Consider the following portfolio of four bonds: Bond Years to K L Maturity 3 6 10 15 Annual Coupon 5% Yield to Maturity 4% Proportion in Portfolio 0.5 0% 4% M 0% 4% N 0% 4% What is the modified duration of this portfolio (round your answer to two decimal places)? 0.3 0.1 0.1

Consider the following portfolio of four bonds: Bond Years to K L Maturity 3 6 10 15 Annual Coupon 5% Yield to Maturity 4% Proportion in Portfolio 0.5 0% 4% M 0% 4% N 0% 4% What is the modified duration of this portfolio (round your answer to two decimal places)? 0.3 0.1 0.1

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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QUESTION 1 If the yield to maturity for a one year zero coupon bond is 5.2% and the yield to maturity for a 2 year zero coupon bond is 5.8%, what is the implied future short rate from year 1 to 2 (use 5 decimal places, write 3.333% as .03333)?
O ook int ences You find the following Treasury bond quotes. To calculate the number of years until maturity, assu of the bonds have a par value of $1,000 and pay semiannual coupons. Rate ?? 6.052 6.143 Maturity Month/Year May 33 May 36 May 42 Yield to maturity Asked Bid 103.4560 103.5288 104.4900 104.6357 ?? Change Ask Yield +.3248 5.00 % +.4245 +.5353 In the above table, find the Treasury bond that matures in May 2036. What is your yield to matur Note: Do not round intermediate calculations and enter your answer as a percent rounded to 5.919 ?? 3.951
Suppose a 4-year, 3% annual coupon payment bond has the following sequence of spot rates: Time to maturity Spot rates 1 year 0.39% 2 years 1.40% 3 years 2.50% 4 years 3.60% Assume a par value of $100. What is the yield to maturity for this bond? A. 4.52% B. 3.52% C. 5.12% D. 6.12%
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…
Part 1 Consider a five-year, default-free bond with annual coupons of 5% and a face value of $1,000 and assume zero-coupon yields on default-free securities are as summarized in the following table: Maturity 1 year 2 years 3 years 4 years 5 years Zero-Coupon Yields 4.00% 4.30% 4.50% 4.70% 4.80% a. What is the yield to maturity on this bond? b. If the yield to maturity on this bond increased to 5.20%, what would the new price be?
Question 2A. A bond has a face value of $2000, a coupon rate of 6% and matures in 10years’ time. If its current yield to maturity is 8% what is the current price ofthe bond? If the yield falls to 4% determine the bond price. What do theseresults indicate about the relationship between the price of a bond and itsyield to maturity? B. You are asked to put a value on a bond which promises eight annual couponpayments of £70 and will repay its face value of £1000 at the end of eightyears. You observe that other similar bonds have yields to maturity of 9 percent. How much is this bond worth? You are offered the bond for a priceof £1030.44. What yield to maturity does this represent? C. Explain in detail the trade-off model of capital structure. In light of the currentglobal financial challenge, discuss which elements of the model areexpected to become most prevalent?
4. Calculate the Macauley Duration of your Bond at the given Yield-To-Maturity. Bond Pricing Date Annual Coupon Rate Number Coupons per year Maturity Date Yield Par Value Currency Treasury 22-Oct-20 1.625% 2 22-Oct-28 2.00% 1,000,000 GBP
3. Interest rate swap. Consider a portfolio of floating-rate bonds that all mature in three years. What is the fixed coupon rate for a fairly priced fixed-for-floating interest rate swap given the following discount factors? Years 2. 0.,95 06'0 0.86
7. Consider a three-bond portfolio below: Bond Coupon rate Maturity 1 2 3 10 2 2 3 8 6 Calculate the yield of the portfolio. Par value $10m $5m $10m Price $9.5m $4m $9.8m Yield-to-maturity 11% 6.5% 7%
You find the following Treasury bond quotes. To calculate the number of years until maturity, assume that it is currently May 2022. All of the bonds have a par value of $1,000 and pay semiannual coupons. Rate ?? 6.152 6.153 Maturity Month/Year May 35 May 38 May 44 Bid 103.4586 104.4926 ?? Yield to maturity Asked 103.5314 % 104.6383 ?? Change Ask Yield +.3274 5.959 ?? 3.991 In the above table, find the Treasury bond that matures in May 2038. What is your yield to maturity if you buy this bond? Note: Do not round Intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. +.4269 +.5379
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