| Dewey Class |
519.5 |
| Title |
Computation of Greeks Using the Discrete Malliavin Calculus and Binomial Tree ( EBook/) / by Yoshifumi Muroi. |
| Author |
Muroi, Yoshifumi |
| Other name(s) |
SpringerLink (Online service) |
| Edition statement |
1st ed. 2022. |
| Publication |
Singapore : : Springer Nature Singapore : : Imprint: Springer, , 2022. |
| Physical Details |
VIII, 106 p. 5 illus. : online resource. |
| Series |
JSS Research Series in Statistics 2364-0065 |
| ISBN |
9789811910739 |
| Summary Note |
This book presents new computation schemes for the sensitivity of options using the binomial tree and introduces readers to the discrete Malliavin calculus. It also shows that applications of the discrete Malliavin calculus approach to the binomial tree model offer fundamental tools for computing Greeks. The binomial tree approach is one of the most popular methods in option pricing. Although it is a fairly traditional model for option pricing, it is still widely used in financial institutions since it is tractable and easy to understand. However, the book shows that the tree approach also offers a powerful tool for deriving the Greeks for options. Greeks are quantities that represent the sensitivities of the price of derivative securities with respect to changes in the underlying asset price or parameters. The Malliavin calculus, the stochastic methods of variations, is one of the most popular tools used to derive Greeks. However, it is also very difficult to understand for most students and practitioners because it is based on complex mathematics. To help readers more easily understand the Malliavin calculus, the book introduces the discrete Malliavin calculus, a theory of the functional for the Bernoulli random walk. The discrete Malliavin calculus is significantly easier to understand, because the functional space of the Bernoulli random walk is realized in a finite dimensional space. As such, it makes this valuable tool far more accessible for a broad readership.: |
| Contents note |
Introduction -- Single-Period Model -- Multiple Time Model -- Application to Finance -- Spectral Binomial Tree -- Short Introduction to Malliavin Calculus in Continuous Time Model -- Discrete Malliavin Greeks. |
| Mode of acces to digital resource |
Digital reproduction.- |
| Cham : |
| Springer International Publishing, |
| 2022. - |
| Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| Internet Site |
https://doi.org/10.1007/978-981-19-1073-9 |
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