A 13.25-year maturity zero-coupon bond selling at a yield to maturity of 8% (effective annual yield) has convexity of 161.9 and modifiedduration of 12.27 years. A 40-year maturity 6% coupon bond making annual coupon payments also selling at a yield to maturity of 8%has nearly identical modified duration-12.30 years-but considerably higher convexity of 272.9.Required:a. Suppose the yield to maturity on both bonds increases to 9%.i. What will be the actual percentage capital loss on each bond?ii. What percentage capital loss would be predicted by the duration-with-convexity rule?Note: Do not round Intermediate calculations. Round your answers to 2 decimal places.i. Actual lossii. Predicted lossZero-Coupon BondCoupon Bond96%96%b. Suppose the yield to maturity on both bonds decreases to 7%.i. What will be the actual percentage capital gain on each bond?ii. What percentage capital gain would be predicted by the duration-with-convexity rule?Note: Do not round Intermediate calculations. Round your answers to 2 decimal places.Actual gainPredicted gainZero-Coupon Bond13.43 %13.40 %Coupon Bond

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Answered: A 13.25-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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10) Suppose a coupon bond with 10 years remaining to maturity is reported to have a duration equal to 6.7 years. Assuming a current interest rate of 9% and an estimated decrease in the interest rate to 8.8%, calculate the estimated percentage increase in the bond's price. Hint: Duration= a) 3.3% b) 2.7% c) 1.2% d) 0.6% %AP Ai/(1+io)
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…
A plot of the yields on bonds with different terms to maturity but the same risk, liquidity, and tax considerations is known as O A. a yield curve. B. a risk-structure curve. OC. a term-structure curve. 5- O D. an interest-rate curve. Suppose people expect the interest rate on one-year bonds for each of the next four years to be 3%, 6%, 5%, and 6%. If the expectations theory of the term structure of interest rates is correct, then the implied interest rate on bonds with a maturity of four years is nearest whole number). %. (Round your response to the 2- Refer to the figure on your right. Suppose the expected interest rates on one-year bonds for each of the next four years are 4%, 5%, 6%, and 7%, respectively. 1. 1.) Use the line drawing tool (once) to plot the yield curve generated. 3 Term to Maturity in Years 2.) Use the point drawing tool to locate the interest rates on the next four years. 5. 3- Interest Rate .....
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.
Suppose 1-year Treasury bonds yield 4.40% while 2-year T-bonds yield 5.70%. Assuming the pure expectations theory is correct, and thus the maturity risk premium for T-bonds is zero, what is the yield on a 1-year T-bond expected to be one year from now? Do not round your intermediate calculations. Round your final answer to 2 decimal places. a. 7.02% b. 5.66% c. 5.05% Od. 4.92% e. 7.32%
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.
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
Required: a. Find the duration of a 8% coupon bond making annual coupon payments if it has three years until maturity and a yield to maturity of 6.9%. (Do not round intermediate calculations. Round your answers to 4 decimal places.) b. What is the duration if the yield to maturity is 10.9% ? (Do not round intermediate calculations. Round your answers to 4 decimal places.) YTM a. 6.9% YTM b. 10.9% YTM Duration Years Years

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