Modeling Asset Price Under Two-Factor Heston Model with Jumps
In this paper, we present an extension of the double Heston’s stochastic volatility model by adding jumps to financial modeling for stock prices. We assume that the underlying asset price follows the double Heston’s stochastic volatility model with jumps. In order to evaluate the European call optio...
Gespeichert in:
Veröffentlicht in: | International journal of applied and computational mathematics 2017-12, Vol.3 (4), p.3783-3794 |
---|---|
Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 3794 |
---|---|
container_issue | 4 |
container_start_page | 3783 |
container_title | International journal of applied and computational mathematics |
container_volume | 3 |
creator | Mehrdoust, Farshid Saber, Naghmeh Najafi, Ali Reza |
description | In this paper, we present an extension of the double Heston’s stochastic volatility model by adding jumps to financial modeling for stock prices. We assume that the underlying asset price follows the double Heston’s stochastic volatility model with jumps. In order to evaluate the European call option pricing, we use the Fast Fourier transform approach as an effective tool in the valuation of options and compare it with a discretization scheme in naive Monte-Carlo and antithetic variates Monte-Carlo methods. |
doi_str_mv | 10.1007/s40819-017-0328-2 |
format | Article |
fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_1955078373</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1955078373</sourcerecordid><originalsourceid>FETCH-LOGICAL-c2312-c6896895a85266b4be3eff22c669c3718f8a11b89a600b5f4a91d3330df6291b3</originalsourceid><addsrcrecordid>eNp1kDFPwzAQhS0EElXpD2CzxGy4sxPHHhiqilIQCIZ2thzHKanapNipKv49LmFgQTrp3vC9d6dHyDXCLQIUdzEDhZoBFgwEV4yfkRFHrVleaHmetMiSRhCXZBLjBgA4ZgVwNSL3r13lt027ptMYfU_fQ-M8XbWVD3R57Njcur4LdOFj37X0B6bHpv-gz4fdPl6Ri9puo5_87jFZzR-WswV7eXt8mk1fmOMCOXNS6TS5VTmXssxKL3xdc-6k1E4UqGplEUulrQQo8zqzGishBFS15BpLMSY3Q-4-dJ-H9IvZdIfQppMGdZ5DoUQhEoUD5UIXY_C12YdmZ8OXQTCnosxQlElFmVNRhicPHzwxse3ahz_J_5q-AZIKaD8</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1955078373</pqid></control><display><type>article</type><title>Modeling Asset Price Under Two-Factor Heston Model with Jumps</title><source>SpringerLink Journals - AutoHoldings</source><creator>Mehrdoust, Farshid ; Saber, Naghmeh ; Najafi, Ali Reza</creator><creatorcontrib>Mehrdoust, Farshid ; Saber, Naghmeh ; Najafi, Ali Reza</creatorcontrib><description>In this paper, we present an extension of the double Heston’s stochastic volatility model by adding jumps to financial modeling for stock prices. We assume that the underlying asset price follows the double Heston’s stochastic volatility model with jumps. In order to evaluate the European call option pricing, we use the Fast Fourier transform approach as an effective tool in the valuation of options and compare it with a discretization scheme in naive Monte-Carlo and antithetic variates Monte-Carlo methods.</description><identifier>ISSN: 2349-5103</identifier><identifier>EISSN: 2199-5796</identifier><identifier>DOI: 10.1007/s40819-017-0328-2</identifier><language>eng</language><publisher>New Delhi: Springer India</publisher><subject>Applications of Mathematics ; Applied mathematics ; Computational mathematics ; Computational Science and Engineering ; Computer simulation ; Fast Fourier transformations ; Fourier transforms ; Mathematical and Computational Physics ; Mathematical Modeling and Industrial Mathematics ; Mathematics ; Mathematics and Statistics ; Modelling ; Monte Carlo simulation ; Nuclear Energy ; Operations Research/Decision Theory ; Original Paper ; Theoretical ; Volatility</subject><ispartof>International journal of applied and computational mathematics, 2017-12, Vol.3 (4), p.3783-3794</ispartof><rights>Springer India Pvt. Ltd. 2017</rights><rights>Copyright Springer Science & Business Media 2017</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c2312-c6896895a85266b4be3eff22c669c3718f8a11b89a600b5f4a91d3330df6291b3</citedby><cites>FETCH-LOGICAL-c2312-c6896895a85266b4be3eff22c669c3718f8a11b89a600b5f4a91d3330df6291b3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s40819-017-0328-2$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s40819-017-0328-2$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Mehrdoust, Farshid</creatorcontrib><creatorcontrib>Saber, Naghmeh</creatorcontrib><creatorcontrib>Najafi, Ali Reza</creatorcontrib><title>Modeling Asset Price Under Two-Factor Heston Model with Jumps</title><title>International journal of applied and computational mathematics</title><addtitle>Int. J. Appl. Comput. Math</addtitle><description>In this paper, we present an extension of the double Heston’s stochastic volatility model by adding jumps to financial modeling for stock prices. We assume that the underlying asset price follows the double Heston’s stochastic volatility model with jumps. In order to evaluate the European call option pricing, we use the Fast Fourier transform approach as an effective tool in the valuation of options and compare it with a discretization scheme in naive Monte-Carlo and antithetic variates Monte-Carlo methods.