Arbitrage-Free Pricing Of Derivatives In Nonlinear Market Models
Mathematical Finance
2018-04-11 v2 Pricing of Securities
Abstract
The objective of this paper is to provide a comprehensive study no-arbitrage pricing of financial derivatives in the presence of funding costs, the counterparty credit risk and market frictions affecting the trading mechanism, such as collateralization and capital requirements. To achieve our goals, we extend in several respects the nonlinear pricing approach developed in El Karoui and Quenez (1997) and El Karoui et al. (1997), which was subsequently continued in Bielecki and Rutkowski (2015).
Keywords
Cite
@article{arxiv.1701.08399,
title = {Arbitrage-Free Pricing Of Derivatives In Nonlinear Market Models},
author = {Tomasz R. Bielecki and Igor Cialenco and Marek Rutkowski},
journal= {arXiv preprint arXiv:1701.08399},
year = {2018}
}
Comments
Forthcoming in Probability, Uncertainty and Quantitative Risk