Defined Contribution Pension Schemes Research Articles

Optimal additional voluntary contribution in DC pension schemes to manage inadequacy risk

AbstractIn defined contribution pension schemes the member bears the investment risk and her main concern is to obtain an inadequate fund at retirement. To address inadequacy risk, flexibility is often given to the member to pay additional voluntary contributions (AVCs) into the fund. In many countries the AVC schemes allow members of the workplace pension plan to increase the amount of retirement benefits by paying extra contributions. In this paper, we define a target-based optimization problem where the member of an AVC scheme can choose at any time the investment strategy and the AVCs to the fund. In setting the problem, the member faces a trade-off between the importance given to the stability of payments during the accumulation phase and the achievement of the desired annuity at retirement. We derive closed-form solutions via dynamic programming and prove that (i) the optimal fund never reaches the target final fund, (ii) the optimal amount invested in the risky asset is positive, and (iii) the optimal AVC is higher than the target one. We run numerical simulations to allow for different member’s preferences, and perform sensitivity analyses to assess the controls’ robustness.

Optimal investment in defined contribution pension schemes with forward utility preferences

Optimal investment strategies of an individual worker during the accumulation phase in the defined contribution pension scheme have been well studied in the literature. Most of them adopted the classical backward model and approach, but any pre-specifications of retirement time, preferences, and market environment models do not often hold in such a prolonged horizon of the pension scheme. Pre-commitment to ensure the time-consistency of an optimal investment strategy derived from the backward model and approach leads the supposedly optimal strategy to be sub-optimal in the actual realizations. This paper revisits the optimal investment problem for the worker during the accumulation phase in the defined contribution pension scheme, via the forward preferences, in which an environment-adapting strategy is able to hold optimality and time-consistency together. Stochastic partial differential equation representation for the worker's forward preferences is illustrated. This paper constructs two of the forward utility preferences and solves the corresponding optimal investment strategies, in the cases of initial power and exponential utility functions.

Sustainability of the Public Servant’s Pension Scheme in Sri Lanka

Despite the global trend towards defined-contribution pension schemes, many public service pensions continue to follow defined-benefit structures, imposing a significant fiscal burden. This paper analyses the main public sector pension scheme in Sri Lanka in a context where the population is ageing rapidly and the government faces strong fiscal constraints. The study aims to forecast the costs of the Public Servants’ pension scheme and quantitatively evaluate policy options for improving fiscal sustainability. The study extends the model of Rannan-Eliya et al. (1998) using detailed data on the number and age structure of pensioners as well as information on public sector wages, inflation, and GDP growth. The model’s output is validated using observed pension costs from 2016-2022, and projections and policy simulations are carried out for 2023-2027. The study finds that expenditure on the scheme is estimated to increase by 6% annually and 10% over the next five years in real terms. Reducing the generosity of pension payments, raising the retirement age, suspending gratuity payments temporarily, and reducing the replacement rate for new retirees result in significant reductions to the annual pension bill, although the latter two options are unlikely to be politically feasible.

A Guaranteed-Return Structured Product as an Investment Risk-Hedging Instrument in Pension Savings Plans

This study proposes a structured product (SP) for hedging defined contribution pension fund members against capital market risk. Using Monte Carlo simulations on three different guaranteed returns to test the investment strategy of the SP against a balanced investment portfolio, we measure their performance across a wide variety of capital market returns and risk scenarios. The results show that the SP guarantees a minimal return on the pension savings portfolio and offers a higher portfolio return at a lower investment risk, compared with the balanced investment portfolio. We conclude that the SP may become popular among pension fund members, potentially leading to improved risk management, greater competition, and investment strategy innovations for defined contribution pension schemes.

