Pricing Perpetual Options for Jump Processes

Abstract

We consider two models in which the logarithm of the price of an asset is a shifted compound Poisson process. Explicit results are obtained for prices and optimal exercise strategies of certain perpetual American options on the asset, in particular for the perpetual put option. In the first model in which the jumps of the asset price are upwards, the results are obtained by the martingale approach and the smooth junction condition. In the second model in which the jumps are downwards, we show that the value of the strategy corresponding to a constant option-exercise boundary satisfies a certain renewal equation. Then the optimal exercise strategy is obtained from the continuous junction condition. Furthermore, the same model can be used to price certain reset options. Finally, we show how the classical model of geometric Brownian motion can be obtained as a limit and also how it can be integrated in the two models.     

Segmenting a market in the making: Industrial market segmentation as construction

This paper takes an empirical starting point in a claim that Biacore, a pioneering Swedish producer of affinity biosensors, was “in the enviable position of creating its own market” (Abelin, 1997). An in-depth case study traces how Biacore undertook segmentation activities while shaping the market for its new product technology, affinity biosensors. This involved stabilising the modes of exchange with customers, the product and the identity of the company. The efforts of Biacore highlight a constructive dimension of market segmentation that hitherto has received little attention. Rather than a process of describing, deciding and taking action, Biacore engaged in the gradual construction of market segments through an interactive and iterative process involving close collaboration with early users. Simultaneously, the market for the new technology gained shaped. Thus, the paper reports a ‘markets from networks’ story illustrating how the practice of segmenting a market may have consequences for that market.     

The Internationalization of Small and Medium-Sized Firms

This paper contributes to the existing research by integrating the notions of organizational learning and entrepreneurial orientation into the body of international entrepreneurship. Our primary framework combines learning theory and the new venture theory of internationalization to study the extent to which small and medium-sized companies engage in international activities. We found that the firms’ international learning effort and entrepreneurial orientation are positively associated with internationalization intent whereas domestic learning effort is negatively related with internationalization intent. Overall, our results suggest (1) that intensive knowledge renewal and exploitation regarding foreign markets and the internationalization process itself may increase internationalization by affecting the perceptions of opportunities offered by further international expansion, and (2) that firms with an entrepreneurial mindset may be more likely to develop a long-term, substantial presence in the international arena, compared to firms that are more reactive or conservative.