In this paper we propose a method for solving in closed form a general class of non-linear modified Hamiltonian dynamic systems (MHDS). This method may be used to analyze some intertemporal optimization problems With a predetermined structure involving unbounded technological constraints. The...

We examine the dimension reduction method and prove that it could be isleading if we try to get some insight tinto the dynamics of the original system from the dynamics of the transformed system alone. The reduced system seemingly may give rise to a continuum multiplicity of steady states when,...

This paper examines the possibility of embedding public long-term care (LTC) insurance within the retirement pension system, i.e. introducing life care annuities (LCAs) into a notional defined contribution (NDC) framework. To do this we develop a multistate overlapping generations model (MOLG)...

In this paper we develop a theoretical basis for drawing up a “Swedish” type actuarial balance sheet for a defined benefit pay-as-you-go (DB PAYG) scheme with retirement and disability benefits. Our model enables us to obtain the system's expected average turnover duration, measure the...

This paper explores a notional defined contribution (NDC) approach aimed at helping pensioners to cope with the cost of long-term care (LTC). It develops the necessary technicalities to fully integrate an LTC benefit, graded according to the annuitant's degree of disability, into a generic NDC...

This paper develops a full accounting model for monitoring the solvency of a notional defined contribution (NDC) pension scheme with disability and minimum pension benefits. Using the annual report of the Swedish pension system as a benchmark (TSPS, 2019), we extend the “Swedish” actuarial...

In this paper we develop a theoretical basis for integrating retirement and permanent disability using a generic NDC framework. The methodology used relies on a multistate overlapping generations model that includes the so-called survivor dividend. Currently this feature can only be found in the...