The YTM on a bond is the interest rate you earn on your investment if interest rates don'tchange. If you actually sell the bond before it matures, your realized return is known asthe holding period yield (HPY).a. Suppose that today you buy a bond with an annual coupon rate of 6 percent for$1,080. The bond has 13 years to maturity. What rate of return do you expect to earnon your investment? Assume a par value of $1,000. (Do not round intermediatecalculations and enter your answer as a percent rounded to 2 decimal places, e.g.,32.16.)b- Two years from now, the YTM on your bond has declined by 1 percent, and you1. decide to sell. What price will your bond sell for? (Do not round intermediatecalculations and round your answer to 2 decimal places, e.g., 32.16.)b- What is the HPY on your investment? (Do not round intermediate calculations and2. enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)a. Expected rate of returnb-1. Bond priceb-2. HPY%%

Part a: Expected Rate of Return (YTM) Part b-1: Bond Price After 2 Years with Declined YTMNew YTM =…

Answered: The YTM on a bond is the interest rate…

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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You plan to buy an 8% coupon 8-year maturity bond when market rate of return of similar bond is 10%. a) Calculate the proper price for this bond. b) TWO years later, the market rate has changed to 9% and the price of your bond has also changed accordingly. If you sell this bond at the market price, what is the ANNUAL rate of return from your investment in this bond? c) What will be your real rate of return over the two years if inflation rate is 3% in the first year and 5% in the second?
9. Interest Rate Risk. Suppose that you are a fixed income portfolio manager at Bourbon Street Capital. You have the following bonds issued by Royal, Inc. and Chartres, LLC in your portfolio and you want to understand the risk profile of your portfolio. Given that both bonds pay semiannual coupons, answer the following questions. (Remember to convert your answer to units of full years.) Coupon Yield to maturity Maturity (years) Royal, Inc. Chartres, LLC. Bond A Bond B 9% 8% 5 $100.00 $104.055 8% 8% 2 Par $100.00 Price $100.00 (a) What is the DV01 (at current prices) for bonds A and B? (b) What are the Macaulay Durations (at current prices) for the two bonds? (c) What are the modified durations for the two bonds? (d) What is the convexity of the two bonds?
Assume that the Pure Expectations Theory of the term structure is correct. Also assume that the interest rate today on a 9-year security is 6.40%, while the interest rate today on a 15-year security is 8.00%. Finally assume that the interest rate on a 3-year security to be bought at Year 9 and held over Years 10, 11, and 12 is 6.80%. Given this information, determine the average annual return that investors today must expect that they will receive from investing in a 3-year security in 12 Years (that is, buying the security at Year 12 and holding it over Years 13, 14, and 15). O 13.00% O 12.50% 13.50% O 12.00% O 14.00%
When you use the effective annual yield on a semi-annual coupon bond to price the corresponding annual coupon bond, do you get the same price?
2
The bond J is a bond with a coupon rate of 4%. The bond K is a bond with a coupon rate of 10%. Both bonds have a maturity of 8 years, make semi - annual payments, and have a yield to maturity of 9%. If interest rates suddenly increase by 2%, what is the percentage change in the price of these bonds? And if the rates suddenly decrease by 2%? What does this problem teach you about the interest rate risk of low - coupon bonds?
Suppose the interest rate on a 1-year T-bond is 5.00% and that on a 2-year T-bond is 6.40%. Assume that the pure expectations theory is NOT valid, and the MRP is zero for a 1-year T-bond but 0.40% for a 2-year bond. What is the yield on a 1-year T-bond expected to be one year from now?
Suppose the real risk-free rate of interest is r=4% and it is expected to remain constant over time. Inflation is expected to be 1.60% per year for the next two years and 3.90% per year for the next three years. The maturity risk premium is 0.1 x (t-1) %, where t is number of years to maturity, a liquidity premium is 0.45%, and the default risk premium for a corporate bond is 1.40%, The average inflation during the first 4 years is What is the yield on a 4-year Treasury bond? O 6.75% O 8.90% O 4.30% O 7.05% What is the yield on a 4-year BBB-rated bond? O 7.50% O 7.05 % O 8.45% 8.90% If the yield on a 5-year Treasury bond is 7.38% and the yield on a 6-year Treasury bond is 7.83%, the expected inflation in 6 years is (Hint: Do not round intermediate calculations.)
In calculating the current price of a bond paying semiannual coupons, one needs to O use double the number of years for the number of payments made. O use the semiannual coupon. O use the semiannual rate as the discount rate. O All of the above needs to be done.
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.
TRD company is looking to expand their operations. They are evaluating their cost of capital based on various financing options. Investment bankers informed them that they can issue new debt in the form of bonds at a cost of 8%, and issue new preferred stocks for the price of $25 per share paying $2.5 dividends per share. Their common stock is currently selling for $20 per share and will pay a dividend of $1.5 per share next year. They expect a growth rate in dividends of 5% per year, and their marginal tax rate is 35%. a) If TRD raises capital using 45%debt,5%preferred stock,and 50%common stock. What is their cost of capital? b)If TRD raises capital using 30%debt,5%preferred stock,and65%common stock.What is their cost of capital? c)Evaluate the two finance options and identify which one they should choose?
Suppose you are given the following information about the default-free, coupon-paying yield curve: Maturity (years) Coupon rate (annual payment) YTM a. Use arbitrage to determine the yield to maturity of a two-year zero-coupon bond. b. What is the zero-coupon yield curve for years 1 through 4? Note: Assume annual compounding. a. Use arbitrage to determine the yield to maturity of a two-year zero-coupon bond. The yield to maturity of a two-year, zero-coupon bond is %. (Round to two decimal places.) b. What is the zero-coupon yield curve for years 1 through 4? The yield to maturity for the three-year and four-year zero-coupon bond is found in the same manner as the two-year zero-coupon bond. The yield to maturity on the three-year, zero-coupon bond is %. (Round to two decimal places.) %. (Round to two decimal places.) The yield to maturity on the four-year, zero-coupon bond is Which graph best depicts the yield curve of the zero-coupon bonds? (Select the best choice below.) O A. 8- 7- 6-…

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