Kalibrierung - Markov-Projektion zur Kalibrierung der Volatilität
Vladimir Piterbarg erläutert die grundsätzlich auf jedes (Diffusions) Modell anwendbare "Markov-Projektionsmethode", mit der in geschlossener Form Approximationen an Preise europäischer Optionen auf verschiedene Basiswerte möglich sind. Hier wird eine nachvollziehbare Zusammenfassung der wesentlichen methodischen Aspekte präsentiert, der jeder folgen kann, der Approximationen an europäische Optionen durchführen will
Europäische Optionen sind meist die liquidesten am Markt verfügbaren Optionen. Sie sind tendenziell die einzigen, die für die Verwendung zur Modell-Kalibrierung ausreichend liquid sind. Daher muss jedes Modell der kritischen Anforderung gerecht werden, effiziente Methoden für die Bewertung europäischer Optionen zu liefern. Mit der Markov-Projektionsmethode entwickelt dieser Artikel einen sehr allgemeinen und leistungsstarken Ansatz zur Ableitung genauer Approximationen der Preise für europäische
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