INVESTMENTS-CONNECT PLUS ACCESS
11th Edition
ISBN: 2810022611546
Author: Bodie
Publisher: MCG
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Chapter 14, Problem 7PS
Summary Introduction
Introduction:
Bonds and borrowing arrangements are debt securities. A contract that is made between the issuer and the investor allowing the issuer to borrow some money from the investor at certain predetermined terms is debt security. These promise to provide the investor with some income. This income could be fixed income or an income which is calculated as per a formula. Fixed income securities is another term used for debt securities. Over a certain period of time, the issuer is obliged to make specific payments to the holder in this type of securities.
To determine:
The coupon rate that a treasury bond has to pay to sell at par when the coupons are paid annually
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Treasury bonds paying an 12.0% coupon rate with semiannual payments currently sell at par value. What coupon rate would they have to pay in order to sell at par if they paid their coupons annually? (Hint: What is the effective annual yield on the bond?) (Round your answer to 2 decimal places.)
The Expectations theory suggests that under certain conditions all bonds outstanding, especially Treasury bonds, must have identical total returns over a 1-year holding period, independently of their final maturity.
suppose that today’s interest rate on a 2-year default free zero-coupon Treasury bond that pays $100 at maturity (0i0,2) is 6%. What is today’s price of such a bond (that is, what would you pay to purchase such a bond)?
If the real rate of interest is 2%, inflation is expected to be 3% during the coming year, and the default risk premium, illiquidity risk premium, and maturity risk premium for the Bonds-R-Us Corporation are all 1% each, what would be the yield (stated rate) on a Bonds-R-Us bond?
Chapter 14 Solutions
INVESTMENTS-CONNECT PLUS ACCESS
Ch. 14 - Prob. 1PSCh. 14 - Prob. 2PSCh. 14 - Prob. 3PSCh. 14 - Prob. 4PSCh. 14 - Prob. 5PSCh. 14 - Prob. 6PSCh. 14 - Prob. 7PSCh. 14 - Prob. 8PSCh. 14 - Prob. 9PSCh. 14 - Prob. 10PS
Ch. 14 - Prob. 11PSCh. 14 - Prob. 12PSCh. 14 - Prob. 13PSCh. 14 - Prob. 14PSCh. 14 - Prob. 15PSCh. 14 - Prob. 16PSCh. 14 - Prob. 17PSCh. 14 - Prob. 18PSCh. 14 - Prob. 19PSCh. 14 - Prob. 20PSCh. 14 - Prob. 21PSCh. 14 - Prob. 22PSCh. 14 - Prob. 23PSCh. 14 - Prob. 24PSCh. 14 - Prob. 25PSCh. 14 - Prob. 26PSCh. 14 - Prob. 27PSCh. 14 - Prob. 28PSCh. 14 - Prob. 29PSCh. 14 - Prob. 30PSCh. 14 - Prob. 31PSCh. 14 - Prob. 1CPCh. 14 - Prob. 2CPCh. 14 - Prob. 3CPCh. 14 - Prob. 4CPCh. 14 - Prob. 5CP
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- A bond that pays interest semiannually has a price of $981.73 and a semiannual coupon payment of $27.75. If the par value is $1,000, what is the current yield?arrow_forwardTreasury bonds paying an 5.50% coupon rate with semiannual payments currently sell at par value. What coupon rate would they have to pay in order to sell at par if they paid their coupons annually? (Do not round intermediate calculations. Round your answer to 2 decimal places.)arrow_forwardWhat is interest rate (or price) risk? Which bondhas more interest rate risk: an annual payment1-year bond or a 10-year bond? Why?arrow_forward
- The prices of zero-coupon bonds with various maturities are given: maturity in years price 1 975.66 2 885.89 3 821.92 4 759.20 5 670.20 A) How could you construct a 1-year forward loan beginning in year 3? face value = ? rate of synthetic loan = ? B) How could you construct a 1-year forward loan beginning in year 4? face value = ? rate of synthetic loan = ?arrow_forwardAnswer number 1 and 2: 1.) Suppose the yield on a 10-year T-bond is currently 5.05% and that on a 10-year Treasury Inflation Protected Security (TIPS) is 2.15%. Suppose further that the MRP on a 10-year T-bond is 0.90%, that no MRP is required on a TIPS, and that no liquidity premium is required on any T-bond. Given this information, what is the expected rate of inflation over the next 10 years? Disregard cross-product terms, i.e., if averaging is required, use the arithmetic average. 2.) Koy Corporation's 5-year bonds yield 7.00%, and 5-year T-bonds yield 5.15%. The real risk-free rate is r* = 3.0%, the inflation premium for 5-year bonds is IP = 1.75%, the liquidity premium for Koy's bonds is LP = 0.75% versus zero for T-bonds, and the maturity risk premium for all bonds is found with the formula MRP = (t − 1) × 0.1%, where t = number of years to maturity. What is the default risk premium (DRP) on Koy's bonds?arrow_forwardSuppose that the current one-year rate (one-year spot rate) and expected one-year government bonds over years 2, 3 and 4 are as follows: 1R1 = 4.80%, E(2r1) = 5.45%, E(3r1) = 5.95%, E(4r1) = 6.10% Assume that there are no liquidity premiums. To the nearest basis point, what is the current rate for the four-year-maturity government bond? 5.57% 5.62% 5.83% 6.10%arrow_forward
- Suppose 2-year Treasury bonds yield 4.1%,while 1-year bonds yield 3.2%. r* is 1%, and the maturity risk premium is zero.a. Using the expectations theory, what is the yield on a 1-year bond, 1 year from now?Calculate the yield using a geometric average.b. What is the expected inflation rate in Year 1? Year 2?arrow_forwardSuppose 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?arrow_forwardSuppose that the current one-year rate (one-year spot rate) and expected one-year government bonds over years 2, 3 and 4 are as follows: 1R₁ = 4.80%, E(2r₁) = 5.45%, E(3r₁) = 5.95%, E(41) = 6.10% Assume that there are no liquidity premiums. To the nearest basis point, what is the current rate for the four-year-maturity government bond? A. 5.57% B. 5.62% C. 5.83% D. 6.10%arrow_forward
- Use the following zero-coupon bond prices to answer the next questions: Days to Maturity Zero-Coupon Bond Price 90 180 270 360 0.99009 0.97943 0.96525 0.95238 What is the rate on a synthetic FRA for a 90-day loan commencing on day 90? A 180-day loan commencing on day 90? A 270-day loan commencing on day 90?arrow_forwardBond X is a premium bon making annual payments. The bond pays 8% coupon, has YTM of 6% and has 13 years to maturity. Bond Y is a discount bond making annual payments. This bond pays a 6% coupon, has an YTM of 8% and also has 13 years to maturity. The nominal value of both bonds is £1,000. What are the prices of these bonds today? If interest rates remain unchanged, what do you expect the prices of these bonds to be in one year? In three years? In eight years? In twelve, thirteen years? What is going on here? Illustrate your answers by graphing bond prices versus time to maturity.arrow_forwardA one-year zero coupon bond costs $99.43 today. Exactly one year from today, it will pay $100. What is the annual yield-to-maturity of the bond? (1.e., what is the discount rate one needs to use to get the price of the bond given the future cash flow of $100 in one year?) 1.0057 0.0057 2.0057 -0.0057arrow_forward
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