Sica, Federica (2021) Meshless Methods for Option Pricing and Risks Computation. [Tesi di dottorato]
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| Tipologia del documento: | Tesi di dottorato |
|---|---|
| Lingua: | English |
| Titolo: | Meshless Methods for Option Pricing and Risks Computation |
| Autori: | Autore Email Sica, Federica federica.sica@unina.it |
| Data: | 10 Aprile 2021 |
| Numero di pagine: | 86 |
| Istituzione: | Università degli Studi di Napoli Federico II |
| Dipartimento: | Scienze Economiche e Statistiche |
| Dottorato: | Economia |
| Ciclo di dottorato: | 33 |
| Coordinatore del Corso di dottorato: | nome email Pagano, Marco pagano56@gmail.com |
| Tutor: | nome email Di Lorenzo, Emilia [non definito] |
| Data: | 10 Aprile 2021 |
| Numero di pagine: | 86 |
| Parole chiave: | meshless, pricing, risks |
| Settori scientifico-disciplinari del MIUR: | Area 13 - Scienze economiche e statistiche > SECS-S/06 - Metodi matematici dell'economia e delle scienze attuariali e finanziarie |
| Depositato il: | 19 Mag 2021 13:20 |
| Ultima modifica: | 07 Giu 2023 10:33 |
| URI: | http://www.fedoa.unina.it/id/eprint/13904 |
Abstract
In this thesis we price several financial derivatives by means of radial basis functions. Our main contribution consists in extending the usage of said numerical methods to the pricing of more complex derivatives - such as American and basket options with barriers - and in computing the associated risks. First, we derive the mathematical expressions for the prices and the Greeks of given options; next, we implement the corresponding numerical algorithm in MATLAB and calculate the results. We compare our results to the most common techniques applied in practice such as Finite Differences and Monte Carlo methods. We mostly use real data as input for our examples. We conclude radial basis functions offer a valid alternative to current pricing methods, especially because of the efficiency deriving from the free, direct calculation of risks during the pricing process. Eventually, we provide suggestions for future research by applying radial basis function for an implied volatility surface reconstruction.
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