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On the non-stationarity of financial time series: impact on optimal portfolio selection
non-stationarity of financial time series impact optimal portfolio selection Statistical Finance
2012/6/2
We investigate the possible drawbacks of employing the standard Pearson estimator to measure correlation coefficients between financial stocks in the presence of non-stationary behavior, and we provid...
Segmentation analysis on a multivariate time series of the foreign exchange rates
finite multivariate Gaussian mixture Jensen-Shannon divergence variance-covariance matrix cross-sectional analysis
2012/6/2
This study considers the multivariate segmentation procedure under the assumption of the multivariate Gaussian mixture. Jensen-Shannon divergence between two multivariate Gaussian distributions is emp...
Using high performance computing and Monte Carlo simulation for pricing american options
High performance computing NVidia CUDA GPGPU finance Monte Carlo American options
2012/6/5
High performance computing (HPC) is a very attractive and relatively new area of research, which gives promising results in many applications. In this paper HPC is used for pricing of American options...
The potential approach is a general and simple method for modelling interest rates, foreign exchange rates, and in principle other types of financial assets. This paper takes data on some liquid inter...
Record Statistics for Multiple Random Walks
Record Statistics Multiple Random Walks Statistical Finance
2012/4/28
We study the statistics of the number of records R_{n,N} for N identical and independent symmetric discrete-time random walks of n steps in one dimension, all starting at the origin at step 0. At each...
Optimal simulation schemes for Levy driven stochastic differential equations
Levy-driven stochastic differential equations high order discretization schemes weak approximation regular variation
2012/4/28
We consider a general class of high order weak approximation schemes for stochastic differential equations driven by L\'evy processes with infinite activity. These schemes combine a compound Poisson a...
Yield to maturity modelling and a Monte Carlo Technique for pricing Derivatives on Constant Maturity Treasury (CMT) and Derivatives on forward Bonds
interest rate bonds recovery rate survival probability hazard rate function yield to maturity CMS CMT
2012/4/28
This paper proposes a Monte Carlo technique for pricing the forward yield to maturity, when the volatility of the zero-coupon bond is known. We make the assumption of deterministic default intensity (...
On Pricing Basket Credit Default Swaps
Basket Credit Default Swaps Interacting Intensity Ordered Default Time Distribution Analytic Pricing Formula
2012/4/28
In this paper we propose a simple and efficient method to compute the ordered default time distributions in both the homogeneous case and the two-group heterogeneous case under the interacting intensi...
Bayesian logistic betting strategy against probability forecasting
exponential family game-theoretic probability Japan Meteorological Agency probability of precipitation strong law of large numbers
2012/4/28
We propose a betting strategy based on Bayesian logistic regression modeling for the probability forecasting game in the framework of game-theoretic probability by Shafer and Vovk (2001). We prove som...
Maximum likelihood approach for several stochastic volatility models
Maximum likelihood approach several stochastic volatility models Computational Finance
2012/4/28
Volatility measures the amplitude of price fluctuations. Despite it is one of the most important quantities in finance, volatility is not directly observable. Here we apply a maximum likelihood method...
Perturbative Expansion Technique for Non-linear FBSDEs with Interacting Particle Method
BSDE FBSDE Asymptotic Expansion Malliavin Derivative interacting particle method branching diffusion
2012/4/28
In this paper, we propose an efficient Monte Carlo implementation of non-linear FBSDEs as a system of interacting particles inspired by the ideas of branching diffusion method. It will be particularly...
Consistent single- and multi-step sampling of multivariate arrival times: A characterization of self-chaining copulas
Dependence Modeling Arrival Times Sampling Archimedean Copula Gumbel-Hougaard Copula Marshall-Olkin Copula
2012/4/28
This paper deals with dependence across marginally exponentially distributed arrival times, such as default times in financial modeling or inter-failure times in reliability theory. We explore the rel...
Description of the Operational Mechanics of a Basel Regulated Banking System
Operational Mechanics Basel Regulated Banking System Computational Finance
2012/4/28
This paper presents a description of the mechanical operations of banking as used in modern banking systems regulated under the Basel Accords, in order to provide support for a verifiable and complete...
Stochastic finite differences and multilevel Monte Carlo for a class of SPDEs in finance
Stochastic finite differences multilevel Monte Carlo class of SPDEs finance Computational Finance
2012/4/28
In this article, we propose a Milstein finite difference scheme for a stochastic partial differential equation (SPDE) describing a large particle system. We show, by means of Fourier analysis, that th...
Realized Wavelet Jump-GARCH model: Can wavelet decomposition of volatility improve its forecasting?
wavelet decomposition jumps volatility forecasting Realized GARCH
2012/4/28
In this paper, we propose a forecasting model for volatility based on its decomposition to several investment horizons and jumps. As a forecasting tool, we utilize Realized GARCH framework of Hansen e...