Modifying the proof of a theorem of Wilkie, it is shown that if a one dimnsional set S is definable in an O minimal expansion of the ordered field of the reals, and if it is regularly exponentially near to many integral points, then there is an unbounded set, which is R definable without parameters, and which is exponentially near to S.

In this article we will describe some of the main developments in interest-rate modelling since Black & Scholes’ (1973) and Merton’s (1973) original articles on the pricing of equity derivatives. In particular, we will focus on continuoustime, arbitrage-free models for the full term structure of interest rates. Other models which model a limited number of key interest rates or which operate in ...

Most articles that discuss the economics of security focus on the use of rational choice decision models for evaluating investment alternatives. However, security investment decisions involve risk and several researchers have noted that risk related decisions often violate the fundamental principles of rational choice decision models. Accordingly, we assert that problems exist with using these ...

The growing demand for data storage and computational power has increased the global deployment of data centers. Today, data centers are the backbone of modern companies, but also main consumers of energy and among the major producers of greenhouse gas emissions. Therefore, the development and implementation of sustainable and energy efficient Green Data Centers (GDC) has gained relevance from ...

The investment of mutual funds which investors are often required evaluating the investment strategies according to their own subjective preferences in terms of numerical values from various criteria. This situation can be regarded as a fuzzy multiple criteria decision-making (MCDM) problem. The purpose of this study attempts to propose an alternative approach, fuzzy multiple criteria decision ...

This paper analyzes the theoretical problem of the real option with barrier. It models an investment decision with a double irreversibility concern: investing is irreversible, but waiting runs the risk of loosing the opportunity to invest. The optimal strategy leads to earlier investment when the barrier increases, or when uncertainty decreases. Uncertainty has ambiguous effects on the expected...

The standard real–options model predicts that increased uncertainty discourages investment. When projects are large and take time to build, however, that prediction can be reversed. We investigate the investment/uncertainty relationship empirically using historical data on opening dates of new U.S. copper mines — large, irreversible projects with substantial construction lags. Both the timing o...

one of the most important strategies for governments to increase the efficiency of different economic sectors, including public services such as water, is to protect and strengthen the private sector. bot and boo contracts are among the most common and popular procedures of development of participation and investment from private sector. in this context, providing a good basis for the selection...

An application of case-based reasoning is proposed to build an influence diagram for identifying successful new ventures. The decision to invest in new ventures is characterized by incomplete information and uncertainty, where some measures of firm performance are quantitative, while some others are substituted by qualitative indicators. Influence diagrams are used as a model for representing i...

This paper explores the use of an intuitive decision support model for evaluating and selecting corporate bonds. The model is based on the Analytic Hierarchy Process (AHP), which enables an individual investor and a portfolio manager to identify the relative impacts of multiple criteria derived from the assessment of a particular investment environment. It also allows the pairwise comparisons o...