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Heston model

FX Smile in the Heston Model

FX Smile in the Heston Model

... The Heston model stands out from this class mainly for two ...the model to market prices and is the greatest advantage of the model over other (potentially more realistic) SV ...the ...

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Markovian projection to a Displaced Volatility Heston model

Markovian projection to a Displaced Volatility Heston model

... Below, we present the results table, where we compare Black implied volatilities of European option prices for a large set of maturities and strikes. The strikes are presented in percentage of forward values, 100% strike ...

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Probability distribution of returns in Heston model for index prices of FTSE Bursa Malaysia KLCI

Probability distribution of returns in Heston model for index prices of FTSE Bursa Malaysia KLCI

... This study focuses on estimation of the probability distribution of log returns in the Heston model by using empirical data. In this study, the index prices of FTSE Bursa Malaysia KLCI were collected from ...

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Valuing a European option with the Heston model

Valuing a European option with the Heston model

... This chapter is going to test the Heston model by contrasting results with the Black-Scholes equation, in order to see which method is superior. Many effects are related to the time-series dynamics of ...

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Optimal dynamic mean variance asset liability management under the Heston model

Optimal dynamic mean variance asset liability management under the Heston model

... This paper studies a continuous-time mean-variance asset-liability management problem under the Heston model. Specifically, an asset-liability manager is allowed to invest in a risk-free asset and a risky ...

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Uncertainty quantification and Heston model

Uncertainty quantification and Heston model

... the Heston model will be introduced ...the model parameters to the output, the nonintrusive Stochastic Collo- cation Method [12] is used as it has the attractive advantage of treating an existing ...

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On The Heston Model with Stochastic Interest Rates

On The Heston Model with Stochastic Interest Rates

... hybrid model was presented which could provide a skew pattern for the equity and included a stochastic (but uncorrelated) interest rate ...the Heston [Heston-1993] stochastic volatility model ...

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Optimal Investment Strategy for Defined Contribution Pension Scheme under the  Heston Volatility Model

Optimal Investment Strategy for Defined Contribution Pension Scheme under the Heston Volatility Model

... (DC) model is a pension model that has predeter- mined contribution from the Pension Plan Participant (PPP) and the benefit to the PPP depends on the return on investment of the pension ...the Heston ...

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Malliavin differentiability of the Heston volatility and applications to option pricing

Malliavin differentiability of the Heston volatility and applications to option pricing

... the Heston volatility and a new approximative option pricing formula for the Heston model as well as a precise analysis of the goodness of this ...the Heston volatility, while in Section 3 we ...

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A NOVEL PRICING METHOD FOR EUROPEAN OPTIONS BASED ON FOURIER COSINE SERIES EXPANSIONS

A NOVEL PRICING METHOD FOR EUROPEAN OPTIONS BASED ON FOURIER COSINE SERIES EXPANSIONS

... Note the very different values of N , that the two methods require for satisfactory convergence. All cpu times are given in milli-seconds. The COS method appears to be approximately a factor 20 faster than the Carr-Madan ...

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Density forecast comparisons for stock prices, obtained from high frequency returns and daily option prices

Density forecast comparisons for stock prices, obtained from high frequency returns and daily option prices

... the Heston model we can observe from the figure that there are relatively few observations 𝑢 close to either zero or one; only ...the Heston curve may be explained by the fact that the historical ...

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Analytic Approximation of Finite Maturity Timer Option Prices

Analytic Approximation of Finite Maturity Timer Option Prices

... Tables 5 and 6 report the performance of our approximation under the Heston model with nonzero correlation for finite-maturity timer call and put options, respectively. The parameters used are still the ...

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Early exercise premium method for pricing American options under the J-model

Early exercise premium method for pricing American options under the J-model

... J-am model with parameters λ = − ...the Heston model related to the parameters (κ = 2; φ = ...by Heston for a value of v = ...and Heston ’ s model enables us to examine the ...

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An Equity Interest Rate Hybrid Model With Stochastic Volatility and the Interest Rate Smile

An Equity Interest Rate Hybrid Model With Stochastic Volatility and the Interest Rate Smile

... the Heston equity model [Hes93] with deterministic interest rates has established itself as one of the benchmark models for pricing equity ...the Heston model is rather harmless when equity ...

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Asymptotic skew under stochastic volatility

Asymptotic skew under stochastic volatility

... Antoine Jacquier† Birkbeck College, University of London Zeliade Systems January 2007 Keywords : Implied volatility, saddlepoint, Eigenvalue equation, Heston model, stochastic volatility[r] ...

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MODELING AND SIMULATION OF GRID CONNECTED PHOTOVOLTAIC DISTRIBUTED GENERATION 
SYSTEM

MODELING AND SIMULATION OF GRID CONNECTED PHOTOVOLTAIC DISTRIBUTED GENERATION SYSTEM

... This paper is organized as follows. Section 2 introduces the basics of fuzzy sets theory and the transformation from a probability distribution to its possibility distribution. With this transformation, we transform a ...

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Derivatives Pricing on Integrated Diffusion Processes: A General Perturbation Approach

Derivatives Pricing on Integrated Diffusion Processes: A General Perturbation Approach

... The approach has several limitations which we acknowledge here. It cannot handle time- varying drift and diffusion functions right now. It also cannot handle jumps. It also requires that the diffusion coefficient be ...

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The Business Intelligence as a Service in the Cloud

The Business Intelligence as a Service in the Cloud

... the Heston Model, which uses stochastic differential equations to model complex financial parameters and ...the Heston Model can compute risk and track volatility in the form of the ...

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Existence and Uniqueness Solution Under Non-Lipschiz Condition of the Mixed Fractional Heston's Model

Existence and Uniqueness Solution Under Non-Lipschiz Condition of the Mixed Fractional Heston's Model

... of Heston model in which the volatility Brownian and price Brownian are replaced by mixed fractional Brownian motion with the Hurst parameter H ∈ ( 3 4 , 1) so that the model exhibits the long range ...

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The Hydra model   a model for what?

The Hydra model a model for what?

... We applied the principle of lateral inhibition in modified form to pattern formation in the course of development, now of course with molecules interacting and moving instead of neurons firing. Our theory demonstrates ...

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