Hedging longevity risk in defined contribution pension schemes

Pension schemes all over the world are under increasing pressure to efficiently hedge longevity risk imposed by ageing populations. In this work, we study an optimal investment problem for a defined contribution pension scheme that decides to hedge longevity risk using a mortality-linked security, typically a longevity bond. The pension scheme promises a minimum guarantee which allows the members to purchase lifetime annuities upon retirement. The scheme manager invests in the risky and riskless assets available on the market, including the longevity bond. We transform the corresponding constrained optimal investment problem into a single investment portfolio optimization problem by replicating future contributions from members and the minimum guarantee provided by the scheme. We solve the resulting optimization problem using the dynamic programming principle. Through a series of numerical studies, we show that the longevity risk has an important impact on the investment strategy performance. Our results add to the growing evidence supporting the use of mortality-linked securities for efficient hedging of longevity risk.

Financial literacy and behavioural disposition in retirement saving – A study on employee’s preparedness for a fully defined contribution pension scheme in Malaysia

Financial literacy and behavioural disposition in retirement saving – A study on employee’s preparedness for a fully defined contribution pension scheme in Malaysia

Effects of COVID-19 early release of pension funds: The case of Chile.

Amid the extraordinary economic effects of COVID‐19, some policymakers have turned to retirement accounts to support individuals in financial hardship. Given the haste, the long‐term impacts and their heterogeneity have scarcely been analyzed. Using Monte Carlo simulations on the Chilean Social Protection Survey linked with administrative data, this study quantifies the effects of a 10% early release of pension funds. Each withdrawn dollar brings losses of 1.59 dollars in future retirement savings, reducing monthly pension benefits by 7.26%. This policy raises income inadequacy and inequality in retirement, increasing government expenditure by 4.33% to counteract these effects for 65‐year‐old retirees. We propose four policies to mitigate these effects and address the current challenges of most defined contribution pension schemes. Increasing contributions combined with an intragenerational solidarity component shows the biggest impacts. Contribution enforcement, reducing tax evasion, and delaying retirement by at least 1 year via incentives have lower but significant effects.

Novel utility-based life cycle models to optimise income in retirement

The global shift towards defined-contribution pension schemes has been accompanied by asymmetric risks and new responsibilities for households to plan and fund effectively their own retirement over the years. In this study, expressing and combining preferences for consumption, investment, bequest, public pension entitlement and the choice of reverse mortgage products, we develop several utility-based life cycle models to facilitate the complex decision-making process that retired households are required to follow to optimise their retirement income. This optimal policy is given in the form of either an analytical or a numerical solution using stochastic dynamic programming. The timing of this paper coincides with the launch of a reverse mortgage style loan, offered by the Australian federal government and allowing retired households to receive an income stream by taking out a loan against the equity in their home. Calibration is performed using real Australian household data.

IMPACT OF DIFFERENT LIFE-CYCLE SAVING STRATEGIES AND UNEMPLOYMENT ON INDIVIDUAL SAVINGS IN DEFINED CONTRIBUTION PENSION SCHEME IN SLOVAKIA

Searching for the optimal saving strategy is often tied with the life-cycle strategies where only the age of a saver is considered for setting the allocation profile between equities and bonds. Our article contributes to the debate by looking at the performance and adequacy risks arising from applying age-based saving strategies for savers in funded pension schemes. As many studies have proven the shift of the risk onto savers in defined contribution pension schemes under various saving strategies, we contribute to the debate by providing simulations of expected accumulated savings via funded pension scheme under the various life-cycle income profiles and existence of unemployment risk. Using the resampling simulation technique, we compare the fixed and age-based strategies of three different agents with various life-cycle income paths and different unemployment risk. We compare the expected amount of savings and calculate relative indicators comparing the expected monthly benefits, income replacement rate. We look closely on the impact of unemployment on the value of savings and calculate the unemployment factor explaining the value of savings lost due to the periods of unemployment. By combining life-cycle income functions of individuals with different education level and unemployment risk, we show that decisions of implementing low risk saving strategies are suboptimal and lead to a substantial decrease in replacement ratios not only for higher income cohorts but especially for the lowest ones. At the same time, we prove that employing low risk saving strategy leads to the increase of adequacy risk especially driven by the unemployment risk that is higher for lower education individuals. We conclude that age-based life-cycle saving strategies, where the remaining saving horizon is the only factor defining the allocation profile is not the optimal saving strategy and other factors should be considered as well when searching for optimal saving strategy.

