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1
Chapter 3
Structure of Interest Rates
Financial Markets and Institutions, 7e, Jeff Madura
Copyright ©2006 by South-Western, a division of Thomson Learning. All rights reserved.
2
Chapter Outline
Characteristics of debt securities that
cause their yields to vary
Explaining actual yield differentials
Estimating the appropriate yield
A closer look at the term structure
International structure of interest rates
3
Characteristics of Debt Securities
Credit (default) risk
Securities with a higher degree of risk have to offer
higher yields to be chosen
Credit risk is especially relevant for longer-term
securities
Investors must consider the creditworthiness of the
security issuer
Can use bond ratings of rating agencies
The higher the rating, the lower the perceived credit risk
Ratings can change over time as economic conditions
change
Ratings for different bond issues by the same issuer can vary
4
Characteristics of Debt Securities
(cont’d)
Credit (default) risk (cont’d)
Rating agencies
Moody’s Investor Service and Standard and Poor’s
Corporation are the most popular
Agencies use different methods to assess the
creditworthiness of firms and state governments
A particular bond issue could have different ratings from each
agency, but differences are usually small
Financial institutions may be required to invest only in
investment-grade bonds rated Baa or better by Moody’s
and BBB or better by Standard and Poor’s
5
Characteristics of Debt Securities
(cont’d)
Ratings Assigned by:
Description of Security Moody’s Standard and Poor’s
Highest quality Aaa AAA
High quality Aa AA
High-medium quality A A
Medium quality Baa BBB
Medium-low quality Ba BB
Low quality (speculative) B B
Poor quality Caa CCC
Very poor quality Ca CC
Lowest quality (in default) C DDD, D
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Characteristics of Debt Securities
(cont’d)
Credit (default) risk (cont’d)
Shifts in credit risk premiums
The risk premium corresponding to a particular
bond rating can chance over time
Accuracy of credit ratings
In general, credit ratings have served as
reasonable indicators of the likelihood of default
Credit rating agencies do not always detect
financial problems of firms
7
Characteristics of Debt Securities
(cont’d)
Liquidity
Liquid securities can be easily converted to
cash without a loss in value
Short-maturity securities with an active secondary
market are liquid
Securities with lower liquidity have to offer a
higher yield to be preferred
8
Characteristics of Debt Securities
(cont’d)
Tax status
Investors are more concerned with after-tax income
than before-tax income
Taxable securities have to offer a higher before-tax yield
to be preferred
The after-tax yield is equal to:
)1( TYY
btat
−=
9
Characteristics of Debt Securities
(cont’d)
Tax status
Computing the equivalent before-tax yield
The before-tax yield necessary to match the after-tax yield
on a tax-exempt security is:
State taxes should be considered along with federal taxes
)1( T
Y
Y
at
bt
−
=
10
Computing the Equivalent
Before-Tax Yield
Assume a firm in the 30 percent tax bracket is
aware of a tax-exempt security that pays a yield
of 9 percent. To match this after-tax yield,
taxable securities (with similar maturity and
risk) must offer a before-tax yield of:
%86.12
)3.1(
%9
)1(
=
−
=
−
=
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Y
Y
at
bt
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