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Hestons pricing formula for a stochastic volatility

An analytic pricing formula for lookback options under stochastic volatility

An analytic pricing formula for lookback options under stochastic volatility

... analytic pricing formula for floating strike lookback options under Heston’s stochastic volatility model is derived by means of the homotopy analysis ...

5

Pricing volatility derivatives with stochastic volatility

Pricing volatility derivatives with stochastic volatility

... the pricing of VIX futures and ...under stochastic volatility model with simultane- ous jumps in the asset price and volatility ...the pricing of VIX futures, we show that our exact ...

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Option Pricing with Stochastic Volatility

Option Pricing with Stochastic Volatility

... So from 33 we may note that for the Put options will be discounted only the process S T ( ) . Now to compute the value of the option is a problem because we have stochastic interest rate so the solution is to take ...

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Pricing derivatives with stochastic volatility

Pricing derivatives with stochastic volatility

... for pricing futures contract value in a short time ...the stochastic spot volatility that appears in the process of a convenience yield does not make ...

133

Pricing variance swaps with stochastic volatility

Pricing variance swaps with stochastic volatility

... mulae, stochastic volatility 1 Introduction Volatility and variance swaps are essentially forward con- tracts on annualized realized volatility or variance that provide an easy way for ...

8

Convertible Bond Pricing with Stochastic Volatility

Convertible Bond Pricing with Stochastic Volatility

... Schwartz pricing model is most likely to be a poor pricing model when the spot level of interest rates or volatility is unusually ...derivatives pricing are likely to use an interest rate that ...

95

Research Article A Generic Decomposition Formula for Pricing Vanilla Options under Stochastic Volatility Models

Research Article A Generic Decomposition Formula for Pricing Vanilla Options under Stochastic Volatility Models

... general stochastic volatility diffusion model, extending a previous decomposition formula for the Heston ...decomposition formula written in terms of the Malliavin derivative of the ...

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Solving asset pricing models with stochastic volatility

Solving asset pricing models with stochastic volatility

... asset pricing model with stochastic ...the stochastic volatility innova- tions can be drawn from any distribution for which the moment-generating function ...the stochastic ...

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Stochastic volatility models: calibration, pricing and hedging

Stochastic volatility models: calibration, pricing and hedging

... (d) Finally, the algorithm should converge to a model parameter set that minimises the cost function. This parameter set will be given as a vector output x. 4.3 Calibration Results Using Synthetic Data We turn our ...

161

Unspanned Stochastic Volatility and the Pricing of Commodity Derivatives

Unspanned Stochastic Volatility and the Pricing of Commodity Derivatives

... unspanned stochastic volatility in commodity markets in general and the crude-oil market in ...unspanned stochastic volatility in the crude-oil ...unobservable volatility – on futures ...

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Stochastic Volatility with Levy Processes: Calibration and Pricing

Stochastic Volatility with Levy Processes: Calibration and Pricing

... chastic volatility models or in stochastic skew models, it is in general inefficient or infeasible to apply the same numerical technique to different parts of the ...

135

The Pricing of Options with Jump Diffusion and Stochastic Volatility

The Pricing of Options with Jump Diffusion and Stochastic Volatility

... a stochastic volatility model based on GARCH(1,1) is developed to forecast the non-constant ...with stochastic volatility, are ...the pricing errors both visually and ...

165

Credit Derivative Pricing with Stochastic Volatility Models

Credit Derivative Pricing with Stochastic Volatility Models

... for pricing credit derivatives within the default- able Markovian HJM framework featuring unspanned stochastic ...dependent stochastic volatility specifications are proposed, such that the ...

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Exotic Options Pricing under Stochastic Volatility

Exotic Options Pricing under Stochastic Volatility

... propose pricing formulas for plain vanilla options on stocks within different stochastic volatility ...square-root volatility process by inverting the characteristic function seen as a Fourier ...

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Pricing in stochastic-local volatility models

with default

Pricing in stochastic-local volatility models with default

... option pricing have attracted an ever increasing interest in the last ...sophisticated pricing mod- els, including local, stochastic volatility that generally cannot be solved in ...local ...

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Stochastic volatility models and the pricing of VIX options

Stochastic volatility models and the pricing of VIX options

... option pricing model comes from using a stochastic volatility model that is statistically acceptable when compared with the ...the pricing PDE to canonical ...our pricing model to ...

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Asset Pricing Under Information with Stochastic Volatility

Asset Pricing Under Information with Stochastic Volatility

... actual volatility σ t. It also decreases when volatility of volatility v is increased for both pricing kernels, although for the standard pricing kernel the differences are very ...

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Unspanned Stochastic Volatility and the Pricing of Commodity Derivatives

Unspanned Stochastic Volatility and the Pricing of Commodity Derivatives

... two volatility factors are necessary to fit options on futures con- tracts across the maturity and moneyness ...Both volatility factors are predominantly unspanned by the futures contracts, and the first ...

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Pricing Currency Options Under Stochastic Volatility

Pricing Currency Options Under Stochastic Volatility

... implied volatility estimated by minimizing the sum of squared errors across six moneyness and three maturity ...implied volatility exhibits a smile pattern as shown in Figure 1, especially in the deep OTM ...

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A series-form solution for pricing variance and volatility swaps with stochastic volatility and stochastic interest rate

A series-form solution for pricing variance and volatility swaps with stochastic volatility and stochastic interest rate

... their formula is not analytical since it involves solving some ODEs (ordinary differential equations) when computing the price of any variance swap, which may lead to inaccuracy problems if numerical methods are ...

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