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Markov chain Monte Carlo (MCMC) methods have an important role in solving high dimensionality stochastic problems characterized by computational complexity. Given their critical importance, there is need for network and security risk management research to relate the MCMC quantitative...
Persistent link: https://www.econbiz.de/10013029835
Investors typically measure an asset’s potential to diversify a portfolio by its correlations with the portfolio’s other assets, but correlation is useful only if it provides a good estimate of how an asset’s returns co-occur cumulatively with the other asset returns over the investor’s...
Persistent link: https://www.econbiz.de/10014343662
Introducing the Brownian motion in the way of Einstein and Wiener we find the connection between a Wiener Process and the Heat Diffusion PDE.We solve the PDE analytically for some boundary conditions and then use the connection to the Wiener Process to solve more complex BVP's using Monte Carlo...
Persistent link: https://www.econbiz.de/10013125979
New methods for solving general linear parabolic partial differential equations (PDEs) in one space dimension are developed. The methods combine quadratic-spline collocation for the space discretization and classical finite differences, such as Crank-Nicolson, for the time discretization. The...
Persistent link: https://www.econbiz.de/10014203451
stochastic approximation schemes and inexact Newton methods. Building on these results, we put forward a new optimization scheme …
Persistent link: https://www.econbiz.de/10014634825
important in spatial econometrics, where spatial interaction and structure are introduced into regression analysis. Because of … intractable by standard numerical methods, and, consequently, robust and efficient optimization techniques are needed. In the case … of simple general spatial regressive models (GSRMs), standard local optimization methods, such as Newton …
Persistent link: https://www.econbiz.de/10011513915
simplified problems might not be satisfying. A different approach consists in applying optimization heuristics such as … standard in several fields of sciences, their use in estimation and modelling in econometrics appears to be still limited. We … present an introduction to heuristic optimization methods and provide some examples for which these methods are found to work …
Persistent link: https://www.econbiz.de/10003961503
After the release of the final accounting standards for impairment in July 2014 by the IASB, banks will face the next significant methodological challenge after Basel 2. In this paper, first methodological thoughts are presented, and ways how to approach underlying questions are proposed.It...
Persistent link: https://www.econbiz.de/10013004047
The credit risk measure, Expected Loss (EL) is defined as the product of the three risk parameters: probability of default (PD), loss given default (LGD) and exposure at default (EAD). EL is central to risk management, profit estimation, calculating regulatory capital requirements and the...
Persistent link: https://www.econbiz.de/10012963138
We propose a straightforward approach to obtain a more efficient estimate of the integrated variance of an asset through a cross-sectional combination with a futures contract written on it. Our method constructs a variance-preserving series with reduced noise size as a linear combination of the...
Persistent link: https://www.econbiz.de/10012916348