b. Suppose the yield to maturity on both bonds decreases to 6.75%. What will be the actual percentage capital loss on each bond?What percentage capital loss would be predicted by the duration-with-convexity rule? (Input all amounts as positive values. Do notround intermediate calculations. Round your answers to 2 decimal places.)Zero Coupon Bond Coupon BondActualPredicted%% A 9-year maturity zero-coupon bond selling at a yield to maturity of 7.75% (effective annual yield) has convexity of 169.5 and modifiedduration of 8.06 years. A 30-year maturity 7.5% coupon bond making annual coupon payments also selling at a yield to maturity of7.75% has nearly identical duration-8.04 years-but considerably higher convexity of 257.5.a. Suppose the yield to maturity on both bonds increases to 8.75% What will be the actual percentage capital loss on each bond?What percentage capital loss would be predicted by the duration-with-convexity rule? (Input all amounts as positive values. Do notround intermediate calculations. Round your answers to 2 decimal places.)Zero Coupon Bond Coupon BondActualPredicted

A zero-coupon bond is a type of fixed-income security or debt instrument that does not make periodic…

Answered: A 9-year maturity zero-coupon bond…

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 13-year-maturity zero-coupon bond selling at a yield to maturity of 9% (effective annual yield) has convexity of 174.3 and modified duration of 12.06 years. A 30-year-maturity 7% coupon bond making annual coupon payments also selling at a yield to maturity of 9% has nearly identical duration-12.04 years-but considerably higher convexity of 271.1. Required: a. Suppose the yield to maturity on both bonds increases to 10%. What will be the actual percentage capital loss on each bond? What percentage capital loss would be predicted by the duration-with-convexity rule? b. Suppose the yield to maturity on both bonds decreases to 8%. What will be the actual percentage capital loss on each bond? What percentage capital loss would be predicted by the duration-with-convexity rule? Complete this question by entering your answers in the tabs below. Required A Required B Suppose the yield to maturity on both bonds increases to 10%. What will be the actual percentage capital loss on each bond?…
Please answer both parts
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?
The current zero-coupon yield curve for risk-free bonds is as follows What is the price per $100 face value of a four-year, zero-coupon, risk-free bond? The price per $100 face value of the four-year, zero-coupon, risk-free bond is $_______(Round to the nearest cent.)
The yield curve for default-free zero-coupon bonds is currently as follows: Maturity (years) YTM 1 9.8% 2 10.8 3 11.8 Required: a. What are the implied one-year forward rates? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Maturity (years) YTM Forward rate 1 9.8% 2 3 10.8% 11.8% % % b. Assume that the pure expectations hypothesis of the term structure is correct. If market expectations are accurate, what will the pure yield curve (that is, the yields to maturity on one- and two-year zero-coupon bonds) be next year? O There will be a shift upwards in next year's curve. O There will be a shift downwards in next year's curve. O There will be no change in next year's curve. c. What will be the yield to maturity on two-year zeros? (Do not round intermediate calculations. Round your answers to 2 decimal places.) YTM % d. If you purchase a two-year zero-coupon bond now, what is the expected total rate of return over the next year? (Hint: Compute the current…
Suppose you want to figure out the relationship between duration and maturity, so you consider the following three T-Bonds. You compute a. The duration of a two-year Treasury bond with a 10 percent semiannual coupon selling at par b. The duration of a three-year Treasury bond with a 10 percent semiannual coupon selling at par c. The duration of a four-year Treasury bond with a 10 percent semiannual coupon selling at par
Consider a bond selling at par with modified duration of 10.6 years and convexity of 210. A 2% decrease in yield would cause the price to increase by 21.2%, according to the duration rule. What would be the percentage price change according to the duration-with-convexity rule? O [A] 21.2% O [B] 25.4% O [C] 17.0% O [D] 10.6%
Yield to maturity The relationship between a bond's yield to maturity and coupon interest rate can be used to predict its pricing level. For the bond listed below, state whether the price of the bond will be at a premium to par, at par, or at a discount to par. Coupon interest rate Yield to maturity 10% 8% What is the price of the bond in relation to its par value? (Select the best answer below.) O A. The bond sells at a discount to par. OB. The bond sells at par. OC. The bond sells at a premium to par.
Consider the characteristics of two annual pay bonds from the same issuer with the same priority in the event of default: You also observe the following spot interest rates from the current yield curve: Par value Coupons Maturity Coupon rate Yield to maturity Price Bond A $100 Annual 3 yrs 8% 10.25% 94.43 1 2 3 Bond B $100 Annual 3 yrs 4% 10.35% 84.31 Term (yrs) Spot Rates (zero coupon, %) 4% 7 10 Neither bond's price is consistent with the spot rates. Using the information in these displays, recommend either Bond A or Bond B for purchase. Justify your choice. Do not round intermediate calculations. Round your answers to the nearest cent. The non-arbitrage price of Bond A: $ The non-arbitrage price of Bond B: $ -Select- ✓ appears to be the better purchase.
13. Consider a coupon bond with coupon payment=4.25, M=100, and n=2. Suppose ?1 = 4% and ?2 = 4.24%. Consider a forward contract for the delivery of the coupon bond in one period from today. Calculate the forward price using the following two approaches: 1) use the forward rate to price the forward contract; 2) use the cost of carry approach: spot-forward parity adjusted for the coupons.
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.
Which of the following bonds will have the larger price change (dollar value) for a 75- basis point change in yield? A. A $120 dollar bond with duration 2.25 B. A $70 dollar bond with duration 3.25 C. A $160 dollar bond with duration 1.75 D. A $200 dollar bond with duration 1.25 E. A $300 dollar bond with duration 0.75

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