On the pricing of options under limited information
AbstractIn spite of the power of the Black & Scholes option pricing method, there are situations in which the hypothesis of a lognormal model is too restrictive. One possibility to deal with this problem, consists of a weaker hypothesis, fixing only successive moments and eventually the mode of the price process of a risky asset, and not the complete distribution. The consequence of this generalization is the fact that the option price is no longer a unique value, but a range of several possible values. We show how to find upper and lower bounds, resulting in a rather narrow range. We give results in case two moments, three moments, or two moments and the mode of the underlying price process are fixed.
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Bibliographic InfoPaper provided by University of Antwerp, Faculty of Applied Economics in its series Working Papers with number 2004004.
Length: 29 pages
Date of creation: Mar 2004
Date of revision:
This paper has been announced in the following NEP Reports:
- NEP-ALL-2005-01-02 (All new papers)
- NEP-CFN-2005-01-02 (Corporate Finance)
- NEP-FIN-2005-01-02 (Finance)
- NEP-RMG-2005-01-02 (Risk Management)
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