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Calculators and Calculations
Home›Calculators and Calculations›How to calculate real exchange rate

How to calculate real exchange rate

By Matthew Lynch
October 13, 2023
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The real exchange rate is a critical economic indicator that reflects the purchasing power of a country’s currency. It reveals how much one nation’s currency can be exchanged for another in real terms, considering price level differences in both countries. In this article, we will guide you through the process of calculating the real exchange rate and discuss its importance in international trade and finance.

Understanding Nominal Exchange Rate

To calculate the real exchange rate, it’s necessary to first understand the nominal exchange rate. The nominal exchange rate (E) is simply the exchange rate determined by the supply and demand forces of two different currencies. It denotes how many units of a foreign currency you can get for one unit of your own currency.

For instance, if 1 USD can be exchanged for 0.85 Euros, the nominal exchange rate would be 1 USD = 0.85 EUR.

Calculating Real Exchange Rate

Now that we know what a nominal exchange rate is, let’s dive into the real exchange rate calculation. The formula to calculate the real exchange rate is:

Real Exchange Rate (RER) = (E x Pd) / Pf,

where:

– E is the nominal exchange rate

– Pd is the price level in the domestic country (home country)

– Pf is the price level in the foreign country

Let’s break down each component:

1. Nominal Exchange Rate (E): As discussed earlier, this denotes how many units of foreign currency can be exchanged for one unit of domestic currency.

2. Price Level (Pd and Pf): Price level represents how expensive goods and services are in a specific country. Typically, a Consumer Price Index (CPI) or GDP deflator can be used as proxies for price levels.

Example Calculation

Suppose you want to calculate the real exchange rate between USD and EUR. Assume that:

– Nominal exchange rate (E) is 1 USD = 0.85 EUR

– Price level of the USA (Pd) is a CPI of 120

– Price level of the Eurozone (Pf) is a CPI of 100

Now, substitute these values in the real exchange rate formula:

RER = (0.85 x 120) / 100 = 102 /100 = 1.02

The real exchange rate between USD and EUR is 1.02, which means that one unit of US Dollar can buy more real goods and services in the Eurozone than previously indicated by the nominal exchange rate.

The Importance of Real Exchange Rate

The real exchange rate plays a crucial role in international trade and finance for several reasons:

1. It helps measure the competitiveness and productivity of a country’s products in comparison to other nations.

2. It measures if a currency is overvalued or undervalued relative to another currency, which can impact imports and exports.

3. Central banks often use real exchange rates to adjust their monetary policies, aiming at economic growth and stable inflation.

In conclusion, calculating the real exchange rate helps shed light on a country’s economic health and its position in global trade. By using this method, businesses, policymakers, and investors can evaluate performance, make better-informed decisions, and better understand international economic trends.

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Matthew Lynch

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