Systematics of Advanced Capital Market Models based on Empirical Research
AbstractThe complex blue prints of ODE and PDE based capital market models remain closed to systematic review. Particularly, when some authors of mathematical models can not or may not offer explicit solutions. Artificially generated 'cloned' courses can demonstrate the impact of various types of stochastic volatility in these cases. The Black and Scholes formula has the disadvantage that its key variable, the (future) volatility. is not known. In fact, what is known is that the volatility is volatile itself and the assumption of a stable volatility is violated. The socalled advanced models try to model the stochastic volatility. However, this still implies assumptions how a particular volatility may (or may not) develope until a given point of time. An analysis of key indexes shows stochastic properties difficult to cover in mathematical models yet being still interesting.
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Bibliographic InfoPaper provided by EconWPA in its series International Finance with number 0512003.
Length: 28 pages
Date of creation: 14 Dec 2005
Date of revision:
Note: Type of Document - pdf; pages: 28. First Systematics of advanced Capital Market Models
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Model Systematics; Black Scholes; fair value; option pricing; mispricing; artificially generated 'cloned' quotations; stochastic volalatility; mean reversion; test methods; testing capital market models; experimental economical research; ODE; PDE; hyperbolic; index particularities;
Find related papers by JEL classification:
- F3 - International Economics - - International Finance
- F4 - International Economics - - Macroeconomic Aspects of International Trade and Finance
This paper has been announced in the following NEP Reports:
- NEP-ALL-2005-12-20 (All new papers)
- NEP-CFN-2005-12-20 (Corporate Finance)
- NEP-FMK-2005-12-20 (Financial Markets)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Bollerslev, Tim & Engle, Robert F. & Nelson, Daniel B., 1986. "Arch models," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 49, pages 2959-3038 Elsevier.
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