Searched for: author%3A%22Grzelak%2C+L.A.%22
(1 - 14 of 14)
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van der Stoep, A.W. (author), Grzelak, L.A. (author), Oosterlee, C.W. (author)
We discuss a competitive alternative to stochastic local volatility models, namely the Collocating Volatility (CV) framework, introduced in [L. A. Grzelak (2019) The CLV framework-A fresh look at efficient pricing with smile, International Journal of Computer Mathematics 96 (11), 2209-2228]. The CV framework consists of two elements, a ...
journal article 2020
document
Liu, S. (author), Borovykh, Anastasia (author), Grzelak, L.A. (author), Oosterlee, C.W. (author)
A data-driven approach called CaNN (Calibration Neural Network) is proposed to calibrate financial asset price models using an Artificial Neural Network (ANN). Determining optimal values of the model parameters is formulated as training hidden neurons within a machine learning framework, based on available financial option prices. The...
journal article 2019
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Suárez-Taboada, María (author), Witteveen, Jeroen A.S. (author), Grzelak, L.A. (author), Oosterlee, C.W. (author)
In this paper, we study the impact of the parameters involved in Heston model by means of Uncertainty Quantification. The Stochastic Collocation Method already used for example in computational fluid dynamics, has been applied throughout this work in order to compute the propagation of the uncertainty from the parameters of the model to the...
journal article 2018
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Grzelak, L.A. (author), Witteveen, J.A.S. (author), Oosterlee, C.W. (author), Suárez-Taboada, M. (author)
In this article, we propose an efficient approach for inverting computationally expensive cumulative distribution functions. A collocation method, called the Stochastic Collocation Monte Carlo sampler (SCMC sampler), within a polynomial chaos expansion framework, allows us the generation of any number of Monte Carlo samples based on only a...
journal article 2018
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van der Stoep, A.W. (author), Grzelak, L.A. (author), Oosterlee, C.W. (author)
We present in a Monte Carlo simulation framework, a novel approach for the evaluation of hybrid local volatility [Risk, 1994, 7, 18–20], [Int. J. Theor. Appl. Finance, 1998, 1, 61–110] models. In particular, we consider the stochastic local volatility model—see e.g. Lipton et al. [Quant. Finance, 2014, 14, 1899–1922], Piterbarg [Risk, 2007,...
journal article 2017
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Leitao Rodriguez, A. (author), Grzelak, L.A. (author), Oosterlee, C.W. (author)
In this paper, we will present a multiple time step Monte Carlo simulation technique for pricing options under the Stochastic Alpha Beta Rho model. The proposed method is an extension of the one time step Monte Carlo method that we proposed in an accompanying paper Leitao et al. [Appl. Math. Comput. 2017, 293, 461–479], for pricing European...
journal article 2017
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Grzelak, L.A. (author)
Modelling derivative products in Finance usually starts with the specification of a system of Stochastic Differential Equations (SDEs), that corresponds to state variables like stock, interest rate, Foreign Exchange (FX) rate and volatility. By correlating the SDEs for the different asset classes one can define the hybrid models, and use them...
doctoral thesis 2011
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Grzelak, L.A. (author), Oosterlee, C.W. (author)
We construct multi-currency models with stochastic volatility and correlated stochastic interest rates with a full matrix of correlations. We first deal with a foreign exchange (FX) model of Heston-type, in which the domestic and foreign interest rates are generated by the short-rate process of Hull-White [HW96]. We then extend the framework by...
report 2010
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Zhang, B. (author), Grzelak, L.A. (author), Oosterlee, C.W. (author)
We analyze the efficiency properties of a numerical pricing method based on Fourier-cosine expansions for early-exercise options. We focus on variants of Schwartz’ model [20] based on a mean reverting Ornstein-Uhlenbeck process [23], which is commonly used for modeling commodity prices. This process however does not possess favorable properties...
report 2010
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Grzelak, L.A. (author), Oosterlee, C.W. (author)
We define an equity-interest rate hybrid model in which the equity part is driven by the Heston stochastic volatility [Hes93], and the interest rate (IR) is generated by the displaced-diffusion stochastic volatility Libor Market Model [AA02]. We assume a non-zero correlation between the main processes. By an appropriate change of measure the...
report 2010
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Grzelak, L.A. (author), Oosterlee, C.W. (author), Van Weeren, S. (author)
report 2009
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Grzelak, L.A. (author), Oosterlee, C.W. (author)
report 2009
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Grzelak, L.A. (author), Borovykh, N. (author), Van Weeren, S. (author), Oosterlee, C.W. (author)
report 2008
document
Grzelak, L.A. (author), Oosterlee, C.W. (author), Van Weeren, S. (author)
report 2008
Searched for: author%3A%22Grzelak%2C+L.A.%22
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