๐Ÿงฐ UtlKit

Value at Risk (VaR) Calculator

Estimate the maximum portfolio loss at a given confidence level.

e.g., 0.03 for 0.03%

Frequently Asked Questions

What is Value at Risk?

VaR estimates the maximum loss your portfolio could suffer over a given time period at a specified confidence level. For example, a 95% 1-day VaR of $10,000 means there is a 5% chance of losing more than $10,000 in one day.

What is Expected Shortfall?

Expected Shortfall (CVaR) is the average loss given that the loss exceeds the VaR threshold. It provides a more conservative risk measure than VaR alone.

How is VaR calculated?

We use the parametric method: VaR = Portfolio ร— (Z ร— ฯƒ - ฮผ), where Z is the confidence Z-score, ฯƒ is volatility, and ฮผ is the expected return.

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๐Ÿ“Š Data Summary (auto-filled)

Tool: Value at Risk (VaR) Calculator ยท /tools/value-at-risk/

confidenceLevel: 95

timeHorizon: 1

What is this tool?

Value at Risk (VaR) measures the maximum expected loss of a portfolio over a specific time period at a given confidence level. A 1-day 95% VaR of 10000 means there is a 5% chance of losing more than 10000 in one day. Parametric VaR assumes normal distribution.

How to use

  1. 1

    Enter portfolio value

    Input your total portfolio value.

  2. 2

    Set return and volatility

    Enter daily return and daily volatility percentages.

  3. 3

    Choose confidence level

    Select 95%, 99%, or 99.5% confidence.

  4. 4

    Set time horizon

    Enter the risk horizon in trading days.

  5. 5

    View VaR results

    See VaR amount, Expected Shortfall, and comparison table.

Frequently Asked Questions

What is Value at Risk?

VaR estimates the maximum loss your portfolio could face over a given period at a certain confidence level.

What is Expected Shortfall?

Expected Shortfall (CVaR) is the average loss given that the loss exceeds VaR, providing a more conservative risk measure.

Parametric vs Historical VaR?

Parametric VaR assumes normal distribution and is faster but may underestimate tail risk. Historical VaR uses actual returns without distributional assumptions.