Study Asian option pricing under uncertain volatility, approximating prices with small volatility intervals.
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The paper derives upper hedging prices for multivariate contingent claims using game-theoretic probability and submodularity.
We give an exposition and numerical studies of upper hedging prices in multinomial models from the viewpoint of linear programming and the game-theoretic probability of Shafer and Vovk. We also show that, as the number of rounds goes to infinity, the upper hedging price of a European option converges to the solution of…
Deep neural networks solve high-dimensional PDEs without explicit grids.
Model uncertainty is a type of inevitable financial risk. Mistakes on the choice of pricing model may cause great financial losses. In this paper we investigate financial markets with mean-volatility uncertainty. Models for stock markets and option markets with uncertain prior distribution are established by Peng's G-s…
New method solves high-dimensional PDEs and 2BSDEs efficiently.