Delta Hedging Under Fractional Brownian Motion

The Black–Scholes–Merton (BSM) model is the most frequently used option pricing framework in finance. However, it relies on simplifying assumptions, some of which are not realistic. Ongoing efforts aim to extend and generalize the BSM model, and Reference represents a recent contribution in this direction. The paper proposes an …

Multifractality and Market Efficiency Across Asset Classes

The Fractal Market Hypothesis (FMH) is increasingly studied and applied by both finance academics and practitioners. We previously discussed the use of Detrended Fluctuation Analysis to estimate the Hurst exponent for major cryptocurrencies. Continuing this line of research, Reference applies Multifractal Detrended Fluctuation Analysis (MFDFA) to examine cryptocurrency, commodity, …

Incorporating Momentum into Option Pricing Models

The Black–Scholes–Merton (BSM) model is a cornerstone of derivative pricing; however, it is not without limitations, and researchers continue to extend it. Reference proposes an extension by incorporating intraday momentum into the BSM framework. This is achieved by introducing a drift term that represents intraday momentum, measured using a …

Quantifying Recency Bias in Investor Volatility Expectations

Investors and traders often suffer from behavioral biases, which is where behavioral finance originates. Among these biases, recency bias is probably the most detrimental, yet it has infrequently been studied in a comprehensive, quantitative manner. Reference addresses this gap by investigating recency bias in stocks with high idiosyncratic volatility …

Toward Rigorous Validation of Data-Driven Trading Strategies

With the rapid advancement in computing power, quantitative researchers can now develop trading strategies quickly, employing multiple variables and methodologies. These approaches extend beyond traditional time-series and statistical models to include machine learning and AI-based techniques. However, such models often deliver impressive in-sample results but fail in live trading, largely …

Intraday Elasticity Between VIX Futures and Volatility ETPs

VIX futures and Exchange-Traded Products (ETP) are widely used instruments for both volatility speculation and hedging, making a clear understanding of their behavior essential for these purposes. Several studies have examined the relationship between spot VIX, VIX futures, and volatility-linked ETPs. Reference contributes to this literature by analyzing the …