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Second Order Multiscale Stochastic Volatility Asymptotics: Stochastic Terminal Layer Analysis & Calibration
Second Order Multiscale Stochastic Volatility Asymptotics Stochastic Terminal Layer Analysis Calibration
2012/9/14
Multiscale stochastic volatility models have been developed as an efficient way to capture the principle effects on derivative pricing and portfolio optimization ofrandomly varying volatility. The rec...
Asymptotics for Exponential Levy Processes and their Volatility Smile: Survey and New Results
Exponential Levy processes short-time asymptotics long-time asymp-totics implied volatility Lewis-Lipton formula.
2012/9/14
Exponential Levy processes can be used to model the evolution of various nancial variables such as FX rates, stock prices, etc. Considerable e orts have been devoted to pricing derivatives written o...
Superreplication under Volatility Uncertainty for Measurable Claims
Volatility uncertainty Superreplication Nonlinear expectation
2012/9/14
We establish the duality-formula for the superreplicationprice in a setting of volatility uncertainty which includes the example of “random G-expectation.” In contrast to previous results, the conting...
Revisiting the fractional cointegrating dynamics of implied-realized volatility relation with wavelet band spectrum regression
wavelet band spectrum regression corridor implied volatility realized volatility fractional cointegration
2012/9/14
This paper revisits the fractional cointegrating relationship between ex-ante implied volatil-ity and ex-post realized volatility. We argue that the concept of corridor implied volatility (CIV) should...
Local L関y Models and their Volatility Smile
CEV L磂vy Local Volatility Implied Volatility Default
2012/9/14
We propose a class of equity models whose volatility, L磂vy measure, and killing rate all have local stochastic state-dependence. In this framework we find a closed form solution for the price of any E...
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...
A new look at short-term implied volatility in asset price models with jumps
exponential Levy models Blumenthal-Getoor index short-dated options implied volatility.
2012/9/14
We analyse the behaviour of the implied volatility smile for options close to expiry in the exponential Levy class of asset price models with jumps. We introduce a new renormalisation of the strike v...
The Exact Implied Volatility Smile for Exponential L関y Models
Implied Volatility Exponential L磂vy.
2012/9/14
For any exponential L磂vy model whose diffusion component isnonzero, we provide an exact series representation for the implied volatility of a European call option. Numerical examples are provided.
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...
We attempt to unveil the fine structure of volatility feedback effects in the context of general quadratic autoregressive (QARCH) models, which assume that today’s volatility can be expressed as a gen...
Stochastic Volatility with Heterogeneous Time Scales
Stochastic Volatility Long Memory Generalized Methods of Moments Econo-physics
2012/9/13
Agents' heterogeneity has been recognized as a driver mechanism for the persistence of nancial volatility. We focus on the multiplicity of investment strategies' horizons;we embed this concept in a c...
Approximating stochastic volatility by recombinant trees
American options stochastic volatility Heston model correlated random walk
2012/6/5
A general method to construct recombinant tree approximations for stochastic volatility models is developed and applied to the Heston model for stock price dynamics. In this application, the resulting...
The fractional volatility model: No-arbitrage, leverage and completeness
Fractional noise Arbitrage Incomplete market
2012/6/4
Based on a criterion of mathematical simplicity and consistency with empirical market data, a stochastic volatility model has been obtained with the volatility process driven by fractional noise. Depe...
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...
Realized Wavelet Jump-GARCH model: Can wavelet decomposition of volatility improve its forecasting?
wavelet decomposition jumps volatility forecasting Realized GARCH
2012/4/28
In this paper, we propose a forecasting model for volatility based on its decomposition to several investment horizons and jumps. As a forecasting tool, we utilize Realized GARCH framework of Hansen e...