EWMA Volatility
Calculate EWMA Volatility instantly with the exact formula and a worked example.
EWMA Volatility
λ (decay)
Last r
σ²_(t−1)
σ²_t
0.0001
σ²_t
0,0001
σ_t
0,01
More about: EWMA Volatility
What it calculates
The “EWMA Volatility” calculator computes σ²_t from 3 parameters: λ (decay), last r, σ²_(t−1).
Used by investors to estimate returns, project savings, and analyze a portfolio.
Example calculation
With parameters λ (decay) = 0.94, Last r = 0.01, σ²_(t−1) = 0.0001 the result is 0.0001 (σ²_t = λ·σ²_{t−1} + (1−λ)·r²).
How to use
- Enter λ (decay), last r and σ²_(t−1) — each field above is adjustable with a slider.
- σ²_t is calculated automatically as you type.
- Check the worked example below to see the formula applied to real numbers.
- 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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