essays in public finance and industrial organization a dissertation ...
essays in public finance and industrial organization a dissertation ...
essays in public finance and industrial organization a dissertation ...
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CHAPTER 3. MEDIGAP 120<br />
estimates, is that “Medigap policyholders use at least 25 percent more services than<br />
Medicare enrollees who have no supplemental coverage.” Yet, as po<strong>in</strong>ted out by ?, the<br />
research CBO draws upon does not account for selection <strong>in</strong> Medigap enrollment <strong>and</strong><br />
may be biased. In particular, Lemiuex et al. argue that selection is probably adverse,<br />
lead<strong>in</strong>g these studies to overestimate the impact of Medigap on costs. Recent work,<br />
however, f<strong>in</strong>ds little or no evidence of adverse selection <strong>in</strong>to Medigap. 5 In fact, Fang<br />
et al. (2008) f<strong>in</strong>d evidence of significant advantageous selection <strong>in</strong>to Medigap. The<br />
authors argue that this advantageous selection is driven by cognitive ability, which is<br />
correlated with better health.<br />
We view our study as a natural next step <strong>in</strong> this literature. Our approach addresses<br />
the issue of selection by us<strong>in</strong>g plausibly exogenous variation <strong>in</strong> Medigap premiums.<br />
In particular, we take advantage of the fact that there is substantial with<strong>in</strong>-state<br />
variation costs but limited with<strong>in</strong>-state variation <strong>in</strong> premiums <strong>in</strong> the Medigap market.<br />
Us<strong>in</strong>g local medical costs as a control, we f<strong>in</strong>d that with<strong>in</strong>-state but out of locality<br />
medical costs are a powerful predictor of premiums, provid<strong>in</strong>g us with a source of<br />
premium variation that is unrelated to unobserved determ<strong>in</strong>ants of <strong>in</strong>dividual medical<br />
costs. We estimate a Medigap selection equation us<strong>in</strong>g this variation to identify the<br />
premium elasticity of Medigap dem<strong>and</strong>. Us<strong>in</strong>g the predicted values from this selection<br />
equation to <strong>in</strong>strument for Medigap enrollment, we consistently estimate the impact<br />
of Medigap on medical utilization.<br />
Our ma<strong>in</strong> f<strong>in</strong>d<strong>in</strong>g is Medigap coverage <strong>in</strong>creases overall medical costs by 57 percent<br />
on the marg<strong>in</strong>. The effect is about 40 percent larger than comparable OLS estimates,<br />
consistent with advantageous selection. We also f<strong>in</strong>d that Medigap dem<strong>and</strong> is mod-<br />
erately elastic, with our preferred estimate <strong>in</strong>dicat<strong>in</strong>g that a 10 percent <strong>in</strong>crease <strong>in</strong><br />
premiums reduces take-up by 4.7 percentage po<strong>in</strong>ts. Both the Medigap effect <strong>and</strong><br />
dem<strong>and</strong> semi-elasticity are precisely estimated <strong>and</strong> robust to alternative functional<br />
forms <strong>and</strong> sets of controls.<br />
In addition to <strong>in</strong>dicat<strong>in</strong>g advantageous selection, the 40 percent larger <strong>in</strong>strumen-<br />
tal variables estimates for the effect of Medigap are consistent with heightened moral<br />
5 These papers <strong>in</strong>clude ?, ?, ?, <strong>and</strong> ?.