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...

During the past few decades, there has been a steady shift from traditional defined benefit (DB) pension plans to defined contribution (DC) pension plans. In a DC pension plan, retirees have to make decisions on how to spend their accumulated retirement funds. Although it has been proved...

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...