Principles of Corporate Finance
13th Edition
ISBN: 9781260465099
Author: BREALEY, Richard
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Question
Chapter 3, Problem 24PS
a)
Summary Introduction
To determine: Discount factor.
b)
Summary Introduction
To determine:
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Assuming annual interest payments and a principal value of $100, what is the value of a 5-year 6.4% coupon bond when the discount rate is i) 4.6%, ii) 6.4%, and iii) 7.6% ? Show that your results are consistent with the relationship between the coupon rate, discount rate, and price relative to par value.
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
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?
Chapter 3 Solutions
Principles of Corporate Finance
Ch. 3 - (PRICE) In February 2009, Treasury 8.5s of 2020...Ch. 3 - (YLD) On the same day, Treasury 3.5s of 2018 were...Ch. 3 - (DURATION) What was the duration of the Treasury...Ch. 3 - (MDURATION) What was the modified duration of the...Ch. 3 - Bond prices and yields A 10-year bond is issued...Ch. 3 - Bond prices and yields The following statements...Ch. 3 - Bond prices and yields Construct some simple...Ch. 3 - Bond prices and yields A 10-year German government...Ch. 3 - Bond prices and yields A 10-year German government...Ch. 3 - Bond prices and yields A 10-year U.S. Treasury...
Ch. 3 - Bond returns If a bonds yield to maturity does not...Ch. 3 - Bond returns a. An 8%, five-year bond yields 6%....Ch. 3 - Prob. 10PSCh. 3 - Duration True or false? Explain. a....Ch. 3 - Duration Here are the prices of three bonds with...Ch. 3 - Duration Calculate the durations and volatilities...Ch. 3 - Prob. 14PSCh. 3 - Duration Find the spreadsheet for Table 3.4 in...Ch. 3 - Prob. 16PSCh. 3 - Spot interest rates and yields Which comes first...Ch. 3 - Prob. 18PSCh. 3 - Spot interest rates and yields Look again at Table...Ch. 3 - Prob. 20PSCh. 3 - Spot interest rates and yields Assume annual...Ch. 3 - Spot interest rates and yields A 6% six-year bond...Ch. 3 - Spot interest rates and yields Is the yield on...Ch. 3 - Prob. 24PSCh. 3 - Measuring term structure The following table shows...Ch. 3 - Term-structure theories The one-year spot interest...Ch. 3 - Term-structure theories Look again at the spot...Ch. 3 - Real interest rates The two-year interest rate is...Ch. 3 - Prob. 30PSCh. 3 - Bond ratings A bonds credit rating provides a...Ch. 3 - Prob. 32PSCh. 3 - Price and spot interest rates Find the arbitrage...Ch. 3 - Prob. 34PSCh. 3 - Prices and spot interest rates What spot interest...Ch. 3 - Prices and spot interest rates Look one more time...
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- Suppose that y is the yield on a perpetual government bond that pays interest at the rate of $1 per annum. Assume that y is expressed with simply com- pounding, that interest is paid annually on the bond, and that y follows the process dy = a(y0 −y)dt + oydWt, where a, y0, and o are positive constants and dWt is a Wiener process. (a) What is the process followed by the bond price? (b) What is the expected instantaneous return (including interest and capital gains) to the holder of the bond?arrow_forwardThe following table summarizes prices of various default-free zero-coupon bonds ( $100 face value): Maturity (years) 1 2 3 4 5 {:[" Price (per "$100],[" face value) "]:} $96.33 $91.98 $87.41 $82.53 $77.41 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? Note: Assume annual compounding. a. Compute the yield to maturity for each bond. The yield on the 1-year bond is %. (Round to two decimal places.) The yield on the 2-year bond is %. (Round to two decimal places.) The yield on the 3-year bond is %. (Round to two decimal places.) The yield on the 4-year bond is enter your response here%. (Round to two decimal places.) Part 5 The yield on the 5-year bond is enter your response here%. (Round to two decimal places.) Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will…arrow_forwardThe following table summarizes the prices of various default-free zero-coupon bonds (expressed as a percentage of the face value): 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?arrow_forward
- The following table summarizes prices of various default-free zero-coupon bonds (expressed as a percentage of the face value):. 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.) Data table (Click on the following icon Maturity (years) Price (per $100 face value) in order to copy its contents into a spreadsheet.) 2 $91.99 3 $87.33 1 $96.35 Print Done 4 $82.48 5 $77.37 Xarrow_forwardConsider the following pure discount bonds with face value $1,000: Maturity Price 1 952.38 2 898.47 3 847.62 4 799.64 5 754.38 a). Find the spot rates and draw a yield curve.b). Assume that there is a constant liquidty premium that is equal to 1% across all maturities. Find the forward rates and the expected one period future interest rates.arrow_forwardYou have estimated spot rates as follows: r₁ = 5.00%,r₂ = 5.40%,r3 = 5.70%,r4 = 5.90%,15 a. What are the discount factors for each date (i.e., the present value of $1 paid in year t)? b. Calculate the PV of the following $1,000 bonds assuming annual coupons and maturity of: (1) 5%, two-year bond; (2) 5%, five-year bond; and (3) 10%, five-year bond. Complete this question by entering your answers in the tabs below. Required A Required B Calculate the PV of the following $1,000 bonds assuming annual coupons and maturity of: (i) 5%, two-year bond; (ii) 5%, five-year bond; and (iii) 10%, five-year bond. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. b-i. 5%, two-year bond b-ii. 5%, five-year bond b-iii. 10%, five-year bond $ Present Value 47.60 X = 6.00%. X < Required A Required Barrow_forward
- Data table 不 The following table summarizes prices of various default-free zero-coupon bonds (expressed as a percentage of face value): 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.) (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) Price (per $100 face value) 1 $95.42 2 3 4 5 $90.99 $86.47 $81.58 $76.46 Print Donearrow_forwardIf you have a coupon bond, its face value is $1,000 and the coupon rate is 4%. Complete the following table, then calculate the rate of return for the bond. If you know that it was purchased at the nominal value, comment on the results. due date return at maturity the price 2 0.02 3 0.04 5 0.06 Present Value Annuity value % n value % n 0.961 0.02 2 1.97 0.02 2 0.925 0.04 2 1.89 0.04 2 0.889 0.04 3 2.78 0.04 3 0.906 0.02 5 4.71 0.02 5 0.747 0.06 5 4.21 0.06 5arrow_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_forward
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