THE BLACK-SCHOLES EQUATION REVISITED: ASYMPTOTIC EXPANSIONS AND SINGULAR PERTURBATIONS

In this paper, novel singular perturbation techniques are applied to price European, American, and barrier options. Employment of these methods leads to a significant simplification of the problem in all cases, by reducing the number of parameters. For American options, the valuation problem is reduced to a procedure that may be performed on a rudimentary handheld calculator. The method also sheds light on the evolution of option prices for all of the cases considered, the results being particularly illuminating for American and barrier options.     

The Singapore Ministerial Conference: An Overview

The guest editor, Peter Lloyd, outlines the scope of the Singapore Ministerial meeting of the WTO and assesses its achievements and disappointments.     

Innocents Abroad: Attitude Change toward Hosts

The purpose of this study was to examine the role of social distance, prior expectations, and trip experience on post-trip attitudes in multiple destinations. This study is based on surveys conducted with two groups of students: 1) a group participating in a summer study abroad program to the South Pacific or to Europe, and 2) a control group. The results show that attitude changes were positive towards Europeans, negative towards Australians, and mixed towards Fijians. This study supports the expectation value theory, but contradicts the cultural distance theory of attitude change. Further, the results show that experience with non-tourism related services played an important role toward attitude change.     

A Cross‐Cultural Comparison of the Plural Forms in Franchise Networks: United States,France, and Brazil*

This paper explores the phenomenon of plural forms (i.e., the simultaneous coexistence of franchised and company‐owned outlets, operationally, the proportion of company‐owned units in franchise systems based on literature, in franchising across three countries from three continents, namely the United States, France, and Brazil in what is ostensibly the first cross‐cultural comparison of its kind. Based on 2003 secondary data, we carry out a series of inferentially grounded analyses involving the plural forms phenomenon from an exploratory perspective. Though subsequently, comparative regression models are also evaluated using eight purported determinants of the use of the plural forms, the essential character of the paper remains essentially exploratory. The results show that the proportion of company‐owned outlets is almost three times greater in France and Brazil as compared to the United States. We also found that in the U.S. sample, three of the eight predictors significantly predict the occurrence of plural forms (namely, average total required investment and cash liquidity requirement have a negative impact, and company age has a positive impact); the French model was not statistically significant, whereas in the Brazilian sample, two predictors influence the plural forms phenomenon (i.e., total network size has a positive significant effect and incidence of internationalization has a significant negative impact).     

A Rose.com by Any Other Name

We document a striking positive stock price reaction to the announcement of corporate name changes to Internet-related dotcom names. This "dotcom" effect produces cumulative abnormal returns on the order of 74 percent for the 10 days surrounding the announcement day. The effect does not appear to be transitory; there is no evidence of a postannouncement negative drift. The announcement day effect is also similar across all firms, regardless of the firm's level of involvement with the Internet. A mere association with the Internet seems enough to provide a firm with a large and permanent value increase.     

A multinomial probit model of stochastic evolution

A strategy revision process in symmetric normal form games is proposed. Following Kandori et al. (Econometrica 61 (1993) 29), members of a population periodically revise their strategy choice, and choose a myopic best response to currently observed play. Their payoffs are perturbed by normally distributed Harsanyian trembles, so that strategies are chosen according to multinomial probit probabilities. As the variance of payoffs is allowed to vanish, the graph theoretic methods of the earlier literature continue to apply. The distributional assumption enables a convenient closed form characterisation for the weights of the rooted trees. An illustration of the approach is offered, via a consideration of the role of dominated strategies in equilibrium selection.     

Purchasing Power Parities for Industry Comparisons Using Weighted Elteto–Koves–Szulc (EKS) Methods

This study has three main objectives. First, it develops a generalization of the commonly used EKS method to multilateral price comparisons. It is shown that the EKS system can be generalized so that weights can be attached to each of the link comparisons used in the EKS computations. These weights can account for differing levels of reliability of the underlying binary comparisons. Second, various reliability measures and corresponding weighting schemes are presented and their merits discussed. Finally, these new methods are applied to an international data set of manufacturing prices from the ICOP project. Although theoretically superior, it appears that the empirical impact of the weighted EKS method is generally small compared to the unweighted EKS. It is also found that this impact is larger when it is applied at lower levels of aggregation. Finally, the importance of using sector specific PPPs in assessing relative levels of manufacturing productivity is indicated.     

Additional Empirical Evidence on Real Convergence: A Fractionally Integrated Approach

We examine the real convergence hypothesis for 14 OECD countries looking at the fractional order of integration of the differences of real GDP per capita in these countries with respect to the United States. Using parametric procedures, the results vary depending on how we specify the I(0) disturbances. If they are white noise, convergence is achieved for Canada and Australia, and with autocorrelated disturbances, this hypothesis is satisfied for France and the Netherlands. However, allowing for a break at World War II, evidence of convergence is obtained for all countries. JEL no. C32, O41