Discretization of continuous-time arbitrage strategies in financial markets with fractional Brownian motion
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909439599050752 |
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| author | Lamert, Kerstin Auer, Benjamin R. Wunderlich, Ralf |
| author_facet | Lamert, Kerstin Auer, Benjamin R. Wunderlich, Ralf |
| contents | This study evaluates the practical usefulness of continuous-time arbitrage strategies designed to exploit serial correlation in fractional financial markets. Specifically, we revisit the strategies of Shiryaev (1998) and Salopek (1998) and transfer them to a real-world setting by distretizing their dynamics and introducing transaction costs. In Monte Carlo simulations with various market and trading parameter settings as well as a formal analysis of discretization error, we show that both are promising with respect to terminal portfolio values and loss probabilities. These features and complementary sparsity make them worth serious consideration in the toolkit of quantitative investors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_15635 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Discretization of continuous-time arbitrage strategies in financial markets with fractional Brownian motion Lamert, Kerstin Auer, Benjamin R. Wunderlich, Ralf Portfolio Management 91G10, 91G80 This study evaluates the practical usefulness of continuous-time arbitrage strategies designed to exploit serial correlation in fractional financial markets. Specifically, we revisit the strategies of Shiryaev (1998) and Salopek (1998) and transfer them to a real-world setting by distretizing their dynamics and introducing transaction costs. In Monte Carlo simulations with various market and trading parameter settings as well as a formal analysis of discretization error, we show that both are promising with respect to terminal portfolio values and loss probabilities. These features and complementary sparsity make them worth serious consideration in the toolkit of quantitative investors. |
| title | Discretization of continuous-time arbitrage strategies in financial markets with fractional Brownian motion |
| topic | Portfolio Management 91G10, 91G80 |
| url | https://arxiv.org/abs/2311.15635 |