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Chapter 6, Problem 8P
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### Fundamentals of Financial Manageme...

15th Edition
Eugene F. Brigham + 1 other
ISBN: 9781337395250

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Section
BuyFindarrow_forward

### Fundamentals of Financial Manageme...

15th Edition
Eugene F. Brigham + 1 other
ISBN: 9781337395250
Textbook Problem

# EXPECTATIONS THEORY Interest rates on 4-year Treasury securities are currently 6.7%, while 6-year Treasury securities yield 7.25%. If the pure expectations theory is correct, what does the market believe that 2-year securities will be yielding 4 years from now? Calculate the yield using a geometric average.

Summary Introduction

To identify: The interest rate on the 2 year treasury securities.

Introduction:

Expectation Theory:

Expectation theory estimates the future interest without considering the maturity risk. According to the expectation theory, the yield curve of investment totally depends upon the future expectation of the investors.

Explanation

The items required for the calculation of the yield on 2 year treasury securities are the yield on 4 year securities and the yield on 6 year securities.

Given,

Yield on 4 year securities is 6.7% or 0.067.

Yield on 6 year securities 7.25% or 0.0725.

Formula to calculate the yield on 2 year securities derives from the formula of yield on 6 year securities,

(1+Yieldāonā6āyearāSecurities)6=[(1+Yieldāonā4āyearāSecurities)4Ć(1+Yieldāonā2āyearāSecurities)2](1+Yieldāonā2āyearāSecurities)2=[(1+Yieldāonā6āyearāSecurities)6(1+Yieldāonā4āyearāSecurities)4]

Substitute 0

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