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Browsing by Author "Belomestny, Denis"
Now showing items 1-14 of 14
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2006-04-26BuchA jump-diffusion Libor model and its robust calibration Belomestny, Denis; Schoenmakers, JohnIn this paper we propose a jump-diffusion Libor model with jumps in a high-dimensional space (Rm) and test a stable non-parametric calibration algorithm which takes into account a given local covariance structure. The ...
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2007-12-12BuchA stochastic volatility Libor model and its robust calibration Belomestny, Denis; Matthew, Stanley; Schoenmakers, JohnIn this paper we propose a Libor model with a high-dimensional specially structured system of driving CIR volatility processes. A stable calibration procedure which takes into account a given local correlation structure ...
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2006-04-28BuchAdaptive Simulation Algorithms for Pricing American and Bermudan Options by Local Analysis of Financial Market Belomestny, Denis; Milstein, GrigoriHere we develop an approach for efficient pricing discrete-time American and Bermudan options which employs the fact that such options are equivalent to the European ones with a consumption, combined with analysis of the ...
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2006-05-17BuchAn Iteration Procedure for Solving Integral Equations Related to Optimal Stopping Problems Belomestny, Denis; Gapeev, Pavel V.A new algorithm for finding value functions of finite horizon optimal stopping problems in one-dimensional diffusion models is presented. It is based on a time discretization of the corresponding integral equation. The ...
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2010-10-27BuchCentral limit theorems for law-invariant coherent risk measures Belomestny, Denis; Krätschmer, VolkerIn this paper we study the asymptotic properties of the canonical plug-in estimates for law-invariant coherent risk measures. Under rather mild conditions not relying on the explicit representation of the risk measure under ...
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2009-04-21BuchPricing Bermudan options using regression Belomestny, DenisThe problem of pricing Bermudan options using Monte Carlo and a nonparametric regression is considered. We derive optimal nonasymptotic bounds for a lower biased estimate based on the suboptimal stopping rule constructed ...
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2015-01-08BuchPricing Kernel Modeling Belomestny, Denis; Ma, Shujie; Härdle, Wolfgang KarlWe propose a new method to estimate the empirical pricing kernel based on option data. We estimate the pricing kernel nonparametrically by using the ratio of the risk-neutral density estimator and the subjective density ...
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2009-05-05BuchRegression methods for stochastic control problems and their convergence analysis Belomestny, Denis; Kolodko, Anastasia; Schoenmakers, JohnIn this paper we develop several regression algorithms for solving general stochastic optimal control problems via Monte Carlo. This type of algorithms is particularly useful for problems with a highdimensional state space ...
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2006-07-06BuchRegression methods in pricing American and Bermudan options using consumption processes Belomestny, Denis; Milstein, Grigori; Spokoiny, VladimirHere we develop methods for e±cient pricing multidimensional discrete-time American and Bermudan options by using regression based algorithms together with a new approach towards constructing upper bounds for the price of ...
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2007-08-01BuchSensitivities for Bermudan Options by Regression Methods Belomestny, Denis; Milstein, Grigori; Schoenmakers, JohnIn this article we propose several pathwise and finite difference based methods for calculating sensitivities of Bermudan options using regression methods and Monte Carlo simulation. These methods rely on conditional ...
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2006-04-28BuchSpatial aggregation of local likelihood estimates with applications to classification Belomestny, Denis; Spokoiny, VladimirThis paper presents a new method for spatially adaptive local likelihood estimation which applies to a broad class of nonparametric models, including the Gaussian, Poisson and binary response models. The main idea of ...
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2006-04-27BuchSpectral calibration of exponential Lévy Models [1] Belomestny, Denis; Reiß, MarkusWe investigate the problem of calibrating an exponential Lévy model based on market prices of vanilla options. We show that this inverse problem is in general severely ill-posed and we derive exact minimax rates of ...
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2006-04-28BuchSpectral calibration of exponential Lévy Models [2] Belomestny, Denis; Reiß, MarkusThe calibration of financial models has become rather important topic in recent years mainly because of the need to price increasingly complex options in a consistent way. The choice of the underlying model is crucial for ...
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2009-04-15BuchSpectral estimation of the fractional order of a Lévy process Belomestny, DenisWe consider the problem of estimating the fractional order of a L´evy process from low frequency historical and options data. An estimation methodology is developed which allows us to treat both estimation and calibration ...