Currency & Forex
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Real Exchange Rate

The nominal rate adjusted for price levels, measuring relative purchasing power.

Formula

RER=S×PforeignPdomesticRER = S \times \dfrac{P_{foreign}}{P_{domestic}}

Variables

RERReal exchange rate
SNominal exchange rate
P_{foreign}Foreign price level
P_{domestic}Home price level

Example

S 1.1, foreign 105, home 100: RER = 1.155

How it works

The real exchange rate compares the purchasing power of two currencies after accounting for their price levels, so it tells you how many home-country goods are needed to buy a basket of foreign goods. It works by taking the market exchange rate and adjusting it by the ratio of foreign prices to domestic prices, which removes the distortion caused by inflation differences. If the real exchange rate rises, foreign goods have become relatively more expensive for home consumers, while a lower real exchange rate means home goods are relatively more expensive.

When to use it

Use this when you want to compare international competitiveness, assess whether a currency is over- or undervalued in real terms, or analyze trade and purchasing power across countries. It is especially useful in macroeconomics, international finance, and price-comparison studies.

Worked example, step by step

Given: S = 0.80 P_foreign = 125 P_domestic = 100 Step 1: Substitute into the formula RER = S × (P_foreign / P_domestic) RER = 0.80 × (125 / 100) Step 2: Compute the price ratio 125 / 100 = 1.25 Step 3: Multiply by the nominal exchange rate RER = 0.80 × 1.25 = 1.00 Final answer: RER = 1.00

Common mistakes to avoid

  • Reversing the price ratio and using P_domestic / P_foreign instead of P_foreign / P_domestic
  • Treating the real exchange rate as the same thing as the nominal exchange rate
  • Mixing up currency units or price indices so the numerator and denominator are not comparable

Did You Know?

A rising real exchange rate erodes export competitiveness even when the nominal rate is unchanged.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026