We apply numerical dynamic programming to multi-asset dynamic portfolio optimization problems with proportional transaction costs. Examples include problems with one safe asset plus two to six risky stocks, and seven to 360 trading periods in a finite horizon problem. These examples show that it...

We implement a dynamic programming algorithm on a computational grid consisting of loosely coupled processors, possibly including clusters and individual workstations. The grid changes dynamically during the computation, as processors enter and leave the pool of workstations. The algorithm is...

The World Bank Treasury's Reserve Advisory and Management Partnership (RAMP) conducted its third survey on reserve management practices in 2021. One hundred and nineteen central banks, from different regions, income groups, and reserve levels, contributed to the survey, which included questions...

Implicit contingent liabilities, such as those generated by natural disasters, are often not quantified in the government balance sheet. However, when they materialize, they place pressure on government finances that may raise interest expenditures and financial risks. Understanding the impacts...

This Technical Note provides detailed information on the Brazilian risk classification system using the RI approach and the Indian RI system for the initial risk screening of a large portfolio of existing dams. Annex A provides basic information about the RI approach used in Quebec, Canada, for...

The World Bank's VA and VASP ML/TF Risk Assessment Tool (VA-RA) and this Guidance, aims to assist countries in assessing the ML/TF risks of VA activities and the service providers in the financial and non-financial sectors involved in these activities. It outlines the steps and explanations to...

This survey report represents a collaborative effort between Reserve Advisory and Management Partnership (RAMP) and central banks worldwide to advance the understanding and practice of reserve management. The cooperation of all central banks involved is greatly appreciated, and we anticipate...

Our analysis melds two traditional approaches to promoting quality. The first is restoring the stock of quality. The second is curbing its flow of deterioration. Although both approaches are widely used in real world settings, analytic models have tended to focus on one strategy or the other. We...

We propose a model of bounded rationality based on time-costs of deliberating current and future decisions. We model an individual decision maker%u2019s thinking process as a thought-experiment that takes time and let the decision maker %u201Cthink ahead%u201D about future decision problems in...

Campbell and Cochrane (1999) formulate a model that successfully explains a wide variety of asset pricing puzzles, by augmenting the standard power utility function with a time-varying subsistence level, or "external habit", that adapts nonlinearly to current and past average consumption in the...