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DIGEST 2006 - Sabita

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we can economically test a<br />

possible investment:<br />

• The discount rate captures<br />

the opportunity cost of<br />

capital. In a sound<br />

investment, this must be less<br />

than the discount rate at<br />

which the present value of<br />

benefits and costs are equal,<br />

i.e. the internal rate of return<br />

(IRR).<br />

• We subtract the discounted<br />

costs from the discounted<br />

benefits so as to<br />

estimate the net<br />

present value<br />

(NPV) of the<br />

contemplated<br />

investment. This<br />

is the most<br />

direct way of<br />

comparing two<br />

types or<br />

instances of<br />

asset, such as a<br />

gravel road and<br />

a paved road:<br />

which has the<br />

higher NPV? It is<br />

immediately obvious that this<br />

form of comparison must be<br />

highly sensitive to the period<br />

of time over which we choose<br />

to estimate costs and<br />

benefits. One asset might pile<br />

up costs earlier than another<br />

but then deliver a better ratio<br />

of benefits to costs at later<br />

stages. How many of these<br />

later stages are factored into<br />

the calculation of NPV will<br />

then crucially influence the<br />

conclusion of our comparison.<br />

The key to effective economic<br />

analysis of any investment<br />

decision is finding a way to<br />

account for all consequences that<br />

have value to people or impose<br />

costs on them, even where the<br />

values and costs in question don’t<br />

have prices assigned to them<br />

directly by markets. Such<br />

non-traded cost and benefit<br />

streams must be assigned<br />

so-called ‘shadow prices’, that is,<br />

monetary amounts people appear<br />

willing to pay to avoid the costs<br />

and acquire the benefits.<br />

The key to<br />

effective economic<br />

analysis ... is<br />

finding a way to<br />

account for all<br />

consequences that<br />

have value to<br />

people or impose<br />

costs on them<br />

For example, if someone whose<br />

time can be sold<br />

on the consulting<br />

market for R1,000<br />

per hour spends<br />

two hours per<br />

month polishing<br />

their car, we can<br />

shadow price the<br />

value of a shiny<br />

car to that person<br />

at R24,000 per<br />

year.<br />

Bearing in mind<br />

that surfaced<br />

roads are<br />

relatively costly to build but<br />

relatively cheaper to maintain than<br />

gravel roads, we can identify the<br />

two general factors that have<br />

mainly contributed to overestimations<br />

of the economic value<br />

of gravel roads as compared to<br />

paved ones. The first is failure to<br />

consider long enough periods in<br />

calculating NPVs, or implicitly<br />

assuming too steep a discount<br />

rate (which amounts to the same<br />

thing). The second is failure to<br />

incorporate shadow prices for a<br />

range of non-traded benefits that<br />

flow from paved but not from<br />

gravel roads, or flow from gravel<br />

roads only to a lesser extent.<br />

19

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