We adapt the evolutionary stock market model from Evstigneev, Hens, Schenk-Hoppeacute; (2006) to a continuous time framework, where uncertainty in dividends is produced by a single Wiener process. The setup is therefore significantly different from Yang and Ewald (2008), who also study continuous...

We show how infinite horizon stochastic optimal control problems can be solved via studying their finite horizon approximations. This often leads to analytical solutions for the infinite horizon problem, even when the complexity of the finite horizon approximation is to large, as in order to...

We study forwards and European call options, which are written on a non-storable renewable resource. Examples of such derivatives in form of futures on fresh catch of wild salmon for the US and the recently created Fish Pool market in Norway, where futures on a composite of wild catch and farmed...

We consider Merton's version of the Solow model Merton (1975), where capital per labor is assumed to follow the diffusion process: dk(t)=[sf(k(t))-(n lambda-sigma2)k(t)]dt sigmak(t)dW(t), with constant per capital savings rate s. Merton defined a golden rule in this context as one for which...

The spectacular rise of ESG usage in investment decision-making made public companies’ environmental and social attitudes critical more than ever as their shares are sold and bought in stock exchanges. Even though the enlightened shareholder value approach (ESV) by Section 172 (S172) of the...

We show that under the Black Scholes assumption the price of an arithmetic average Asian call option with fixed strike increases with the level of volatility . This statement is not trivial to prove and for other models in general wrong. In fact we demonstrate that in a simple binomial model no...

This paper presents a proposal for evaluating real options. The existing models are not widely used by corporate managers as they are formally complex, rather difficult to understand and rest on strong implicit assumptions. We propose a possible alternative by using a fuzzy expert system that...

This paper makes use of a fuzzy expert system to evaluate a strategic investment. In particular, the model proposed aims at replicating the actual decision process accomplished by Florim S.p.a., an Italian ceramic tile firm which recently had the opportunity of buying a firm in the USA. The...

A new relationship is derived for net present value (NPV) per dollar invested that is composed entirely of interest rates. The rates are mark-ups to the cost of capital, each mark-up being an internal rate of return (IRR) embedded in the complex plane. The result has been shown before, but only...

The fuzzy transform (F-transform), introduced by I. Perfilieva, is a powerful tool for the construction of fuzzy approximation models; it is based on generalized fuzzy partitions and it is obtained by minimizing a quadratic (L₂-norm) functional. In this paper we describe an analogous...