Log Retorno

ln(xₜ/xₜ₋₁).
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

log R
0,0953

Formula

log retorno

About this calculator

The Log Return calculator is a useful tool for analyzing volatility and growth of a time series. It calculates the logarithm of return, which is an important measure in statistics and finance.

The logarithm of return is calculated using the formula ln(xₜ/xₜ₋₁), where xₜ is the current value and xₜ₋₁ is the previous value. This provides a measure of the percentage change between the two values.

The Log Return calculator is especially useful in cases where you want to analyze the volatility of a time series, such as market predictions or trend analysis.

In addition, the calculator helps identify patterns and trends in time series, which is essential in many fields, including finance, economics and social sciences.

Frequently asked questions

What is the logarithm of return?

The logarithm of return is a measure that provides the percentage change between two consecutive values in a time series. It is calculated using the formula ln(xₜ/xₜ₋₁).

When to use the Log Return calculator?

The Log Return calculator is useful in cases where you want to analyze the volatility of a time series, such as market predictions or trend analysis.

What do the calculator results mean?

The calculator results provide a measure of the percentage change between the consecutive values in a time series. This can be used to identify patterns and trends.

How does the calculator work?

The calculator uses the formula ln(xₜ/xₜ₋₁) to calculate the logarithm of return. Simply insert the values of xₜ and xₜ₋₁ and the calculator will do the calculation.

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