What is Logarithmic Price Scale?

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A logarithmic price scale, also referred to as a "log scale", is a type of scale used on a chart that is plotted such that two equivalent price changes are represented by the same vertical distance on the scale.

Definition

A logarithmic price scale is a type of scale used on charts where equal percentage changes in price are represented by equal vertical distances. This scale is commonly used in financial charts to better compare changes at different price levels.

Origin

The concept of a logarithmic price scale originates from the logarithmic function in mathematics, first applied in the financial sector in the early 20th century. As stock markets evolved, investors found that logarithmic scales could more intuitively display percentage changes in prices.

Categories and Features

Logarithmic price scales are primarily used in stock and index charts. Their main feature is the ability to display equal percentage price changes as equal distances, allowing for comparison of movements at both high and low price levels. The advantage is a better reflection of long-term trends, while the disadvantage is less sensitivity to small price changes.

Case Studies

A typical example is the long-term chart of the Dow Jones Industrial Average. Using a logarithmic scale allows for a clearer view of the growth rate over different historical periods. Another example is the stock price chart of Apple Inc., where a logarithmic scale helps better analyze its long-term growth trends.

Common Issues

Investors often misunderstand logarithmic scales, thinking they are less intuitive than linear scales. In reality, logarithmic scales are more suitable for analyzing long-term trends and percentage changes. Additionally, beginners might overlook the advantage of logarithmic scales in comparing high and low price levels.

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