There is growing interest in the design of pension annuities that insure against idiosyncratic longevity risk while pooling and sharing systematic risk. This is partially motivated by the desire to reduce capital and reserve requirements while retaining the value of mortality credits; see for example, Piggott et al. (2005) or Donnelly et al. (2014). In this paper, we generalize the natural retirement income tontine introduced by Milevsky and Salisbury (2015) by combining heterogeneous cohorts into one pool. We engineer this scheme by allocating tontine shares at either a premium or a discount to par based on both the age of the investor and the amount they invest. For example, a 55-year old allocating $10,000 to the tontine might be told to pay $200 per share and receive 50 shares, while a 75-year old allocating $8,000 might pay $40 per share and receive 200 shares. They would all be mixed together into the same tontine pool and each tontine share would have equal income rights. The current paper addresses existence and uniqueness issues and discusses the conditions under which this scheme can be constructed equitably — which is distinct from fairly — even though it isn't optimal for any cohort. As such, this also gives us the opportunity to compare and contrast various pooling schemes that have been proposed in the literature and to differentiate between arrangements that are socially equitable, vs. actuarially fair vs. economically optimal.

In a defined contribution pension system, one of the main risks faced by members refers to the investment of funds. In this context, we discuss which is the most suitable risk measurement for the affiliates to the pension system. Different life-cycle investment strategies are evaluated under this measure for different types of workers. We point out the importance of designing well-suited default investment options in light of the economic behavior of members, characterized by low financial knowledge, inertia and myopia in decision-making. We calibrate a pension risk model for the Chilean economy, including measures of life-cycle income, human capital risk, investment and annuitization risks. Our results suggest that affiliates can gain (loss) around 0.85 percentage points in terms of average replacement rates in return for an increase (decrease) of 1 percentage point in risk, measured as standard deviation of replacement rates. Using a stochastic dominance analysis, we find that there are no dominated strategies when subsidies from the Solidarity Pillar are excluded. When the Solidarity Pillar is considered, the most appropriate investment strategies for affiliates that receive these subsidies are concentrated on the riskier funds. However, this also means that there could be increased pressure on Government spending in order to grant additional benefits to affiliates. Our model has a wide range of practical applications that go from informing affiliates about the degree of uncertainty associated to their expected replacement rate to a guide to evaluate how different investment strategies affect the expected values of affiliates' pensions and their associated risk.

This paper explores the application of ERM-style techniques to pension funds. It uses the term ‘entity-wide risk management’ rather than ‘enterprise risk management’, even though both have the same acronym (‘ERM’), because many pension funds do not view themselves as business ‘enterprises’ as such. Some of the techniques that business enterprises have for managing risk (e.g. raising new capital from shareholders or branching into new business areas if existing ones have unattractive risk-reward characteristics) may not be open to many pension funds. The paper argues that the holistic approach to risk management (and governance) that is a hallmark of ERM is as appropriate to pension funds as it is to any other type of entity. This is the case whether the fund is defined benefit or defined contribution in nature, or a hybrid. It is also the case whether the ‘entity’ is deemed to be the fund itself, the sponsor or the two combined. Indeed, there are aspects of pension arrangements, such as the relationship between the fund and its sponsor, that lend added impetus to the use of ERM-style techniques in practical pension fund management.

The transition from defined-benefit to defined-contribution occupational-pension plans has placed a premium on the participants' or contributors' decision-making competence. Their attitudes to risk and their responses to available investment options can have far-reaching implications for their retirement income. Behavioural research on risk and uncertainty has raised understanding of the limits of individual decision-making, but the social status and demographic characteristics of plan participants may also affect risk perception and pension choices. By studying a random sample of the British adult population, this paper explores the significance of socio-demographic characteristics for pension-related risk attitudes. It is demonstrated that pension-plan participants do not appear to understand the risks associated with different types of retirement savings and pension plans. The paper also shows that the gender, age and income of plan participants can give rise to distinctive risk propensities, and that marital status and, in particular, whether a spouse also has a pension can also have significant consequences for household risk preferences. These results have implications for those segments of the population that are disadvantaged in the labour market. Employer-provided pensions' education and information programmes may have to be more basic and more closely tailored to the social status of pension plan participants than hitherto assumed or hoped.