Question 2. Suppose the current ZCB prices for maturity in two years and in five years are 0.8 and 0.7, respectively. Suppose the two-year forward three-year libor rate is 4%. Determine if there is an arbitrage opportunity. If so, find an arbitrage portfolio. Make sure that you verify the portfolio is an arbitrage portfolio. Hint: In your arbitrage portfolio you will need to include a forward rate agreement.

Question 2. Suppose the current ZCB prices for maturity in two years and in five years are 0.8 and 0.7, respectively. Suppose the two-year forward three-year libor rate is 4%. Determine if there is an arbitrage opportunity. If so, find an arbitrage portfolio. Make sure that you verify the portfolio is an arbitrage portfolio. Hint: In your arbitrage portfolio you will need to include a forward rate agreement.

International Financial Management

14th Edition

ISBN:9780357130698

Author:Madura

Publisher:Madura

Chapter21: International Cash Management

Section: Chapter Questions

Problem 18QA

See similar textbooks

Similar questions

The pure expectations theory, or the expectations hypothesis, asserts that long-term interest rates can be used to estimate future short-term interest rates. Based on the pure expectations theory, is the following statement true or false? Q1. A certificate of deposit (CD) for two years will have the same yield as a CD for one year followed by an investment in another one-year CD after one year. a. True b. False Q2. The yield on a one-year Treasury security is 4.9200%, and the two-year Treasury security has a 5.9040% yield. Assuming that the pure expectations theory is correct, what is the market’s estimate of the one-year Treasury rate one year from now? (Note: Do not round your intermediate calculations.) a. 5.8627% b. 6.8973% c. 7.8629% d. 8.7596% Q3. Recall that on a one-year Treasury security the yield is 4.9200% and 5.9040% on a two-year Treasury security. Suppose the one-year security does not have a maturity risk premium, but the two-year security does and it is 0.2%. What is…
Ross Law is pondering on the following data. Three-year Treasury securities currently yield 6%, while 4 year treasury security yield 6.5%. Assume that the expectations theory holds, what does the market believe the rate will be on a 1-year treasury security, three years from now?
Give typing answer with explanation and conclusion to all parts The real risk-free rate, r*, is 2%, and inflation is expected to be 3.0% this year, 3.5% for the next two years; 4.0% the following year, and then 5.0% thereafter. The maturity risk premium is estimated to be 0.05%(t1), where t = number of years to maturity. Liquidity risk premium is 0.7%, default risk premium is 1%. - What are the Treasury yield for 3 years, and 6 years bonds? - What are the Corporate yield for 3 years, and 6 years bonds?
The real risk-free rate is 2.36%, inflation is expected to be 4.75% this year, and the maturity risk premium is zero. What is the equilibrium rate of return on a 1-year Treasury security? (your answer as a percent and round your final answer to 2 decimal places.)
Suppose the term structure is set according to pure expectations and the maturity preference theory. To be specific, investors require no compensation for holding investments with a maturity of one year, but they demand a liquidity premium for holding longer term investments. Given the information below, what are the expected one year rates in one year and in two years? Assume annual interest rates. Spot Liquidity premium rate (basis points) 2.65% 0 3.24% 20 3 3.98% 30
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 we observe the 3-year Treasury security rate (1R3) to be 8 percent, the expected 1-year rate next year—E(2r1)—to be 4 percent, and the expected one-year rate the following year—E(3r1)—to be 6 percent. If the unbiased expectations theory of the term structure of interest rates holds, what is the 1-year Treasury security rate, 1R1?
You have surplus funds to lend for a 3-year period. Current coupon rates are as follows: a. 10.0% for a one-year instrument, b. 9.8% for a two-year instrument, c. 9.4% for a three-year instrument. Investors expect short-term rates drop by 0.5% during this year and by 1.5% in two years from now. What strategy would be the better decision?
The pure expectations theory, or the expectations hypothesis, asserts that long-term interest rates can be used to estimate future short-term interest rates. Q. Suppose the yield on a two-year Treasury security is 5.83%, and the yield on a five-year Treasury security is 6.20%. Assuming that the pure expectations theory is correct, what is the market’s estimate of the three-year Treasury rate two years from now? (Note: Do not round your intermediate calculations.) a. 6.45% b. 6.69% c. 5.46% d. 6.61%
6. Suppose that the simple annual returns on an investment over a 3-year period are: 8%, 2%, and 12%. What is the closest to the annualised holding period return? (a) 22.0% (b) 7.25% (c) 7.33% (d) 23.4% 7. A stock is currently trading at 20. Assume that at the end of one month it will either be 23 or 17. The risk-free interest rate is 5% per annum. The value of an ATM put option with a maturity of 1 month is closest to (a) 0.55 (b) 0.95 (c) 1.45 (d) 3.00
YIELD CURVES Suppose the inflation rate is expected to be 7% next year, 5% the following year, and 3% thereafter. Assume that the real risk-free rate, r*, will remain at 2% 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. a. Calculate the interest rate 1-,2-,3-,4-,5-,10- and 20-year Treasury Securities and plot the yield curve. b. Suppose a AAA-rated company (which is the highest bond rating a firm can have) had bonds with the same maturities as the Treasury bonds. Estimate and plot what you believe a AAA-rated company’s yield curve would look like on the same graph with the treasury bond yield curve. (Hint: think about the default risk premium on its long term versus in short-term bonds) c. On the same graph, plot the approximate yield curve of…
Assume investors are indifferent among security maturities. Today, the annualized 2-year interest rate is 12 percent, and the 1-year interest rate is 7 percent. What is the forward rate (expected 1-year rate in 1 year) according to the pure expectations theory? Question 10 options: 1.17% 2.41% 5.16% 17.23%