How Individuals React to Defined Benefit Pension Risk

Optimal risk management in defined benefit stochastic pension funds

We consider a continuous time dynamic pension funding model in a defined benefit plan of an employment system. The benefits liabilities are random, given by a geometric Brownian process. Three different situations are studied regarding the investment decisions taken by the sponsoring employer: in the first, the fund is invested at a constant, risk-free rate of interest; in the second, the promo...

A Defined Benefit Pension Fund ALM Model through Multistage Stochastic Programming

We consider an asset-liability management (ALM) problem for a defined benefit pension fund (PF). The PF manager is assumed to follow a maximal fund valuation problem facing an extended set of risk factors:  due to the longevity of the    PF members, the inflation affecting salaries in real terms and future incomes, interest rates and market factors affecting jointly the PF liability and asset p...

How Investors React to Political Risk

Minimum funding ratios for defined-benefit pension funds*

We compute minimum nominal funding ratios for defined-benefit (DB) plans based on the expected utility that can be achieved in a defined-contribution (DC) pension scheme. Using Monte Carlo simulation, expected utility is computed for three different specifications of utility : power utility,mean-shortfall, andmean-downside deviation.Depending on risk aversion and the level of sophistication ass...

Optimal funding of a defined benefit pension plan

In this paper, we address the issue of determining the optimal contribution rate of a stochastic defined benefit pension fund. The affiliate’s mortality is modelled by a jump process and the benefits paid at retirement are function of the evolution of stochastic salaries. Assets of the fund are invested in cash, stocks and a rolling bond. Interest rates are driven by a Vasicek model. The object...