9781118041581

(Nancy Kaufman) #1
A portfolio manager has $20 million to invest in a fund consisting of the following
bonds:

Maturity Yield
Bond Category Quality Rating (Years) (Percent)
Treasury bills 5 .4 4.0
Treasury bonds 5 4.0 6.0
Corporate bonds 3.5 3.2 4.4
Municipal bonds 3 2.0 5.6
Junk bonds 1 2.5 8.0

He has listed the bonds in descending order of quality rating (treasury securities
carry the lowest risk, junk bonds are most risky). The second column lists average
maturity (in years) for each category. The final column shows the expected return or
yield (in percent per year, after tax) for each bond. Junk bonds have the greatest
expected return, followed by treasury bonds.

707

CHAPTER 17


Linear Programming


Management is the art of doing the best one can within constraints and
occasionally getting around them.
ANONYMOUS

An Investment
Problem

c17LinearProgramming.qxd 9/26/11 11:05 AM Page 707

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