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.     

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.     

Driving organizational citizenship behaviors and salesperson in-role behavior performance: The role of management control and perceived organizational support

Interest in management control approaches and organizational factors associated with higher levels of salesperson performance is reflected in research streams concerned with behavior-based control strategies and organizational citizenship behaviors (OCBs). This study makes two distinct additions to the literature relating to control, organizational citizenship behaviors and salesperson performance. First, the study distinguishes between salesperson in-role behavior performance and outcome performance to model in-role behavior performance as a mediator between OCB and outcome performance. Second, the work supports sales manager control as an antecedent to OCB. A second model introduces perceived organizational support (POS) as an additional antecedent to salesperson OCB, and more important, as a consequence of sales manager control. This construct has not been included in prior salesperson OCB studies. Results show sales manage control has a stronger impact on OCB through POS, than directly, and POS has a strong impact on salesperson OCB. Nigel F. Piercy (Nigel.Piercy@wbs.ac.uk) is a professor of marketing in the Warwick Business School at the University of Warwick, United Kingdom. He holds a Ph.D. from the University of Wales and a higher doctorate (D.Litt) from Heriot-Watt University, Edinburgh. His current research interests focus on strategic sales and account management. His work has been published in many journals including theJournal of Marketing, theJournal of International Marketing, and theJournal of the Academy of Marketing Science. He is coauthor to David Cravens onStrategic Marketing (8th ed., Irwin/McGraw-Hill, 2006). David W. Cravens (D.Cravens@tcu.edu) holds the Eunice and James L. West Chair of American Enterprise Studies and is a professor of marketing in the M. J. Neeley School of Business at Texas Christian University, Fort Worth, Texas. He has a doctorate in business administration from Indiana University. His areas of specialization include marketing strategy and planning, sales management, and new product planning. His research has been published in a wide range of journals including theJournal of Marketing, theJournal of Marketing Research, the Journal of the Academy of Marketing Science, and theInternational Journal of Marketing. Nikala Lane (Nikala.Lane@wbs.ac.uk) is a senior lecturer in marketing in the Warwick Business School at the University of Warwick, United Kingdom. She holds a Ph.D. from the University of Wales and was previously a senior research associate at Cardiff University. Her research interests are focused on gender and ethics issues in sales and marketing management. Her work has been published widely in the international literature and includes articles in theJournal of Management Studies, theBritish Journal of Management, the Journal of Business Ethics, and theJournal of Personal Selling & Sales Management. Douglas W. Vorhies (dvorhies@bus.olemiss.edu) is an assistant professor of marketing in the School of Business Administration at the University of Mississippi. His primary research interests are in the areas of marketing strategy, marketing resources and capabilities, the links between innovation, strategic market management and performance, and professional selling and sales management. His other work has been published in many journals including theJournal of Marketing, Decision Sciences, theJournal of Product Innovation Management, theEuropean Journal of Marketing, and theJournal of Personal Selling and Sales Management.