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Category: Options, Futures & Other Derivatives, – John C. Hull

Derivatives

The Dynamics of Diversification

Standard diversification models have a fundamental weakness: during periods of large market fluctuations and crises, historical relationships stop working. This happens because correlations between assets tend to increase, […]

April 24, 2026
Derivatives

Using GARCH to Forecast Volatility

🎯 GARCH is not just a descriptive model β€” its purpose is to forecast the volatility of future returns on invested capital. In previous posts, we: Now we […]

April 10, 2026
Derivatives

Validation of Volatility Clustering

Models of return volatility such as EWMA and GARCH aim to explain volatility clustering. In real markets, calm periods tend to be followed by calm periods, while turbulent […]

March 28, 2026
Derivatives

Maximum Likelihood Method

The maximum likelihood method is used in modeling to estimate the parameters that make historical events most probable. Suppose an event has occurred. If we assume that this […]

March 22, 2026
Derivatives

GARCH Model

GARCH (1,1) and Volatility Clustering Financial markets exhibit an important property: volatility clustering and reversion toward a long-run average. In other words, large movements tend to be followed […]

March 15, 2026
Derivatives

EWMA vs Moving Average Volatility

Volatility is such an overused term that we may forget how important the assumptions are that lead to the final number. Let us start with the basics. When […]

March 9, 2026
Derivatives

VaR – Advanced Issues

In previous posts, I covered the calculation of portfolio Value at Risk (VaR) and Expected Shortfall using the historical simulation and linear modeling methods. Now, in order to […]

February 28, 2026