Smart defaults: Determining the number of default funds in a pension scheme

We propose a new methodology for the smart design of the default investment fund(s) in occupational defined contribution pension schemes based on the observable characteristics of scheme members. Using a unique dataset of member risk attitudes and characteristics from a survey of a large UK pension scheme, we apply factor analysis to identify single factors for risk aversion, risk capacity and ethical investment preferences, and then apply cluster analysis to these factors to identify two distinct groups of members across age cohorts. We find membership of these clusters depends on a number of personal characteristics, with the principal differentiating feature being that one group had previously engaged with the pension scheme, while the other had not. These identified characteristics can be utilised in the design of smart default funds, including appropriate engagement strategies.

The transition to a multi-pillar pension system: the inherent socio-economic anomaly

PurposeThis paper aims to analytically show that in an over-lapping-generation (OLG) model, low earning cohorts bear unwanted risk and absorb higher economic cost than high earning cohorts do.Design/methodology/approachThis paper aims to consider the individual's risk appetite, using a simple utility function, based on consumptions and discount rates in each period. This paper calibrates the model according to teh Israeli pension system as a representative of a small open developed organization for economic cooperation and development country. Israel is considered as unique case study in the pension landscape, as it implements almost pure defined contribution pension scheme with continuous trend of pension market capitalization (Giorno and Jacques, 2016). Hence, this study finds Israel suitable for examining the theoretical mix of pension scheme. That model enables exploring combined solutions for adequate old age benefits, involving the first and the second pension pillars, under fiscal constraints.FindingsIt comes out that for risk-averse individuals, the optimal degree of funding is negatively correlated to asset returns' volatility and positively correlated to earning decile level. The neglect of risk and individual's current earning level will thus overstate the contribution level and funded percentage from total contributions. Moreover, even in an economy with minimum government intervention, and highly developed private pension fund with high average of rate of return, the authors find it is optimal that the pension system contains a sizeable unfunded pillar. This paper innovates by revealing a socio-economic anomaly in design of mix pension systems in favor of high earning cohorts on the expense of economic loss of low earning cohorts.Practical implicationsThe model presented in this paper could be implemented in countries with mix pension systems, as an alternative to public social transfers or means tested, alleviating poverty and inequality in old age. Additionally, this model could raise the public awareness of the financial sustainability of the unfunded pay-as-you-go pillar to diversify financial risk in pension systems, especially for low earning cohort in society.Social implicationsOne area of research that is particularly relevant in this context concerns the issue of alleviating poverty and income inequality. It is often stressed that the prevention of old age poverty is among the central targets of well-designed pension system (Holzmann and Hinz, 2005). The conceptualization of minimum pension guarantee used in this composition allows to clearly capturing the notion of such a poverty and social targets as an integral part of the pension system rolls.Originality/valueThis paper innovates by revealing a socio-economic anomaly in design of mix pension systems in favor of high earning cohorts on the expense of economic loss of low earning cohorts. That comes to realize through the level of total contribution rates and funded share that are generally optimal for high earning cohorts but not for low earning cohorts. This paper identifies that the effect of anomaly is most significant in a market characterized with high income-inequality level. This paper finds that imposing intra-generational risk sharing instrument in the form of minimum pension guarantee can re-balance pension design among different earning cohorts. This solution demonstrates balancing effect on the entire economy.

