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Value at Risk

Risk Management

A statistical method that estimates the maximum potential loss of a portfolio over a specific time period at a given confidence level. A daily VaR of $500 at 95% confidence means there is only a 5% chance of losing more than $500 in a day.

What Is Value at Risk?

Value at Risk (VaR) puts a dollar figure on your worst expected loss under normal market conditions. It uses three inputs: the time period (usually 1 day), the confidence level (usually 95% or 99%), and historical data about returns and Volatility. A portfolio with a 1-day 95% VaR of $1,000 means that on 95 out of 100 days, losses should not exceed $1,000. On those other 5 days, losses could be larger, possibly much larger.

VaR Methods

Three main approaches exist. The parametric (variance-covariance) method assumes returns follow a normal distribution, making it fast but underestimating tail risk. The historical simulation method uses actual past returns without assumptions, capturing non-normal behavior but being limited to what has already happened. Monte Carlo simulation generates thousands of random scenarios based on statistical parameters and is the most flexible but computationally intensive.

Key fact: VaR famously underestimates risk during extreme events. The 2015 Swiss franc de-peg caused moves that exceeded 99.9% VaR estimates by orders of magnitude. Always supplement VaR with stress tests for tail events.

VaR for Retail Traders

While institutions use sophisticated VaR models, retail traders can apply the concept simply. Multiply your total open exposure by the pair's average daily move (using Average True Range) to get a rough daily VaR estimate. If that number exceeds 2-3% of your account, you are likely over-leveraged. This simple check, combined with proper Position Sizing, prevents the kind of concentrated risk that leads to blown accounts.