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498 ECONOMIC ANALYSIS IN THE PUBLIC SECTOR
For decision making, the two versions of the benefit-cost ratio will produce the same
recommendation on whether toinvestornot investin the project being considered. The
numeric BIe ratiofor the two versionswill not alwaysbe the same, but the recommendation
will be. This fact is illustrated in Example 16-3.
Consider the highway expansion project from Example 16-2. Let us use the present worth
formulation ofconventionalandmodifiedversions to calculate the BICratio.
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\SOlUTION
Using theConventional B/CRatio
BICratio. =225,000(PI A,8%, 30) +300,000(PI F,8%, 30)=^1 .1^5
1,500,000 +65,000(PIA,8%, 30)
Using theModified BIC Ratio
. 225,000(P I A,8%, 30) +300,000(P I F,8%,30) - 65,000(P /A, 8%, 30)
B/Craho = = 1.22
1,500,000
Whether the conventional or the modified ratio is used, the recommendation is to invest in the
highway expansion project. The ratios are not identical in magnitude (1.15 vs 1.22), but the
decision is the same.
It is important when one is using the conventional and modified BICratios not to
directly compare the magnitudes of the two versions. Evaluating a project with one version
may produce a higher ratio than i&produced with the other version, but this does not imply
that the project is somehow better..
Thenet benefits to the usersof governmentprojects are the differencebetween the ex-
pectedbenefitsfrom investmentminus the expecteddisbenefits.Disbenefitsare the negative
effects of governmentprojects felt by some individuals or groups. For example,consider the
National Park System in the United States. Development projects by the skiing or lumber
industries might provide enormous benefits to the recreation or construction sectors while
creating simultaneous disbenefits for environmental groups. Table 16-2 illustrates some of
the primary benefits and disbenefits of several example public investments.
Incremental Benefit-Cost Analysis CONTENTS xv
In Chapter 9 we discussed using the incremental benefit-cost ratio in economic decision
analysis.As is the case with the internalrate of return (IRR) decisionmethod, the incremental
B/C ratio should be used in comparingsets of mutually exclusive alternatives.This method
produces a result that is consistent with the result produced by optimizing the present worth