Hedging Longevity Risk in Defined Contribution Pension Schemes

Pension schemes all over the world are under increasing pressure to efficiently hedge the longevity risk posed by ageing populations. In this work, we study an optimal investment problem for a defined contribution pension scheme which decides to hedge the longevity risk using a mortality-linked security, typically a longevity bond. The pension scheme invests in the risky assets available in the market, including the longevity bond, by using the contributions from a representative scheme member to ensure a minimum guarantee such that the member is able to purchase a lifetime annuity upon retirement. We transform this constrained optimal investment problem into an unconstrained problem by replicating a self-financing portfolio of future contributions from the member and the minimum guarantee provided by the scheme. We solve the resulting optimisation problem using the dynamic programming principle and through a series of numerical studies reveal that the longevity risk has an important impact on the performance of investment strategies. Our results provide mathematical evidence supporting the use of mortality-linked securities for efficient hedging of the longevity risk.

Accumulative Pension Schemes with Various Decrement Factors

We consider accumulative defined contribution pension schemes with a lump sum payment on retirement. These schemes differ in relation to inheritance and provide various decrement factors. For each scheme, we construct the balance equation and obtain an expression for calculation of gross premium. Payments are made at the end of the insurance event period (survival to retirement age or death or retirement for disability within the accumulation interval). A simulation model was developed to analyze the constructed schemes.

Fairness and annuity divisors for notional defined contribution pension schemes

AbstractThe use of a gender-neutral annuity divisor introduces an intra-generational redistribution from short-lived towards long-lived individuals; this entails a transfer of wealth from males to females and from low socioeconomic groups to high socioeconomic groups. With some subpopulations consisting of females from low socioeconomic groups (or males from high groups), the net effect of the redistribution is unclear. The study aims to quantify the lifetime income redistribution of a generic NDC system using two types of divisor – the demographic and the economic – to compute the amount of an initial pension. With this in mind, the redistribution (actuarial fairness) among subpopulations is assessed through the ratio between the present value of expected pensions received and contributions paid. We find that all subgroups of women and men with high educational attainment benefit from the use of the unisex demographic divisor. This paper also shows that the value of the economic divisor depends markedly on population composition. When mortality differentials by gender and level of education are considered, economic divisors are mostly driven by the longevity effect corresponding to gender.

Effects of COVID-19 Early Release of Pension Funds. The Case of Chile

Amid the extraordinary economic effects of COVID-19, some policymakers have turned to retirement accounts to support individuals in financial hardship. Given the haste, the long-term impacts and their heterogeneity have scarcely been analysed. Using Monte Carlo simulations on the Chilean Social Protection Survey linked with administrative data, this study quantifies the effects of a 10% early release of pension funds. Each withdrawn dollar brings losses of 1.59 dollars in future retirement savings, reducing monthly pension benefits by 7.26%. This policy raises income inadequacy and inequality in retirement, increasing government expenditure by 4.33% to counteract these effects for 65-year-old retirees. We propose four policies to mitigate these effects and address the current challenges of most defined contribution pension schemes. Increasing contributions combined with an intra-generational solidarity component shows the biggest impacts. Contribution enforcement, reducing tax evasion, and delaying retirement by at least one year via incentives have lower but significant effects.

Superannuation and economic security for older Australians: a human rights perspective

ABSTRACT Australia’s superannuation system is considered to be a leading example of an economically sustainable defined contribution pension scheme. This paper, however, examines the Australian superannuation system from a human rights perspective. In particular, it seeks to contribute to the debate surrounding superannuation by considering not only whether current superannuation policy is adequate to meet Australia’s human rights obligations under the International Covenant on Economic, Social and Cultural Rights (the “ICESCR”) in terms of the provision of retirement income, but additionally, it examines whether government policy surrounding the regulation of the superannuation industry and its management of retirement monies has been adequate in terms of the Australian government’s ICESCR obligations. Further, it offers a blueprint for how Australia’s retirement income system can more adequately comply with its ICESCR obligations.

