Investments, tenth edition



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 Figure 2.4 

Tax-exempt debt outstanding  

 Source:  Flow of Funds Accounts of the United States,  Board of Governors of the Federal Reserve System, June 2012. 

1979


1980

1981


1982

1984


1986

1988


1990

1992


1994

1996


1998

1983


1985

1987


1989

1991


1993

1995


1997

1999


2001

2000


2002

2004


2006

2008


2010

2012


2003

2005


2007

2009


2011

Industrial Revenue Bonds

General Obligation

0

500



1,000

1,500


$ Billion

2,000


2,500

3,000


bod61671_ch02_028-058.indd   37

bod61671_ch02_028-058.indd   37

6/18/13   7:41 PM

6/18/13   7:41 PM

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38

P A R T   I

 Introduction

 This table frequently appears in the marketing literature for tax-exempt mutual bond 

funds because it demonstrates to high-tax-bracket investors that municipal bonds offer 

highly attractive equivalent taxable yields. Each entry is calculated from Equation 2.2. If 

the equivalent taxable yield exceeds the actual yields offered on taxable bonds, the investor 

is better off after taxes holding municipal bonds. Notice that the equivalent taxable interest 

rate increases with the investor’s tax bracket; the higher the bracket, the more valuable the 

tax-exempt feature of municipals. Thus high-tax-bracket investors tend to hold municipals. 

 We also can use Equation 2.1 or 2.2 to find the tax bracket at which investors are indif-

ferent between taxable and tax-exempt bonds. The cutoff tax bracket is given by solving 

Equation 2.2 for the tax bracket at which after-tax yields are equal. Doing so, we find that

5 1 2

r

m

r

 

 (2.3)   



 Thus the yield ratio  r  

 m 

 / r  is a key determinant of the attractiveness of municipal bonds. The 

higher the yield ratio, the lower the cutoff tax bracket, and the more individuals will prefer 

to hold municipal debt.  Figure 2.5  plots the ratio of 20-year municipal debt yields to the 


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