RIVAL

Risk and Valuation of Financial Assets: A Robust Approach

 Coordinatore UNIVERSITAT WIEN 

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 Nazionalità Coordinatore Austria [AT]
 Totale costo 1˙266˙000 €
 EC contributo 1˙266˙000 €
 Programma FP7-IDEAS-ERC
Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
 Code Call ERC-2009-AdG
 Funding Scheme ERC-AG
 Anno di inizio 2010
 Periodo (anno-mese-giorno) 2010-04-01   -   2015-03-31

 Partecipanti

# participant  country  role  EC contrib. [€] 
1    UNIVERSITAT WIEN

 Organization address address: UNIVERSITATSRING 1
city: WIEN
postcode: 1010

contact info
Titolo: Dr.
Nome: Helmut
Cognome: Schaschl
Email: send email
Telefono: +43 1 4277 18218
Fax: +43 1 4277 9182

AT (WIEN) hostInstitution 1˙266˙000.00
2    UNIVERSITAT WIEN

 Organization address address: UNIVERSITATSRING 1
city: WIEN
postcode: 1010

contact info
Titolo: Prof.
Nome: Walter
Cognome: Schachermayer
Email: send email
Telefono: +43 1 4277 50723
Fax: +43 1 4277 9506

AT (WIEN) hostInstitution 1˙266˙000.00

Mappa


 Word cloud

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models    theory    underlying    alternative    hedging    free    assets    brownian    transaction    risk    motion    valuation    financial    arbitrage   

 Obiettivo del progetto (Objective)

The recent financial crisis has brought to light the importance of correctly evaluating financial assets and their underlying risk. Any such valuation should be robust, i.e., should not be overly sensitive to the modelling assumptions. According to the Black--Scholes theory, which lies at the heart of most current valuation methods, the risk involved by a financial asset can be perfectly eliminated by pursuing a proper dynamic hedging strategy. Unfortunately, although formally elegant, this theory is too much of an idealization of the real world situation. The underlying model fails to be robust in two ways: the prices follow geometric Brownian motion, and transaction costs must be zero. The use of alternative models, e.g. based on fractional Brownian motion, was proposed more than 45 years ago by B.~Mandelbrot. The empirical findings give support to the use of such alternative models. Nevertheless, up to now these models could not be used to value financial assets, as they are not free of arbitrage. We propose an approach which makes it possible to value financial assets in an arbitrage free way, even in the framework of fractal models, by properly taking transaction costs into account. Our approach is based on utility theory. We also propose to control the risk of the related hedging strategies by imposing bounds in terms of risk measures. This allows for more realistic financial modelling with special emphasis on the aspect of the residual risk, remaining after hedging. From a mathematical point of view, our approach is based on the duality theory of infinite-dimensional optimization.

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