The rise and fall of a bond's price has a direct inverse relationship to its yield to maturity, or interest rate. As prices go up, the yield declines and vice versa. For example, a $1,000 bond might carry a stated annual yield, known as the coupon of 8%, meaning that it pays $80 a year to the bondholder. If that bond was bought for $870, the actual yield to maturity would be 9.2% ($80 annual interest on $870 of principal). Do you agree with this analysis? Briefly explain.

The rise and fall of a bond's price has a direct inverse relationship to its yield to maturity, or interest rate. As prices go up, the yield declines and vice versa. For example, a $1,000 bond might carry a stated annual yield, known as the coupon of 8%, meaning that it pays $80 a year to the bondholder. If that bond was bought for $870, the actual yield to maturity would be 9.2% ($80 annual interest on $870 of principal). Do you agree with this analysis? Briefly explain.

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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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?
The real risk-free rate is 3 percent. Inflation is expected to average 2 percent a year for the next 3 years, after which the inflation is expected to average 3.5 percent a year. Assume that there is no maturity risk premium. A 7-year corporate bond has a yield of 7.6 percent. Assume that the liquidity premium on the corporate bond is 0.4 percent. What is the default risk premium on the corporate bond?
The real risk-free rate, r, is 1.3%. Inflation is expected to average 1.1% a year for the next 4 years, after which time inflation is expected to average 3.8% a year. Assume that there is no maturity risk premium. An 8-year corporate bond has a yield of 9.8%, which includes a liquidity premium of 0.4%. What is its default risk premium? Do not round Intermediate calculations. Round your answer to two decimal places.
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.)
A bond has a Macaulay duration of 12.00 and is priced to yield 10.0%. If interest rates go up so that the yield goes to 10.5%, what will be the percentage change in the price of the bond? Now, if the yield on this bond goes down to 9.5%, what will be the bond's percentage change in price? Comment on your findings.
The real risk-free rate, r*, is 1.4%. Inflation is expected to average 1.2% a year for the next 4 years, after which time inflation is expected to average 4.3% a year. Assume that there is no maturity risk premium. An 8-year corporate bond has a yield of 10.7%, which includes a liquidity premium of 0.7%. What is its default risk premium? Do not round intermediate calculations. Round your answer to two decimal places.
The real risk-free rate, r*, is 1.7%. Inflation is expected to average 1.4% a year for the next 4 years, after which time inflation is expected to average 4.4% a year. Assume that there is no maturity risk premium. A 9-year corporate bond has a yield of 11.0%, which includes a liquidity premium of 0.2%. What is its default risk premium? Do not round intermediate calculations. Round your answer to two decimal places. 3.2 % Hide Feedback
The following table shows the prices of a sample of Treasury bonds, all of which have coupon rates of zero. Each bond makes a single payment at maturity. Years to Maturity Price (% of face value) 1 98.052% 2 94.551 3 90.744 4 86.680 What is the 1-year interest rate? What is the 3-year interest rate? What is the 4-year interest rate? Is the yield curve upward-sloping, downward-sloping, or flat? Is this the usual shape of the yield curve?
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.
A 5-year Treasury bond has a 4.6% yield. A 10-year Treasury bond yields 6.3%, and a 10-year corporate bond yields 8.85%. The market expects that inflation will average 2.1% over the next 10 years (IP10 = 2.1%). Assume that there is no maturity risk premium (MRP = 0) and that the annual real risk-free rate, r*, will remain constant over the next 10 years. (Hint: Remember that the default risk premium and the liquidity premium are zero for Treasury securities: DRP = LP = 0.) A 5-year corporate bond has the same default risk premium and liquidity premium as the 10-year corporate bond described. The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the question below. X Open spreadsheet What is the yield on this 5-year corporate bond? Round your answer to two decimal places. %
The real risk-free rate, r*, is 2%. Inflation is expected to average 3.45% a year for the next 4 years, after which time inflation is expected to average 3.9% a year. Assume that there is no maturity risk premium. An 8-year corporate bond has a yield of 10%, which includes a liquidity premium of 0.9%. What is its default risk premium? Do not round intermediate calculations. Round your answer to two decimal places.
Assume that all interest rates in the economy decline from 8 percent to 7 percent. Which of the following bonds will have the smallest percentage increase in price? A A 10-year zero coupon bond. B An 8-year bond with a 9 percent coupon. E A 3-year bond with a 10 percent coupon. D A 10-year bond with a 10 per coupon. A 1-year bond with a 15 percent coupon.

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