A tremendous amount of theoretical and empirical research has been devoted to modeling the dynamics of stock returns and applying this knowledge to valuing equity derivatives. The statistical evidence indicates that the returns process exhibits time-varying diffusive volatility and stochastic jumps in returns, and probably in volatility as well. Moreover, the parameters governing this process appear to drift over time. Yet prices for crude oil and other commodities have not been explored nearly as much, although they are volatile, crucially important to the real economy, and have actively traded futures and options. In this article, the authors go a long way toward correcting this lacuna for derivatives based on crude oil. Their approach is at the current frontier for research on equity derivatives, or indeed beyond it since they allow the jump intensity to vary stochastically over time. Their large sample of daily data spans nearly 25 years of crude oil futures and options, including multiple maturities ...

OpenAI’s new flagship model, ChatGPT-4o, released on 13 May 2024, offers enhanced natural language understanding and more coherent responses. This paper investigates ChatGPT-4o’s capabilities in financial data analysis, including zero-shot prompting, time series analysis, risk and return analysis, and ARMA-GARCH estimation. ChatGPT-4o’s performance is generally comparable to traditional statistical software like Stata, though some errors and discrepancies arise due to differences in implementation. Despite these issues, our findings indicate that ChatGPT-4o has significant potential for real-world financial analysis. Integrating ChatGPT-4o into financial research and practice may lead to more efficient data processing, improved analytical capabilities, and better-informed investment decisions.