This time we will discuss a wide range of basic tools related to mathematical analysis.

” In the context of forex trading, mathematical analysis involves a variety of methods and techniques in a trader’s arsenal aimed at forecasting future price movements in the financial market. “

Most of these methods imply the use of various technical indicators. In other words, this type of analysis is called mathematical because every single technical indicator is based upon strict mathematical calculations.

Today, there is an enormous variety of graphical indicators allowing a trader to predict the direction and strength of market trends. The most common and frequently used mathematical indicators include moving averages and stochastic oscillators.

” For a comprehensive study of mathematical analysis as applied to the forex market, one should consider both sides of the subject. “

On the one side, mathematical analysis on Forex contains many elements of technical analysis referred to as so-called expert advisors (i.e. automated software used in a trading platform). This is why mathematical analysis forms the cornerstone of numerous trading strategies, being an indispensable part of expert advisors. For example, such well-known strategies as the Martingale betting system, the Puria method, the identification of supply and demand zones in the market are all based on the laws of mathematics.

On the other side, computer data processing is considered to be another important aspect of mathematical analysis. Computing technologies along with the probability theory and statistical data provide the basis for developing cutting-edge trading solutions that have become widespread in the financial world over the recent years. Among computer-based technical indicators are moving averages, Bollinger Bands, stochastic oscillators etc.

” Generally speaking, market analysis based on such an exact science as mathematics is an integral component of rational capital management and efficient risk control. “

Before we take a closer look at trading indicators, let us introduce the notion of divergence. The divergence is rightfully considered to be the strongest signal in technical analysis. It occurs when the actual price movement and a technical indicator are heading in opposite directions.

A bearish divergence takes place when prices are on the rise, approaching a new high, but the indicator stops at a lower level. Bearish divergences between prices and indicators point to some weakness at the top of the market and signal a higher probability of an upcoming trend reversal.

Bearish divergence

Conversely, if prices are moving towards a new low while the indicator ticks higher, we observe a bullish divergence on the chart.

A bullish divergence between the price and a technical indicator is a clear sign indicating weakness in the trend and a potential shift to the upside.

Bullish divergence

All technical indicators can be roughly divided into two large groups: trend-following indicators and stochastic oscillators.

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