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The beta coefficient is a statistical measure that can be used to compare different items. 

The idea of using the beta coefficient is common among stock analysts trying to find those stocks that are moving differently to the main market average. This has a number of benefits, not least that stocks with higher beta coefficients offer a greater level of diversification than those with lower beta coefficients. 

A stock with a low beta coefficient will be unlikely to outperform the overall market, whereas a stock with a high beta coefficient could move in a completely different direction. Some stocks with a high beta may even move in the opposite direction to the average, allowing them to survive market downturns. 

In stocks, this beta can be measured with the following calculation:

Beta (x) = Slope of stock x / Slope of market average

In other words, if a stock increases in value by 14% while the market average increased by only 10%, the stock's beta would be 1.4. Generally, those markets with higher beta's can be said to offer better risk/reward.

Using beta in forex

While beta is commonly used in stocks, it is rarely used in forex and for a very good reason.  Simply, because forex markets are valued against one another, they do not possess any upward bias, like stock markets do. 

Stock markets generally move higher over time, corresponding with economic growth and the act of buy and hold investing.

Conversely, forex markets fluctuate, where the simultaneous buying of one currency reflects the selling of another. 

The upshot of this is that there is no point in calculating beta in forex by comparing one market to the slope of the market average. 

A much better idea is to construct a market average of currencies, making sure to adjust them for their dollar values, then compare them by standard deviation.

By calculating beta in this way, it is possible to find the currencies that are trading with the highest volatility compared to the rest. In this way:

Beta (EURUSD) = StdDev (EURUSD) / StdDev (market average)

Results

Calculating beta in this way, shows how currencies relate to each other in terms of volatility. Those currencies with a high beta are the most volatile and these are the best ones to trade since they offer the best risk/reward.

Of course, beta will not stay constant over time, and currencies with a high beta may not continue to be more volatile than the average in the future.  This means that high beta currencies may not necessarily be the best ones to trade and it could be the case that the lowest betas might be the best. 

Any strategy based on beta will therefore need to be tested to ensure that it works profitably. That is the nature of trading.


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