The 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.
Download Info
To download:
If you experience problems downloading a file, check if you have the
proper application to
view it first. Information about this may be contained
in the File-Format links below. In case of further problems read
the IDEAS help
page. Note that these files are not on the IDEAS
site. Please be patient as the files may be large.
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: