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Stochastic volatility models with ap...
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Zhao, Ze.
Stochastic volatility models with applications in finance.
Record Type:
Language materials, manuscript : Monograph/item
Title/Author:
Stochastic volatility models with applications in finance./
Author:
Zhao, Ze.
Description:
1 online resource (120 pages)
Notes:
Source: Dissertation Abstracts International, Volume: 78-08(E), Section: B.
Contained By:
Dissertation Abstracts International78-08B(E).
Subject:
Applied mathematics. -
Online resource:
click for full text (PQDT)
ISBN:
9781369624304
Stochastic volatility models with applications in finance.
Zhao, Ze.
Stochastic volatility models with applications in finance.
- 1 online resource (120 pages)
Source: Dissertation Abstracts International, Volume: 78-08(E), Section: B.
Thesis (Ph.D.)
Includes bibliographical references
Derivative pricing, model calibration, and sensitivity analysis are the three main problems in financial modeling. The purpose of this study is to present an algorithm to improve the pricing process, the calibration process, and the sensitivity analysis of the double Heston model, in the sense of accuracy and efficiency. Using the optimized caching technique, our study reduces the pricing computation time by about 15%. Another contribution of this thesis is: a novel application of the Automatic Differentiation (AD) algorithms in order to achieve a more stable, more accurate, and faster sensitivity analysis for the double Heston model (compared to the classical finite difference methods). This thesis also presents a novel hybrid model by combing the heuristic method Differentiation Evolution, and the gradient method Levenberg--Marquardt algorithm. Our new hybrid model significantly accelerates the calibration process.
Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018
Mode of access: World Wide Web
ISBN: 9781369624304Subjects--Topical Terms:
1069907
Applied mathematics.
Index Terms--Genre/Form:
554714
Electronic books.
Stochastic volatility models with applications in finance.
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available through World Wide Web
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Zhao, Ze.
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Stochastic volatility models with applications in finance.
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2016
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1 online resource (120 pages)
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text
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Source: Dissertation Abstracts International, Volume: 78-08(E), Section: B.
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Adviser: Palle Jorgensen.
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Thesis (Ph.D.)
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The University of Iowa
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2016.
504
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Includes bibliographical references
520
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Derivative pricing, model calibration, and sensitivity analysis are the three main problems in financial modeling. The purpose of this study is to present an algorithm to improve the pricing process, the calibration process, and the sensitivity analysis of the double Heston model, in the sense of accuracy and efficiency. Using the optimized caching technique, our study reduces the pricing computation time by about 15%. Another contribution of this thesis is: a novel application of the Automatic Differentiation (AD) algorithms in order to achieve a more stable, more accurate, and faster sensitivity analysis for the double Heston model (compared to the classical finite difference methods). This thesis also presents a novel hybrid model by combing the heuristic method Differentiation Evolution, and the gradient method Levenberg--Marquardt algorithm. Our new hybrid model significantly accelerates the calibration process.
533
$a
Electronic reproduction.
$b
Ann Arbor, Mich. :
$c
ProQuest,
$d
2018
538
$a
Mode of access: World Wide Web
650
4
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Applied mathematics.
$3
1069907
650
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$a
Finance.
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559073
650
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Statistics.
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Electronic books.
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554714
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ProQuest Information and Learning Co.
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The University of Iowa.
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Applied Mathematical and Computational Sciences.
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1179130
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Dissertation Abstracts International
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78-08B(E).
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http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10240981
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click for full text (PQDT)
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