Corporate Finance (The Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
11th Edition
ISBN: 9780077861759
Author: Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 25, Problem 6QP
Duration What is the duration of a bond with three years to maturity and a coupon of 6.1 percent paid annually if the bond sells at par?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
What is the Macaulay duration of a semi-annual bond with a coupon rate of 7 percent, five years to maturity, and a current price of $959? What is the modified duration?
Duration is __. years.
Modified duration is __ years.
how does the equation for valuing a bond change if semiannual payments are made? find the value of a 10-year, semiannual payment, 10% coupon bond if nominal rd equal 13%.
Question 1. Duration and Banking
Consider a 5-year bond with annual coupon payments. The bond has a face value (prin-
cipal) of $100 and sells for $95. Its coupon rate is 3%. (The coupon rate is the ratio
between the coupon value and the face value). The face value is paid at the maturity
year in addition to the last coupon payment.
1. Calculate the bond's yield to maturity (YTM) and duration using its YTM.
2. Suppose the bond's YTM changes in the same way as a 5-year T-bill interest rate.
Use the bond's modified duration to evaluate the relative change in the 5-year bond's
value if the interest rate on 5-year T-bills falls by one basis point, that is, by 0.0001.
This part was extracted from the balance sheet of the First Bank of Australia:
Assets (Billion AUD)
Bond 80
Liabilities (Billion AUD)
Fixed-rate liabilities 60
where "Bond" here refers to the bond we specified above and the fixed-rate liabilities
(banks future payment obligations) have an average duration of 4 years and YTM of…
Chapter 25 Solutions
Corporate Finance (The Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Ch. 25 - Prob. 1CQCh. 25 - Prob. 2CQCh. 25 - Prob. 3CQCh. 25 - Prob. 4CQCh. 25 - Prob. 5CQCh. 25 - Prob. 6CQCh. 25 - Option Explain why a put option on a bond is...Ch. 25 - Hedging Interest Rates A company has a large bond...Ch. 25 - Prob. 9CQCh. 25 - Prob. 10CQ
Ch. 25 - Prob. 11CQCh. 25 - Prob. 12CQCh. 25 - Prob. 13CQCh. 25 - Prob. 14CQCh. 25 - Hedging Strategies William Santiago is interested...Ch. 25 - Prob. 16CQCh. 25 - Prob. 1QPCh. 25 - Prob. 2QPCh. 25 - Prob. 3QPCh. 25 - Prob. 4QPCh. 25 - Prob. 5QPCh. 25 - Duration What is the duration of a bond with three...Ch. 25 - Duration What is the duration of a bond with four...Ch. 25 - Duration Blue Stool Community Bank has the...Ch. 25 - Prob. 9QPCh. 25 - Prob. 10QPCh. 25 - Prob. 11QPCh. 25 - Prob. 12QPCh. 25 - Prob. 13QPCh. 25 - Forward Pricing You enter into a forward contract...Ch. 25 - Forward Pricing This morning you agreed to buy a...Ch. 25 - Prob. 16QPCh. 25 - What is the monthly mortgage payment on Jerrys...Ch. 25 - Prob. 2MCCh. 25 - Prob. 3MCCh. 25 - Prob. 4MCCh. 25 - Suppose that in the next three months the market...Ch. 25 - Are there any possible risks Jennifer faces in...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.Similar questions
- Bond Yields and Rates of Return A 10-year, 12% semiannual coupon bond with a par value of 1,000 may be called in 4 years at a call price of 1,060. The bond sells for 1,100. (Assume that the bond has just been issued.) a. What is the bonds yield to maturity? b. What is the bonds current yield? c. What is the bonds capital gain or loss yield? d. What is the bonds yield to call?arrow_forwardCurrent Yield for Annual Payments Heath Food Corporations bonds have 7 years remaining to maturity. The bonds have a face value of 1,000 and a yield to maturity of 8%. They pay interest annually and have a 9% coupon rate. What is their current yield?arrow_forwardBond Valuation with Semiannual Payments Renfro Rentals has issued bonds that have a 10% coupon rate, payable semiannually. The bonds mature in 8 years, have a face value of $1,000, and a yield to maturity of 8.5%. What is the price of the bonds?arrow_forward
- Bond Value as Maturity Approaches An investor has two bonds in his portfolio. Each bond matures in 4 years, has a face value of 1,000, and has a yield to maturity equal to 9.6%. One bond, Bond C, pays an annual coupon of 10%; the other bond, Bond Z, is a zero coupon bond. Assuming that the yield to maturity of each bond remains at 9.6% over the next 4 years, what will be the price of each of the bonds at the following time periods? Fill in the following table:arrow_forwardYield to Maturity and Yield to Call Arnot International’s bonds have a current market price of $1,200. The bonds have an 11% annual coupon payment, a $1,000 face value, and 10 years left until maturity. The bonds may be called in 5 years at 109% of face value (call price = $1,090). What is the yield to maturity? What is the yield to call if they are called in 5 years? Which yield might investors expect to earn on these bonds, and why? The bond’s indenture indicates that the call provision gives the firm the right to call them at the end of each year beginning in Year 5. In Year 5, they may be called at 109% of face value, but in each of the next 4 years the call percentage will decline by 1 percentage point. Thus, in Year 6 they may be called at 108% of face value, in Year 7 they may be called at 107% of face value, and so on. If the yield curve is horizontal and interest rates remain at their current level, when is the latest that investors might expect the firm to call the bonds?arrow_forwardHow does the equation for valuing a bond change if semiannual payments are made? Find the value of a 10-year, semiannual payment, 10% coupon bond if nominal rd = 13%.arrow_forward
- What is the value of the following semi-annual bond? years face value: maturity: coupon rate: discount rate: $1,000 9.5 7% 7%arrow_forwardWhat is the price of the following semi-annual bond? face value: maturity: years coupon rate: discount rate: $1,000 10 8% 9%arrow_forwardWhat is the price of the following quarterly bond? years face value: maturity: coupon rate: discount rate: 1,000 10% 8% 10arrow_forward
- A premium annual - pay bond pays a $77 coupon, has a yield to maturity of 5.77 %, and is priced at $ 1,153.43. How many years till the bond matures? Answer in years to at least two decimal places.arrow_forwardWhat is the purchase price for a bond that is paying 6 percent annual coupon rate in Semi-annual payments if its Yield to Maturity is 10 % and it has 10 years and 10 months from its purchase date until its maturity? What is the accrued interest rate? Assume the bond is traded in a year of 366 days when calculating the accrued interest.arrow_forwardWhat is the fair price of a bond assuming that the annual rate is 2.42% if its face value is Php 724,800, the maturity date is 29 years from now and that the coupon rate is 4.92% payable quarterly?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Intermediate Financial Management (MindTap Course...FinanceISBN:9781337395083Author:Eugene F. Brigham, Phillip R. DavesPublisher:Cengage Learning
Pfin (with Mindtap, 1 Term Printed Access Card) (...FinanceISBN:9780357033609Author:Randall Billingsley, Lawrence J. Gitman, Michael D. JoehnkPublisher:Cengage Learning
Intermediate Financial Management (MindTap Course...
Finance
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Cengage Learning
Pfin (with Mindtap, 1 Term Printed Access Card) (...
Finance
ISBN:9780357033609
Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Publisher:Cengage Learning
What is modified duration? | Dejargoned; Author: Mint;https://www.youtube.com/watch?v=5yLIybzb_OQ;License: Standard YouTube License, CC-BY