Improving lattice schemes through bias reduction

Lattice schemes for option pricing, such as tree or grid/partial differential equation (p.d.e.) methods, are usually designed as a discrete version of an underlying continuous model of stock prices. The parameters of such schemes are chosen so that the discrete version “best” matches the continuous one. Only in the limit does the lattice option price model converge to the continuous one. Otherwise, a discretization bias remains. A simple modification of lattice schemes which reduces the discretization bias is proposed. The modification can, in theory, be applied to any lattice scheme. The main idea is to adjust the lattice parameters in such a way that the option price bias, not the stock price bias, is minimized. European options are used, for which the option price bias can be evaluated precisely, as a template to modify and improve American option methods. A numerical study is provided. © 2006 Wiley Periodicals, Inc. Jrl Fut Mark 26:733–757, 2006     

Money,inflation, and optimal economic growth

Using a two-asset model of a growing competitive economy, it is shown that the optimal growth path can be achieved via a policy operating exclusively on the rate of growth of the money stock.     

The Micro Effects of Inflation on Corporate Taxation and Profitability: Some Empirical Evidence for Seventeen Industry Groups*

This study provides some estimates for the following micro effects of inflation: the depreciation effect; the inventory effect; and the net monetary effect. The results indicate that these distributive effects of inflation lead to non-trivial reallocations of wealth between the different sectors of the economy. Furthermore, the study identifies those industry groups which have benefited from these effects and those industry groups which have ‘lost out’ due to these effects.     

Project selection in a small university R&D laboratory

Abstract: The case study presented in this paper deals with the problem of selecting interrelated R & D projects in a small university R & D laboratory under constrained resources. A constrained optimization model was used, applying a multiattribute utility approach.     

Subsistence agriculture and technological options

This is a modified version of a paper presented to the ‘Seminario Internacional sobre Tecnología para el Pequeño Agricultor’, held under the auspices of the IICA-lnstituto Interamericano de Ciências Agrícolas da OEA, Asuncion, Paraguay, 2–6 May 1977. The author wishes to thank Denisard C.O. Alves and Fernando B. Homem de Mello for their constructive comments.