Consider two bonds, a 3-year bond paying an annual coupon of 6.80% and a 10-year bond also with an annual coupon of 6.80%. Both currently sell at a face value of $1,000. Now suppose interest rates rise to 11%. a. What is the new price of the 3-year bonds? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Bond price b. What is the new price of the 10-year bonds? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Bond price c. Which bonds are more sensitive to a change in interest rates? O Long-term bonds O Short-term bonds

Consider two bonds, a 3-year bond paying an annual coupon of 6.80% and a 10-year bond also with an annual coupon of 6.80%. Both currently sell at a face value of $1,000. Now suppose interest rates rise to 11%. a. What is the new price of the 3-year bonds? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Bond price b. What is the new price of the 10-year bonds? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Bond price c. Which bonds are more sensitive to a change in interest rates? O Long-term bonds O Short-term bonds

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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Suppose that the prices of zero-coupon bonds with various maturities are given in the following table. The face value of each bond is $1,000. Maturity (Years) 1 2 3 4 5 Price $983.78 865.89 797.92 732.00 660.24 Required: a. Calculate the forward rate of interest for each year. b. How could you construct a 1-year forward loan beginning in year 3? c. How could you construct a 1-year forward loan beginning in year 4?
Suppose the current interest rate on a one-year bond is 2% and the current interest rate on a two-year bond is 4%. The term premium on a two-year bond is 1%. According to the expectations hypothesis, what interest rate should we expect on a one-year bond next year? Answer as a percentage to one decimal place and do not include symbols (e.g. $, %, commas) in your answer. Answer:
Consider two bonds, a 3-year bond paying an annual coupon of 6.00% and a 10-year bond also with an annual coupon of 6.00%. Both currently sell at a face value of $1,000. Now suppose interest rates rise to 8%. a. What is the new price of the 3-year bonds? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Bond price b. What is the new price of the 10-year bonds? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Bond price c. Which bonds are more sensitive to a change in interest rates? Long-term bonds Short-term bonds
Suppose that the prices of zero-coupon bonds with various maturities are given in the following table. The face value of each bond is $1,000. Maturity (Years) 1 2 3 4 5 Required: a. Calculate the forward rate of interest for each year. b. How could you construct a 1-year forward loan beginning in year 3? c. How could you construct a 1-year forward loan beginning in year 4? Required A Price $940.93 Complete this question by entering your answers in the tabs below. 868.39 800.92 735.40 670.48 Required B Maturity (years) 2 3 Calculate the forward rate of interest for each year. Note: Round your answers to 2 decimal places. Required C Forward Rate % % Prov 12 of 12 Next
Let's denote the price of a nonmaturing bond (called a consol) as P. The equation that indicates this price is Pn =-, where I is the annual net income the bond generates and r is the nominal market interest rate. a. Suppose that a bond promises the holder $200 per year forever. The nominal market interest rate is 6 percent. Calculate the bond's current price: S. (Round your answer to the nearest whole dollar.)
Consider two bonds, a 3-year bond paying an annual coupon of 6.80% and a 10-year bond also with an annual coupon of 6.80%. Both currently sell at a face value of $1,000. Now suppose interest rates rise to 11%. a. What is the new price of the 3-year bonds? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What is the new price of the 10-year bonds? (Do not round intermediate calculations. Round your answer to 2 decimal places.) c. Which bonds are more sensitive to a change in interest rates? Long-term bonds Short-term bonds
Suppose that the prices of zero-coupon bonds with various maturities are given in the following table. The face value of each bond is $1,000. Maturity (Years) 1 2 3 4 5 Show Transcribed Text B) How could you construct a 1-year forward loan beginning in year 3? (Face Value) C) How could you construct a 1-year forward loan beginning in year 4? (Face Value) Required A Required B Complete this question by entering your answers in the tabs below. Face value Rate of synthetic loan → Show Transcribed Text Price $ 970.93 898.39 836.92 How could you construct a 1-year forward loan beginning in year 3? Note: Round your Rate of synthetic loan answer to 2 decimal places. Required A 776.20 685.42 Required B Face value Rate of synthetic loan Required C 7.85 % Required C How could you construct a 1-year forward loan beginning in year 4? Note: Round your Rate of synthetic loan answer to 2 decimal places. Ċ 13.29 %
Consider two bonds, a 3-year bond paying annual coupons at 5% and a 10-year bond also paying annual coupons at 5%. Coupons are paid annually (not semiannually). Both are currently trading at par (i.e., price = face value). A. What must be the current discount rate for these bonds? B. Suppose that the discount rate for these bonds suddenly rise to 9%. What is the new price of the 3-year bond? What is the new price of the 10-year bond? C. Compare the price changes (i.e., the current price of $1,000 vs. the new bond price from Part B) of two bonds. Determine whether long-term or short-term bonds are more sensitive to interest rate fluctuation.
Consider a bond that has just paid a semi-annual coupon and has exactly 2.5 years to maturity and an annual coupon rate of 3.5%. Price the bond with a yield 4.2%. This is an annuity calculation and the stated yield and stated coupon are double the semi-annual yield and coupon. Use Table 6.1. (Do not round Intermediate calculations. Round the final answer to 2 decimal places. Omit $ sign In your response.) Price of the bond $
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Consider a semi-annual bond that has a par value of 100, a 15-year maturity, a 5% coupon rate. Monthly interest rate is 0.412%. (a) What is the price of the bond (without calculation)? And explain why you can determine the price of the bond without calculation? (b) Using answers from (a), calculate the modified duration of this bond. (c) Using answers from (a) and (b), suppose that the bond’s yield to maturity decreases to 3.5%. How much will the bond price increase by applying the duration rule?
Suppose you can observe that 1-year bond interest rate is 4%, 2-year bond interest rate is 8%, and 3-year bond interest rate is 10% at time t. It is also known that the term premium on a 2-year bond is 1% and the term premium on a 3-year bond is 1.5%. a) What are the market's expected 1-year bond interest rates for the next two years from time t? b) How to interpret those expected short-term interest rates? (what would be the "possible" economic meanings in the expected short- term interest rates?) Discuss as least two "candidates" to explain them.

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