We model the arrival of heterogeneous information in a financial market as a doubly-stochastic Poisson process (DSPP). A DSPP is a member of the family of Poisson processes in which the mean value of the process itself is governed by a stochastic mechanism. We explore the implications for pricing st...

Ausführliche Beschreibung

Bibliographische Detailangaben

Hauptverfasser:	Asea, Patrick K. (VerfasserIn), Ncube, Mthuli 1964- (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Cambridge, Mass. 1997
Schriftenreihe:	National Bureau of Economic Research <Cambridge, Mass.>: NBER working paper series 5950
Schlagworte:	Mathematisches Modell Information theory in finance Options (Finance) > Mathematical models
Online-Zugang:	Volltext
Zusammenfassung:	We model the arrival of heterogeneous information in a financial market as a doubly-stochastic Poisson process (DSPP). A DSPP is a member of the family of Poisson processes in which the mean value of the process itself is governed by a stochastic mechanism. We explore the implications for pricing stock, index and foreign currency options of the assumption that the under- lying security evolves as a mixed diffusion DSPP. We derive an intertemporal CAPM and demonstrate that accounting for heterogeneous information arrival may minimize the ubiquitous pricing bias 'smile-effect' of standard option pricing models. We propose a conceptually simple but numerically intensive maximum likelihood estimator of the parameters of a DSPP. A simulation study verifies the adequacy of the asymptotic approximations in finite samples.
Beschreibung:	35 S.