A Nonstandard Approach to Option Pricing

Nonstandard probability theory and stochastic analysis, as developed by Loeb, Anderson, and Keisler, has the attractive feature that it allows one to exploit combinatorial aspects of a well-understood discrete theory in a continuous setting. We illustrate this with an example taken from financial economics: a nonstandard construction of the well-known Black-Scholes option pricing model allows us to view the resulting object at the same time as both (the hyperfinite version of) the binomial Cox-Ross-Rubinstein model (that is, a hyperfinite geometric random walk) and the continuous model introduced by Black and Scholes (a geometric Brownian motion). Nonstandard methods provide a means of moving freely back and forth between the discrete and continuous points of view. This enables us to give an elementary derivation of the Black-Scholes option pricing formula from the corresponding formula for the binomial model. We also devise an intuitive but rigorous method for constructing self-financing hedge portfolios for various contingent claims, again using the explicit constructions available in the hyperfinite binomial model, to give the portfolio appropriate to the Black-Scholes model. Thus, nonstandard analysis provides a rigorous basis for the economists' intuitive notion that the Black-Scholes model contains a built-in version of the Cox-Ross-Rubinstein model.     

Noise Trading and the Management of Operational Risk; Firms,Traders and Irrationality in Financial Markets*

abstract Efficient market models cannot explain the high level of trading in financial markets in terms of asset portfolio adjustment. It is presumed that much of this excessive trading is irrational ‘noise’ trading. A corollary is that there must either be irrational traders in the market or rational traders with irrational aberrations. The paper reviews the various attempts to explain noise trading in the finance literature, concluding that the persistence of irrationality is not well explained. Data from a study of 118 traders in four large investment banks are presented to advance reasons why traders might seek to trade more frequently than financial models predict. The argument is advanced that trades do not simply occur in order to generate profit, but it does not follow that such trading is irrational. Trading may generate information, accelerate learning, create commitments and enhance social capital, all of which sustain traders' long term survival in the market. The paper treats noise trading as a form of operational risk facing firms operating in financial markets and discusses approaches to the management of such risk.     

Capital Investment under Alternative Marketing Scenarios in the Hog Industry: A Real Option Approach

This paper uses a real option approach to analyze the impact of alternative marketing contracts on the decision to invest in a cooperatively owned hog facility. For the numerical analysis of the impact, this paper uses a simulation method that incorporates early exercise, multiple‐state variables, multi‐choice decisions and temporal optimality. The results show that the option values that stem from the value of waiting to invest and choosing between alternative marketing methods amounts to 20–36% of the initial investment. Further, having an option to choose an alternative marketing method with different risk structure does add to the value of waiting to invest. Having an option to enter a 15‐year marketing contract increases the value of waiting by as much as $117,097 for the pork production example in this paper. Finally, the value of the option to wait is unilaterally lower under a risk‐reducing contract scenario than under a spot market alternative. This could explain the explosion in hog production facility investment during the 1990s when prevalence of contract production increased. Les auteurs ont recouru à l'approche du choix véritable pour analyser l'impact d'autres solutions de mise en marché sur la capacité d'investir ou pas dans un élevage de porcs exploitéà la manière d'une coopérative. Aux fins de l'analyse, on s'est servi d'une méthode de simulation intégrant une brève campagne, de multiples variables d'État, des décisions à choix multiple et des conditions optimales dans le temps. Les résultats indiquent que l'existence d'un choix réel permettant à l'exploitant d'attendre avant d'investir et de sélectionner entre plusieurs méthodes de mise en marché représente 20 à 36 pour cent de l'investissement initial. Par ailleurs, le fait d'avoir accès à une autre méthode de mise en marché, à structure de risque différente, ne donne pas plus de valeur à la capacité d'attendre avant de procéder aux investissements. La possibilité de signer une entente de commercialisation de quinze ans accroît la valeur de l'attente de jusqu'à 117,097 $ pour le type d'élevage porcin retenu comme exemple. Enfin, l'existence d'une entente de commercialisation atténuant les risques réduit unilatéralement la valeur de l'option « attente », comparativement à ce qui se produit quand l'éleveur n'a d'autre choix qu'écouler ses bêtes sur le marché au comptant. Ces résultats pourraient expliquer l'explosion des investissements observée dans le secteur du porc au cours des années 90, où la production sous contrat avait sensiblement augmenté.     

Hymer and Uneven Development Revisited: Foreign Direct Investment and Regional Inequalities

Picking up on one of Hymer's key contributions, this paper examinesthe impact that inward foreign direct investment (FDI) intothe UK has on the patterns of development, both within and acrossregions. Using a panel of data for the manufacturing sector,the paper illustrates that even where one isolates the effecton the domestic sector alone, inward investment acts to increasethe demand for skilled, relative to unskilled labour, and alsogenerates the expected agglomeration effects in terms of thedemand for capital investment. The paper then goes on to drawcertain policy comparisons between these findings and the desiredaim of attracting FDI, notably to increase demand for labourin those regions suffering structural unemployment, and secondlyto reduce the disparities between regions.     

Business Strategy, R&D Management and Environmental Imperatives

Abstract
Environmental imperatives are seen by many business leaders to represent a major issue for the 1990's and beyond. The debate about the environmental sustainability of economic activity has important implications for the development of business and places considerable emphasis on the need for planned corporate change. The strategic significance of the environment is particularly critical to R&D as this is characterised by long planning horizons and provides the setting for the development of future products and processes.
The purpose of this paper is to examine the connections between environmental imperatives, strategic change and R&D management. To this end the paper reviews the strategic nature of environmental pressures on business. From this base, consideration is given to the responses required by business, in meeting these pressures. The paper concludes by suggesting that the application of management techniques in concert with organisational change is needed for R&D management to build environmental considerations effectively into innovation. These suggestions can be used to gauge how far individual businesses have developed the systems and structures to enable them to move towards sustainability. The implication of the paper is that R&D management will not only need to apply new management techniques but will have to play a leading role in innovative organisational structures in order to fulfil the full potential of environmentally sensitive products and processes.