GM has issued bonds that currently have a yield - to - maturity of 4%. These bonds have a modified duration of 6.15 and a convexity measure of 46. Approximate the percentage change in the price of these bonds if the yield - to - maturity increases to 4.75 % . Please write your answer using at least 3 decimal places. Using the information from the previous problem and assuming that the current price of the GM bond is $1,085, calculate th

GM has issued bonds that currently have a yield - to - maturity of 4%. These bonds have a modified duration of 6.15 and a convexity measure of 46. Approximate the percentage change in the price of these bonds if the yield - to - maturity increases to 4.75 % . Please write your answer using at least 3 decimal places. Using the information from the previous problem and assuming that the current price of the GM bond is $1,085, calculate th

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 current yield on a 1 year treasury bond is. 91% and the current yield on a 2 year treasury bond is 1.36\%. What is the expected yield on a 1 year treasury bond, 1 year from today (forward rate)? Use 100 par value in your calculation. Enter your answer in decimal format (0123), not percentage format (1.23\%). Round to 4 decimal places.
GM has issued bonds that currently have a yield-to-maturity of 4%. These bonds have a modified duration of 6.15 and a convexity measure of 46. Approximate the percentage change in the price of these bonds if the yield-to-maturity increases to 4.75%. Please write your answer using at least 3 decimal places.
You are given the following information. All bonds are from the same issuer (same credit risk). Bond Coupon Rate Maturity Price ($) 6% 1036.17 5% 2 1041.49 C 6% 3 1074.21 All coupon payments are annual and face values are $1000. Answer the following and express rates as a %, to 2 decimal places a) Determine the 1-, 2- and 3-year spot rates from the given prices (Use the Bootstrapping method). 1- Year Spot rate is 2- Year Spot rate is 3- Year Spot rate is b) Compute the implied annual forward rate from year one to year two, i.e., f2 --> c) Compute the implied annual forward rate from year two to year three, i.e., f3 -->
The following table shows some data for three bonds. In each case, the bond has a coupon of zero. The face value of each bond is $1,000. Bond Price Maturity (Years) Yield to Maturity A $ 230 20 B с 230 17 10% 9 What is the yield to maturity of bond A? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 3 decimal places. Assume annual compounding. What is the maturity of B? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Assume annual compounding. What is the price of C? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Assume annual compounding.
A bond's credit rating provides a guide to its price. Assume Aaa bonds yield 3.6% and Baa bonds yield 4.6%. Assume a 10% five-year bond with annual coupons and a face value of $1,000. (Do not round intermediate calculations. Round your answers to 2 decimal places.) a. What is the bond's price if it is rated as Aaa? b. What is the bond's price if it is rated as Baa?
The following table shows some data for three bonds. In each case, the bond has a coupon of zero. The face value of each bond is $1,000. Bond Price $ 260 260 A B C Maturity (Years) 20 24 Yield to Maturity a. Yield to maturity b. Maturity c. Price a. What is the yield to maturity of bond A? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 3 decimal places. Assume annual compounding. 10% 9 b. What is the maturity of B? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Assume annual compounding. c. What is the price of C? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Assume annual compounding. 2.600 % years
A Treasury bond that settles on October 18, 2022, matures on March 30, 2041. The coupon rate is 6.10 percent, and the bond has a yield to maturity of 5.57 percent. What are the Macaulay duration and modified duration? Note: Use the duration functions in Excel to solve the problem. Do not round intermediate calculations. Round your answers to 4 decimal places. Answer is complete but not entirely correct. Macaulay duration 11.4179 Modified duration 10.8154 X
The following table shows some data for three bonds. In each case, the bond has a coupon of zero. The face value of each bond is $1,000. Bond Price Maturity (Years) Yield to Maturity A $ 300 30 — B 300 — 8% C — 10 10 What is the yield to maturity of bond A? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 3 decimal places. Assume annual compounding. What is the maturity of B? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Assume annual compounding. What is the price of C? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Assume annual compounding.
The following table summarizes prices of various default-free zero-coupon bonds (expressed as a percentage of the face value): Maturity (years) Price (per $100 face value) 1 $96.32 a. Compute the yield to maturity for each bond. b. Plot the zero-coupon yield curve (for the first five years). c. Is the yield curve upward sloping, downward sloping, or flat? a. Compute the yield to maturity for each bond. The yield on the 1-year bond is %. (Round to two decimal places.) 2 $91.93 3 $87.36 4 5 $82.57 $77.42
Calculate the purchase price of the following bonds. Indicate whether the bonds are priced at a discount, at par or at a premium. Give your answers in dollars and cents to the nearest cent. Face Value Coupon Rate Years to Maturity Market Rate a) $100 r = 6.75% 5 j2 = 6.75% b) $1,000 r = 8% 11 j2 = 6.25% c) $10,000 r = 7% 20 j2 = 8.75% Quoted coupon rates and market rates are nominal annual rates compounded semi-annually. a)Price = $ This bond is priced at:a discountpara premium b)Price = $ This bond is priced at:a discountpara premium c)Price = $ This bond is priced at:a discountpara premium
Suppose that all bonds have $1,000 of face value. The current prices of zero coupon bonds are as follows: $960 for a one-year bond; $910 for a two-year bond; $850 for a three-year bond. a. What is the price of a three-year bond with 8% annual coupon payment? b. What is the YTM of the two-year zero coupon bond? c. Consider the following two-year bonds: (i) a zero coupon bond as above; (ii) a bond with 6% annual coupon payment. Whose YTM is higher?
An investor must choose between two bonds: Bond A pays $102 annual interest and has a market value of $890. It has 10 years to maturity. Bond B pays $88 annual interest and has a market value of $800. It has five years to maturity. Assume the par value of the bonds is $1,000. a. Compute the current yield on both bonds. (Do not round intermediate calculations. Input your answers as a percent rounded to 2 decimal places.) b. Which bond should she select based on your answers to part a? multiple choice 1 Bond A Bond B c. A drawback of current yield is that it does not consider the total life of the bond. For example, the approximate yield to maturity on Bond A is 12.10 percent. What is the approximate yield to maturity on Bond B? The exact yield to maturity? (Use the approximation formula to compute the approximate yield to maturity and use the calculator method to compute the exact yield to maturity. Do not round intermediate calculations. Input your answers as…

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