Theory of rational option pricing

Abstract

AbstractThe following sections are included:IntroductionRestrictions on rational option pricingEffects of dividends and changing exercise priceRestrictions on rational put option oricinaRational option pricing along Black-Scholes linesAn alternative derivation of the Black-Scholes modelExtension of the model to include dividend payments and exercise price changesValuing an American put optionValuing the “down and-out” call optionValuing a callable warrantAppendix 1Appendix 2Referencesdiscussion: Option Pricing Theory and Its ApplicationsINTRODUCTIONTHE MARTINGALE APPROACH TO OPTION PRICINGThe SetupDynamic Spanning and the Martingale Representation TheoremSome GeneralizationsEXISTENCE AND PROPERTIES OF OPTIMAL STRATEGIESAPPLICATIONS TO CONTINGENT-CLAIM PRICINGNOTESREFERENCES