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搜索结果: 1-12 共查到理论经济学 volatility models相关记录12条 . 查询时间(0.073 秒)
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...
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...
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...
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...
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 show that in a large class of stochastic volatility models with additional skew-functions (local-stochastic volatility models) the tails of the cumulative distribution of the log-returns behave as...
We present a multivariate stochastic volatility model with leverage, which is flexible enough to recapture the individual dynamics as well as the interdependencies between several assets while still ...
We obtain new closed-form pricing formulas for contingent claims when the asset follows a Dupire-type local volatility model. To obtain the formulas we use the Dyson-Taylor commutator method that we h...
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
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...
We develop and implement a method for maximum likelihood estimation in closed-form of stochastic volatility models. Using Monte Carlo simulations, we compare a full likelihood procedure,where an optio...

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