</description><subject>Applications of Mathematics</subject><subject>Applied mathematics</subject><subject>Computational mathematics</subject><subject>Computational Science and Engineering</subject><subject>Computer simulation</subject><subject>Fast Fourier transformations</subject><subject>Fourier transforms</subject><subject>Mathematical and Computational Physics</subject><subject>Mathematical Modeling and Industrial Mathematics</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Modelling</subject><subject>Monte Carlo simulation</subject><subject>Nuclear Energy</subject><subject>Operations Research/Decision Theory</subject><subject>Original Paper</subject><subject>Theoretical</subject><subject>Volatility</subject><issn>2349-5103</issn><issn>2199-5796</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNp1kDFPwzAQhS0EElXpD2CzxGy4sxPHHhiqilIQCIZ2thzHKanapNipKv49LmFgQTrp3vC9d6dHyDXCLQIUdzEDhZoBFgwEV4yfkRFHrVleaHmetMiSRhCXZBLjBgA4ZgVwNSL3r13lt027ptMYfU_fQ-M8XbWVD3R57Njcur4LdOFj37X0B6bHpv-gz4fdPl6Ri9puo5_87jFZzR-WswV7eXt8mk1fmOMCOXNS6TS5VTmXssxKL3xdc-6k1E4UqGplEUulrQQo8zqzGishBFS15BpLMSY3Q-4-dJ-H9IvZdIfQppMGdZ5DoUQhEoUD5UIXY_C12YdmZ8OXQTCnosxQlElFmVNRhicPHzwxse3ahz_J_5q-AZIKaD8</recordid><startdate>20171201</startdate><enddate>20171201</enddate><creator>Mehrdoust, Farshid</creator><creator>Saber, Naghmeh</creator><creator>Najafi, Ali Reza</creator><general>Springer India</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20171201</creationdate><title>Modeling Asset Price Under Two-Factor Heston Model with Jumps</title><author>Mehrdoust, Farshid ; Saber, Naghmeh ; Najafi, Ali Reza</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2312-c6896895a85266b4be3eff22c669c3718f8a11b89a600b5f4a91d3330df6291b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Applications of Mathematics</topic><topic>Applied mathematics</topic><topic>Computational mathematics</topic><topic>Computational Science and Engineering</topic><topic>Computer simulation</topic><topic>Fast Fourier transformations</topic><topic>Fourier transforms</topic><topic>Mathematical and Computational Physics</topic><topic>Mathematical Modeling and Industrial Mathematics</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Modelling</topic><topic>Monte Carlo simulation</topic><topic>Nuclear Energy</topic><topic>Operations Research/Decision Theory</topic><topic>Original Paper</topic><topic>Theoretical</topic><topic>Volatility</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Mehrdoust, Farshid</creatorcontrib><creatorcontrib>Saber, Naghmeh</creatorcontrib><creatorcontrib>Najafi, Ali Reza</creatorcontrib><collection>CrossRef</collection><jtitle>International journal of applied and computational mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Mehrdoust, Farshid</au><au>Saber, Naghmeh</au><au>Najafi, Ali Reza</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Modeling Asset Price Under Two-Factor Heston Model with Jumps</atitle><jtitle>International journal of applied and computational mathematics</jtitle><stitle>Int. J. Appl. Comput. Math</stitle><date>2017-12-01</date><risdate>2017</risdate><volume>3</volume><issue>4</issue><spage>3783</spage><epage>3794</epage><pages>3783-3794</pages><issn>2349-5103</issn><eissn>2199-5796</eissn><abstract>In this paper, we present an extension of the double Heston’s stochastic volatility model by adding jumps to financial modeling for stock prices. We assume that the underlying asset price follows the double Heston’s stochastic volatility model with jumps. In order to evaluate the European call option pricing, we use the Fast Fourier transform approach as an effective tool in the valuation of options and compare it with a discretization scheme in naive Monte-Carlo and antithetic variates Monte-Carlo methods.</abstract><cop>New Delhi</cop><pub>Springer India</pub><doi>10.1007/s40819-017-0328-2</doi><tpages>12</tpages></addata></record> |
fulltext | fulltext |
identifier | ISSN: 2349-5103 |
ispartof | International journal of applied and computational mathematics, 2017-12, Vol.3 (4), p.3783-3794 |
issn | 2349-5103 2199-5796 |
language | eng |
recordid | cdi_proquest_journals_1955078373 |
source | SpringerLink Journals - AutoHoldings |
subjects | Applications of Mathematics Applied mathematics Computational mathematics Computational Science and Engineering Computer simulation Fast Fourier transformations Fourier transforms Mathematical and Computational Physics Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Modelling Monte Carlo simulation Nuclear Energy Operations Research/Decision Theory Original Paper Theoretical Volatility |
title | Modeling Asset Price Under Two-Factor Heston Model with Jumps |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-21T15%3A20%3A51IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Modeling%20Asset%20Price%20Under%20Two-Factor%20Heston%20Model%20with%20Jumps&rft.jtitle=International%20journal%20of%20applied%20and%20computational%20mathematics&rft.au=Mehrdoust,%20Farshid&rft.date=2017-12-01&rft.volume=3&rft.issue=4&rft.spage=3783&rft.epage=3794&rft.pages=3783-3794&rft.issn=2349-5103&rft.eissn=2199-5796&rft_id=info:doi/10.1007/s40819-017-0328-2&rft_dat=%3Cproquest_cross%3E1955078373%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1955078373&rft_id=info:pmid/&rfr_iscdi=true |