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VAR vs CVAR

Anatoly Kazimirov's avatar
Anatoly Kazimirov
Sep 15, 2024
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A Comprehensive Guide to Value-at-Risk and Conditional Value-at-Risk

In the realm of finance, managing risk is crucial for the success of any investment strategy. Two prominent metrics used to quantify risk are Value-at-Risk (VaR) and Conditional Value-at-Risk (CVaR). This article will delve into both concepts, highlighting their definitions, applications, and the advantages of CVaR over VaR.

Understanding Value-at-Risk (VaR)

Value-at-Risk is a statistical measure that estimates the potential loss in value of a portfolio over a specified time frame at a given confidence level. For instance, if a portfolio has a VaR of $10,000 at a 95% confidence level over ten days, it indicates that there is a 5% chance the portfolio could lose more than $10,000 in that period. However, VaR is often misunderstood. It does not represent the worst-case scenario; instead, it serves as a threshold for expected losses. This is the point where i would warn that the VaR number generated by the formula is merely a starting point, but of course, the loss can be much higher than what VaR suggests.

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