VaR Calculator
Calculate Value at Risk (VaR) for an investment portfolio using the variance-covariance parametric method. Estimate maximum potential loss with confidence level, standard deviation, and time horizon.
About This Calculator
The Value at Risk (VaR) Calculator helps investors, portfolio managers, and financial analysts quantify the maximum potential loss an investment portfolio could face over a specific time period at a given confidence level. VaR is a cornerstone of modern financial risk management, used by banks, hedge funds, asset management firms, and individual investors worldwide to measure and control downside risk exposure.
This calculator uses the parametric variance-covariance method (RiskMetrics approach developed by J.P. Morgan), one of the simplest and most widely used VaR estimation techniques. The formula is: VaR = [Expected Return - (Z-Score × √Time Horizon × Standard Deviation)] × Portfolio Value. The Z-Score depends on your chosen confidence level — 1.645 for 95%, 2.326 for 99%, and 2.576 for 99.5% — corresponding to the number of standard deviations from the mean.
Understanding your portfolio VaR helps with asset allocation decisions, setting stop-loss limits, determining appropriate hedge ratios, and complying with regulatory capital requirements. The calculator also displays VaR across all three standard confidence levels simultaneously, so you can see how risk estimates change with different confidence thresholds.
Regional Notes
India: SEBI mandates VaR-based margin calculations for equity derivatives and commodity futures. RBI requires banks to maintain market risk capital based on 99% VaR with a 10-day holding period as per BASEL III norms. Portfolio managers registered with SEBI use VaR for daily risk monitoring and reporting to trustees.
US: The SEC uses VaR in the broker-dealer net capital rule (Rule 15c3-1), and the Federal Reserve requires bank holding companies to report VaR under the Comprehensive Capital Analysis and Review (CCAR). The 99% confidence level with a 10-day holding period is standard for regulatory capital calculations.
UK: The FCA and PRA require VaR-based capital calculations under the Capital Requirements Regulation (CRR) and BASEL III implementation. UK investment firms must report daily VaR at the 99% confidence level with historical observation periods of at least one year for market risk exposure.
Frequently Asked Questions
What is Value at Risk (VaR)?
Value at Risk (VaR) is a statistical measure that quantifies the maximum potential loss an investment portfolio could suffer over a specified time period at a given confidence level under normal market conditions. For example, a 95% daily VaR of ₹50,000 means there is a 95% chance the portfolio will not lose more than ₹50,000 in a single day.
How is VaR calculated using the parametric method?
The parametric (variance-covariance) VaR formula is: VaR = [Expected Return - (Z-Score × √Time × Standard Deviation)] × Portfolio Value. The Z-Score depends on the confidence level: 1.645 for 95%, 2.326 for 99%, and 2.576 for 99.5%. This method assumes returns follow a normal distribution and is the simplest VaR calculation approach.
What confidence level should I use for VaR?
The common confidence levels are 95% (Z-Score 1.645) for standard risk monitoring, 99% (Z-Score 2.326) for stricter risk assessment, and 99.5% (Z-Score 2.576) which is the regulatory standard used by BASEL III for market risk capital requirements. Higher confidence levels produce higher VaR estimates.
What are the limitations of VaR?
VaR has several limitations: it does not estimate losses beyond the calculated threshold (tail risk), assumes normal distribution of returns which may not hold for all assets, and can oversimplify complex risk profiles. It also may underestimate risk during market crises when correlations increase. Financial professionals complement VaR with stress testing and conditional VaR (CVaR).
How does time horizon affect VaR calculation?
VaR increases with the square root of the time horizon. A 10-day VaR is approximately √10 ≈ 3.16 times larger than a 1-day VaR, assuming constant volatility. This square-root-of-time scaling means longer holding periods face exponentially higher potential losses, making it crucial to use appropriate time horizons for different asset classes.
Is VaR used by regulators in India, US, and UK?
Yes, VaR is a key regulatory metric globally. In India, SEBI and RBI mandate VaR-based margin requirements for derivatives and forex. In the US, the SEC and Federal Reserve use VaR for broker-dealer net capital rules. In the UK, the FCA and PRA require VaR under BASEL III and CRD IV frameworks for market risk capital adequacy calculations.
How can I reduce my portfolio VaR?
You can reduce portfolio VaR by diversifying across uncorrelated asset classes (equities, bonds, gold, real estate), hedging with options or futures, reducing leverage, increasing cash allocation, and investing in lower-volatility assets like government bonds. Regular portfolio rebalancing also helps maintain target risk levels.
What is the difference between VaR and CVaR?
Conditional VaR (CVaR), also called Expected Shortfall, measures the average loss beyond the VaR threshold. While VaR tells you the minimum loss in the worst 5% of cases, CVaR tells you the average loss in that worst 5%. CVaR provides a more complete picture of tail risk and is preferred by many risk managers.