Economic factors determine the foreign exchange rates of each currency pair, but currency arbitrage ensures that the rates cohere with the rates of all possible combinations of every currency.
Like almost anything else, the value of any currency is determined by supply and demand. The greater the demand in relation to the supply, the greater the value, and vice versa.
This is true even when no foreign exchange is involved. For instance, if a country never expands its money supply, then the money that is available becomes more valuable as the economy expands. Thus, the price of individual items decreases, which is deflation. When the money supply expands faster than the economy, then money becomes less valuable. It takes more money to purchase single items, leading to inflation.
Thus, the German mark became almost worthless after World War I, when the government simply printed much more money to pay its bills, or when the United States printed more money to pay for the Vietnam War, leading to significant inflation in the 's. Naturally, in foreign exchange, when currency of a particular country is plentiful, it will have less value against other currencies, and vice versa.
Demand for the currency also affects the exchange rate. If 1 country pays a significantly higher interest rate than another country, or has significantly more investment opportunities or a more stable government, then that country's currency will tend to have greater value than that of the other country. Sometimes governments, usually through their central banks, will intervene to keep currency pegged to another currency, as China keeps the yuan pegged to the United States dollar USD , but this is mostly accomplished by manipulating the supply and demand.
It would seem to make sense that the amount of currency in any country that can buy a particular basket of goods and services should be equal to the amount of another currency that can buy the same basket of goods.
This is referred to as purchasing power parity PPP. In most cases, purchasing power parity around the world cannot be compared directly, because of local factors.
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This is just a rough measure, of course, since some costs, like rent and labor, cannot be traded or equalized easily. It also ignores capital flows across borders, which is a much larger determinant of currency exchange rates, especially within a short time period.
Although purchasing power parity makes sense, it cannot really establish foreign exchange rates, because of the difficulties in equalizing the rates if it should differ from parity. When there are no restrictions on the flow of capital or goods and services across international boundaries and if the same goods or assets are sold in different markets for different prices, then the goods or assets can be bought in the cheap market and sold in the more expensive market for a virtually risk-free profit, which is known as arbitrage.
Arbitrage equalizes prices in different markets to within a narrow range.
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However, sometimes the expense of transporting and selling the goods in the higher-price market is greater than the price differential. For instance, if it takes fewer U. Someone might try to buy the basket of goods from the United States and sell it in Europe.
However, transportation costs and taxes would reduce or eliminate any potential profits significantly. Thus, there is a wide gap that cannot be closed by arbitrage, because of the expenses of buying in 1 country, transporting it to another, then selling it there—at least for most commodities, especially food and energy.
Currency Cross Rates and Triangular Arbitrage in the FX Spot Market
Most currency trades are now done over the Internet, where time and distance are no barrier. When you buy or sell currency, you usually do so with a market maker in that currency. There are many market makers for most currencies, especially the major currencies.
A market maker may deal in U. If the market maker starts getting a lot of dollars in exchange for Euros, he will raise the ask price for Euros, and lower the bid price for dollars until the orders start equalizing more. If he didn't do this, he would soon run out of Euros and be stuck with dollars. Thus, to stay in business he lowers his bid price for dollars and increases his ask price for Euros.
To replenish his supply of Euros, he also raises his bid for them, and to get rid of the excess dollars that he accumulated, he lowers his ask price for dollars. This is how supply and demand works with a single market maker—but there are many of them located throughout the world. Each market maker must maintain parity with other market makers in the same currencies—otherwise arbitrageurs would buy, for instance, Euros from the market maker with a lower ask price and sell it to another market maker with a higher bid, and would continue doing so until the prices equalized to within transaction costs.
Cross rates are the exchange rates of 1 currency with other currencies, and those currencies with each other. Cross rates are equalized among all currencies through a process called triangular arbitrage. Below is a table of key cross rates of some major currencies.
All currency quotes are given in pairs, and each pair can be expressed as a fraction. To illustrate, if a Great Britain pound GBP is worth 1. We also see from the above table that a Euro is worth 0.
GBP cancels out, resulting in a quote for dollars per Euro. As you can see, this is very close to the actual quote, 1. It is also true that arbitrage is not a perfect equalizer because the market is not perfectly efficient. But what if these cross rates didn't equalize.
Suppose, for instance, that 1 GBP was exactly equal to 2 USD, with all other cross rates remaining the same. Obviously, the above equation would not hold, but it would present an arbitrage opportunity in the FX spot market, as illustrated below:.
This can be illustrated graphically as a self-closing triangle of currency exchanges, which is why it is called triangular arbitrage. So, will you be able to profit from triangular arbitrage? There are, no doubt, many professionals and banks that have computers constantly calculating the cross rates of all currencies. If there are any inequalities greater than transaction costs, then they will be quick to close the gap, because if they don't, someone else will.
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