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Quantitative Fundamental Theorem of Asset Pricing

Mathematical Finance, Volume 35, Issue 3, Page 636-660, July 2025.
ABSTRACT In this paper, we provide a quantitative analysis of the concept of arbitrage, that allows us to deal with model uncertainty without imposing the no‐arbitrage condition. In markets that admit “small arbitrage,” we can still make sense of the problems of pricing and hedging.
Beatrice Acciaio +2 more
wiley +1 more source

A new pricing method for integrated energy systems based on geometric Brownian motions under the risk-neutral measure. [PDF]

Heliyon
Liu J, Zhou L, Yu H.
europepmc +1 more source

Rough PDEs for Local Stochastic Volatility Models

Mathematical Finance, Volume 35, Issue 3, Page 661-681, July 2025.
ABSTRACT In this work, we introduce a novel pricing methodology in general, possibly non‐Markovian local stochastic volatility (LSV) models. We observe that by conditioning the LSV dynamics on the Brownian motion that drives the volatility, one obtains a time‐inhomogeneous Markov process. Using tools from rough path theory, we describe how to precisely
Peter Bank +3 more
wiley +1 more source

Cross-section without factors: a string model for expected returns. [PDF]

Quant Finance
Distaso W, Mele A, Vilkov G.
europepmc +1 more source

Dynamic characteristics of expectations of short-term interest rate and a generalized Vasicek model. [PDF]

Heliyon
Guan Y, Fang Z, Wang X, Wang X, Yu T.
europepmc +1 more source

A pseudo-analytic generalization of the memoryless property for continuous random variables and its use in pricing contingent claims. [PDF]

R Soc Open Sci
Carr P, Cirillo P.
europepmc +1 more source

Co-Optimization of Distribution Transformer Aging and Energy Arbitrage Using Electric Vehicles