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Risk neutral densities (RND) can be used to forecast the price of the underlying basis for the option, or it may be used to price other derivates based on the same sequence. The method adopted in this paper to calculate the RND is to firts estimate daily the diffusion process of the underlying...
Persistent link: https://www.econbiz.de/10011431367
Persistent link: https://www.econbiz.de/10012991281
We derive analytic series representations for European option prices in polynomial stochastic volatility models. This …
Persistent link: https://www.econbiz.de/10011870651
This paper proposes an improved procedure for stochastic volatility model estimation with an application to Value … components: Fourier transform method for volatility estimation, and importance sampling for extreme event probability estimation …
Persistent link: https://www.econbiz.de/10013088465
We develop a new efficient and analytically tractable method for estimation of parametric volatility models that is …-day data into the Realized Laplace Transform of volatility, which is a model-free and jump-robust estimate of daily integrated … empirical Laplace transform of the unobservable volatility. The estimation then is done by matching moments of the integrated …
Persistent link: https://www.econbiz.de/10013137409
We propose different schemes for option hedging when asset returns are modeled using a general class of GARCH models. More specifically, we implement local risk minimization and a minimum variance hedge approximation based on an extended Girsanov principle that generalizes Duan's (1995) delta...
Persistent link: https://www.econbiz.de/10013065375
We describe a broad setting under which, for European options, if the underlying asset form a geometric random walk then, the error with respect to the Black-Scholes model converges to zero at a speed of 1/n for continuous payoffs functions, and at a speed of 1/√n for discontinuous payoffs...
Persistent link: https://www.econbiz.de/10012998163
approximation to provide an improved swaption volatility approximation, and compare this to the approaches of Rebonato, Hull …
Persistent link: https://www.econbiz.de/10012835181
In this paper we propose a maximum entropy estimator for the asymptotic distribution of the hedging error for options. Perfect replication of financial derivatives is not possible, due to market incompleteness and discrete-time hedging. We derive the asymptotic hedging error for options under a...
Persistent link: https://www.econbiz.de/10012484861
The article describes a global and arbitrage-free parametrization of the eSSVI surfaces introduced by Hendriks and Martini in 2019. A robust calibration of such surfaces has already been proposed by the quantitative research team at Zeliade in 2019, but it is sequential in expiries and lacks of...
Persistent link: https://www.econbiz.de/10013292792