CFIN
CFIN
5th Edition
ISBN: 9781305661639
Author: Scott Besley, Eugene Brigham
Publisher: Cengage Learning
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Chapter 5, Problem 10PROB
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:

Forward rate=((Nthyear×Nthyear interest rate)((N-1)thyear×(N-1)thyear interest rate))

Given five year Treasury bond rate is 3.1%, six year Treasury bond rate is 2.9% and seven year Treasury bond rate is 2.6%.

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The interest rate on one-year Treasury bonds is 0.4 percent, the rate on two-year T-bonds is 0.8 percent, and the rate on three-year T-bonds is 1.1 percent. Using the expectations theory, compute the expected one-year interest rates in (a) the second year (Year 2 only) and (b) the third year (year 3 only).
The interest rate on five-year Treasury bonds is 3.1 percent, the rate on six-year T-bonds is 2.9 percent, and the rate on seven-yearT-bonds is 2.6 percent. Using the expectations theory, compute the expected one-year interest rates in (a) Year 6 only and (b) Year 7 only.
Today, 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.
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