Papers, ranked by score

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

Parametric Differential Machine Learning for Pricing and Calibration

Differential machine learning (DML) is a recently proposed technique that uses samplewise state derivatives to regularize least square fits to learn conditional expectations of functionals of stochastic processes as functions of state variables. Exploiting the derivative information leads to fewer s

Holy Grail Math 7.5 Rigor 6.5 ·  February 13, 2023

Inflation Models with Correlation and Skew

We formulate a forward inflation index model with multi-factor volatility structure featuring a parametric form that allows calibration to correlations between indices of different tenors observed in the market. Assuming the nominal interest rate follows a single factor Gaussian short rate model, we

Holy Grail Math 7.5 Rigor 6 ·  May 8, 2024

A Comparison of Reinforcement Learning and Deep Trajectory Based Stochastic Control Agents for Stepwise Mean-Variance Hedging

We consider two data-driven approaches to hedging, Reinforcement Learning and Deep Trajectory-based Stochastic Optimal Control, under a stepwise mean-variance objective. We compare their performance for a European call option in the presence of transaction costs under discrete trading schedules. We

Holy Grail Math 6.5 Rigor 5.5 ·  February 16, 2023

A Flexible Commodity Skew Model with Maturity Effects

We propose a non-parametric extension with leverage functions to the Andersen commodity curve model. We calibrate this model to market data for WTI and NG including option skew at the standard maturities. While the model can be calibrated by an analytical formula for the deterministic rate case, the

Holy Grail Math 6.5 Rigor 5.5 ·  December 15, 2022

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