EBK FINANCIAL MARKETS AND INSTITUTIONS
EBK FINANCIAL MARKETS AND INSTITUTIONS
6th Edition
ISBN: 8220100263750
Author: SAUNDERS
Publisher: YUZU
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Chapter 2, Problem 14P
Summary Introduction

To determine: The annual rates from year 1 to year 4.

Expert Solution
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Answer to Problem 14P

The current rate of one-year is 5.65%, two-year is 6.22%, three-year is 6.47% and four-year treasury security is 6.67%.

Explanation of Solution

Determine the current rate of one-year and two-year treasury security

The current rate of one-year treasury security is already given, which is 5.65%.

CurrentRate2Year=[((1+RateYear1)×(1+ExpectedRateYear2+LiquidityPremiumYear2))(1n)1]=[((1+5.65%)×(1+6.75%+0.05%))(12)1]=[1.0622341]=0.062234or6.22%

Therefore, the current rate of two-year treasury security is 6.22%.

Determine the current rate of three-year treasury security

CurrentRate3Year=[((1+RateYear1)×(1+ExpectedRateYear2+LiquidityPremiumYear2)×(1+ExpectedRateYear3+LiquidityPremiumYear3))(1n)1]=[((1+5.65%)×(1+6.75%+0.05%)×(1+6.85%+0.10%))(13)1]=[1.0646511]=0.064651or6.47%

Therefore, the current rate of three-year treasury security is 6.47%.

Determine the current rate of four-year treasury security

CurrentRate3Year=[((1+RateYear1)×(1+ExpectedRateYear2+LiquidityPremiumYear2)×(1+ExpectedRateYear3+LiquidityPremiumYear3)+(1+ExpectedRateYear4+LiquidityPremiumYear4))(1n)1]=[((1+5.65%)×(1+6.75%+0.05%)×(1+6.85%+0.10%)×(1+7.15%+0.12%))(14)1]=[1.0666571]=0.066657or6.67%

Therefore, the current rate of four-year treasury security is 6.67%.

Summary Introduction

To determine: The yield curve for the current rate.

Expert Solution
Check Mark

Explanation of Solution

The yield curve is as follows:

EBK FINANCIAL MARKETS AND INSTITUTIONS, Chapter 2, Problem 14P

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