Real Effective Exchange Rate Calculate

The real effective exchange rate (REER) is a measure that accounts for both the nominal exchange rate and the price differences between two countries due to inflation and interest rate differentials. This calculator helps you determine the REER between two currencies, providing a more accurate picture of purchasing power parity.

What is Real Effective Exchange Rate?

The real effective exchange rate is a key concept in international economics that combines the nominal exchange rate with the relative price levels of goods and services between two countries. It provides a more accurate measure of a country's trading competitiveness than the nominal exchange rate alone.

Unlike the nominal exchange rate, which only shows the direct conversion between two currencies, the real effective exchange rate accounts for:

Inflation differentials between the two countries
Interest rate differentials
Changes in relative prices of goods and services

This makes the REER a more comprehensive measure of a country's ability to trade with other countries.

How to Calculate

To calculate the real effective exchange rate, you need to consider several factors including the nominal exchange rate, inflation rates, and interest rate differentials. The calculation involves several steps to account for all these factors.

Key Components

The calculation requires the following inputs:

Nominal exchange rate (E)
Inflation rate in country A (π_A)
Inflation rate in country B (π_B)
Interest rate in country A (r_A)
Interest rate in country B (r_B)

These inputs are used in the formula to determine the real effective exchange rate.

Formula

The formula for calculating the real effective exchange rate is:

REER = E × (1 + π_B - π_A) × (1 + r_B - r_A)

Where:

REER = Real Effective Exchange Rate
E = Nominal Exchange Rate
π_A = Inflation Rate in Country A
π_B = Inflation Rate in Country B
r_A = Interest Rate in Country A
r_B = Interest Rate in Country B

This formula combines the nominal exchange rate with adjustments for inflation and interest rate differentials to provide a more accurate measure of purchasing power parity.

Example Calculation

Let's look at an example to illustrate how the real effective exchange rate is calculated.

Scenario

Suppose we have the following data for two countries:

Nominal Exchange Rate (E) = 1.20 USD/EUR
Inflation Rate in Country A (π_A) = 2.5% (USD)
Inflation Rate in Country B (π_B) = 1.8% (EUR)
Interest Rate in Country A (r_A) = 3.0% (USD)
Interest Rate in Country B (r_B) = 1.5% (EUR)

Using these values in the formula:

REER = 1.20 × (1 + 0.018 - 0.025) × (1 + 0.015 - 0.030) REER = 1.20 × (1 - 0.007) × (1 - 0.015) REER = 1.20 × 0.993 × 0.985 REER ≈ 1.177

This means that 1 EUR is equivalent to approximately 1.177 USD in real terms, accounting for inflation and interest rate differentials.

Interpreting Results

Interpreting the real effective exchange rate requires understanding how it differs from the nominal exchange rate and what it tells us about purchasing power parity.

Key Insights

A higher REER means that the domestic currency is stronger in real terms, making imports cheaper and exports more expensive.
A lower REER means the domestic currency is weaker in real terms, making imports more expensive and exports cheaper.
Changes in the REER can indicate shifts in a country's trading competitiveness and economic conditions.

By comparing the REER over time, you can assess how changes in inflation and interest rates affect a country's ability to trade with other countries.

FAQ

What is the difference between nominal and real effective exchange rate?

The nominal exchange rate only shows the direct conversion between two currencies, while the real effective exchange rate accounts for inflation and interest rate differentials, providing a more accurate measure of purchasing power parity.

Why is the real effective exchange rate important?

It provides a more accurate picture of a country's trading competitiveness by accounting for price differences due to inflation and interest rates, which the nominal exchange rate alone cannot capture.

How often should the real effective exchange rate be recalculated?

The REER should be recalculated whenever there are significant changes in inflation rates or interest rates between the two countries, typically on a quarterly or annual basis.