Social security in an analytically tractable overlapping generations model with aggregate and idiosyncratic risks

Daniel Harenberg and Alexander Ludwig

International Tax and Public Finance, 2015, vol. 22, issue 4, 579-603

Abstract: When markets are incomplete, social security can partially insure against idiosyncratic and aggregate risks. We incorporate both risks into an analytically tractable model with two overlapping generations. We derive the equilibrium dynamics in closed form and show that the joint presence of both risks leads to overproportional risk exposure for households. This implies that the whole benefit from insurance through social security is greater than the sum of the benefits from insurance against each of the two risks in isolation. We measure this through interaction effects which appear even though the two risks are orthogonal by construction. While the interactions unambiguously increase the welfare benefits from insurance, they can increase or decrease the welfare costs from crowding-out of capital formation. The net effect depends on the relative strengths of the opposing forces. Copyright Springer Science+Business Media New York 2015

Keywords: Social security; Idiosyncratic risk; Aggregate risk; Welfare; Insurance; C68; E27; E62; G12; H55 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (20)

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Related works:
Working Paper: Social security in an analytically tractable overlapping generations model with aggregate and idiosyncratic risk (2015)
Working Paper: Social Security in an Analytically Tractable Overlapping Generations Model with Aggregate and Idiosyncratic Risk (2014)
Working Paper: Social Security in an Analytically Tractable Overlapping Generations Model with Aggregate and Idiosyncratic Risk (2014)
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DOI: 10.1007/s10797-015-9368-x

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