Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
12th Edition
ISBN: 9781259144387
Author: Richard A Brealey, Stewart C Myers, Franklin Allen
Publisher: McGraw-Hill Education
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Chapter 23, Problem 1PS

Expected yield You own a 5% bond maturing in two years and priced at 87%. Suppose that there is a 10% chance that at maturity the bond will default and you will receive only 40% of the promised payment. What is the bond’s promised yield to maturity? What is its expected yield (i.e., the possible yields weighted by their probabilities)?

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Summary Introduction

To determine: The bonds promised yield to maturity and expected yield.

Yield to maturity (YTM) is the overall return anticipated on a bond throughout its maturity period and it is considered as a long-term bond yield and represented as an annual rate.

Explanation of Solution

Computation of bonds promised yield to maturity and expected yield is as follows:

Price=CF1(1+IRR)+CF2(1+IRR)2$870=$50(1+IRR)+$1,050(1+IRR)2By solving,IRR=0.1277or12.77%

Therefore, to ascertain the expected yield, the expected pay off at maturity is needed and given a 10% probability that only 40% of the promised payment will be received.

Expected pay off=(0.90×$1,050)+0.10(0.40×$1,050)=$945+$42=$987

Therefore, the expected yield is as follows:

Price=CF1(1+IRR)+CF2(1+IRR)2$870=$50(1+IRR)+$987(1+IRR)2By solving,IRR=0.0942or9.42%

Therefore, the bonds promised yield to maturity and expected yield is 12.77% and 9.42% respectively.

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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 rate of 7 percent for $1,160. The bond has 15 years to maturity. What rate of return do you expect to earn on your investment? Assume a par value of $1,000. (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 % I %
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 rate of 6 percent for $1,150. The bond has 20 years to maturity. What rate of return do you expect to earn on your investment? Assume a par value of $1,000. (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 price will your bond sell for? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)b-2.What is the HPY on your investment? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
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 rate 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?
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