A BNS-type stochastic volatility model with two-sided jumps, with applications to FX options pricing
Dokumenttyp:
Zeitschriftenaufsatz
Autor(en):
Bannör, K. F.; Scherer, M.
Nicht-TUM Koautoren:
nein
Kooperation:
-
Abstract:
We present an extension of the BNS stochastic volatility model, incorporating two- sided jumps in the asset price process. The characteristic function of the log-price process is computed, enabling us to calibrate efficiently to plain vanilla products by means of Fourier pricing methods. Finally, we present as an application of the two- sided BNS model the calibration to FX option prices, where a model with two-sided jumps is more suitable due to the symmetric nature of the FX markets. We find that the two-sided BNS model calibrates better to FX smiles than the classical BNS model with one-directional jumps, even in a setting with equal degrees of freedom.
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We present an extension of the BNS stochastic volatility model, incorporating two- sided jumps in the asset price process. The characteristic function of the log-price process is computed, enabling us to calibrate efficiently to plain vanilla products by means of Fourier pricing methods. Finally, we present as an application of the two- sided BNS model the calibration to FX option prices, where a model with two-sided jumps is more suitable due to the symmetric nature of the FX markets. We find t...
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Stichworte:
Barndorff-Nielsen-Shephard model, stochastic volatility model, two-sided jumps, Fourier pricing, FX rate modeling, FX options