Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Joint Pricing in SPX and VIX Derivative Markets with Composite Change of Time Models

The Chicago Board Options Exchange Volatility Index (VIX) is calculated from SPX options and derivatives of VIX are also traded in market, which leads to the so-called ``consistent modeling" problem. This paper proposes a time-changed Lévy model for log price with a composite change of time structur

Holy Grail Math 8.5 Rigor 6.5 ·  April 25, 2024

Understanding Short-Term Implied Volatility Dynamics: A Model-Independent Approach Beyond Stochastic Volatility

This study investigates the short-term asymptotic behavior of the implied volatility surface (IVS), with a particular focus on the at-the-money (ATM) skew and curvature, which are key determinants of the IVS shape and whose are widely concerned in the option market. Departing from conventional proce

Lab Rats Math 8.5 Rigor 3 ·  January 8, 2024

Fast Learning in Quantitative Finance with Extreme Learning Machine

A critical factor in adopting machine learning for time-sensitive financial tasks is computational speed, including model training and inference. This paper demonstrates that a broad class of such problems, especially those previously addressed using deep neural networks, can be efficiently solved u

Lab Rats Math 6.5 Rigor 4 ·  May 14, 2025

Mean Field Game of High-Frequency Anticipatory Trading

The interactions between a large population of high-frequency traders (HFTs) and a large trader (LT) who executes a certain amount of assets at discrete time points are studied. HFTs are faster in the sense that they trade continuously and predict the transactions of LT. A jump process is applied to

Lab Rats Math 8.5 Rigor 2 ·  April 28, 2024

The Effects of High-frequency Anticipatory Trading: Small Informed Trader vs. Round-Tripper

In an extended Kyle’s model, the interactions between a large informed trader and a high-frequency trader (HFT) who can anticipate the former’s incoming order are studied. We find that, in equilibrium, HFT may play the role of Small-IT or Round-Tripper: both of them trade in the same direction as IT

Lab Rats Math 8.5 Rigor 2 ·  April 27, 2023

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