Value at Risk (VaR) Calculator
Estimate portfolio downside risk with parametric VaR and expected shortfall (CVaR) across confidence levels.
Parametric VaR assumes normally distributed returns and stable volatility. Stress scenarios can exceed these estimates.
How to use Value at Risk (VaR) Calculator
The Value at Risk (VaR) Calculator estimates the maximum expected loss over a specific time period at a given confidence level. For example, a 1-day 95% VaR of $5,000 means there is a 95% probability that your portfolio will not lose more than $5,000 in a single day. The remaining 5% of the time, losses could exceed this threshold — VaR does not tell you how bad things can get in that tail.
This calculator supports parametric (variance-covariance) VaR, which assumes returns are normally distributed. In crypto, returns are fat-tailed and often non-normal, so VaR tends to underestimate extreme loss scenarios. Use it as a floor estimate, not a ceiling, and complement it with the Drawdown Calculator and Risk of Ruin Calculator for a complete risk assessment.
Input guide and assumptions
Portfolio value is your total position size in USD. Expected return and volatility (standard deviation) should be based on historical data for the same asset over a representative period. The confidence level — typically 95% or 99% — determines how extreme the loss scenario you are modeling.
Holding period defines the time horizon: 1-day VaR for active traders, 10-day for swing traders, 30-day for position holders. Longer periods amplify VaR proportionally to the square root of time. For multi-asset portfolios, the calculator accounts for individual asset volatilities.
How to interpret results correctly
Value at Risk (VaR) estimates the maximum expected loss over a given time horizon at a specified confidence level. A daily VaR of $5,000 at 95% confidence means there is only a 5% chance your portfolio loses more than $5,000 in a single day. For a $100,000 crypto portfolio, a 95% daily VaR of 5% ($5,000) is typical during moderate volatility; during high-stress periods, this can spike to 10–15%. Compare your VaR to the <a href="/drawdown-calculator/">drawdown calculator</a> output to understand how daily losses compound into multi-week drawdowns.
VaR does not tell you the worst-case scenario — it tells you the boundary that losses will stay within 95% (or 99%) of the time. The remaining 5% (or 1%) of outcomes — the tail risk — can be dramatically worse. A $5,000 daily VaR does not mean your worst day is $5,000; it could be $15,000 or more. For crypto portfolios, always supplement VaR with Conditional VaR (CVaR), which estimates the average loss in the tail. Use the <a href="/risk-reward-calculator/">risk-reward calculator</a> to evaluate whether your expected return justifies the VaR-measured risk.
Practical scenarios and planning workflow
Portfolio risk assessment: a trader holds $80,000 in BTC and $20,000 in ETH. Historical daily volatility is 3.2% for BTC and 4.1% for ETH with 0.75 correlation. The parametric VaR at 95% confidence is approximately $4,800 daily. This means on 19 out of 20 trading days, the portfolio should not lose more than $4,800. If the trader's risk tolerance is $3,000 per day, the portfolio is oversized and needs rebalancing or hedging.
Risk budgeting: a DeFi fund allocates risk capital across three strategies — yield farming, momentum trading, and arbitrage. The fund sets a total daily VaR budget of $25,000 at 99% confidence. Each strategy calculates its standalone VaR: yield farming $8,000, momentum $15,000, arbitrage $5,000. Total standalone VaR of $28,000 exceeds the budget, but diversification benefit (due to imperfect correlation) reduces combined VaR to $22,000 — within budget.
Risk and execution checklist
- Before calculating VaR: 1) Choose your confidence level — 95% is standard for daily monitoring, 99% for stress testing. 2) Select your time horizon — 1 day for trading, 10 days for regulatory, 30 days for portfolio reviews. 3) Gather at least 250 daily returns (1 year) for historical VaR, or calculate portfolio volatility for parametric VaR. 4) Account for all positions including DeFi protocol exposures.
- After calculating: 1) Compare VaR to your maximum acceptable daily loss — if VaR exceeds your tolerance, reduce position sizes. 2) Check VaR as a percentage of portfolio — 2–5% daily VaR is typical for crypto; above 8% suggests dangerous concentration. 3) Supplement with CVaR to understand tail risk. 4) Recalculate weekly during volatile markets, monthly during calm periods.
Common mistakes to avoid
- The most critical VaR mistake in crypto is using a normal distribution assumption. Crypto returns have fat tails — extreme moves occur 3–5x more frequently than a normal distribution predicts. A parametric VaR using normal assumptions will understate true risk by 30–50% during tail events. Use historical VaR or Monte Carlo simulation with fat-tailed distributions (Student-t with 4–5 degrees of freedom) for more accurate results.
- Another common error is calculating VaR on a single asset when your portfolio has multiple correlated positions. If you hold BTC, ETH, and SOL — all highly correlated — individual VaR calculations will dramatically understate your true portfolio risk. You must use a correlation matrix to compute portfolio VaR. During market crashes, correlations spike toward 1.0, meaning diversification benefits collapse exactly when you need them most.
