A MULTINOMIAL APPROXIMATION FOR AMERICAN OPTION PRICES IN LÉVY PROCESS MODELS

This paper gives a tree-based method for pricing American options in models where the stock price follows a general exponential Lévy process. A multinomial model for approximating the stock price process, which can be viewed as generalizing the binomial model of Cox, Ross, and Rubinstein (1979) for geometric Brownian motion, is developed. Under mild conditions, it is proved that the stock price process and the prices of American-type options on the stock, calculated from the multinomial model, converge to the corresponding prices under the continuous time Lévy process model. Explicit illustrations are given for the variance gamma model and the normal inverse Gaussian process when the option is an American put, but the procedure is applicable to a much wider class of derivatives including some path-dependent options. Our approach overcomes some practical difficulties that have previously been encountered when the Lévy process has infinite activity.     

Does Hedging Affect Firm Value? Evidence from the US Airline Industry

Does hedging add value to the firm, and if so, is the source of the added value consistent with hedging theory? We investigate jet fuel hedging behavior of firms in the US airline industry during 1992–2003 to examine whether such hedging is a source of value for these companies. We illustrate that the investment and financing climate in the airline industry conforms well to the theoretical framework of Froot, Scharfstein, and Stein (1993). In general, airline industry investment opportunities correlate positively with jet fuel costs, while higher fuel costs are consistent with lower cash flow. Given that jet fuel costs are hedgeable, airlines with a desire for expansion may find value in hedging future purchases of jet fuel. Our results show that jet fuel hedging is positively related to airline firm value. The coefficients on the hedging variables in our regression analysis suggest that the “hedging premium” is greater than the 5% documented in Allayannis and Weston (2001), and might be as large as 10%. We find that the positive relation between hedging and value increases in capital investment, and that most of the hedging premium is attributable to the interaction of hedging with investment. This result is consistent with the assertion that the principal benefit of jet fuel hedging by airlines comes from reduction of underinvestment costs.     

What Kind of Voice Do Loyal Employees Use?

This study helps clarify mixed support for Hirschman's exit–voice–loyalty framework by arguing that loyalty, or feelings of attachment to the organization, and voice are not one–dimensional constructs. Based on data gathered from a survey of employees working with a large Canadian utility organization, employees feeling attached through an affective, emotional bond are found less likely to use representative voice but more likely to use direct voice, while those attached for rational, calculated reasons are more likely to use representative voice. Employees feeling attached for either reason are found less likely to exit. Implications for theory, research, and policy are discussed.     

Ludwig von Mises: The Man and His Economics

Kirzner, Israel M. (2001). Ludwig von Mises: The Man and His Economics . Wilmington, DE: ISI Books. ISBN 1-882926-61-7. xv, 226 pp.     

Gentlemanly capitalism in New Zealand

This article responds to McAloon's contribution to this journal criticising the argument advanced by P.J. Cain and myself in British Imperialism . McAloon's research on Canterbury and Otago merits serious attention, but it is argued here that he is mistaken in claiming that it disproves the case we made for applying our concept of gentlemanly capitalism to New Zealand. Both the structure of 'settler capitalism' and the social characteristics of the settlers themselves provide a good fit with our interpretation. Nevertheless, McAloon deserves credit for putting this subject on the agenda, and it is to be hoped that other historians of New Zealand (and also of Australia) will now reconsider the relationship between the 'rules of the game' established by the imperial centre and the degrees of dependence experienced by the constituent parts of the empire.     

Consistent estimation in the bilinear multivariate errors-in-variables model

A bilinear multivariate errors-in-variables model is considered. It corresponds to an overdetermined set of linear equations AXB=C, A∈ℝ^m×n, B∈ℝ^p×q, in which the data A, B, C are perturbed by errors. The total least squares estimator is inconsistent in this case.  An adjusted least squares estimator is constructed, which converges to the true value X, as m →∞, q →∞. A small sample modification of the estimator is presented, which is more stable for small m and q and is asymptotically equivalent to the adjusted least squares estimator. The theoretical results are confirmed by a simulation study. Acknowledgements. We thank two anonymous reviewers for their suggestions and corrections.? A. Kukush is supported by a postdoctoral research fellowship of the Belgian office for Scientific, Technical and Cultural Affairs, promoting Scientific and Technical Collaboration with Central and Eastern Europe.? S. Van Huffel is a full professor with the Katholieke Universiteit Leuven.? I. Markovsky is a research assistant with the Katholieke Universiteit Leuven.? This paper presents research results of the Belgian Programme on Interuniversity Poles of Attraction (IUAP V-22), initiated by the Belgian State, Prime Minister's Office – Federal Office for Scientific, Technical and Cultural Affairs of the Concerted Research Action (GOA) projects of the Flemish Government MEFISTO-666 (Mathematical Engineering for Information and Communication Systems Technology), of the IDO/99/03 project (K.U. Leuven) “Predictive computer models for medical classification problems using patient data and expert knowledge”, of the FWO projects G.0078.01, G.0200.00, and G0.0270.02.? The scientific responsibility is assumed by its authors.