We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Option pricing impact of alternative continuous-time dynamics for discretely-observed stock prices.
- Authors
Brigo, Damiano; Mercurio, Fabio
- Abstract
Abstract. In the present paper we construct stock-price processes with the same marginal lognormal law as that of a geometric Brownian motion and also with the same transition density (and returns' distributions) between any two instants in a given discrete-time grid. We then illustrate how option prices based on such processes differ from Black and Scholes', in that option prices can assume any value in-between the no-arbitrage lower and upper bounds. We also explain that this is due to the particular way one models the stock-price process in between the grid time instants that are relevant for trading. The findings of the paper are inspired by a theoretical result, linking density-evolution of diffusion processes to exponential families. Such result is briefly reviewed in an appendix.
- Subjects
STOCK prices; WIENER processes; DISCRETE-time systems; OPTIONS (Finance)
- Publication
Finance & Stochastics, 2000, Vol 4, Issue 2, p147
- ISSN
0949-2984
- Publication type
Article
- DOI
10.1007/s007800050009