The yield to maturity on 1-year zero-coupon bonds is currently 7%; the YTM on 2-year zeros is 8%. The Treasury plans to issue a 2-yearmaturity coupon bond, paying coupons once per year with a coupon rate of 9%. The face value of the bond is $100.a. At what price will the bond sell? (Do not round intermediate calculations. Round your answer to 2 decimal places.)b. What will the yield to maturity on the bond be? (Do not round intermediate calculations. Round your answer to 3 decimal places.)c. If the expectations theory of the yield curve is correct, what is the market expectation of the price that the bond will sell for nextyear? (Do not round intermediate calculations.Round your answer to 2 decimal places.)d. Recalculate your answer to part (c) if you believe in the liquidity preference theory and you believe that the liquidity premium is 1%.(Do not round intermediate calculations. Round your answer to 2 decimal places.)a. Priceb. Yield to maturityc. Priced. Price%

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Answered: The yield to maturity on 1-year…

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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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 6.00% 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 you buy a 1-year maturity bond with a coupon of 7% paid annually. If you buy the bond at its face value, what real rate of return will you earn if the inflation rate is 4%? 6%? 8%? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Negative amount should be indicated by a minus sign.)
Consider the following. a. What is the duration of a two-year bond that pays an annual coupon of 12 percent and whose current yield to maturity is 14 percent? Use $1,000 as the face value. (Do not round intermediate calculations. Round your answer to 3 decimal places. (e.g., 32.161)) b. What is the expected change in the price of the bond if interest rates are expected to decrease by 0.4 percent? (Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 2 decimal places. (e.g., 32.16)) Answer is complete but not entirely correct. a. Duration of bond 1.899 b. Expected change in the price $ 7.32x
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
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
Consider three bonds with 8% coupon rates, all making annual coupon payments and all selling at face value. The short-term bond has a maturity of 4 years, the intermediate-term bond has a maturity of 8 years, and the long-term bond has a maturity of 30 years. a. What will be the price of the 4-year bond if its yield increases to 9%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What will be the price of the 8-year bond if its yield increases to 9%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) c. What will be the price of the 30-year bond if its yield increases to 9%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) d. What will be the price of the 4-year bond if its yield decreases to 7%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) e. What will be the price of the 8-year bond if its yield decreases to 7%? (Do not round intermediate…
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The closing price of a U.S. Treasury bond with a face value of $1400 is quoted as 105.45 points, for a current yield of 3.7%. If you buy this bond, how much annual interest will you receive? Make sure your final answer is in a statement form. Show all your math formula/setun math work, and your answer in the space below.
What is the Macaulay duration of a 7 percent semiannual coupon bond with two years to maturity and a current price of $1,055.30? (Note: You are required to solve the problem by calculating "Years \times PV / Bond Price" for each cash flow and summing the results. YTM and PV must be calculated using a financial calculator. Round your answer to four decimal places.)
Suppose that you buy a two-year 7.3% bond at its face value. a-1. What will be your total nominal return over the two years if inflation is 2.3% in the first year and 4.3% in the second? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Nominal return a-2. What will be your real return? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Real return % % Real return Nominal return b. Now suppose that the bond is a TIPS. What will be your total 2-year real and nominal returns? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) 1%
A newly issued bond pays its coupons once a year. Its coupon rate is 4.7%, its maturity is 15 years, and its yield to maturity is 7.7%. a. Find the holding-period return for a one-year investment period if the bond is selling at a yield to maturity of 6.7% by the end of the year. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Holding-period return % b. If you sell the bond after one year when its yield is 6.7%, what taxes will you owe if the tax rate on interest income is 40% and the tax rate on capital gains income is 30%? The bond is subject to original-issue discount (OID) tax treatment. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Tax on interest income $ Tax on capital gain $ Total taxes $ c. What is the after-tax holding-period return on the bond? (Do not round intermediate calculations. Round your answer to 2 decimal places.)…

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