Finite Difference Methods for the BSDEs in Finance

This paper gives a review of numerical methods for solving the BSDEs, especially, finite difference methods. For numerical methods of finite difference, we should divide them into three branches. Distributed method (or parallel method) should now become a hot topic. It is a key reason we present the...

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Main Author: Guangbao Guo
Format: Article
Language:English
Published: MDPI AG 2018-03-01
Series:International Journal of Financial Studies
Subjects:
Online Access:http://www.mdpi.com/2227-7072/6/1/26
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spelling doaj-9a77632cbd234715ae5d757c00c875c12020-11-24T21:30:04ZengMDPI AGInternational Journal of Financial Studies2227-70722018-03-01612610.3390/ijfs6010026ijfs6010026Finite Difference Methods for the BSDEs in FinanceGuangbao Guo0Department of Statistics, Shandong University of Technology, Zibo 255000, ChinaThis paper gives a review of numerical methods for solving the BSDEs, especially, finite difference methods. For numerical methods of finite difference, we should divide them into three branches. Distributed method (or parallel method) should now become a hot topic. It is a key reason we present the review. We give a brief survey on the financial problems. The problems include solution and simulation methods for the BSDEs. We first describe the BSDEs, and then outline the main techniques and main results of the BSDEs. In addition, we compare with the errors between these methods and the Euler method on the BSDEs.http://www.mdpi.com/2227-7072/6/1/26finite differencedistributed option pricingBSDEsFBSDEsparallel computingfinance
collection DOAJ
language English
format Article
sources DOAJ
author Guangbao Guo
spellingShingle Guangbao Guo
Finite Difference Methods for the BSDEs in Finance
International Journal of Financial Studies
finite difference
distributed option pricing
BSDEs
FBSDEs
parallel computing
finance
author_facet Guangbao Guo
author_sort Guangbao Guo
title Finite Difference Methods for the BSDEs in Finance
title_short Finite Difference Methods for the BSDEs in Finance
title_full Finite Difference Methods for the BSDEs in Finance
title_fullStr Finite Difference Methods for the BSDEs in Finance
title_full_unstemmed Finite Difference Methods for the BSDEs in Finance
title_sort finite difference methods for the bsdes in finance
publisher MDPI AG
series International Journal of Financial Studies
issn 2227-7072
publishDate 2018-03-01
description This paper gives a review of numerical methods for solving the BSDEs, especially, finite difference methods. For numerical methods of finite difference, we should divide them into three branches. Distributed method (or parallel method) should now become a hot topic. It is a key reason we present the review. We give a brief survey on the financial problems. The problems include solution and simulation methods for the BSDEs. We first describe the BSDEs, and then outline the main techniques and main results of the BSDEs. In addition, we compare with the errors between these methods and the Euler method on the BSDEs.
topic finite difference
distributed option pricing
BSDEs
FBSDEs
parallel computing
finance
url http://www.mdpi.com/2227-7072/6/1/26
work_keys_str_mv AT guangbaoguo finitedifferencemethodsforthebsdesinfinance
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