Crypto Portfolio Volatility Calculator

Calculate the overall volatility of a crypto portfolio using asset weights, individual volatilities, and correlations. Measure diversification benefits.

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Range: -1 to +1

Sample Portfolios:

Portfolio Volatility (Annual)
69.82%
Standard deviation
Weighted Avg Vol (Annual)
78.00%
Without diversification
Diversification Benefit
8.18%
Risk reduction from correlation
Monthly Volatility
20.15%
≈ 1/√12 of annual
Daily Volatility
3.65%
≈ 1/√365 of annual
Correlation
0.60
Partial relationship

Detailed Portfolio Analysis

MetricValue
Asset 1 Contribution to Variance36.19%
Asset 2 Contribution to Variance26.59%
Covariance Effect37.22%

Volatility Comparison

How your portfolio risk compares

Portfolio 69.82%
Diversification +8.18%

Your diversification benefit is 8.18%. The lower the correlation, the greater the benefit.

Planning notes, formulas, and examples

About the Crypto Portfolio Volatility Calculator

Portfolio volatility measures the expected fluctuation in your portfolio's value. It depends not just on individual asset volatilities but critically on how assets are correlated. Two highly volatile assets can produce a lower-volatility portfolio if they're negatively correlated — this is the essence of diversification.

This calculator computes portfolio volatility (standard deviation) using the mean-variance framework. For a simplified two-asset portfolio, enter each asset's weight, volatility, and the correlation between them. The result shows your portfolio's expected volatility and the diversification benefit — how much risk is reduced compared to a weighted average of individual volatilities.

Understanding portfolio volatility helps you make informed allocation decisions. If adding a new asset reduces portfolio volatility without sacrificing expected return, it improves your risk-adjusted performance.

Use the result to map token-release or fee scenarios and revisit the model when market conditions, unlock terms, or portfolio assumptions change.

When This Page Helps

Individual asset volatility doesn't tell you your total portfolio risk. A portfolio of two 50%-volatile assets might have only 30% volatility if they're poorly correlated. This calculator quantifies the diversification benefit and helps you build portfolios that maximize return per unit of risk.

How to Use the Inputs

  1. Enter the weight of each asset in your portfolio.
  2. Enter the annualized volatility (standard deviation) of each asset.
  3. Enter the correlation between the two assets (-1 to +1).
  4. View the portfolio volatility and diversification benefit.
  5. Adjust weights and assets to minimize portfolio volatility for your target return.
Formula used
Portfolio Variance (2 assets) = w₁²σ₁² + w₂²σ₂² + 2·w₁·w₂·σ₁·σ₂·ρ₁₂ Portfolio Volatility = √(Portfolio Variance) Diversification Benefit = Weighted Avg Vol − Portfolio Vol Weighted Avg Vol = w₁·σ₁ + w₂·σ₂

Example Calculation

Result: Portfolio Volatility: 69.4%

BTC at 60% with 70% volatility and ETH at 40% with 90% volatility, correlation 0.6. Weighted average = 60%×70% + 40%×90% = 78%. Portfolio vol = √(0.36×0.49 + 0.16×0.81 + 2×0.24×0.63×0.6) = 69.4%. Diversification benefit: 78% − 69.4% = 8.6 percentage points of risk reduction.

Tips & Best Practices

  • Lower correlation between assets means greater diversification benefit.
  • Crypto assets tend to be highly correlated (0.5-0.9), limiting diversification benefits.
  • Adding uncorrelated assets (stablecoins, gold-backed tokens) can significantly reduce portfolio volatility.
  • Volatility is not static — recompute regularly using recent data.
  • A portfolio can have lower volatility than any of its individual assets if correlations are low enough.
  • Use portfolio volatility to calculate Value at Risk (VaR) for risk budgeting.

The Role of Correlation in Crypto Portfolios

Correlation is the most important but least understood factor in portfolio construction. In crypto, correlations between major assets (BTC, ETH, SOL) tend to be high (0.6-0.9), meaning a crash in one usually means a crash in all. The only reliable diversifiers are stablecoins and real-world assets tokenized on-chain, which have near-zero correlation with crypto prices.

Volatility During Bull and Bear Markets

Crypto volatility is asymmetric: it tends to spike during downturns and moderate during steady uptrends. This means portfolio risk is highest exactly when you least want it. Building portfolios that account for this asymmetry — through stablecoin allocation or downside protection strategies — can improve outcomes.

From Volatility to Practical Risk Management

Portfolio volatility feeds directly into risk metrics like Value at Risk (VaR) and Sharpe ratio. If your portfolio has 60% annualized volatility, you can expect monthly swings of roughly ±17% (volatility × √(1/12)). Knowing this helps you set realistic expectations and avoid panic during normal drawdowns.

Sources & Methodology

Last updated:

Frequently Asked Questions

  • Bitcoin's annualized volatility typically ranges from 50% to 80%, depending on the market cycle. During bull runs it can exceed 100%, while in quiet periods it may drop to 40-50%. For comparison, the S&P 500 has roughly 15-20% annualized volatility.