Hurst Exponent

Calculate Hurst Exponent instantly with the exact formula and a worked example.

Hurst Exponent

log(R/S)
log(n)
Hurst H
0.5
H = log(R/S) / log(n)Calculate Hurst Exponent instantly with the exact formula and a worked example.
H
0,5
Mode
random walk

More about: Hurst Exponent

What it calculates

The “Hurst Exponent” calculator computes Hurst H from 2 parameters: log(r/s), log(n).

Used by investors to estimate returns, project savings, and analyze a portfolio.

Example calculation

With parameters log(R/S) = 1, log(n) = 2 the result is 0.5 (H = log(R/S) / log(n)).

How to use

  1. Enter log(r/s) and log(n) — each field above is adjustable with a slider.
  2. Hurst H is calculated automatically as you type.
  3. Check the worked example below to see the formula applied to real numbers.
  4. Copy the result or bookmark this calculator.

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FAQ

What is compound interest?
Compound interest means you earn returns not only on your original principal but also on previously earned interest. Formula: A = P · (1 + r/n)^(n·t). Over long periods this produces exponential growth.
How much do regular contributions matter?
A lot. Adding a fixed amount every month and reinvesting earnings dramatically increases the final value, especially over 20–30 years, because each contribution compounds for the remaining term.
What is the Rule of 72?
A quick estimate for doubling time: years ≈ 72 / annual return %. At 8% your money doubles in about 9 years; at 12%, in about 6 years.
What return rate should I assume?
Historically the S&P 500 has returned about 10% per year before inflation (around 7% after). Use a conservative figure for planning and remember that past performance does not guarantee future results.

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