FIDEUM: Difference between revisions

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'''Brief description'''<br><br>
'''Brief description:'''
 
Incomplete markets require new statistical, analytical, and numerical methods, to cope with stochastic volatilities or jumps in the stochastic processes, e.g. These are investigated in a joint project of Universität Heidelberg (with focus on modeling, analysis and statistics), Universität Bonn (with focus on numerics) and SCCS (with focus on software development). The goal of our work in the project is to integrate newly developed methods - especially sparse grid techniques - into the framework of ThetaML, a system of [http://www.thetaris.com/22-0-Imprint.html Thetaris GmbH] that allows rapid formulation and analysis of complex financial derivatives.
Incomplete markets require new statistical, analytical, and numerical methods, to cope with stochastic volatilities or jumps in the stochastic processes, e.g. These are investigated in a joint project of Universität Heidelberg (with focus on modeling, analysis and statistics), Universität Bonn (with focus on numerics) and SCCS (with focus on software development). The goal of our work in the project is to integrate newly developed methods - especially sparse grid techniques - into the framework of ThetaML, a system of [http://www.thetaris.com/22-0-Imprint.html Thetaris GmbH] that allows rapid formulation and analysis of complex financial derivatives.


 
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=== Finanzderivate in unvollständigen Märkten ===
Simulationssoftware ist ein notwendiges Werkzeug, um die immer schneller ent wi ckel ten und komplexer
Simulationssoftware ist ein notwendiges Werkzeug, um die immer schneller ent wi ckel ten und komplexer
werdenden Finanzprodukte verständlich zu machen. Dabei ist die Umsetzung neuer Modelle
werdenden Finanzprodukte verständlich zu machen. Dabei ist die Umsetzung neuer Modelle
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Beschreibungssprache arbeitet. Es repräsen tiert zusätzlich eine Plattform für die Implementierung
Beschreibungssprache arbeitet. Es repräsen tiert zusätzlich eine Plattform für die Implementierung
der im Rahmen des Projekts entwickelten Modelle und Methoden
der im Rahmen des Projekts entwickelten Modelle und Methoden
 
-->
 
 
 


[http://www5.in.tum.de/wiki/index.php/FIDEUM http://www5.in.tum.de/wiki/uploads/d/df/FIDEUM_AmericanOption_Thetagram.png] [http://www5.in.tum.de/wiki/index.php/FIDEUM http://www5.in.tum.de/wiki/uploads/b/be/FIDEUM_AmericanOption_Thetascript.png]
[http://www5.in.tum.de/wiki/index.php/FIDEUM http://www5.in.tum.de/wiki/uploads/d/df/FIDEUM_AmericanOption_Thetagram.png] [http://www5.in.tum.de/wiki/index.php/FIDEUM http://www5.in.tum.de/wiki/uploads/b/be/FIDEUM_AmericanOption_Thetascript.png]
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'''co-operation partners:'''
'''Co-operation partners:'''


* Prof. Dr. Drs. h.c. Willi Jäger (IWR, University of Heidelberg)
* Prof. Dr. Drs. h.c. Willi Jäger (IWR, University of Heidelberg)
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'''partner form industry:'''
'''Partner form industry:'''
[http://www.thetaris.com http://www5.in.tum.de/wiki/uploads/b/bc/FIDEUM_ThetarisLogo.png]
[http://www.thetaris.com http://www5.in.tum.de/wiki/uploads/b/bc/FIDEUM_ThetarisLogo.png]



Revision as of 12:55, 2 February 2009

Finanzderivate in unvollständigen Märkten
(Modeling and Valuation of Financial Derivatives in Incomplete Markets)

financed by the BMBF support program: Mathematics for innovations in the Industrial and Service Sectors


Brief description: Incomplete markets require new statistical, analytical, and numerical methods, to cope with stochastic volatilities or jumps in the stochastic processes, e.g. These are investigated in a joint project of Universität Heidelberg (with focus on modeling, analysis and statistics), Universität Bonn (with focus on numerics) and SCCS (with focus on software development). The goal of our work in the project is to integrate newly developed methods - especially sparse grid techniques - into the framework of ThetaML, a system of Thetaris GmbH that allows rapid formulation and analysis of complex financial derivatives.


FIDEUM_AmericanOption_Thetagram.png FIDEUM_AmericanOption_Thetascript.png

Figure 1: A financial product - here an American option - can be visualized as "Thetagram" or modeled as text as a so-called "ThetaScript".


FIDEUM_asianOption_simulation_plots.png

Figure 2: Generating a simulation from the model: Here, the development of an Asian option is illustrated.


Co-operation partners:

  • Prof. Dr. Drs. h.c. Willi Jäger (IWR, University of Heidelberg)
  • Prof. Dr. Markus Reiß (Institute of Applied Mathematics, University of Heidelberg)
  • Prof. Dr. Michael Griebel (Institute for Numerical Simulation, University of Bonn)


Partner form industry: FIDEUM_ThetarisLogo.png


Contact: Stefanie Schraufstetter, Stefan Zimmer