Implied Exchange Rate Calculator
Calculate PPP (Purchasing Power Parity) and currency valuation based on the cost of goods.
Calculation Results
How to Calculate Implied Exchange Rate
The Implied Exchange Rate is a financial concept typically used in the context of Purchasing Power Parity (PPP). It allows economists and traders to determine what the exchange rate between two currencies should be, based on the relative cost of an identical good in both countries. If the implied rate differs significantly from the actual market rate, it suggests that a currency is either overvalued or undervalued.
The most famous application of this calculation is the "Big Mac Index" created by The Economist, which compares the price of a McDonald's Big Mac across different countries to measure currency valuation.
The Formula
To calculate the implied exchange rate, you simply divide the price of a good in the local currency by the price of the same good in the base currency (usually the US Dollar).
To determine if the currency is overvalued or undervalued, you compare this implied rate to the current market exchange rate:
Example Calculation
Let's assume we are comparing the Euro (EUR) against the US Dollar (USD) using a fast-food burger as our benchmark good.
- Price in Eurozone: €5.50
- Price in USA: $5.81
- Current Market Rate: 0.92 EUR/USD
Step 1: Calculate Implied Rate
5.50 / 5.81 = 0.9466 (This is the PPP exchange rate)
Step 2: Compare to Market Rate
The market rate is 0.92, but the implied rate is 0.9466. Since the implied rate is higher, the local currency price is theoretically higher than it should be relative to the exchange rate.
Step 3: Calculate Valuation
((0.9466 – 0.92) / 0.92) × 100 = +2.89%
In this scenario, the Euro is effectively overvalued by 2.89% against the Dollar according to the burger index. This implies that the current market exchange rate makes goods in the Eurozone slightly more expensive for Dollar holders than the theoretical parity suggests.
Why is Implied Exchange Rate Important?
- Economic Analysis: It helps central banks and economists understand the long-term trends of exchange rates and inflation differentials.
- Arbitrage Opportunities: Traders look for massive discrepancies between implied and market rates as potential long-term trading opportunities, relying on the theory that rates tend to revert to the mean (PPP) over time.
- Cost of Living Comparison: For travelers and expats, the implied exchange rate gives a more realistic view of how far their money will go in a foreign country compared to simply looking at the bank exchange rate.