Fourier Analysis is a mathematical method of identifying and describing harmonic patterns in complex oscillating environments, and is used in options pricing among other things. Fourier Analysis is used to compute the probability that results will be within a certain range. Fourier analysis also has many other applications in physics, engineering, and music, for instance, because it can create a system for identifying patterns and simplifying computations for complex systems which feature oscillations and waves which have frequencies. Continue reading...
The attempt to represent events and phenomena mathematically and to thereby make reality more understandable is called quantitative analysis. To quantify something from the real world, an analyst will translate the factors and variables present in a real event into a coding system which will allow it to be represented in mathematical or computational symbology. The quantitative analysis that follows will attempt to create formulas and test them for external validity and replicability. Continue reading...
Chartists are technical traders, theorists, and experts in charting, with the goal of better representing data and using charts to the greatest effect in trading. They attempt to find parameters and algorithms that can offer efficient trading signals and profits, using only the information present on charts – a type of technical analysis. Technical analysis is a discipline that involves identifying price ranges, trend momentum, and points of possible reversals via graphical representations of the math behind price movements, examining information to the second or third derivative, and using trial-and-error with formulas. Geometry, calculus, physics, and finance all play a part in this methodology. Continue reading...
Technical Indicators are charting tools that appear as lines on charts, or as other kinds of graphical information, which serve as guidelines for buying and selling opportunities. They are based on mathematical formulas, and may be called oscillators, trading bands, and signal lines, among other things. Technical analysts use information about price, volume, standard deviation, and other metrics to construct systems for trading using mathematical formulas which can be translated into useful charting tools. The systems can bring discipline to a trader’s strategy by providing clearly defined circumstances in which a trader has reason to buy, sell, hold, and so on. Continue reading...
The Elliot Wave theory essentially uncovers larger trends and investor sentiment by smoothing and “zooming out” from market price action. Elliot Waves zoom out on market price action by using larger-interval moving average and smoothing out price information to reveal larger trends. He was one of the first to attempt such a theory, and his foundations may have contributed to the use of Fourier Analysis and Fibonacci Sequences in market analysis. Continue reading...
Trend analysis is an attempt to explain market movements as general directional tendencies of various strength over various time frames. Trend analysis also works to predict future movements based on the probability of a trend continuing. The use of moving averages with support and resistance levels is the most commonly used methodology in trend analysis, and several trading strategies employ these tools in various ways. Trade volume, spreads, news, crossover points, and other market factors are also considered in the discipline. Continue reading...
The analysis of convergence and divergence between indexes and other data seeks to find leading indicators where there is confirmation or non-confirmation of trends. Dow Theory was one of the first examples of such thinking. Charles Dow would watch the movements of Industrials and the Rail and compare the uptrend or downtrend of each. Where trends do not line up (e.g., one is trending downward with lower troughs and the other has “higher lows”) there is “divergence”, and non-confirmation of what was thought to be a trend in one index. Continue reading...
Investment analysis is the practice of evaluating assets or securities in terms of value, risk and return, as well as correlation with other assets. It is to determine their possible place within various strategies and portfolios. Some analysis will be done seeking the best option for specific asset classes, some analysis will focus on the best overall portfolio for a given situation. Analysis is done using quantitative metrics and indicators, some of which can be considered fundamental analysis tools and some of which are technical analysis tools. Continue reading...
Technical analysis is a method of evaluating the worth and probable future direction of security prices using charts and data concerning prices and volume. This is the counterpart to fundamental analysis, which looks at the physical operations of a company and their place in the market to determine value. Those who practice technical analysis are sometimes called “quants” or chartists because they believe that the most important information about a security will be found in the data on the price, volume, and the moving averages and volatility associated with them. Continue reading...
What does it mean to technically analyze a stock or other security? Technical analysis involves identifying price ranges, trend momentum, and points of possible reversals via graphical representations of the math behind price movements, examining information to the second or third derivative, and using trial-and-error with formulas. Geometry, calculus, physics, and finance all play a part in this methodology. Continue reading...
