A model for general insurance pricing is developed which represents a stochastic generalisation of the discrete model proposed by Taylor (1968). This model determines the insurance premium based both on the breakeven premium and the competing premiums offered by the rest of the insurance market....

A two factor stochastic model is introduced for the two phases of a defined-contribution pension scheme. During the accumulation phase of the pension, the scheme member invests part of their stochastic income in a portfolio of a risky stock and a bond in order to build up sufficient funds for...

Although researchers have shown that purchasing longevity insurance at retirement guarantees pensioners of a high annual income for the rest of their lives, most retirees (who have a choice) choose to take the lump sum and self-manage the portfolio. This is a long-standing puzzle called the...

The improvements in mortality rates have been under investigation in many studies across the 20th century, especially in developed countries. Current literature assumes that mortality indice can be forecasted independently through the model ARIMA (Autoregressive Integrated Moving Average)....