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YIELD CURVES Suppose the inflation rate is expected to be 7% next year, 5% the following year, and 3% thereafter. Assume that the real risk-free rate, r″, will remain at 2% and that maturity risk premiums on Treasury securities rise from zero on very short-term bonds (those that mature in a few days) to 0.2% for 1-year securities. Furthermore, maturity risk premiums increase 0.2% for each year to maturity, up to a limit of 1.0% on 5-year or longer-term T-bonds. a. Calculate the interest rate on 1-, 2-, 3 - , 4-, 5-, 10-, and 20-year Treasury securities and plot the yield curve. b. Suppose a AAA-rated company (which is the highest bond rating a firm can have) had bonds with the same maturities as the Treasury bonds. Estimate and plot what you believe a AAA-rated company’s yield curve would look like on the same graph with the Treasury bond yield curve. (Hint: Think about the default risk premium on its long-term versus its short-term bonds.) c. On the same graph, plot the approximate yield curve of a much riskier lower-rated company with a much higher risk of defaulting on its bonds.

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Fundamentals of Financial Manageme...

15th Edition
Eugene F. Brigham + 1 other
Publisher: Cengage Learning
ISBN: 9781337395250
BuyFind

Fundamentals of Financial Manageme...

15th Edition
Eugene F. Brigham + 1 other
Publisher: Cengage Learning
ISBN: 9781337395250

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Chapter 6, Problem 18P
Textbook Problem

YIELD CURVES Suppose the inflation rate is expected to be 7% next year, 5% the following year, and 3% thereafter. Assume that the real risk-free rate, r″, will remain at 2% and that maturity risk premiums on Treasury securities rise from zero on very short-term bonds (those that mature in a few days) to 0.2% for 1-year securities. Furthermore, maturity risk premiums increase 0.2% for each year to maturity, up to a limit of 1.0% on 5-year or longer-term T-bonds.

  1. a. Calculate the interest rate on 1-, 2-, 3-, 4-, 5-, 10-, and 20-year Treasury securities and plot the yield curve.
  2. b. Suppose a AAA-rated company (which is the highest bond rating a firm can have) had bonds with the same maturities as the Treasury bonds. Estimate and plot what you believe a AAA-rated company’s yield curve would look like on the same graph with the Treasury bond yield curve. (Hint: Think about the default risk premium on its long-term versus its short-term bonds.)
  3. c. On the same graph, plot the approximate yield curve of a much riskier lower-rated company with a much higher risk of defaulting on its bonds.

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Chapter 6 Solutions

Fundamentals of Financial Management (MindTap Course List)
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Ch. 6 - Suppose interest rates on residential mortgages of...Ch. 6 - Which fluctuate morelong-term or short-term...Ch. 6 - Suppose you believe that the economy is just...Ch. 6 - Suppose the population of Area Y is relatively...Ch. 6 - Suppose a new process was developed that could be...Ch. 6 - Suppose a new and more liberal Congress and...Ch. 6 - It is a fact that the federal government (1)...Ch. 6 - Suppose interest rates on Treasury bonds rose from...Ch. 6 - What does it mean when it is said that the United...Ch. 6 - Suppose you have noticed that the slope of the...Ch. 6 - YIELD CURVES Assume that yields on U.S. Treasury...Ch. 6 - REAL RISK-FREE RATE You read in The Wall Street...Ch. 6 - EXPECTED INTEREST RATE The real risk-free rate is...Ch. 6 - DEFAULT RISK PREMIUM A Treasury bond that matures...Ch. 6 - MATURITY RISK PREMIUM The real risk-free rate is...Ch. 6 - INFLATION CROSS-PRODUCT An analyst is evaluating...Ch. 6 - EXPECTATIONS THEORY One-year Treasury securities...Ch. 6 - EXPECTATIONS THEORY Interest rates on 4-year...Ch. 6 - EXPECTED INTEREST RATE The real risk-free rate is...Ch. 6 - INFLATION Due to a recession, expected inflation...Ch. 6 - DEFAULT RISK PREMIUM A companys 5-year bonds are...Ch. 6 - MATURITY RISK PREMIUM An investor in Treasury...Ch. 6 - DEFAULT RISK PREMIUM The real risk-free rate, r,...Ch. 6 - EXPECTATIONS THEORY AND INFLATION Suppose 2-year...Ch. 6 - EXPECTATIONS THEORY Assume that the real risk-free...Ch. 6 - INFLATION CROSS-PRODUCT An analyst is evaluating...Ch. 6 - INTEREST RATE PREMIUMS A 5-year Treasury bond has...Ch. 6 - YIELD CURVES Suppose the inflation rate is...Ch. 6 - INFLATION AND INTEREST RATES In late 1980, the...Ch. 6 - INTEREST RATE DETERMINATION AND YIELD CURVES a....Ch. 6 - INTEREST RATE DETERMINATION Maria Juarez is a...

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