We seek to determine the optimal amount of the insurer’s investment in all types of assets for a small and closed economy. The goal is to detect the implications and contributions the risk seeker and risk aversion insurer commonly make and the effectiveness in the investment decision. Also, finding the optimum portfolio for each is the main goal of the present study. To this end, we adopted the...

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 ...

In this paper the impact of investment specific technical progress on investment allocation is studied by using an extended version of the Feldman’s two sector model that takes into account embodied technical progress. The aim of the paper is to analyze the impact of investment specific technical progress on the optimal allocation of investment, economic growth and structural change.

We develop a new approach for solving the optimal retirement problem for an individual with an unhedgeable income risk. The income risk stems from a forced unemployment event, which occurs as an exponentially-distributed random shock. The optimal retirement problem is to determine the individual’s optimal consumption and investment behaviors and optimal retirement time simultaneously. We introd...

In this paper we extend the standard human capital model with the probability of becoming unemployed and uncertainty about future earnings. Our analysis deviates from earlier human capital cum uncertainty models in assuming risk neutral decision-makers. This allows a straightforward comparison with the standard model and also facilitates calculations of unemployment and uncertainty accounted ra...

By postulating a simple stochastic process for the firm’s cash flows in which the drift and the variance of the process depend on the investment policy of the firm, we develop a theoretical model, determine the optimal investment policy and, given this policy, calculate the ratio of the current value of the firm and the current cash flow which we call the “cash flow multiplier”. The main contri...