Papers, ranked by score

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

From constant to rough: A survey of continuous volatility modeling

In this paper, we present a comprehensive survey of continuous stochastic volatility models, discussing their historical development and the key stylized facts that have driven the field. Special attention is dedicated to fractional and rough methods: we outline the motivation behind them and charac

Lab Rats Math 7.5 Rigor 4.5 ·  September 2, 2023

Gatheral double stochastic volatility model with Skorokhod reflection

We investigate the Gatheral model of double mean-reverting stochastic volatility, in which the drift term itself follows a mean-reverting process, and the overall model exhibits mean-reverting behavior. We demonstrate that such processes can attain values arbitrarily close to zero and remain near ze

Lab Rats Math 8.5 Rigor 1.5 ·  May 14, 2025

Discrete-time weak approximation of a Black-Scholes model with drift and volatility Markov switching

We consider a continuous-time financial market with an asset whose price is modeled by a linear stochastic differential equation with drift and volatility switching driven by a uniformly ergodic jump Markov process with a countable state space (in fact, this is a Black-Scholes model with Markov swit

Lab Rats Math 8.5 Rigor 1.5 ·  January 12, 2025

Properties of the entropic risk measure EVaR in relation to selected distributions

Entropic Value-at-Risk (EVaR) measure is a convenient coherent risk measure. Due to certain difficulties in finding its analytical representation, it was previously calculated explicitly only for the normal distribution. We succeeded to overcome these difficulties and to calculate Entropic Value-at-

Lab Rats Math 7.5 Rigor 2 ·  March 3, 2024

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