The nominal exchange rate is the price of one currency expressed in terms of another. Think of it as the “price tag” you see when you buy a foreign product online.
\$E_{nom} = \frac{\text{Domestic currency per unit of foreign currency}}{1}\$
Example: If 1 USD costs 0.75 GBP, then
\$E_{nom}^{GBP/USD} = 0.75\$
This tells you how many pounds you need to buy one US dollar.
The real exchange rate adjusts the nominal rate for differences in price levels between two countries. It shows how many goods you can buy in one country compared to another.
\$E{real} = E{nom} \times \frac{P^*}{P}\$
where \$P^*\$ = price level in the foreign country, \$P\$ = price level in the domestic country.
Analogy: Imagine you’re comparing apples and oranges. The nominal rate is like comparing the price of an apple in the US to a pound in the UK. The real rate tells you how many apples you can actually buy in each country after considering the cost of apples in both places.
Suppose:
Then:
\$E_{real} = 0.80 \times \frac{120}{100} = 0.96\$
This means that, after adjusting for price differences, one US dollar can buy slightly more goods in the UK than the nominal rate suggests.
| Aspect | Nominal | Real |
|---|---|---|
| Definition | Price of one currency in terms of another | Nominal rate adjusted for price level differences |
| Shows | How much of one currency you need to buy another | Purchasing power parity between countries |
| Affected by | Interest rates, speculation, policy | Inflation, price levels, nominal rate |
| Use in | International trade, travel, investment | Comparing competitiveness, inflation-adjusted trade |
Did you know that the real exchange rate can sometimes be greater than 1 even if the nominal rate is less than 1? That means the domestic currency is actually stronger in terms of purchasing power than the nominal rate suggests! 🌍✨