INTEREST RATE DETERMINATION AND YIELD CURVES a. What effect would each of the following events likely have on the level of nominal interest rates? 1. Households dramatically increase their savings rate. 2. Corporations increase their demand for funds following an increase in investment opportunities. 3. The government runs a larger-than-expected budget deficit. 4. There is an increase in expected inflation. b. Suppose you are considering two possible investment opportunities: a 12-year Treasury bond and a 7-year, A-rated corporate bond. The current real risk-free rate is 4%; and inflation is expected to be 2% for the next 2 years, 3% for the following 4 years, and 4% thereafter. The maturity risk premium is estimated by this formula: MRP = 0 02(t − 1)%. The liquidity premium (LP) for the corporate bond is estimated to be 0.3%. You may determine the default risk premium (DRP), given the company’s bond rating, from the table below. Remember to subtract the bond’s LP from the corporate spread given in the table to arrive at the bond’s DRP. What yield would you predict for each of these two investments? Rate Corporate Bond Yield Spread = DRP + LP U.S. Treasury 0.83% ---- AAA corporate 0.93 0.10% AA corporate 1.29 0.46 A corporate 1.67 0.84 c. Given the following Treasury bond yield information, construct a graph of the yield curve. Maturity Yield 1 year 5.37% 2 years 5.47 3 years 5.65 4 years 5.71 5 years 5.64 10 years 5.75 20 years 6.33 30 years 5.94 d. Based on the information about the corporate bond provided in part b, calculate yields and then construct a new yield curve graph that shows both the Treasury and the corporate bonds. e. Which part of the yield curve (the left side or right side) is likely to be most volatile over time? f. Using the Treasury yield information in part c, calculate the following rates using geometric averages: 1. The 1-year rate 1 year from now 2. The 5-year rate 5 years from now 3. The 10-year rate 10 years from now 4. The 10-year rate 20 years from now

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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

Solutions

Chapter
Section
Chapter 6, Problem 20SP
Textbook Problem

INTEREST RATE DETERMINATION AND YIELD CURVES

a. What effect would each of the following events likely have on the level of nominal interest rates?

  1. 1. Households dramatically increase their savings rate.
  2. 2. Corporations increase their demand for funds following an increase in investment opportunities.
  3. 3. The government runs a larger-than-expected budget deficit.
  4. 4. There is an increase in expected inflation.

b. Suppose you are considering two possible investment opportunities: a 12-year Treasury bond and a 7-year, A-rated corporate bond. The current real risk-free rate is 4%; and inflation is expected to be 2% for the next 2 years, 3% for the following 4 years, and 4% thereafter. The maturity risk premium is estimated by this formula: MRP = 0 02(t − 1)%. The liquidity premium (LP) for the corporate bond is estimated to be 0.3%. You may determine the default risk premium (DRP), given the company’s bond rating, from the table below. Remember to subtract the bond’s LP from the corporate spread given in the table to arrive at the bond’s DRP. What yield would you predict for each of these two investments?

  Rate Corporate Bond Yield Spread = DRP + LP
U.S. Treasury 0.83% ----
AAA corporate 0.93 0.10%
AA corporate 1.29 0.46
A corporate 1.67 0.84

c. Given the following Treasury bond yield information, construct a graph of the yield curve.

Maturity Yield
1 year 5.37%
2 years 5.47
3 years 5.65
4 years 5.71
5 years 5.64
10 years 5.75
20 years 6.33
30 years 5.94

d. Based on the information about the corporate bond provided in part b, calculate yields and then construct a new yield curve graph that shows both the Treasury and the corporate bonds.

e. Which part of the yield curve (the left side or right side) is likely to be most volatile over time?

f. Using the Treasury yield information in part c, calculate the following rates using geometric averages:

  1. 1. The 1-year rate 1 year from now
  2. 2. The 5-year rate 5 years from now
  3. 3. The 10-year rate 10 years from now
  4. 4. The 10-year rate 20 years from now

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Chapter 6 Solutions

Fundamentals of Financial Management (MindTap Course List)
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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