Suppose that a 30-year Treasury bond offers a 5% coupon rate, paid semi-annually. The market price of the bond is $1,000, equal to its par value. a. What is the payback period for this bond? b. With such a long payback period, is the bond a bad investment? c. What is the discounted payback period for the bond assuming its 4% coupon rate is the required return? What general principle does this example illustrate regarding a project’s life, its discounted payback period, and its NPV?

Suppose that a 30-year Treasury bond offers a 5% coupon rate, paid semi-annually. The market price of the bond is $1,000, equal to its par value. a. What is the payback period for this bond? b. With such a long payback period, is the bond a bad investment? c. What is the discounted payback period for the bond assuming its 4% coupon rate is the required return? What general principle does this example illustrate regarding a project’s life, its discounted payback period, and its NPV?

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter4: Bond Valuation

Section: Chapter Questions

Problem 5MC: What would be the value of the bond described in Part d if, just after it had been issued, the...

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1. Suppose that a 30-year Treasury bond offers a 5% coupon rate, paid semi-annually. The marketprice of the bond is $1,000, equal to its par value.a. What is the payback period for this bond?b. With such a long payback period, is the bond a bad investment?c. What is the discounted payback period for the bond assuming its 4% coupon rate is therequired return? What general principle does this example illustrate regarding a project’slife, its discounted payback period, and its NPV?2. Why is the NPV considered to be theoretically superior to all other capital budgeting techniques?Reconcile this result with the prevalence of the use of IRR in practice. How would you respond toyour CFO if she instructed you to use the IRR technique to make capital budgeting decisions onprojects with cash flow streams that alternate between inflows and outflows?
(a) You hold a consol that pays a coupon C in perpetuity. The current interest rate is i, and the average expectation in the market is that this will remain unchanged. What will be the price of the consol today? (b) In the next period however, the interest rate changes unexpectedly to i 0 . What is the new price of the bond? If the bond is sold at the beginning of that next period, what is the yield from the consol? Does the yield increase or decrease if i 0 > i? (c) Suppose alternatively that the market expects that the interest rate will change to i 0 after the initial period. What is the initial value of the consol, and what is the yield from selling it after one period?
a) You hold a consol that pays a coupon in perpetuity. The current interest rate is i , and the average expectation in the market is that this will remain unchanged. What will be the price of the consol today? b) In the next period however, the interest rate changes unexpectedly to i 0. What is the new price of the bond? If the bond is sold at the beginning of that next period, what is the yield from the consol? Does the yield increase or decrease if 0 > i?
(a) You hold a consol that pays a coupon C in perpetuity. The current interest rate is i, and the average expectation in the market is that this will remainunchanged. What will be the price of the consol today? (b) In the next period however, the interest rate changes unexpectedly to i'. What is the new price of the bond? If the bond is sold at the beginning of that next period, what is the yield from the consol? Does the yield increase or decrease if i'> i? (c) Suppose alternatively that the market expects that the interest rate will change to i' after the initial period. What is the initial value of the consol, and whatis the yield from selling it after one period?
(a) You hold a two period bond that pays a coupon C at the end of each period. The interest rate is expected to be i for each of these periods. What is the price of the bond today? || (b) The interest rate changes to i' in the second period. Evaluate the rates of return when you sell the bond after one period in the case of the change being (i) anticipated (ii) unanticipated.
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?
3. Suppose a bond with face value of $5,000 pays a semi-annual coupon of $60 and is currently priced at $4,200. What is a coupon rate? What is the current yield?
d. If you hold the bonds for one year, and interest rates do not change, what total rate of return will you earn, assuming that you pay the market price? Why is this different from the current yield and YTM?
The YTM on a bond is the interest rate you earn on your investment if interest rates don’t change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). a. Suppose that today you buy a bond with an annual coupon of 11 percent for $1,130. The bond has 18 years to maturity. What rate of return do you expect to earn on your investment? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b-1. Two years from now, the YTM on your bond has declined by 1 percent and you decide to sell. What
(Using algabreic formula to answer) (a) You hold a consol that pays a coupon C in perpetuity. The current interest rate is i, and the average expectation in the market is that this will remain unchanged. What will be the price of the consol today?(b) In the next period however, the interest rate changes unexpectedly to i'. What is the new price of the bond? If the bond is sold at the beginning of that next period, what is the yield from the consol? Does the yield increase or decrease if i' > i? (c) Suppose alternatively that the market expects that the interest rate will changeto i' after the initial period. What is the initial value of the consol, and what is the yield from selling it after one period?
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)?
The YTM on a bond is the interest rate you earn on your investment if interest rates don't change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). a. Suppose that today you buy a bond with an annual coupon of 10 percent for $1,120. The bond has 17 years to maturity. What rate of return do you expect to earn on your investment? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b- Two years from now, the YTM on your bond has declined by 1 percent and you 1. decide to sell. What price will your bond sell for? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b- What is the HPY on your investment? (Do not round intermediate calculations and 2. enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a. Expected rate of return b-1. Bond price b-2. HPY % %