搜索结果: 1-15 共查到“stochastic volatility models”相关记录30条 . 查询时间(0.046 秒)
The Exact Smile of some Local Stochastic Volatility Models
CEV local volatility stochastic volatility implied volatility.
2012/9/14
We introduce a class of local stochastic volatility models.Within our framework, we obtain an expression for both (i) the price of any European option and (ii) the induced implied volatility smile. To...
Pricing joint claims on an asset and its realized variance under stochastic volatility models
Volatility derivatives stochastic volatility models partial differential equations parabolic equations target volatility option.
2012/9/14
In a stochastic volatility framework, we find a general pricing equation for the class of payoffs depending on the terminal value of a market asset and its final quadratic variation. This allows a pri...
New solvable stochastic volatility models for pricing volatility derivatives
New solvable stochastic volatility models pricing volatility derivatives Pricing of Securities
2012/6/5
Classical solvable stochastic volatility models (SVM) use a CEV process for instantaneous variance where the CEV parameter $\gamma$ takes just few values: 0 - the Ornstein-Uhlenbeck process, 1/2 - the...
Maximum likelihood approach for several stochastic volatility models
Maximum likelihood approach several stochastic volatility models Computational Finance
2012/4/28
Volatility measures the amplitude of price fluctuations. Despite it is one of the most important quantities in finance, volatility is not directly observable. Here we apply a maximum likelihood method...
A Linear Relationship between Market Prices of Risks and Risk Aversion in Complete Stochastic Volatility Models
von-Neumann Morgenstern utility asset risk linear combination
2011/4/2
Considering a production economy with an arbitrary von-Neumann Morgenstern utility, this paper derives a general equilibrium relationship between the market prices of risks and market risk aversion un...
On Calibrating Stochastic Volatility Models with time-dependent Parameters
Calibrating Stochastic Volatility Models time-dependent Parameters
2010/10/22
We consider stochastic volatility models using piecewise constant parameters. We suggest a hybrid optimization algorithm for fitting the models to a volatility surface and provide some numerical resu...
Arbitrage Opportunities in Misspecified Stochastic volatility Models
stochastic volatility model misspecification volatility arbitrage
2010/10/18
There is vast empirical evidence that given a set of assumptions on the real-world dynamics of an asset, the European options on this asset are not efficiently priced in options markets, giving rise t...
On dependence of the implied volatility on returns for stochastic volatility models
stochastic volatility the Heston model
2010/10/21
We study the dependence of volatility on the stock price in the stochastic volatility framework on the example of the Heston model.To be more specific, we consider the conditional expectation of vari...
Small-time asymptotics for fast mean-reverting stochastic volatility models
Small-time asymptotics fast mean-reverting stochastic volatility models
2010/10/21
In this paper, we study stochastic volatility models in regimes where the maturity is small but large compared to the mean-reversion time of the stochastic volatility factor. The problem falls in the...
A contribution to the systematics of stochastic volatility models
fluctuations econophysics stochastic differential equations
2010/10/21
We compare systematically several classes of stochastic volatility models of stock market fluctuations. We show that the long-time return distribution is either Gaussian or develops a power-law tail,...
Small-time asymptotics for fast mean-reverting stochastic volatility models
Stochastic volatility multi-scale asymptotic large deviation principle implied volatility smile/skew
2010/12/15
In this paper, we study stochastic volatility models in regimes where the maturity is small but large compared to the mean-reversion time of the stochastic volatility factor.
On dependence of the implied volatility on returns for stochastic volatility models
stochastic volatility the Heston model conditional expectation of variance
2010/12/16
We study the dependence of volatility on the stock price in the stochastic volatility framework on the example of the Heston model. To be more specific, we consider the conditional expectation of vari...
We consider a stochastic volatility model with L´evy jumps for a log-return pro-cess Z = (Zt)t≥0 of the form Z = U +X, where U = (Ut)t≥0 is a classical stochastic volatility process and X = (Xt)...
Valuation equations for stochastic volatility models
Valuation equations stochastic volatility models
2010/10/20
We study the valuation partial differential equation for European contingent claims in a general framework of stochastic volatility models. The standard Feynman-Kac theorem cannot be directly applied ...
Spectral Decomposition of Option Prices in Fast Mean-Reverting Stochastic Volatility Models
Spectral Decomposition Option Prices Fast Mean-Reverting Stochastic Volatility Models
2010/10/21
Using spectral decomposition techniques and singular perturbation theory, we develop a systematic method to approximate the prices of a variety of options in a fast mean-reverting stochastic volatilit...