Author: Harbourfront Technologies

A Recent Review of Pairs Trading and Statistical Arbitrage

Pairs trading, or statistical arbitrage, is one of the oldest quantitative trading strategies, and it is still employed today. Over the years, it has expanded from classical distance methods to more sophisticated approaches, and practitioners have increasingly questioned its profitability. Reference provides a thorough review of the pairs trading …

Fair Volatility: A Multifractional Model for Realized Volatility

Volatility is an important measure of market uncertainty and risk. For decades, realized volatility has been computed from the squared returns. Recent research, however, has highlighted several deficiencies in traditional volatility measures. Reference continues this line of inquiry, identifying three key inefficiencies in conventional volatility estimation, Volatility is path-independent …

Volatility, Skewness, and Kurtosis in Bitcoin Returns: An Empirical Analysis

As cryptocurrencies become mainstream, researchers have begun examining their statistical properties, particularly volatility, which represents the second moment of the return distribution. However, limited attention has been given to higher-order moments, specifically skewness and kurtosis. Given that cryptocurrencies are highly volatile and exhibit heavy-tail risks, their return distributions are not …

Probabilistic AI in Finance: A Comprehensive Literature Review

Probabilistic AI is a branch of artificial intelligence that models uncertainty explicitly, allowing systems to reason and make predictions even when data is incomplete or noisy. Instead of producing single-point estimates, it generates probability distributions over possible outcomes, capturing both what is known and how confident the model is. Reference …

Expiration Effects and Return Anomalies in Option Markets

A growing body of research has recently investigated anomalies in option returns, such as option return momentum, and these anomalies are often attributed to market inefficiencies. Reference , however, proposed and tested a different hypothesis: these anomalies originate from option returns around expiration days. Specifically, the author isolated the return …