A control variate method for weak approximation of SDEs via discretization of numerical error of asymptotic expansion
Author
Abstract
Suggested Citation
DOI: 10.1515/mcma-2019-2044
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Naoto Kunitomo & Akihiko Takahashi, 2001. "The Asymptotic Expansion Approach to the Valuation of Interest Rate Contingent Claims," Mathematical Finance, Wiley Blackwell, vol. 11(1), pages 117-151, January.
- Eckhard Platen, 2006.
"A Benchmark Approach To Finance,"
Mathematical Finance, Wiley Blackwell, vol. 16(1), pages 131-151, January.
- Eckhard Platen, 2004. "A Benchmark Approach to Finance," Research Paper Series 138, Quantitative Finance Research Centre, University of Technology, Sydney.
- David Heath & Eckhard Platen, 2002.
"A variance reduction technique based on integral representations,"
Quantitative Finance, Taylor & Francis Journals, vol. 2(5), pages 362-369.
- David Heath & Eckhard Platen, 2002. "A Variance Reduction Technique Based on Integral Representations," Research Paper Series 75, Quantitative Finance Research Centre, University of Technology, Sydney.
- Guyon, Julien, 2006. "Euler scheme and tempered distributions," Stochastic Processes and their Applications, Elsevier, vol. 116(6), pages 877-904, June.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Nicola Bruti-Liberati & Christina Nikitopoulos-Sklibosios & Eckhard Platen & Erik Schlögl, 2009.
"Alternative Defaultable Term Structure Models,"
Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 16(1), pages 1-31, March.
- Nicola Bruti-Liberati & Christina Nikitopoulos-Sklibosios & Eckhard Platen & Erik Schlogl, 2009. "Alternative Defaultable Term Structure Models," Research Paper Series 242, Quantitative Finance Research Centre, University of Technology, Sydney.
- Nicola Bruti-Liberati & Eckhard Platen, 2007.
"Approximation of jump diffusions in finance and economics,"
Computational Economics, Springer;Society for Computational Economics, vol. 29(3), pages 283-312, May.
- Nicola Bruti-Liberati & Eckhard Platen, 2006. "Approximation of Jump Diffusions in Finance and Economics," Research Paper Series 176, Quantitative Finance Research Centre, University of Technology, Sydney.
- David Heath & Eckhard Platen, 2014. "A Monte Carlo Method using PDE Expansions for a Diversifed Equity Index Model," Research Paper Series 350, Quantitative Finance Research Centre, University of Technology, Sydney.
- Nicola Bruti-Liberati, 2007. "Numerical Solution of Stochastic Differential Equations with Jumps in Finance," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 1, July-Dece.
- Nicola Bruti-Liberati, 2007. "Numerical Solution of Stochastic Differential Equations with Jumps in Finance," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 1-2007, January-A.
- Detlef Seese & Christof Weinhardt & Frank Schlottmann (ed.), 2008. "Handbook on Information Technology in Finance," International Handbooks on Information Systems, Springer, number 978-3-540-49487-4, November.
- Long, Hongwei & Ma, Chunhua & Shimizu, Yasutaka, 2017. "Least squares estimators for stochastic differential equations driven by small Lévy noises," Stochastic Processes and their Applications, Elsevier, vol. 127(5), pages 1475-1495.
- Kohta Takehara & Masashi Toda & Akihiko Takahashi, 2010. "Application Of A High-Order Asymptotic Expansion Scheme To Long-Term Currency Options," CARF F-Series CARF-F-225, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
- Chenxu Li, 2014. "Closed-Form Expansion, Conditional Expectation, and Option Valuation," Mathematics of Operations Research, INFORMS, vol. 39(2), pages 487-516, May.
- Aleksandr G. Alekseev & Mikhail V. Sokolov, 2016. "Benchmark-based evaluation of portfolio performance: a characterization," Annals of Finance, Springer, vol. 12(3), pages 409-440, December.
- Aït-Sahalia, Yacine & Li, Chenxu & Li, Chen Xu, 2021. "Closed-form implied volatility surfaces for stochastic volatility models with jumps," Journal of Econometrics, Elsevier, vol. 222(1), pages 364-392.
- Akihiko Takahashi & Toshihiro Yamada, 2013. "On Error Estimates for Asymptotic Expansions with Malliavin Weights -Application to Stochastic Volatility Model-," CARF F-Series CARF-F-324, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo, revised Mar 2014.
- Jin Sun & Eckhard Platen, 2019. "Benchmarked Risk Minimizing Hedging Strategies for Life Insurance Policies," Research Paper Series 399, Quantitative Finance Research Centre, University of Technology, Sydney.
- Kenichiro Shiraya & Akihiko Takahashi, 2014. "Pricing Basket Options under Local Stochastic Volatility with Jumps," CIRJE F-Series CIRJE-F-913, CIRJE, Faculty of Economics, University of Tokyo.
- Constantinos Kardaras & Jan Obłój & Eckhard Platen, 2017.
"The Numéraire Property And Long-Term Growth Optimality For Drawdown-Constrained Investments,"
Mathematical Finance, Wiley Blackwell, vol. 27(1), pages 68-95, January.
- Constantinos Kardaras & Jan Obloj & Eckhard Platen, 2012. "The numeraire property and long-term growth optimality for drawdown-constrained investments," Papers 1206.2305, arXiv.org, revised Nov 2012.
- Kardaras, Constantinos & Obłój, Jan & Platen, Eckhard, 2017. "The numéraire property and long-term growth optimality for drawdown-constrained investments," LSE Research Online Documents on Economics 60132, London School of Economics and Political Science, LSE Library.
- Carole Bernard & Franck Moraux & Ludger R�schendorf & Steven Vanduffel, 2015.
"Optimal payoffs under state-dependent preferences,"
Quantitative Finance, Taylor & Francis Journals, vol. 15(7), pages 1157-1173, July.
- Carole Bernard & Franck Moraux & Ludger Rueschendorf & Steven Vanduffel, 2013. "Optimal Payoffs under State-dependent Preferences," Papers 1308.6465, arXiv.org, revised Jul 2014.
- Carole Bernard & Franck Moraux & Ludger Rüschendorf & Steven Vanduffel, 2015. "Optimal payoffs under state-dependent preferences," Post-Print halshs-01118540, HAL.
- Eckhard Platen, 2008. "A Unifying Approach to Asset Pricing," Research Paper Series 227, Quantitative Finance Research Centre, University of Technology, Sydney.
- Palma, Nuno, 2018.
"Money and modernization in early modern England,"
Financial History Review, Cambridge University Press, vol. 25(3), pages 231-261, December.
- Nuno Palma, 2019. "Money and modernization in early modern England," Working Papers 0147, European Historical Economics Society (EHES).
- Nuno Palma, 2019. "Money and Modernization in Early Modern England," Economics Discussion Paper Series 1903, Economics, The University of Manchester.
- Samson Assefa, 2007. "Pricing Swaptions and Credit Default Swaptions in the Quadratic Gaussian Factor Model," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 3-2007, January-A.
- Mikhail Zhitlukhin, 2020. "A continuous-time asset market game with short-lived assets," Papers 2008.13230, arXiv.org.
More about this item
Keywords
Heath–Platen estimator; weak approximation; stochastic differential equation; asymptotic expansion; Monte Carlo simulation;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bpj:mcmeap:v:25:y:2019:i:3:p:239-252:n:5. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Peter Golla (email available below). General contact details of provider: https://www.degruyter.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.