Monday, September 23, 2013

Numeraire and Price Level



One of the earliest decisions that an analyst confronts is the choice of currency
and price level in which to conduct the analysis. In principle, analysts
can evaluate a project in any currency and at any price level. In practice,
they usually evaluate projects in the domestic currency of the country
implementing the project at prevailing market prices adjusted for distortions,
that is, at the domestic price level. These are not the only possible
choices. The two most frequently used alternatives are domestic currency
at the border price level and foreign currency at the border price level.

When analysts use domestic currency at the border price level, they calculate
the prices of all imports by taking the corresponding cost in the imports’
country of origin, adding insurance and freight (CIF) in foreign currency,
and converting it into domestic currency at the prevailing market or official exchange rate, whichever exchange rate the project entity uses to buy
foreign currency. Analysts must then adjust CIF prices for internal transport
costs. The prices of exports are calculated by taking their free on board (FOB)
prices in foreign currency, converting them into domestic currency at the
prevailing market or official exchange rate, and adjusting them for transport
costs within the country. A market exchange rate is used in this context to
mean the price at which the project entity actually gets its foreign exchange.


The prices of nontraded goods, such as services, are converted to their
border price equivalent by means of conversion factors. If the analysis is
done in foreign currency at the border price level, the prices of imports and
exports remain in foreign currency. The prices of such things as cleaning
services, however, are first converted to their border price equivalent by
means of a conversion factor, and then to their foreign currency equivalent
by means of the prevailing market or official exchange rate.

If the analysis is carried out in domestic currency at the domestic price
level, the analyst calculates the prices of imports and exports at their respective
border prices, but converts them to their domestic currency equivalent
using a shadow exchange rate that reflects the opportunity cost of foreign
exchange to the country. The analyst takes the prices of nontraded
goods and services, such as cleaning services, at their prevailing market
prices adjusted for distortions.

The price of the service (and in general of all nontraded goods whose
market prices reflect the true economic costs) would be converted as follows.
If we use domestic prices at the domestic price level, the price of the
service would be taken as given. If we use domestic currency at the border
price level, we would need to calculate the border price of the service by
using a conversion factor. In this case, the appropriate conversion factor
would be the ratio of the official to the shadow exchange rate, 0.88. If the
numeraire is foreign currency at the border price level, the border price in
domestic currency would have to be further converted to dollars using the
market exchange rate.

The choice of currency and price level is largely a matter of convenience
and will have no impact on relative prices or on the decision to
accept or reject a project. for example, the price of the imported
good relative to the price of cleaning services is 2.5:1 in all cases. As
long as relative prices are unaffected, if the NPV of a project is positive in
one case, it will be positive in all cases. Moreover, the NPV measured in
domestic currency at the domestic price level will differ from the NPV
measured in domestic currency at the border price level by the ratio of the
market exchange rate to the shadow exchange rate, that is. Therefore, one can quickly convert the NPV from one numeraire to another. The internal rate of return (IRR) remains the same, regardless of numeraire.

In most countries, the domestic price level is the price level used to
keep national accounts, the price level used by the government to reckon
its taxes and expenditures, and also the price level used by business. One
usually conducts financial analysis in domestic currency at prevailing market
prices. To integrate financial, fiscal, and economic analyses; to assess
risk and sustainability; and to identify gainers and losers, the analyst must
express the financial and economic analyses in the same unit of account.
When the financial analysis is performed in one unit of account and the
economic analysis in another, the differences between the financial and the
economic values have no meaning. Because we generally conduct financial
and fiscal analyses in domestic prices at the domestic price level, it is most convenient to carry out the economic analysis in the same unit of
account. If we use the border price level for the economic analysis, the
fiscal impact of the project would need to be calculated twice, first at the
border price level and then at the domestic price level. Moreover, for the
evaluation of projects with nontradable benefits, for example, projects in
education, health, and transportation, it is much easier to evaluate the benefits in domestic currency at the domestic price level than in some other
numeraire.


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