2018
DOI: 10.1111/iere.12365
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Idiosyncratic Risk, Aggregate Risk, and the Welfare Effects of Social Security

Abstract: We ask whether a pay-as-you-go financed social security system is welfare improving in an economy with idiosyncratic and aggregate risk. We show that the whole welfare benefit from insurance against both risks is greater than the sum of benefits from insurance against the isolated risks. One reason is the convexity of the welfare gain. The other reason is a direct risk interaction amplifying the utility losses from risk. Our quantitative evaluation shows that introducing a minimum pension leads to sizeable wel… Show more

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Cited by 24 publications
(23 citation statements)
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References 85 publications
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“…For example,Storesletten et al (2001) find the direct effect to be an order of magnitude smaller than the role of cyclical variation in idiosyncratic risk. However, there can be indirect utility "interactions" between aggregate and idiosyncratic risk, which may be large(Harenberg and Ludwig 2019), and which we abstract from here to focus on the role of the idiosyncratic shock distribution.32 When using log-Normal distributions of shocks, a typical approach in the literature is to consider an average distribution, which features the average of expansion and contraction variances, see for exampleStoresletten et al (2001).…”
mentioning
confidence: 99%
“…For example,Storesletten et al (2001) find the direct effect to be an order of magnitude smaller than the role of cyclical variation in idiosyncratic risk. However, there can be indirect utility "interactions" between aggregate and idiosyncratic risk, which may be large(Harenberg and Ludwig 2019), and which we abstract from here to focus on the role of the idiosyncratic shock distribution.32 When using log-Normal distributions of shocks, a typical approach in the literature is to consider an average distribution, which features the average of expansion and contraction variances, see for exampleStoresletten et al (2001).…”
mentioning
confidence: 99%
“…Instead of using a perceived laws of motion for the bond interest rate, like Krusell and Smith (1997) and Algan et al (2009), I use the perceived law of motion for the equity premium. This method facilitates computation, because during the course of solving the model, predicting negative equity premium is eliminated if logarithmic rules are used (see Harenberg and Ludwig (2018)). For details about the solution algorithm, see the Appendix.…”
Section: Solution Methodsmentioning
confidence: 99%
“…Furthermore, Krusell and Smith (1997) add portfolio choice to the model with both idiosyncratic and aggregate risk and allow the households to save in both capital and zero supply bonds. Papers such as Harenberg and Ludwig (2018), Krueger and Kubler (2006) and Gomes et al (2013) add an overlapping-generations (OLG) structure on top of the complexity of Krusell and Smith (1997). One of the more similar models is in Algan et al (2009), which does not have OLG structure, but adds a positive supply of both bonds and capital, which are issued by a leveraged firm.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…For example, Storesletten et al (2001) find the direct effect to be an order of magnitude smaller than the role of cyclical variation in idiosyncratic risk. However, there can be indirect utility "interactions" between aggregate and idiosyncratic risk, which may be large (Harenberg and Ludwig 2019), and which we abstract from here to focus on the role of the idiosyncratic shock distribution.…”
Section: Welfare Costs Of Cyclical Idiosyncratic Riskmentioning
confidence: 99%