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CHAPTER 3. MEDIGAP 121<br />

hazard for <strong>in</strong>dividuals on the marg<strong>in</strong> of Medigap choice. S<strong>in</strong>ce these marg<strong>in</strong>al <strong>in</strong>di-<br />

viduals are more price sensitive when it comes to premiums, it is natural for them to<br />

be more sensitive to the cost-shar<strong>in</strong>g <strong>in</strong>struments of Medigap, suggest<strong>in</strong>g larger ef-<br />

fects for these marg<strong>in</strong>al <strong>in</strong>dividuals than the average Medigap policyholder. 6 For our<br />

purposes, this feature is a strength of our empirical strategy rather than a weakness.<br />

The effect for <strong>in</strong>dividuals marg<strong>in</strong>al to a change <strong>in</strong> premiums is the effect of <strong>in</strong>terest<br />

for counterfactuals <strong>in</strong>volv<strong>in</strong>g a premium tax or subsidy, as the <strong>in</strong>dividuals identify<strong>in</strong>g<br />

the estimated effect are exactly those who would be affected by such a policy.<br />

We construct back-of-the-envelope policy counterfactuals of taxes <strong>and</strong> subsidies to<br />

Medigap premiums us<strong>in</strong>g our estimated parameters. A 20 percent tax would reduce<br />

coverage by 9.5 percentage po<strong>in</strong>ts, imply<strong>in</strong>g a total budgetary sav<strong>in</strong>gs of 6.2 percent of<br />

Medicare costs of the sample. About 1/4 of the sav<strong>in</strong>gs would come from tax revenues<br />

<strong>and</strong> 3/4 from reduced medical costs. A 40 percent tax would save 11.4 percent <strong>and</strong><br />

a Pigovian tax that fully accounts for the negative fiscal externality would generate<br />

sav<strong>in</strong>gs of 18.1 percent. We note that our parameters are estimated us<strong>in</strong>g modest<br />

premium variation, <strong>and</strong> thus our policy counterfactuals, which <strong>in</strong>volve large taxes<br />

<strong>and</strong> subsidies, should be viewed with some caution. As we discuss below, a more<br />

nuanced tax policy that accounts for offsets might be able to generate both larger<br />

costs sav<strong>in</strong>gs <strong>and</strong> better health.<br />

The rema<strong>in</strong>der of the paper proceeds as follows. Section 3.2 describes background<br />

<strong>in</strong>formation about Medicare <strong>and</strong> the supplemental <strong>in</strong>surance market. Section 3.3<br />

briefly describes the data used <strong>in</strong> our empirical analysis. Section 3.4 presents our<br />

empirical model. In Section 3.5 , we discuss our identification strategy. Results are<br />

presented <strong>in</strong> Section 3.6. Section 3.7 conta<strong>in</strong>s the policy counterfactuals. Section 3.8<br />

concludes.<br />

6 The <strong>in</strong>tuition for this relationship that suggests <strong>in</strong>dividuals at the marg<strong>in</strong> of select<strong>in</strong>g <strong>in</strong>to<br />

<strong>in</strong>surance based on premiums will be more sensitive to reductions <strong>in</strong> co<strong>in</strong>surance. A similar <strong>in</strong>tution<br />

is formalized <strong>in</strong> a model <strong>in</strong> a work<strong>in</strong>g paper by ?. In their paper, the authors refer to this sort of<br />

selection as “selection on moral hazard.”

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