EBK CORPORATE FINANCE
4th Edition
ISBN: 8220103145947
Author: DeMarzo
Publisher: PEARSON
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Chapter 6, Problem 20P
Summary Introduction
To determine: The maturity of a default-free security with yearly coupon payments and a yield to maturity of 4%.
Introduction:
A bond is a debt instrument with which the shareholder credits the cash to an entity which can be a government or an organization that scrounges finance for a distinct timeframe at a predefined interest rate.
Coupon rate is expressed as an interest rate on a fixed income security like a bond. It is also known as the interest rate that the bondholders get from their investment. It depends on the yield depending on the day the bond is issued.
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8. Given the following information what must be the risk-free rate of interest (assume the asset is properly
priced)? The expected return of the market is 14.25%, the stock's B is.82 and the expected return of the
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D. 8.93%
A.Suppose the real risk-free rate is 3.00%, the average expected future inflation rate is 6.60%, and a maturity risk premium of 0.10% per year to maturity applies, i.e., MRP = 0.10%(t), where t is the number of years to maturity. What rate of return would you expect on a 1-year Treasury security, assuming the pure expectations theory is NOT valid? Disregard cross-product terms, i.e., if averaging is required, use the arithmetic average.
a.
9.70%
b.
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B.
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$262,500
b.
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7. A. Define duration and explain how duration is used in the management of a portfolio of financial securities.
B. Why is duration a better measurement of interest rate risk than the time it takes to reduce the principal balance on a loan by 50%?
C. How does maturity and yield affect the sensitivity of a financial security to changes in interest rates?
Chapter 6 Solutions
EBK CORPORATE FINANCE
Ch. 6.1 - What is the relationship between a bonds price and...Ch. 6.1 - The risk-free interest rate for a maturity of...Ch. 6.2 - If a bonds yield to maturity does not change, how...Ch. 6.2 - Prob. 2CCCh. 6.2 - How does a bonds coupon rate affect its...Ch. 6.3 - How do you calculate the price of a coupon bond...Ch. 6.3 - How do you calculate the price of a coupon bond...Ch. 6.3 - Explain why two coupon bonds with the same...Ch. 6.4 - There are two reasons the yield of a defaultable...Ch. 6.4 - What is a bond rating?
Ch. 6.5 - Why do sovereign debt yields differ across...Ch. 6.5 - What options does a country have if it decides it...Ch. 6 - A 30-year bond with a face value of 1000 has a...Ch. 6 - Assume that a bond will make payments every six...Ch. 6 - The following table summarizes prices of various...Ch. 6 - Suppose the current zero-coupon yield curve for...Ch. 6 - Prob. 5PCh. 6 - Prob. 6PCh. 6 - Suppose a five-year, 1000 bond with annual coupons...Ch. 6 - Prob. 8PCh. 6 - Explain why the yield of a bond that trades at a...Ch. 6 - Prob. 10PCh. 6 - Prob. 11PCh. 6 - Consider the following bonds: Bond Coupon Rate...Ch. 6 - Prob. 14PCh. 6 - Prob. 17PCh. 6 - Prob. 18PCh. 6 - Prob. 19PCh. 6 - Prob. 20PCh. 6 - Prob. 22PCh. 6 - Prob. 23PCh. 6 - Suppose you are given the following information...Ch. 6 - Prob. 26PCh. 6 - Grumman Corporation has issued zero-coupon...Ch. 6 - The following table summarizes the yields to...Ch. 6 - Prob. 30PCh. 6 - Prob. 31PCh. 6 - A BBB-rated corporate bond has a yield to maturity...Ch. 6 - Prob. 33PCh. 6 - Prob. 34PCh. 6 - Prob. 35P
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- Suppose the real risk-free rate is 3.00%, the average expected future inflation rate is 4.00%, and a maturity risk premium of 0.10% per year to maturity applies, i.e., MRP = 0.10%(t), where t is the years to maturity. What rate of return would you expect on a 1-year Treasury security, assuming the pure expectations theory is NOT valid? Include the cross-product term, i.e., if averaging is required, use the geometric average. (Round your final answer to 2 decimal places.)arrow_forward6. The expected return on the market is 14%; and the risk-free rate is 5%. What is the market risk premium?arrow_forwardSuppose the real risk-free rate is 3.2%, the average future inflation rate is 1.9%, and a maturity premium of 0.05% per year to maturity applies, i.e., MRP = 0.05% (t), where t is the years to maturity. What rate of return would you expect on a 5-year Treasury security, assuming the pure expectations theory is NOT valid? O 6.25% O 6.55% O 5.65% O 5.95% O 5.35%arrow_forward
- 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?arrow_forwardAssume the zero-coupon yields on default-free securities are as summarized in the following table: 3 years 4 years 5 years Maturity 1 year 2 years 7.00% 7.30% 6.20% 6.50% 6.70% Zero-Coupon Yields What is the maturity of a default-free security with annual coupon payments and a yield to maturity of 6.20%? Why? What is the maturity of a default-free security with annual coupon payments and a yield to maturity of 6.20%? (Select the best choice below.) O A. One year В. Тwo years C. Three years D. Four years E. Five yearsarrow_forwardGive typing answer with explanation and conclusionarrow_forward
- Assume the zero-coupon yields on default-free securities are as summarized in the following table: Maturity 1 year 2 years 3 years 4 years 5 years Zero-Coupon Yields 7.00% 7.60% 7.90% 8.30% 8.70% What is the maturity of a default-free security with annual coupon payments and a yield to maturity of 7.00%? Why? What is the maturity of a default-free security with annual coupon payments and a yield to maturity of 7.00%? A. One year B. Two years C. Three years D. Four years E. Five yearsarrow_forwardSuppose the real risk-free rate is 4.20%, the average expected future inflation rate is 3.10%, and a maturity risk premium of 0.10% per year to maturity applies, i.e., MRP 0.10% (t), where t is the years to maturity, hence the pure expectations theory is NOT valid. What rate of return would you expect on a 4-year Treasury security? O 7.80% O 7.90% O 7.70% O 8.10% O 8.00%arrow_forwardAssume investors are indifferent among security maturities. Today, the annualized 2-year interest rate is 2.20 percent, and the 1-year interest rate is 2 percent. What is the forward rate according to the pure expectations theory? Group of answer choices 2.25% 2.20% 2.00% 2.40%arrow_forward
- The following data are gathered for: · The real risk-free rate is 1.25% · Inflation premium is constant at 2.50% · Default risk premium is 5% · Liquidity risk premium is 0.50% What is the quoted rate on a short-term government security? (Format: X.XX%)arrow_forwardWhatarrow_forwardThe following data are gathered for:· The real risk-free rate is 1.25%· Inflation premium is constant at 2.50%· Default risk premium is 5%· Liquidity risk premium is 0.50% What is the quoted rate on a short-term government security?arrow_forward
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