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Consumer andProducerSurplusin
Benefit-Cost Analysis
(Campbell & Brown Chapter 7)
Harry Campbell & Richard Brown
School of Economics
UQ, St. Lucia 2003
BENEFIT-COST ANALYSIS
BENEFIT-COST ANALYSIS
nancial and economic
nancial and economic
appraisal using spreadsheets
appraisal using spreadsheets
The market prices of project inputs or outputs will NOT
change if:
- the inputs or outputs are TRADED ie. price is
determined in world markets)
- the project is SMALL relative to the size of the
economy in which is undertaken
Examples of project outputs or inputs whose prices
might change:
- output: a bridge - price of trips across a river
- input: wage of skilled labour in a local market
eg. ICP case study (Ch.7, p.26)
Suppose the market price of project output is predicted
to fall from P
0
to P
1
as a result of the increase in
quantity supplied from Q
0
to Q
1
(as in Figure 7.1).
How do we value the additional output (Q
1
- Q
0
) in
a social benefit-cost analysis?
Project Analysis: use P
1
Private Analysis: use P
1
Efficiency Analysis: use (P
0
+P
1
)/2
Referent Group Analysis: calculate the aggregate
net benefits in the usual way
How do we account for the fall in price of the original
quantity of output, Q
0
? Clearly consumers benefit by
the amount (P
0
- P
1
)Q
0
. When will that represent a
net benefit of the project?
When the fall in price from P
0
to P
1
represents a fall
in cost, as in the bridge example, the value (P
0
- P
1
)Q
0
is a net benefit which is included in the efficiency net
benefits.
When the fall in price does not represent a fall in cost, one
group is better off (consumers) and another group is worse
off (firms) by the same amount. The amount (P
0
- P
1
)Q
0
is
simply a transfer from consumers to firms and it nets out in
the efficiency benefit-cost analysis.
Suppose that the fall in product price is not matched by
a fall in production cost.What is the effect on aggregate
referent group benefits of allowing for the change in
output price, compared to the case in which there is no
change in price?
1. Suppose that the private firm is not a member of the
referent group (as in the ICP case study):
efficiency net benefits fall but private net benefits fall
even more, hence RG net benefits rise. Consumers
benefit at the expense of the firm.
2. Suppose that the private firm is a member of the
referent group. Then efficiency net benefits are the same
as RG net benefits, and hence RG net benefits fall. The
reason for the fall is the lower value placed on the extra
output produced by the project.
The social benefit-costanalysis implements the Kaldor-
Hicks (K-H) criterion by assessing whether a project
is a potential Pareto improvement.
A potential Pareto improvement exists if the gainers from
a project could compensate the losers and still be
better off.
Gains and losses are measured as COMPENSATING
VARIATIONS.
Compensating variations are measured as areas of
consumer surplus under demand curves, or as
areas of producersurplus above supply curves.
Applying the Kaldor-Hicks criterion: suppose I said that
I was going to change the lecture time from 4 pm to 8 am.
That would suit some people (the gainers) and not suit
others (the losers).
To apply the K-H criterion, I ask each gainer to work out
how much money I could take away from them and still
leave them as well off as before the change. And I ask
each loser to work out how much money I would need
to pay to them to leave them as well off as before the
change. These sums are the compensating variations (CVs).
I ask each person to write their CV amount on a piece of
paper (positive for gainers, negative for losers). I then pass
the hat around: each person puts their piece of paper in the
hat and if the net value of the aggregate CV is positive, the
change is a potential Pareto improvement.
. Lucia 2003
BENEFIT-COST ANALYSIS
BENEFIT-COST ANALYSIS
nancial and economic
nancial and economic
appraisal using spreadsheets
appraisal using spreadsheets
.
Consumer and Producer Surplus in
Benefit-Cost Analysis
(Campbell & Brown Chapter 7)
Harry Campbell