You are given the following data: r* = real risk-free rate = 4% Constant inflation premium = 7% Maturity risk premium = 1% Default risk premium for AAA bonds = 3% Liquidity premium for long-term T-bonds = 2% Assume that a highly liquid market does not exist for long-term T-bonds, and the expected rate of inflation is a constant. Given these conditions, the nominal risk-free rate for T-bills is ____, and the rate on long-term Treasury bonds is ____. a. 4%; 14% b. 4%; 15% c. 11%; 14% d. 11%; 15% e. 11%; 17%

You are given the following data: r* = real risk-free rate = 4% Constant inflation premium = 7% Maturity risk premium = 1% Default risk premium for AAA bonds = 3% Liquidity premium for long-term T-bonds = 2% Assume that a highly liquid market does not exist for long-term T-bonds, and the expected rate of inflation is a constant. Given these conditions, the nominal risk-free rate for T-bills is , and the rate on long-term Treasury bonds is . a. 4%; 14% b. 4%; 15% c. 11%; 14% d. 11%; 15% e. 11%; 17%

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter4: Bond Valuation

Section: Chapter Questions

Problem 9MC

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You are given the following data: • k* = real risk-free rate = 4%. • Constant inflation premium = 7%. • Maturity risk premium = 1%. • Default risk premium for AAA bonds = 3%. • Liquidity premium for long-term T-bonds = 2%. Assume that a highly liquid market does not exist for long-term T-bonds, and the expected rate of inflation is a constant. Given these conditions, the nominal risk-free rate for T-bills is , and the rate on long-term Treasury bonds is 4%; 14% 4%; 15% 11%; 14% 11%; 15%
You are given the following data: Real Risk-Free Rate 4% Constant inflation premium 7% Maturity risk premium 1% Default risk premium for AAA bonds 3% Liquidity premium for long term T bonds 2% Assume that a highly liquid market does not exist for long term bonds, and the expected rate of inflation is constant. Given these conditions: a. nominal risk-free rate for T bills is? b. the rate of the long term treasury bonds is?
Calculate a security's default risk premium, given an equilibrium rate of return of 8 percent, an inflation risk premium of 3.35 percent, a real risk-free rate is 2.2 percent, a liquidity risk premium is 0.55 percent, and a maturity risk premium is 0.85 percent with no special covenants.
Suppose that y is the yield on a perpetual government bond that pays interest at the rate of $1 per annum. Assume that y is expressed with simply com- pounding, that interest is paid annually on the bond, and that y follows the process dy = a(y0 −y)dt + oydWt, where a, y0, and o are positive constants and dWt is a Wiener process. (a) What is the process followed by the bond price? (b) What is the expected instantaneous return (including interest and capital gains) to the holder of the bond?
Consider the following pure discount bonds with face value $1,000: Maturity Price 1 952.38 2 898.47 3 847.62 4 799.64 5 754.38 a). Find the spot rates and draw a yield curve.b). Assume that there is a constant liquidty premium that is equal to 1% across all maturities. Find the forward rates and the expected one period future interest rates.
Suppose we observe the following rates: 1R1= 0.75%, 1R2=1.20%, E(2r1)=0.907%. If the liquidity premium theory of the term structure of interest rates holds, what is the liquidity premium for year 2, L2?
Description Please use the examples provided here to work on the following two problems (show your work): Problem 1: The real rate of interest is currently 2%; the inflation expectation an premiums for a security are shown below. Inflation expectation premium 5% Risk premium 4% Find the risk-free rate of interest, RF, that is applicable to the security. b. a. Find the nominal rate of interest for the security. Droblo m 3:
The forward rate f(t1,12) of a bond, is the implicit interest rate in a future period between time t1 and t2. For example, assuming continuous time returns, if the discount rate from period 0 to t1 is: exp(-r t1), and from period 0 to 12 (greater than t1) is: exp(-r t2), then the forward rate f from t1 to t2 maintains the following no arbitrage relationship: exp(-r t1) exp(-f (t2-t1) exp(-r t2)). Suppose we observe the prices of a 14-year zero-coupon bond (with a face value of $93.31), where P(t1,t2) regans the price of the bond between t1 and 12, and a year 7-to-14 forward rate as follows:P(0.14) - $86.5496905000 and f(7,14) - 0.6074704253 %. Calculate the price of a 7-year zero-coupon, with face value $99.27: $82.9604 $96.0778 ✓(25 %) $96.2349 $82.1804
Assume the real risk-free is 1% and the average annual expected inflation rate is 4%. The DRP and LP for bond A are each 3%, and the applicable MRP is 3%. What is Bond A's interest rate?
Assume that the real risk-free rate is 2% and the average annual expected inflation rate is 4%. The DRP and LP for Bond A are each 2%, and the applicable MRP is 3%. What is Bond A's interest rate?
Calculating the risk premium on bonds The text presents a formula where (1+1) = (1-p)(1 +i+x) + p(0) where i is the nominal interest rate on a riskless bond x is the risk premium p is the probability of default (bankruptcy) If the probability of bankruptcy is zero, the rate of interest on the risky bond is When the nominal interest rate for a risky borrower is 8% and the nominal policy rate of interest is 3%, the probability of bankruptcy is %. (Round your response to two decimal places.) When the probability of bankruptcy is 6% and the nominal policy rate of interest is 4%, the nominal interest rate for a risky borrower is %. (Round your response to two decimal places.) When the probability of bankruptcy is 11% and the nominal policy rate of interest is 4%, the nominal interest rate for a risky borrower is %. (Round your response to two decimal places.) The formula assumes that payment upon default is zero. In fact, it is often positive. How would you change the formula in this case?…
T/F a. According to Expectation theory, long-term rates are geometric average of current and expected short-term rates. b. The swap curve usès on-the-run prices at plot points. C. When a bond is traded, the seller owes the buyer accrued interest. d. Higher inflation rates lead to higher required interest rates. e. If prices increase, then velocity and/or quantities decrease. f. Quantitative easing adds liquidity when the federal funds rate is negative. g. Bonds may trade in advance of Treasury auction. h. Off the run bonds are the most recently auctioned off for a given initial maturity. i. The yield curve never uses the on-the-run Treasuries. j. If the yield curve in upward sloping, investors expect lower inflation or real rates.