Bitcoin option pricing: A market attention approach
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914640447930368 |
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| author | Julia, Alvaro Guinea Roux, Alet |
| author_facet | Julia, Alvaro Guinea Roux, Alet |
| contents | A model is proposed for Bitcoin prices that takes into account market attention. Market attention, modeled by a mean-reverting Cox-Ingersoll-Ross processes, affects the volatility of Bitcoin returns, with some delay. The model is affine and tractable, with closed formulae for the conditional characteristic functions with respect to both the conventional and a delayed filtration. This leads to semi-closed formulae for European call and put prices. A maximum likelihood estimation procedure is provided, as well as a method for changing to a risk-neutral measure. The model compares very well against classical and attention-based models when tested on real data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_12447 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Bitcoin option pricing: A market attention approach Julia, Alvaro Guinea Roux, Alet Pricing of Securities Mathematical Finance 91B70, 91G15, 91G20 A model is proposed for Bitcoin prices that takes into account market attention. Market attention, modeled by a mean-reverting Cox-Ingersoll-Ross processes, affects the volatility of Bitcoin returns, with some delay. The model is affine and tractable, with closed formulae for the conditional characteristic functions with respect to both the conventional and a delayed filtration. This leads to semi-closed formulae for European call and put prices. A maximum likelihood estimation procedure is provided, as well as a method for changing to a risk-neutral measure. The model compares very well against classical and attention-based models when tested on real data. |
| title | Bitcoin option pricing: A market attention approach |
| topic | Pricing of Securities Mathematical Finance 91B70, 91G15, 91G20 |
| url | https://arxiv.org/abs/2107.12447 |