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On the Infeasability of the Heston Model

SSRN Electronic Journal, 2020
Heston (1993) is among the progenitors in the literature regarding option pricing under stochastic volatility. This paper seeks to show that, under his own assumptions, Heston's results are less general than previously believed.
openaire   +1 more source

Heston Model: The Variance Swap Calibration

SSRN Electronic Journal, 2013
This paper proposes an alternative methodology to derive starting values for parameters of the Heston model. The term structure of variance swap prices is inferred from the option price surface by means of the spanning option payoff formula given by \textit{D. T. Breeden} and \textit{R. H.
Florence Guillaume, Wim Schoutens
openaire   +2 more sources

A fractional Heston model with

Stochastics, 2016
We present a modification of the classical Heston model, where the volatility process is defined by means of a fractional integration of a diffusion process. Our construction allows us to easily compute a martingale representation for the volatility process.
Elisa Alòs, Yan Yang
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Complex Logarithms in Heston-Like Models

SSRN Electronic Journal, 2008
Summary: The characteristic functions of many affine jump-diffusion models, such as Heston's stochastic volatility model and all of its extensions, involve multivalued functions such as the complex logarithm. If we restrict the logarithm to its principal branch, as is done in most software packages, the characteristic function can become discontinuous,
Lord, Roger, Kahl, Christian
openaire   +1 more source

Markovian projection onto a Heston model

The Journal of Computational Finance, 2007
We develop a systematic approach to the reduction of dimensionality of smile-enabled models by projecting them onto a displaced version of the two-dimensional Heston process. The projection is the key for deriving efficient, analytical approximations to European option prices in such models.
Alexandre Antonov   +2 more
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Bayesian inference for Heston-STAR models

Statistics and Computing, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Osnat Stramer   +2 more
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On Singularities in the Heston Model

SSRN Electronic Journal, 2007
In this note we provide characterization of the singularities of the Heston characteristic function. In particular, we show that all the singularities are pure imaginary.
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Calibrating the Heston Model with Differential Evolution

2010
Calibrating option pricing models to market prices often leads to optimisation problems to which standard methods (like such based on gradients) cannot be applied. We investigate one particular example, Heston's stochastic volatility model. We discuss how to price options under this model, and how to calibrate the parameters of the model with a ...
Manfred Gilli, Enrico Schumann
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Efficient Pricing and Reliable Calibration in the Heston Model

SSRN Electronic Journal, 2012
We suggest a general scheme for improvement of FT-pricing formulas for European options and give efficient recommendations for the choice of the parameters of the numerical scheme, which allow for very accurate and fast calculations. The efficiency of the method stems from the properties of functions analytical in a strip, which were introduced to ...
openaire   +3 more sources

Merton’s portfolio problem under Volterra Heston model

Finance Research Letters, 2021
Hoi Ying Wong, Bingyan Han
exaly  

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