Název:
The arbitrage inconsistencies of implied volatility extraction in connection to calendar bandwidth
Autoři:
Vitali, Sebastiano ; Tichý, Tomáš ; Kopa, Miloš Typ dokumentu: Příspěvky z konference Konference/Akce: International Scientific Conference Financial management of firms and financial institutions Ostrava 2015 /10./, Ostrava (CZ), 2015-09-07 / 2015-09-08
Rok:
2015
Jazyk:
eng
Abstrakt: Options are often priced by Black and Scholes model by using artificial (and unobserved) volatility implied by option market prices. Since many options do not have their traded counterparts with the same maturity and moneyness, it is often needed to interpolate the volatility values. The general procedure of implied volatility extraction from market prices and subsequent smoothing can, however, lead to inconsistent values or even arbitrage opportunities. In this paper, a potential arbitrage area is studied in connection with the calendar bandwidth construction.
Klíčová slova:
arbitrage opportunity; bandwidth size; calendar bandwidth; implied volatility; Option pricing Číslo projektu: GA13-25911S (CEP) Poskytovatel projektu: GA ČR Zdrojový dokument: Proceedings of 10th International Scientific Conference Financial management of firms and financial institutions Ostrava, ISBN 978-80-248-3865-6