EBK CFIN
6th Edition
ISBN: 9781337671743
Author: BESLEY
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Chapter 5, Problem 12PROB
Summary Introduction
Risk free rate:
Interest rate which has no risk of loss. For risk free rate risk is zero.
Calculate the forward risk free rate as follows:
Given one year inflation rate is 1.4%, year two inflation rate is 1.8% and 2% after year 2. Assume the real risk free rate is 3%.
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The real risk-free rate of interest, r*, is 4 percent, and it is expected to remain constant over time. Inflation is expected to be 2 percent per year for the next three years, after which time inflation is expected to remain at a constant rate of 5 percent per year. The maturity risk premium is equal to 0.1(t - 1)%, where t = the bond’s maturity. What is the yield on a 10-year Treasury bond?
Assume that the real risk-free rate of return, k*, is 3%, and it will remain at that level far into the future. Also assume that maturity risk premiums (MRP) increase from zero for bonds that mature in one year or less to a maximum of 1%, and MRP increases by 0.2% for each year to maturity that is greater than one year-that is, MRP equals 0.2% for two-year bond, 0.4% for a three-year bond, and so forth. Following are the expected inflation rates for the next five years:
Year
Inflation Rate (%)
2017
5
2018
6
2019
7
2020
8
2021
9
a) Compute the interest rate for a one-, two-, three-, four-, and five-year bond.
b) If inflation is expected to equal 9% every year after 2021, what should be the interest rate for a 10- and 20-year bond?
c) Plot the yield curve for the interest rates you computed in part [a] and [b].
d) Based on the curve (in part c), interpret your findings.
Suppose that the yield curve shows that the one-year bond yield is 8 percent, the two-year yield is 7 percent, and the three-year yield
is 7 percent. Assume that the risk premium on the one-year bond is zero, the risk premium on the two-year bond is 1 percent, and the
risk premium on the three-year bond is 2 percent.
a. What are the expected one-year interest rates next year and the following year?
The expected one-year interest rate next year =
The expected one-year interest rate the following year
b. If the risk premiums were all zero, as in the expectations hypothesis, what would the slope of the yield curve be?
The slope of the yield curve would be (Click to select)
%
%
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- Suppose that the interest rate on one-year bonds is currently 4 percent and is expected to be 5 percent in one year and 6 percent in two years. Using the expectations hypothesis, compute the yields on two- and three-year bonds and plot the yield curve.arrow_forwardThe real risk-free rate is 2% which is projected to be constant indefinitely. The expected inflation for year 1 is 1%, for year 2 is 2%, and it will increase by 1% each year after. Liquidity Premium is 1% and the default risk premium is 2.5%. Maturity Risk premium for long-term securities is computed as estimated to be 0.5%(t - 1), where “t” is the years of maturity of the bond. The yield for an 15-year government bond is a. 17.0% b. 17.5% c. 60.0% d. 16.0%arrow_forwardSuppose the inflation rate is expected to be 6.15% next year, 4% the following year, and 2% thereafter. Assume that the real risk-free rate, r*, will remain at 1.55% 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. Calculate the interest rate on 1-year Treasury securities. Round your answer to two decimal places. % Calculate the interest rate on 2-year Treasury securities. Round your answer to two decimal places. % Calculate the interest rate on 3-year Treasury securities. Round your answer to two decimal places. % Calculate the interest rate on 4-year Treasury securities. Round your answer to two decimal places. % Calculate the interest rate on 5-year Treasury securities. Round your answer to two decimal places. % Calculate the…arrow_forward
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