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Large-volatility dynamics in financial markets
Large-volatility dynamics financial markets
2010/10/18
We investigate the large-volatility dynamics in financial markets, based on the minutely and daily data of the Chinese Indices and German DAX. The dynamic relaxation both before and after large volati...
A new space-time model for volatility clustering in the financial market
space-time model volatility clustering financial market
2010/10/18
A new space-time model for interacting agents on the financial market is presented. It is a combination of the Curie-Weiss model and a space-time model introduced by J\"arpe 2005. Properties of the m...
Extra-Dimensional Approach to Option Pricing and Stochastic Volatility
Extra-Dimensional Option Pricing Stochastic Volatility
2010/10/18
The generalized 5D Black-Scholes differential equation with stochastic volatility is derived. The projections of the stochastic evolutions associated with the random variables from an enlarged space o...
Finite-size effect and the components of multifractality in financial volatility
Finite-size effect components of multifractality financial volatility
2010/11/3
Many financial variables are found to exhibit multifractal nature, which is usually attributed
to the influence of temporal correlations and fat-tailedness in the probability distribution (PDF).Based...
Regime Switching Volatility Calibration by the Baum-Welch Method
Regime switching stochastic volatility calibration Hamilton filter Baum-Welch
2010/10/29
Regime switching volatility models provide a tractable method of modelling stochastic volatility. Currently the most popular method of regime switching calibration is the Hamilton filter. We propose u...
Asymptotic formulae for implied volatility in the Heston model
Asymptotic formulae implied volatility Heston model
2010/11/2
In this paper we prove an approximate formula expressed in terms of elementary functions for the implied volatility in the Heston model. The formula consists of the constant and first order terms in t...
A Review of Volatility and Option Pricing
Option pricing volatility models risk neutral valuation empirical volatility
2010/10/29
The literature on volatility modelling and option pricing is a large and diverse area due to its importance and applications. This paper provides a review of the most significant volatility models and...
Scaling and memory in the return intervals of realized volatility
Econophysics Realized volatility Return interval Scaling Long memory
2010/10/29
We performreturn interval analysis of 1-min realized volatility defined by the sum of absolute high-frequency intraday returns for the Shanghai Stock Exchange Composite Index (SSEC) and 22 constituent...
Asymptotic Behavior of the Stock Price Distribution Density and Implied Volatility in Stochastic Volatility Models
true martingales one-dimensional diffusions separating times financial bubbles
2010/11/1
The stochastic exponential Zt = exp{Mt − M0 − (1/2)hM,Mit} of a continuous local martingale M is itself a continuous local martingale. We give a necessary and sufficient condition for the ...
Probabilistic representations of the density function of the asset price and of vanilla options in linear stochastic volatility models
Probabilistic representations asset price linear stochastic volatility models
2010/11/2
Probabilistic representations of the density function of the asset price and of vanilla options in linear stochastic volatility models。
Volatility derivatives in market models with jumps
Volatility derivatives market models with jumps
2010/11/1
It is well documented that a model for the underlying asset price process that seeks to capture the behaviour of the market prices of vanilla options needs to exhibit both diffusion and jump features....
High order discretization schemes for stochastic volatility models
High order discretization schemes stochastic volatility models
2010/11/2
In usual stochastic volatility models, the process driving the volatility of the asset price evolves accord-ing to an autonomous one-dimensional stochastic differential equation. We assume that the co...
In the first quarter of 2006 Chicago Board Options Exchange (CBOE) introduced, as
one of the listed products, options on its implied volatility index (VIX). This created the challenge of developing a...
Generalized pricing formulas for stochastic volatility jump diffusion models applied to the exponential Vasicek model
pricing formulas diffusion models the exponential Vasicek model
2010/12/13
Path integral techniques for the pricing of financial options are mostly based on models that can be recast in terms of a Fokker-Planck differential equation and that, consequently, neglect jumps and...
Scaling and Memory Effect in Volatility Return Interval of the Chinese Stock Market
Scaling Memory Effect Volatility Return Interval Chinese Stock Market
2010/12/20
We investigate the probability distribution of the volatility return intervals $\tau$ for the Chinese stock market. We rescale both the probability distribution $P_{q}(\tau)$ and the volatility return...