Bitte verwenden Sie diesen Link, um diese Publikation zu zitieren, oder auf sie als Internetquelle zu verweisen: https://hdl.handle.net/10419/40175 
Erscheinungsjahr: 
2008
Schriftenreihe/Nr.: 
CPQF Working Paper Series No. 16
Verlag: 
Frankfurt School of Finance & Management, Centre for Practical Quantitative Finance (CPQF), Frankfurt a. M.
Zusammenfassung: 
We present a closed pricing formula for European options under the Black-Scholes model and formulas for its partial derivatives. The formulas are developed making use of Taylor series expansions and by expressing the spatial derivatives as expectations under special measures, as in Carr, together with an unusual change of measure technique that relies on the replacement of the initial condition. The closed formulas are attained for the case where no dividend payment policy is considered. Despite its small practical relevance, a digital dividend policy case is also considered which yields approximation formulas. The results are readily extensible to time dependent volatility models but no so for local-vol type models. For completeness, we reproduce the numerical results in Vellekoop and Nieuwenhuis using the formulas here obtained. The closed formulas presented here allow a fast calculation of prices or implied volatilities when compared with other valuation procedures that rely on numerical methods.
Schlagwörter: 
equity option
discrete dividend
hedging
analytic formula
Dokumentart: 
Working Paper

Datei(en):
Datei
Größe
617.18 kB





Publikationen in EconStor sind urheberrechtlich geschützt.