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 ...

This paper reassesses the burden of the current U.S. international tax regime and reconsiders well-known welfare benchmarks used to guide international tax reform. Reinventing corporate tax policy requires that international considerations be placed front and center in the debate on how to tax corporate income. A simple framework for assessing current rules suggests a U.S. tax burden on foreign...

In the process of investment decision making, next to financial indicators many other aspects of investment projects are increasingly often considered. This leads to the multi-criteria evaluation of a project. The advantage of multi-criteria methods is the ability to take into account all (not only financial) aspects of the attractiveness of an investment project. The selection of criteria of p...

The article presents the results of a study of the nature and characteristics of investment processes in the agricultural sector (by the example of agriculture and food industry in Ukraine), as well as recommendations on the modernization of the mechanisms for strategic management of these processes. It is noted that the restoration and development of Ukraine is possible on the basis of the eff...

This paper reviews the theory and evidence on the process by which corporations raise debt and equity capital and the associated effects on security prices. Findings from related transactions are used to test hypotheses about the stock price patterns accompanying announcements of security offerings. Various contractual alternatives employed in security issues are examined; for example, rights o...

Rapid prototyping is an important technique for manufacturing. This work refers to the manufacture of hollow patterns made of polymeric materials by rapid prototyping technologies for its use in the preparation of ceramic molds in the investment casting process. This work is focused on the development of a process for manufacturing patterns diff erent from those that currently exist due to its ...

The environment within which institutions undertake commercial and industrial activity changes both as a result of decisions dependent on the institution itself and as a result of decisions independent of the institution. In recent years many of these changes have resulted in changing perspectives on the range of criteria which should be considered when determining how and where large corporati...

Investment decisions are strategic decisions that require a thorough analysis of risk, because the risk management is a basis of decision making. The goal of investing is not just profit in a certain period of time, but depending on the preferences of the decision maker, there should be a compromise between maximizing the expected return on investment and efforts to reduce the risk to a minimum...