Nelle applicazioni finanziarie del metodo Montecarlo e Quasi–Montecarlo, uno dei problemi più comuni è il campionamento da una data distribuzione cumulata. In questo documento, tra i diversi approcci, ci riferiamo al metodo della “Trasformata inversa” e proponiamo un nuovo algoritmo per...

In this research, a first order Markov model is built from a corpus of bagana music, a traditional lyre from Ethiopia. Different ways in which low order Markov models can be used to build quality assessment metrics for an optimization algorithm are explained. These are then implemented in a...

We derive a closed-form expression for the bilateral credit valuation adjustment of a credit default swap in presence of simultaneous defaults. We develop our analysis under a default intensity model specified by a class of three-dimensional subordinators, allowing for default dependence through...

Markov chain theory is proving to be a powerful approach to bootstrap highly nonlinear time series. In this work we provide a method to estimate the memory of a Markov chain (i.e. its order) and to identify its relevant states. In particular the choice of memory lags and the aggregation of...

The article analyses an approach to construction of the mathematical model for the bank based upon set theory and abstract algebra. It is shown that selection of correspond algebraic structure for simulation is influence directly on basis of methods for solving engineering and economical...

Using recent advances in time-varying spectral methods, this research analyses the growth cycles of the core of the euro area in terms of frequency content and phasing of cycles. The methodology uses the con-tinuous wavelet transform (CWT) and also Hilbert wavelet pairs in the setting of a...

This paper provides formulae for computing perturbation method approximations of unconditional variances of variables in nonlinear DSGE models. Spurious higher order terms that creep into multi-step ahead forecasts can produce explosive time paths frustrating traditional approaches to estimating...

We provide an overview of automatic differentiation (AD), a technique for the efficient computation of derivatives of functions defined in some programming language. We give a short explanation of how AD works, indicate the anticipated cost of derivatives computed using AD, and survey what AD...

When crossing the boundary of stability of a given dynamical system only indicates a bifurcation point and the type of the bifurcating solutions. But it doesn't tell us how and how many new solutions bifurcate or disappear in a bifurcation point. To answer this question one has to take into...