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This reduces rounding issues and the need to use excessive numbers of decimal places.There are some exceptions to this rule: for example, the Japanese often quote their currency as the base to other currencies.The real exchange rate (RER) is the purchasing power of a currency relative to another at current exchange rates and prices.It is the ratio of the number of units of a given country's currency necessary to buy a market basket of goods in the other country, after acquiring the other country's currency in the foreign exchange market, to the number of units of the given country's currency that would be necessary to buy that market basket directly in the given country.
There are various ways to measure RER. Thus the real exchange rate is the exchange rate times the relative prices of a market basket of goods in the two countries.
For example, the purchasing power of the US dollar relative to that of the euro is the dollar price of a euro (dollars per euro) times the euro price of one unit of the market basket (euros/goods unit) divided by the dollar price of the market basket (dollars per goods unit), and hence is dimensionless.