The Motherhood Pension Gap in a Defined Contribution Pension Scheme—the Case of Poland

A gender gap in pensions has recently been discussed in the context of non-discrimination and the sustainability of pension systems. Such systems in Europe are evolving towards strengthening the role of individual contributions from periods of paid work. Among other factors, the women’s pension gap is affected by interruptions in employment arising from care responsibilities. The purpose of this article is to measure the pension gap associated with having children in defined contribution pension systems. Using financial mathematics, the retirement capital of a childless woman (without breaks in work) was determined and compared with mothers of 1–4 children. The results indicate that the motherhood pension gap is approximately 4.5%–9.5%, 7.5%–15%, 9%–20%, and 12.5%–25% for mothers of 1, 2, 3, and 4 children, respectively. Measuring these individual gaps allows the cost of investing in children to be estimated. Significant for systemic and individual decisions is that the gap size is highest by the first and the second child, however the decision about the third child—relevant to the demography as ensuring the generational replacement—means the whole pension gap could rise to 20%. This could help support a policy of counteracting adverse demographic trends in fertility rates through the building of socially sustainable pensions schemes. In terms of future research, it forms the basis for building a gap measurement model that takes into account various drivers of the gender gap.

Hedging Longevity Risk in Defined Contribution Pension Schemes

Pension schemes all over the world are under increasing pressure to efficiently hedge the longevity risk posed by ageing populations. In this work, we study an optimal investment problem for a defined contribution pension scheme which decides to hedge the longevity risk using a mortality-linked security, typically a longevity bond. The pension scheme invests in the risky assets available in the market, including the longevity bond, by using the contributions from a representative scheme member to ensure a minimum guarantee such that the member is able to purchase a lifetime annuity upon retirement. We transform this constrained optimal investment problem into an unconstrained problem by replicating a self-financing portfolio of future contributions from the member and the minimum guarantee provided by the scheme. We solve the resulting optimisation problem using the dynamic programming principle and through a series of numerical studies reveal that the longevity risk has an important impact on the performance of investment strategies. Our results provide mathematical evidence supporting the use of mortality-linked securities for efficient hedging of the longevity risk.

Mean-variance dynamic optimality for DC pension schemes

In this paper we deal with the mean-variance portfolio selection for a defined contribution (DC) pension fund. Since this problem is time-inconsistent, a number of papers have proposed to tackle it through either a Nash equilibrium approach or a precommitment strategy. Here, we adopt the dynamically optimal approach introduced by Pedersen and Peskir (Math Financ Econ 11:137–160, 2017), and we compare the dynamically optimal strategy with the precommitment one. While it is well known that the precommitment strategy is the solution to a target-based problem, we show that the same holds for the dynamically optimal strategy. In particular, the precommitment strategy has a constant target, while the dynamically optimal strategy has a time-varying target whose expectation coincides with the constant target of the previous case. We also show that the expected wealth is the same under the two approaches. Numerical applications show that (i) the median of the risky asset’s share is lower for the precommitment than the dynamically optimal strategy; (ii) the amount of money invested in the precommitment risky portfolio is highly more volatile than in the dynamically optimal case; (iii) the variance of wealth is lower with the precommitment strategy than with the dynamically optimal one; (iv) under scenarios of extreme market returns (either good or bad), the dynamically optimal strategy allows a more effective reaction because of the continuous adjustment of the final target.

Novel Utility-Based Life Cycle Models to Optimize Income in Retirement in the Presence of Heterogeneous Preferences

The global shift towards defined-contribution pension schemes has been accompanied by asymmetric risks and new responsibilities for households to plan and fund effectively their own retirement over the years. In this study, expressing and combining preferences for consumption, investment, bequest, public pension entitlement and the choice of reverse mortgage products, we develop several utility-based life cycle models to facilitate the complex decision-making process that retired households are required to follow to optimise their retirement income. This optimal policy is given in the form of either an analytical or a numerical solution using stochastic dynamic programming. The timing of this paper coincides with the launch of a reverse mortgage style loan, offered by the Australian federal government and allowing retired households to receive an income stream by taking out a loan against the equity in their home. Calibration is performed using real Australian household data.