Dynamic Spanning: Are Options an Appropriate Instrument?
Ross (1976) has shown, in a static framework, how options can complete financial markets. This paper examines the possible extensions of Ross's idea in a dynamic setup. Surprisingly enough, we find that the answer is very sensitive to the choice of the stochastic model for the underlying security returns. More specifically we obtain the following results: In a discrete-time model, classical European options typically become redundant with some probability (Proposition 2.1). Obnly path dependent ("exotic") options may generate dynamic spanning (Proposition 4.1). In a continuous-time model with stochastic volatility of the underlying security, and under reasonable assumptions, a European option is "always" a good instrument for completing markets (Proposition 5.2). Copyright 1996 Blackwell Publishers.
(This abstract was borrowed from another version of this item.)
1. Check below under "Related research" whether another version of this item is available online.
2. Check on the provider's web page whether it is in fact available.
3. Perform a search for a similarly titled item that would be available.
|Date of creation:||1994|
|Date of revision:|
|Contact details of provider:|| Postal: GREMAQ, Universite de Toulouse I Place Anatole France 31042 - Toulouse CEDEX France.|
Fax: 05 61 22 55 63
Web page: http://www-gremaq.univ-tlse1.fr/
More information through EDIRC
When requesting a correction, please mention this item's handle: RePEc:fth:gremaq:94.329. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Thomas Krichel)
If references are entirely missing, you can add them using this form.