0000000000827595

AUTHOR

Javier Pla-porcel

Integrating Retirement and Long-Term Care (LTC) Annuities Using a Notional Defined Contribution (NDC) Framework

This paper examines the possibility of embedding public long-term care (LTC) insurance within the retirement pension system, i.e. introducing life care annuities (LCAs) into a notional defined contribution (NDC) framework. To do this we develop a multistate overlapping generations model (MOLG) that includes the so-called survivor dividend and give special attention to the assumptions made about mortality rates for dependent persons and LTC incidence rates, which largely determine the contribution rate assigned to LTC. The proposed model could be of interest to policymakers because it could be implemented without too much difficulty, it would universalize LTC coverage with a "fixed" cost, an…

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Converting Retirement Benefit into a Life Care Annuity with Graded Benefits: How Costly Would it Actually Be?

This paper deals with life care annuities, i.e. bundled products comprising a life annuity and long-term care insurance. It aims to assess the cost of converting retirement benefit into a life care annuity with graded benefits using a pre-existing public pay-as-you-go pension scheme. With this objective in mind, we present an actuarial method based on array calculus for valuing this type of life care annuity. The health dynamics of the annuitant rely on a reversible illness-death multistate framework. The paper contains a numerical example in which mortality and disability assumptions are based on data from the USA and Australia, although this should be viewed simply as an illustration. In …

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An NDC approach to helping pensioners cope with the cost of long-term care

The aim of this paper is to analyse whether it would be possible to provide retirement and long-term care benefits using the same unfunded notional defined contribution scheme. We extend the multi-state overlapping generations model developed by Pla-Porcel et al. (2016) to include two new features: a long-term care benefit graded according to the annuitant's degree of disability and a minimum pension benefit for both contingencies. This brings the model closer to the reality of social insurance and enhances its political attractiveness. The paper contains a numerical example to show how the model functions and focuses especially on the mortality rates for dependent persons, the inception ra…

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How Do Unisex Life Care Annuities Embedded in a Pay-As-You-Go Retirement System Affect Gender Redistribution?

This paper deals with the idea of converting retirement benefit into a life care annuity with graded benefits using a pre-existing public pay-as-you-go pension scheme. Based on accurate biometric data from Australia and the US, the paper shows that using gender-neutral annuity factors to compute the initial benefit involves a large increase in ex-ante gender redistribution compared to a system without long-term coverage. In spite of the very different biometric data, the results are surprisingly similar for both countries. To disentangle the hidden redistribution, a methodology based on conversion (actuarial) factors is used. The value of the actuarial factor relies on a multistate framewor…

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LIFE CARE ANNUITIES (LCA) EMBEDDED IN A NOTIONAL DEFINED CONTRIBUTION (NDC) FRAMEWORK

AbstractThis paper examines the possibility of embedding public long-term care (LTC) insurance within the retirement pension system, i.e. introducing life care annuities into a notional defined contribution framework. To do this, we develop a multistate overlapping generations model that includes the so-called survivor dividend and give special attention to the assumptions made about mortality rates for dependent persons and LTC incidence rates, which largely determine the contribution rate assigned to LTC. The proposed model could be of interest to policymakers because it could be implemented without too much difficulty, it would universalize LTC coverage with a “fixed” cost, and it would …

research product

Converting retirement benefit into a life care annuity with graded benefits

AbstractThis paper deals with life care annuities, i.e. bundled products comprising a life annuity and long-term care insurance. It aims to assess the cost of converting retirement benefit into a life care annuity with graded benefits using a pre-existing public pay-as-you-go pension scheme. With this objective in mind, we present an actuarial method based on array calculus for valuing this type of life care annuity. The health dynamics of the annuitant rely on a reversible illness-death multistate framework. The paper contains a numerical example in which mortality and disability assumptions are based on data from the USA and Australia, although this should be viewed simply as an illustrat…

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How do unisex life care annuities embedded in a pay-as-you-go retirement system affect gender redistribution?

This paper aims to assess gender redistribution when using unisex conversion factors to compute the initial benefit of life care annuities (LCAs) embedded in a pay-as-you-go (PAYG) pension system. We use a method based on actuarial factors to disentangle the hidden redistribution of LCAs with graded benefits. The value of the actuarial factor relies on a multistate framework in which transitions are modeled from the initial health state to the absorbing state. According to our calculations for Australia and the US, the amount of gender redistribution is by no means irrelevant. In spite of the very different biometric data, the results are surprisingly similar for both countries. Risk equali…

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