Securities in the market can be analyzed on technical levels or fundamental ones, and it is generally best to take both into account, despite the fact that some theories dispute the merits of technical analysis. Some might say that fundamental analysis is all that you need to make wise investment decisions, and to some extent that is actually correct: at a minimal level, if all you had were fundamentals, you could make wise investment decisions. That does not mean, however, that all technical analysis is superfluous. Continue reading...
Fundamental analysis has been around for a long time, and will probably always remain relevant. Fundamental Analysis is the oldest and most well-established market theory. Fundamental analysis is to take all the real-world information about a company into account when evaluating securities and to acknowledge that the shares are what they are: partial ownership in a company. It follows that someone should know about the company and its earnings potential. Continue reading...
Fibonacci lines, retracements, and extensions are used by chartists to identify possible future support and resistance levels, as well as areas where there may be reversals. Investors can use this information to put hedges or speculative bets in place, if they believe that, like many naturally occurring systems in nature, the market behavior will exhibit some fractal-like forms that can be measured with Fibonacci sequence numbers and the Golden Ratio. Continue reading...
Price movement often occurs in a range-bound way, even when an uptrend or downtrend is in effect. Fibonacci channels estimate support and resistance numbers using Fibonacci numbers, which are found throughout the natural world, in order to define possible places where reversals will occur. Fibonacci numbers are related to the study of chaos theory, which seeks to find order in complex systems. Since the markets have so many variables, but no lack of data, they are an excellent place to search for Fibonacci patterns. Continue reading...
Chart patterns are shapes that sometimes appear in the charts of securities prices. Some of them may prove useful to you. Some frequently discussed chart patterns include Head and Shoulders, Double/Triple Bottom/Top, Cups and Saucers, Flags and Pennants, and others. Generally, it can be useful to compare and connect the troughs to each other and the peaks to each other to see if there is a trend confirmation if the breadth is narrowing, or if a reversal might be imminent. Continue reading...
In the finance world, data is king. Learn how statistics shapes investment decisions, risk assessment, and financial strategies. Dive into descriptive & inferential stats, real-world applications, and its pivotal role in achieving financial success. Don't miss out! #FinanceStats Continue reading...
Return on Equity refers to the return on shareholder’s equity, which is like looking at the compounding effects of profits. Shareholder’s equity, in the standard accounting equation, is the amount of assets and retained earnings in a company over and above the company’s liabilities. Return on Equity is a ratio which divides the net income of a company by the total shareholder’s equity in a company, which is effectively looking at the profitability of the profits of a company. Continue reading...
Dive deep into the world of means in mathematics and statistics. This comprehensive guide unravels the intricacies of the "mean," a pivotal measure of central tendency. From its basic definition to its various types like arithmetic, geometric, and harmonic, learn how the mean serves as a foundational tool in diverse fields such as finance, economics, and manufacturing. Understand its significance in data analysis, its real-life applications, and how it stands alongside other measures like median and mode. Whether you're a student, a financial analyst, or just curious, this guide offers a clear perspective on the indispensable role of the mean. Continue reading...
The Accumulation/Distribution Indicator (originally called the Cumulative Money Flow Line) tracks cash flow into or out of a security and correlates the cash flow changes to changes in the security price. By following the trading volume into or out of a security, it establishes the degree of correlation between this trading volume and the price of the security. Accumulation/distribution is designed to reveal divergences in price trends (specifically between stock price and trading volume). These divergences indicate the degree to which a security may be overbought or oversold at a given time. Continue reading...
Stock prices change based on the law of supply and demand. Ultimately, as with the price of any good or service, the outstanding supply and consumer demand will define its value in the marketplace. Indeed, the efficient market hypothesis states that the price of a LINK will already reflect all known information about it and what investors are willing to pay for it at the time, based on that information. Continue reading...