This lesson provides an in-depth examination of market risk measurement and management. It covers the core concepts of Value at Risk (VaR), historical simulation, variance-covariance approaches, and the limitations of VaR, as taught in leading programs at NYU Stern and other institutions .
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Definition of Market Risk: Market risk is the risk of losses resulting from adverse movements in market prices, including equity prices, interest rates, foreign exchange rates, and commodity prices . Measurement techniques for different types of financial risks (equity, fixed income, currency, commodity) and instruments are core topics .
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Value at Risk (VaR): Value-at-Risk is a key tool for measuring market risk, providing a quantitative estimate of the maximum potential loss over a specified time horizon at a given confidence level . The VaR methodology examines different approaches: historical simulation, variance-covariance, and Monte Carlo simulation .
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Methods for Calculating VaR:
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Historical Method:Â Uses historical returns to simulate potential losses.
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Parametric Method (Variance-Covariance):Â Assumes returns are normally distributed and uses portfolio volatility.
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Monte Carlo Method: Simulates thousands of potential future price paths to estimate loss distribution .
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VaR Advantages and Limitations: Advantages include a single number summary of risk and a common language for risk communication. Limitations include assumptions about normal distributions, underestimation of tail risk, and limited ability to capture extreme events .
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Earnings at Risk (EAR) and Economic Value of Equity (EVE): EAR measures potential impact on earnings due to interest rate changes, while EVE measures the change in the economic value of a bank’s equity due to interest rate movements. These are different measures used in asset-liability management .