Pair Trading Z-Score

Calculate Pair Trading Z-Score instantly with the exact formula and a worked example.

Pair Trading Z-Score

Current spread
Spread mean μ
Spread SD σ
Z-score
1.5
Z = (spread − μ) / σCalculate Pair Trading Z-Score instantly with the exact formula and a worked example.
Spread
1,5
Z
1,5
Signal
Hold

More about: Pair Trading Z-Score

What it calculates

The “Pair Trading Z-Score” calculator computes Z-score from 3 parameters: current spread, spread mean μ, spread sd σ.

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

Example calculation

With parameters Current spread = 1.5, Spread mean μ = 0, Spread SD σ = 1 the result is 1.5 (Z = (spread − μ) / σ).

How to use

  1. Enter current spread, spread mean μ and spread sd σ — each field above is adjustable with a slider.
  2. Z-score 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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