Performance benchmarks and expectation ranges
Daily VaR benchmarks by asset class at 95% confidence: Bitcoin-only portfolio 3–5% ($3,000–$5,000 per $100K), diversified large-cap crypto 2.5–4%, DeFi yield positions 1.5–3% (lower because less directional), leveraged futures portfolio 8–15%. Weekly VaR is approximately daily VaR x sqrt(5) — so a 4% daily VaR translates to roughly 9% weekly VaR. Monthly VaR is approximately daily x sqrt(21), around 18%.
VaR ratio benchmarks: compare your portfolio's VaR to its expected return. A return-to-VaR ratio below 0.5 (annualized expected return / annualized VaR) suggests you are taking too much risk for the return generated. Crypto hedge funds typically target return-to-VaR ratios of 1.0–2.0. A BTC buy-and-hold strategy historically shows return-to-VaR around 0.8–1.2 depending on the measurement period.
Execution templates you can reuse
Daily risk monitoring workflow: each morning, compute portfolio VaR using the previous day's closing prices and updated volatility estimates. Compare to your risk limit. If VaR exceeds your limit by more than 10%, take immediate action: reduce the largest contributing positions, add hedges, or decrease leverage. Log the VaR alongside your P&L in a daily risk report. Use the <a href="/position-size-calculator/">position size calculator</a> to rescale positions that are driving VaR above budget.
Stress testing with VaR: calculate VaR under three scenarios — (1) normal market using recent 30-day volatility, (2) elevated stress using 90th-percentile historical volatility, (3) extreme crisis using March 2020 or May 2021 crash volatility. If your crisis VaR exceeds 25% of portfolio value, you are vulnerable to wipeout-level losses. Set position sizes so that even crisis-VaR stays below 15–20% of equity.
Data hygiene and model maintenance
Recalculate volatility inputs weekly during normal markets and daily during high-volatility regimes. Crypto volatility can double in 48 hours — using last month's volatility during a crash will dramatically understate current VaR. Consider exponentially weighted moving average (EWMA) volatility with a decay factor of 0.94 to give more weight to recent observations.
Backtest your VaR model quarterly: count the number of days your actual losses exceeded VaR predictions. At 95% confidence, you should see breaches approximately 5% of the time (roughly 12–13 days per year). If breaches occur significantly more often, your model underestimates risk and needs recalibration. If fewer breaches occur, the model may be overly conservative — costing you opportunity.
Final validation before capital deployment
Validate VaR by comparing parametric, historical, and Monte Carlo methods. All three should produce results within 20% of each other for well-behaved portfolios. If they diverge significantly, investigate why: fat tails favor historical over parametric, while concentrated portfolios may show Monte Carlo as most accurate. Document which method you use and why.
Sanity-check VaR against recent actual losses. If your 95% daily VaR is $5,000, your worst day in the last month should be near or slightly above this level. If your worst recent day was $12,000 — more than double your VaR — your model is failing and needs immediate recalibration. VaR is only useful if it accurately reflects the risk you are actually taking.
Frequently asked questions
What does 95% Value at Risk (VaR) mean for my crypto portfolio?
A 95% daily VaR of $5,000 means there is a 5% chance (1 in 20 trading days) that your portfolio will lose more than $5,000 in a single day. It does not tell you how much worse the loss could be beyond that threshold — that is what CVaR (Expected Shortfall) measures.
Is VaR reliable for cryptocurrency portfolios?
VaR has known limitations for crypto because it assumes normally distributed returns, while crypto returns have fat tails and extreme events occur more often than the model predicts. Always supplement VaR with CVaR (Expected Shortfall) and stress testing for a more complete risk picture.
What confidence level should I use — 95% or 99%?
95% VaR is standard for daily risk monitoring and gives a practical sense of regular worst-case scenarios. 99% VaR is used for stress testing and regulatory purposes. In crypto, the 99% level is more informative because tail events happen frequently and 95% VaR may understate real risk.
How do I calculate daily VaR for Bitcoin?
Enter your Bitcoin portfolio value, the expected daily return (often close to 0% for short periods), and the daily volatility (Bitcoin typically ranges from 2-5% daily standard deviation). The calculator applies the parametric VaR formula using the normal distribution z-score for your chosen confidence level.
What is the difference between VaR and CVaR (Expected Shortfall)?
VaR tells you the maximum loss at a given confidence level, but nothing about losses beyond that point. CVaR (Conditional VaR or Expected Shortfall) calculates the average loss in the worst scenarios beyond the VaR threshold, giving you a better estimate of tail risk in extreme market crashes.
How often should I recalculate VaR for my crypto positions?
Recalculate VaR daily or at minimum weekly, since crypto volatility changes rapidly. After major market events, update your volatility inputs immediately. Using a rolling 30-60 day window for volatility estimation keeps the model responsive to current market conditions.