Traditional project investment methods, such as the discounted cash flow (DCF) with a fixed static plan, are no longer sufficient to assist the corporate strategies of seizing opportunities and profitability. The option pricing formula includes a theoretical framework for pricing financial options, assuming that the risk in a financial hedged position is zero, if the option is adjusted continuo...

The theory of real options is used to incorporate the influence of uncertainty on demographic decision-making. The decision to have children is formulated as an investment using portfolio theory. The timing of the decision to have a child is modelled as a real options decision, with uncertainty affecting a woman’s ability to exercise the doption to waitT in order to delay or space births. An in...

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 ...