Option pricing models without probability: a rough paths approach

Author:

Armstrong John1ORCID,Bellani Claudio2,Brigo Damiano2ORCID,Cass Thomas2

Affiliation:

1. King's College London London UK

2. Department of Mathematics Imperial College London London UK

Funder

Engineering and Physical Sciences Research Council

Publisher

Wiley

Subject

Applied Mathematics,Economics and Econometrics,Social Sciences (miscellaneous),Finance,Accounting

Reference22 articles.

1. Mathematical Models for Stock Pinning near Option Expiration Dates

2. A market-induced mechanism for stock pinning

3. Pricing by hedging and no-arbitrage beyond semimartingales

4. Dynamic spanning without probabilities

5. Brigo D.(April2019).Probability‐free models in option pricing: statistically indistinguishable dynamics and historical vs implied volatility.Paper presented at the conference “Options: 45 Years after the publication of the Black‐Scholes‐Merton Model” Jerusalem 4–5 December 2018 arXiv:1904.01889.

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1. A novel portfolio optimization method and its application to the hedging problem;Monte Carlo Methods and Applications;2024-08-03

2. Futures Replication and the Law of One Futures Price;The Quarterly Journal of Finance;2024-02-28

3. A càdlàg rough path foundation for robust finance;Finance and Stochastics;2023-11-17

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