. Do your conclusions about accuracy hold up?
- 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.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.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.
- 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)?The current yield curve for default-free zero-coupon bonds is as follows: Maturity (Years) 1 YTM (%) 6% 7 9 2 3 Required: a. What are the implied 1-year forward rates? b. Assume that the pure expectations hypothesis of the term structure is correct. If market expectations are accurate, what will be the yield to maturity on 1-year zero-coupon bonds next year? c. Assume that the pure expectations hypothesis of the term structure is correct. If market expectations are accurate, what will be the yield to maturity on 2-year zero-coupon bonds next year? d. If you purchase a 2-year zero-coupon bond now, what is the expected total rate of return over the next year? Ignore taxes. e. What is the expected total rate of return over the next year on a 3-year zero-coupon bond? f. What should be the current price of a 3-year maturity bond with a 9% coupon rate paid annually? g. If you purchased the coupon bond at the price you computed in part (f), what would your total expected rate of return be…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
- Assuming annual coupon payment, a 3-year 8% coupon bond has a yield to maturity 9 percent. What is the duration? If market rate decrease by 0.75%, what’s the percentage change in bond price using the duration estimation approach?Yield to maturity (YTM) is the rate of return expected from a bond held until its maturity date. However, the YTM equals the expected rate of return under certain assumptions. Which of the following is one of those assumptions? The bond will not be called. The bond has an early redemption feature. Consider the case of BTR Co.: YTM YTC BTR Co. has 9% annual coupon bonds that are callable and have 18 years left until maturity. The bonds have a par value of $1,000, and their current market price is $1,100.35. However, BTR Co. may call the bonds in eight years at a call price of $1,060. What are the YTM and the yield to call (YTC) on BTR Co.'s bonds? Value If interest rates are expected to remain constant, what is the best estimate of the remaining life left for BTR Co.'s bonds? 13 years 10 years 5 years 8 years If BTR Co. issued new bonds today, what coupon rate must the bonds have to be issued at par?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.