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CFIN (with MindTap Finance, 1 term (6 months) Printed Access Card) (MindTap Course List)
6th Edition
ISBN: 9781337407342
Author: Scott Besley, Eugene Brigham
Publisher: Cengage Learning
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Chapter 5, Problem 11PROB
Summary Introduction
Expectation theory:
Expectation theory is used to find forward interest rate based on the prevailing long term interest rates.
Calculate the forward rate as follows:
Given two year Treasury bond rate is 1.2%, three year Treasury bond rate is 1.4% and four year Treasury bond rate is 1.9%.
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The 3-year interest rate is 6.60%, and the 4-year interest rate is 7.90%. The liquidity premia for 3- and 4-year bonds are 0.60% and 0.9%, respectively. Calculate the adjusted forward-rate forecast for 3 periods in the future. (Round your answer to two decimal points.)
1) Suppose that today's one-year interest rate is 5%. Consider the following one-year interest rates expected to occur over the next four years: 6%, 7%, 8% and 9%.a. Calculate the interest rate for two-year bonds, based on the expectations theory.b. What about five-year bonds?
the current 1-year, 2-year, and 3-year bond interest rates are 3%, 4%, and 5%, respectively, and the 1-year, 2-year, and 3-year term premia are 0, 0.5, and 1 percent, respectively. the expectations theory of the term structure predicts that the expected 1-year bond interest rate is _____% next year and _____% the year after
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- Suppose you can observe that 1-year bond interest rate is 4%, 2-year bond interest rate is 8%, and 3-year bond interest rate is 10% at time t. It is also known that the term premium on a 2-year bond is 1% and the term premium on a 3-year bond is 1.5%. a) What are the market's expected 1-year bond interest rates for the next two years from time t? b) How to interpret those expected short-term interest rates? (what would be the "possible" economic meanings in the expected short- term interest rates?) Discuss as least two "candidates" to explain them.arrow_forwardSuppose the current interest rate on a one-year bond is 2% and the current interest rate on a two-year bond is 4%. The term premium on a two-year bond is 1%. According to the expectations hypothesis, what interest rate should we expect on a one-year bond next year? Answer as a percentage to one decimal place and do not include symbols (e.g. $, %, commas) in your answer. Answer:arrow_forwardToday, interest rates on 1-year T-bonds yield 1.2%, interest rates on 2-year T-bonds yield 2%, and interest rates on 3-year T-bonds yield 3.3%. a. If the pure expectations theory is correct, what is the yield on 1-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places.arrow_forward
- Today, interest rates on 1-year T-bonds yield 1.7%, interest rates on 2-year T-bonds yield 2.5%, and interest rates on 3-year T-bonds yield 3.7%.a. If the pure expectations theory is correct, what is the yield on 1-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places. b. If the pure expectations theory is correct, what is the yield on 2-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places. c. If the pure expectations theory is correct, what is the yield on 1-year T-bonds two years from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places.arrow_forwardSuppose 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_forwardToday, interest rates on 1-year T-bonds yield 1.2%, interest rates on 2-year T-bonds yield 2.6%, and interest rates on 3-year T-bonds yield 3.7%.a. If the pure expectations theory is correct, what is the yield on 1-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Round your answer to four decimal places. Do not round intermediate calculations. b. If the pure expectations theory is correct, what is the yield on 2-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Round your answer to four decimal places. Do not round intermediate calculations. c. If the pure expectations theory is correct, what is the yield on 1-year T-bonds two years from now? Be sure to use a geometric average in your calculations. Round your answer to four decimal places. Do not round intermediate calculations.arrow_forward
- the current 1-year bond and 2-year bond interest rates are both 4% and the 2-year term premium is estimated to be 1%. The expectations theory of the term structure predicts that the expected 1-year bond interest rate next year is ___%arrow_forwardAccording to the expectations theory of the term structure of interest, if the 1-year bond rate today is 6.50% p.a., the 2-year bond rate today is 6.70% p.a., and the 3-year bond rate today is 7.00%, what will be the 2-year bond rate next year?arrow_forwardSuppose that the current one-year rate (one-year spot rate) and expected one-year government bonds over years 2, 3 and 4 are as follows: 1R₁ = 4.80%, E(2r₁) = 5.45%, E(3r₁) = 5.95%, E(41) = 6.10% Assume that there are no liquidity premiums. To the nearest basis point, what is the current rate for the four-year-maturity government bond? A. 5.57% B. 5.62% C. 5.83% D. 6.10%arrow_forward
- Forecasting interest rates Assume the current interest rate on a one-year treasury bond(1R1) is 4.50 percent, the current rate on a two-year treasury bond (1R2) is 5.25 percent, and the current rate on a three-year treasury bond (1R3) is 6.50 percent. If the unbiased expectations theory of the term structure of interest rates is correct, what is the one-year forward rate expected on treasury bills during year 3, 3f1?arrow_forwardTen-year bonds have an interest rate of 6.5 percent, while 15-year bonds have an interest rate of 6.0 percent. If the expectations theory is correct, what does the market believe will be the interest rate on 5-year bonds, 10years from now? 5.5% 5% 12.5% 6.25%arrow_forwardThe term structure of interest rates has the following annual effective rates of interest for zero-coupon bonds. Maturity (Year) Annual Effective Yield on Zero-Coupon Bond 1 0.05 0.0525 0.055 3 At time 0, find the one-year forward one-year deferred and one-year forward two-year deferred annual effective forward rates of interest. For an interest only loan, find the level interest payment at the end of each year for three years that has the same present value as the payments based on the forward rates at those times.arrow_forward
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