Arbeitspapier

Consistent pricing and hedging volatility derivatives with two volatility surfaces

Using the joint characteristic function of equity price and state variables, we can price contingent claims on both equity and VIX consistently. Based on linear approximation of jump size, we show that one factor models implies all VIX future contract of different maturities are perfectly correlated in contrast to market observations. In the examples of multi-factor model, we demonstrate how to calculate the optimal hedging ratio for VIX future to hedge VIX option. We derived the unconditional correlation term structure of VIX future implied by the model based on the stationary distribution of state variables. We show multifactor models that are calibrated to the two voaltility surfaces will produce very different hedge ratios for VIX options.

Sprache
Englisch

Erschienen in
Series: Manchester Business School Working Paper ; No. 635

Klassifikation
Wirtschaft
Asset Pricing; Trading Volume; Bond Interest Rates
Contingent Pricing; Futures Pricing; option pricing
Thema
SPX Volatility Surface
VIX Volatility Surface
VIX Futures
VIX Options
Hedge Ratio

Ereignis
Geistige Schöpfung
(wer)
Chen, Ke
Poon, Ser-Huang
Ereignis
Veröffentlichung
(wer)
The University of Manchester, Manchester Business School
(wo)
Manchester
(wann)
2013

Handle
Letzte Aktualisierung
10.03.2025, 11:47 MEZ

Datenpartner

Dieses Objekt wird bereitgestellt von:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.

Objekttyp

  • Arbeitspapier

Beteiligte

  • Chen, Ke
  • Poon, Ser-Huang
  • The University of Manchester, Manchester Business School

Entstanden

  • 2013

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