File Download
There are no files associated with this item.
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1007/s10614-017-9754-9
- Scopus: eid_2-s2.0-85029755674
- WOS: WOS:000458498000004
- Find via
Supplementary
- Citations:
- Appears in Collections:
Article: Option Pricing under a Stochastic Interest Rate and Volatility Model with Hidden Markovian Regime-switching
Title | Option Pricing under a Stochastic Interest Rate and Volatility Model with Hidden Markovian Regime-switching |
---|---|
Authors | |
Keywords | Characteristic function Fourier transformation Hidden Markov model (HMM) Option pricing Regime-switching |
Issue Date | 2019 |
Publisher | Springer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0927-7099 |
Citation | Computational Economics, 2019, v. 53 n. 2, p. 555-586 How to Cite? |
Abstract | In this paper we discuss an option pricing problem in a hidden Markovian regime-switching model with a stochastic interest rate and volatility. Regime switches are attributed to structural changes in an hidden economic environment and are described by a continuous-time, finite-state, unobservable Markov chain. The model is then applied to the valuation of a standard European option. By means of the standard separation principle, filtering and option valuation problems are separated. Robust filters for the hidden states of the economy and their robust filtered estimates of unknown parameters from the expectation maximization algorithm are presented based on standard techniques in filtering theory. Then an explicit expression of a conditional characteristic function relevant to option pricing is presented and the valuation of the option is discussed using the inverse Fourier transformation approach. Using the limiting behavior of the conditional characteristic function, an efficient implementation of the transform inversion integral is considered. Numerical experiments are given to illustrate the flexibility of filtering algorithms and the significance of regime-switching in option pricing. |
Persistent Identifier | http://hdl.handle.net/10722/275052 |
ISSN | 2023 Impact Factor: 1.9 2023 SCImago Journal Rankings: 0.498 |
ISI Accession Number ID |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Zhu, D | - |
dc.contributor.author | Lu, J | - |
dc.contributor.author | Ching, WK | - |
dc.contributor.author | Siu, T | - |
dc.date.accessioned | 2019-09-10T02:34:27Z | - |
dc.date.available | 2019-09-10T02:34:27Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | Computational Economics, 2019, v. 53 n. 2, p. 555-586 | - |
dc.identifier.issn | 0927-7099 | - |
dc.identifier.uri | http://hdl.handle.net/10722/275052 | - |
dc.description.abstract | In this paper we discuss an option pricing problem in a hidden Markovian regime-switching model with a stochastic interest rate and volatility. Regime switches are attributed to structural changes in an hidden economic environment and are described by a continuous-time, finite-state, unobservable Markov chain. The model is then applied to the valuation of a standard European option. By means of the standard separation principle, filtering and option valuation problems are separated. Robust filters for the hidden states of the economy and their robust filtered estimates of unknown parameters from the expectation maximization algorithm are presented based on standard techniques in filtering theory. Then an explicit expression of a conditional characteristic function relevant to option pricing is presented and the valuation of the option is discussed using the inverse Fourier transformation approach. Using the limiting behavior of the conditional characteristic function, an efficient implementation of the transform inversion integral is considered. Numerical experiments are given to illustrate the flexibility of filtering algorithms and the significance of regime-switching in option pricing. | - |
dc.language | eng | - |
dc.publisher | Springer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0927-7099 | - |
dc.relation.ispartof | Computational Economics | - |
dc.rights | This is a post-peer-review, pre-copyedit version of an article published in [insert journal title]. The final authenticated version is available online at: http://dx.doi.org/[insert DOI] | - |
dc.subject | Characteristic function | - |
dc.subject | Fourier transformation | - |
dc.subject | Hidden Markov model (HMM) | - |
dc.subject | Option pricing | - |
dc.subject | Regime-switching | - |
dc.title | Option Pricing under a Stochastic Interest Rate and Volatility Model with Hidden Markovian Regime-switching | - |
dc.type | Article | - |
dc.identifier.email | Ching, WK: wching@hku.hk | - |
dc.identifier.authority | Ching, WK=rp00679 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1007/s10614-017-9754-9 | - |
dc.identifier.scopus | eid_2-s2.0-85029755674 | - |
dc.identifier.hkuros | 303660 | - |
dc.identifier.volume | 53 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 555 | - |
dc.identifier.epage | 586 | - |
dc.identifier.isi | WOS:000458498000004 | - |
dc.publisher.place | United States | - |
dc.identifier.issnl | 0927-7099 | - |