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Option pricing under Ornstein-Uhlenbeck stochastic volatility: a linear model
Econophysics Stochastic Volatility Monte Carlo Simulation Option Pricing Model Calibration
2010/11/1
We consider the problem of option pricing under stochastic volatility models, focusing on
the linear approximation of the two processes known as exponential Ornstein-Uhlenbeck
and Stein-Stein.
Leverage Causes Fat Tails and Clustered Volatility
systemic risk clustered volatility fat tails crash margin calls leverage
2010/11/2
We build a simple model of leveraged asset purchases with margin calls.Investment funds use what is perhaps the most basic nancial strategy,called \value investing", i.e. systematically attempting to...
Stochastic Volatility Models Including Open, Close, High and Low Prices
Stochastic Volatility Models Prices
2010/10/29
Mounting empirical evidence suggests that the observed extreme prices within a trading
period can provide valuable information about the volatility of the process within that period. In this paper we...
Moment Explosions and Long-Term Behavior of Affine Stochastic Volatility Models
Moment Explosions Long-Term Behavior Affine Stochastic Volatility Models
2010/12/13
We consider a class of asset pricing models, where the risk-neutral joint process of log-price and its stochastic variance is an affine process in the sense of Duffie, Filipovic and Schachermayer [20...
Superhedging and Dynamic Risk Measures under Volatility Uncertainty
Superhedging Dynamic Risk Measures
2010/12/13
We consider dynamic sublinear expectations (i.e., time-consistent coherent risk measures) whose scenario sets consist of singular measures corresponding to a general form of volatility uncertainty. W...
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...
Multivariate stochastic volatility using state space models
Multivariate stochastic volatility state space models
2010/12/13
A Bayesian procedure is developed for multivariate stochastic volatility, using state space models. An autoregressive model for the log-returns is employed. We generalize the inverted Wishart distrib...
Multivariate stochastic volatility with Bayesian dynamic linear models
Multivariate stochastic volatility Bayesian dynamic linear models
2010/12/13
This paper develops a Bayesian procedure for estimation and forecasting of the volatility of multivariate time series. The foundation of this work is the matrix-variate dynamic linear model, for the v...
Forecasting volatility with the multifractal random walk model
Forecasting volatility the multifractal random walk model
2010/12/13
We study the problem of forecasting volatility for the multifractal random walk model. In order to avoid the ill posed problem of estimating the correlation length T of the model, we introduce a limit...
Direct evidence for inversion formula in multifractal financial volatility measure
Direct evidence inversion formula multifractal financial volatility measure
2010/12/13
The inversion formula for conservative multifractal measures was unveiled mathematically a decade ago, which is however not well tested in real complex systems. In this Letter, we propose to verify th...
A path integral approach to closed-form option pricing formulas with applications to stochastic volatility and interest rate models
integral option pricing formulas applications stochastic volatility interest rate models
2010/12/20
We present a path integral method to derive closed-form solutions for option prices in a stochastic volatility model. The method is explained in detail for the pricing of a plain vanilla option. The f...
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...
Option pricing under stochastic volatility: the exponential Ornstein-Uhlenbeck model
Option pricing stochastic volatility exponential Ornstein-Uhlenbeck model
2010/12/17
We study the pricing problem for a European call option when the volatility of the underlying asset is random and follows the exponential Ornstein-Uhlenbeck model. The random diffusion model proposed ...
Determinants of volatility on international tourism demand for South Korea: an empirical note
international tourism Korea the leverage effects
2011/4/2
This article examines volatility and its determinants of international tourism demand for Korea. Based on the exponential generalized autoregressive heteroskedasticity model, some evidences are found ...
ARCH and GARCH Models vs. Martingale Volatility of Finance Market Returns
ARCH GARCH Models Martingale Volatility Finance Market Returns
2010/12/17
ARCH and GARCH models assume either i.i.d. or (what economists lable as) white noise as is usual in regression analysis while assuming memory in a conditional mean square fluctuation with stationary ...