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continuous time extension of the discrete time EGARCH(p, q) process. We investigate stationarity and moment properties of the new …
Persistent link: https://www.econbiz.de/10010274233
The paper builds a Variance-Gamma (VG) model with five parameters: location (μ), symmetry (δ), volatility (σ), shape (»), and scale (θ); and studies its application to the pricing of European options. The results of our analysis show that the five-parameter VG model is a stochastic...
Persistent link: https://www.econbiz.de/10014332830
We suggest moment estimators for the parameters of a continuous time GARCH(1,1) process based on equally spaced observations. Using the fact that the increments of the COGARCH(1,1) process are ergodic, the resulting estimators are consistent. We investigate the quality of our estimators in a...
Persistent link: https://www.econbiz.de/10010332972
We consider several market models, where time is subordinated to a stochastic process. These models are based on various time changes in the Lévy processes driving asset returns, or on fractional extensions of the diffusion equation; they were introduced to capture complex phenomena such as...
Persistent link: https://www.econbiz.de/10013200657
This paper proposes the sample path generation method for the stochastic volatility version of the CGMY process. We present the Monte-Carlo method for European and American option pricing with the sample path generation and calibrate model parameters to the American style S&P 100 index options...
Persistent link: https://www.econbiz.de/10012611634
Persistent link: https://www.econbiz.de/10014497566
It is shown that moments of negative order as well as positive non- integral order of a nonnegative random variable X can be expressed by the Laplace transform of X. Applying these results of certain first passage times gives explicit formulae for moments of suprema of Bessel processes as well...
Persistent link: https://www.econbiz.de/10010263064
A Lévy process is observed at time points of distance delta until time T. We construct an estimator of the Lévy-Khinchine characteristics of the process and derive optimal rates of convergence simultaneously in T and delta. Thereby, we encompass the usual low- and high-frequency assumptions...
Persistent link: https://www.econbiz.de/10010270819
Empirical volatility changes in time and exhibits tails, which are heavier than normal. Moreover, empirical volatility has - sometimes quite substantial - upwards jumps and clusters on high levels. We investigate classical and nonclassical stochastic volatility models with respect to their...
Persistent link: https://www.econbiz.de/10010275679
We study a mixed hitting-time (MHT) model that specifies durations as the first time a Lévy process— a continuous-time process with stationary and independent increments— crosses a heterogeneous threshold. Such models are of substantial interest because they can be reduced from...
Persistent link: https://www.econbiz.de/10010325216