As a natural extension to León and Vivas (2010) and León and Reveiz (2010) this paper briefly describes the Cholesky method for simulating Geometric Brownian Motion processes with long-term dependence, also referred as Fractional Geometric Brownian Motion (FBM). Results show that this method...

Abstract Whilst emphasis has been given to short-term dependence of financial returns, long-term dependence remains overlooked. Despite financial literature provides evidence of long-term´s memory existence, serial-independence assumption prevails. This document´s long-term dependence...

Financial basics and intuition stresses the importance of investment horizon for risk management and asset allocation. However, the beta parameter of the Capital Asset Pricing Model (CAPM) is invariant to the holding period. Such contradiction is due to the assumption of long-term independence...

First developed by Markowitz (1952), the mean-variance framework is the most widespread theoretical approximation to the portfolio problem. Nevertheless, successful application in the investment community has been limited. Assumptions such as normality of returns and a static correlation matrix...

The set of objectives in reserves management are normally predefined and include: protecting the economy against potential external shocks on the current account or on capital flows; invest the reserves minimizing the potential of a loss and ensuring the availability of international liquidity...

Este trabajo desarrolla un modelo de simulación para estimar el flujo de caja de unpensionado que tiene su cuenta individual en una Administradora de Fondos dePensiones (AFP) colombiana. Se proyecta el flujo a partir de las sendas salariales ydensidades de cotización estimadas por la...

Este documento evalúa la regulación vigente relacionada con la inversión de losrecursos de los Fondos de Pensiones Obligatorios (FPO), para lo cual se analiza el perfilde eficiencia del sistema dadas sus actuales restricciones. De acuerdo con los resultadosobtenidos, se observa que el marco...

Este documento evalúa la regulación vigente relacionada con la administración de losportafolios de los Fondos de Pensiones Obligatorios (FPO), para esto revisa la literaturarelacionada con la eficiencia del Sistema dadas sus actuales restricciones. Se concluyeque el marco regulatorio de las...

Operational Risk (OR) results from endogenous and exogenous risk factors, as diverse and complex to assess as human resources and technology, which may not be properly measured using traditional quantitative approaches. Engineering has faced the same challenges when designing practical solutions...