A corporate bond has a nominal or observed yield of 9.8%. Your sister, the famous economist, has given you the following estimates: Inflation-risk premium = 3.00% Default-risk premium = 2.10% Maturity premium = 1.90% Liquidity premium = 0.50% On the basis of these data, what is the best estimate of the real risk-free rate of return?

A corporate bond has a nominal or observed yield of 9.8%. Your sister, the famous economist, has given you the following estimates: Inflation-risk premium = 3.00% Default-risk premium = 2.10% Maturity premium = 1.90% Liquidity premium = 0.50% On the basis of these data, what is the best estimate of the real risk-free rate of return?

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter8: Basic Stock Valuation

Section: Chapter Questions

Problem 15MC: Assume that Temp Force has a beta coefficient of 1.2, that the risk-free rate (the yield on T-bonds)...

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Suppose there is a large probability that L will default on its debt. For the purpose of this example, assume that the value of Ls operations is 4 million (the value of its debt plus equity). Assume also that its debt consists of 1-year, zero coupon bonds with a face value of 2 million. Finally, assume that Ls volatility, , is 0.60 and that the risk-free rate rRF is 6%.
What would be the value of the bond described in Part d if, just after it had been issued, the expected inflation rate rose by 3 percentage points, causing investors to require a 13% return? Would we now have a discount or a premium bond? What would happen to the bond’s value if inflation fell and rd declined to 7%? Would we now have a premium or a discount bond? What would happen to the value of the 10-year bond over time if the required rate of return remained at 13%? If it remained at 7%? (Hint: With a financial calculator, enter PMT, I/YR, FV, and N, and then change N to see what happens to the PV as the bond approaches maturity.)
Assume that Temp Force has a beta coefficient of 1.2, that the risk-free rate (the yield on T-bonds) is 7.0%, and that the market risk premium is 5%. What is the required rate of return on the firms stock?
Suppose the real risk-free rate is 2.80%, the average future inflation rate is 2.30%, a maturity premium of 0.25% per year to maturity applies, i.e., MRP = 0.25%(t), where t is the number of years to maturity. Suppose also that a liquidity premium of 0.50% and a default risk premium of 2.50% applies to A-rated corporate bonds. What is the difference in the yields on a 5-year A-rated corporate bond and on a 10-year Treasury bond? Here we assume that the pure expectations theory is NOT valid, and disregard any cross-product terms, i.e., if averaging is required, use the arithmetic average. a. 4.25 p.p. b. 2.25 p.p. c. 4.19 p.p. d. 3.00 p.p. e. 1.75 p.p. Please explain process and show calculations
The real risk-free rate is 2.70%, inflation is expected to be 3.45% this year, and the maturity risk premium is zero. Ignoring any cross-product terms, i.e., if averaging is required, use the arithmetic average, what is the equilibrium rate of return on a 1-year Treasury bond? Please explain process and show calculations
A newly issued bond with 1 year to maturity has a price of $1,000, which equals its face value. The coupon rate is 15% and the probability of default in 1 year is 35%. The bond’s payoff in default will be 65% of its face value. a. Calculate the bond’s expected return. b. Use a data table to show the expected return as a function of the recovery percentage and the price of the bond. Please show how you got part B using all functions.
If the pure expectations theory of the term structure is correct, which of the following statements would be CORRECT? a. If a 1-year Treasury bill has a yield to maturity of 7% and a 2-year Treasury bill has a yield to maturity of 8%, this would imply the market believes that 1-year rates will be 7.5% one year from now. b. The yield on a 5-year corporate bond should always exceed the yield on a 3-year Treasury bond. c. Interest rate (price) risk is higher on long-term bonds, but reinvestment rate risk is higher on short-term bonds. d. An upward-sloping yield curve would imply that interest rates are expected to be lower in the future. e. Interest rate (price) risk is higher on short-term bonds, but reinvestment rate risk is higher on long-term bonds
Assume the following: The real risk-free rate, r*, is expected to remain constant at 3%. Inflation is expected to be 3% next year and then to be constant at 2% a year thereafter. The maturity risk premium is zero. Given this information, which of the following statements is CORRECT? a. A 5-year corporate bond must have a lower yield than a 7-year Treasury security. b. The yield curve for U.S. Treasury securities will be upward sloping. c. A 5-year corporate bond must have a lower yield than a 5-year Treasury security. d. The real risk-free rate cannot be constant if inflation is not expected to remain constant. e. This problem assumed a zero maturity risk premium, but that is probably not valid in the real world.
Suppose the current zero-coupon yield curve for risk-free bonds is as follows:Maturity (years) 1 2 3 4 5YTM 4.14% 4.55% 4.78% 4.99% 5.37% What is the price per $100 face value of a three-year, zero-coupon, risk-free bond? What is the price per $100 face value of a four-year, zero-coupon, risk-free bond? What is the risk-free interest rate for a four-year maturity?
The following table shows the prices of a sample of Treasury bonds, all of which have coupon rates of zero. Each bond makes a single payment at maturity. Years to Maturity Price (% of face value) 1 98.052% 2 94.551 3 90.744 4 86.680 What is the 1-year interest rate? What is the 3-year interest rate? What is the 4-year interest rate? Is the yield curve upward-sloping, downward-sloping, or flat? Is this the usual shape of the yield curve?
Suppose the rate of return on a 10-year T-bond is 5.30%, the expected average rate of inflation over the next 10 years is 1.50%, the MRP on a 10-year T-bond is 0.90%, no MRP is required on a TIPS, and no liquidity premium is required on any Treasury security. Given this information, what should the yield be on a 10-year TIPS? Disregard cross-product terms, i.e., if averaging is required, use the arithmetic average. a. 2.90% b. 3.80% c. 4.33% d. 4.40% e. 2.86%
A bond for the Chelle Corporation has the following characteristics: Maturity - 12 years Coupon - 10% YTM - 9.5% Macaulay duration - 5.7 years Convexity – 48 Noncallabe Calculate the approximate price change for this bond using both duration and convexity in the computation, one again assuming that its yield to maturity decline by 300 basis points.