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that is, <strong>the</strong> differential between property values in <strong>the</strong> 500-foot ring and property values<br />

f<strong>or</strong> all buildings shrunk by 32 percentage points. Property values were still below those<br />

overall, but <strong>the</strong> differential appears to shrink considerably after <strong>the</strong> construction <strong>of</strong> <strong>the</strong>se<br />

homeownership projects. As shown, <strong>the</strong> differential between property values in <strong>the</strong> ring<br />

and those in <strong>the</strong> 34 community districts actually rises in year 3, but still remains 23<br />

percentage points lower than it was pri<strong>or</strong> to <strong>the</strong> completion <strong>of</strong> a development.<br />

Figure 6: Differences in Differences<br />

Percentage Difference Between Price in 500-Foot Ring and Average Annual Price,<br />

by Time from Development<br />

Ring Price<br />

Relative to<br />

Average Price<br />

Diff-in-Diff<br />

(Relative to Diff<br />

Bef<strong>or</strong>e<br />

Completion)<br />

Standard Err<strong>or</strong><br />

(Dff-in-Dff)<br />

Bef<strong>or</strong>e completion<br />

<strong>of</strong> development -0.605<br />

After completion<br />

1 year -0.290 0.315 0.026 12.3<br />

2 years -0.293 0.312 0.027 11.6<br />

3 years -0.366 0.239 0.028 8.7<br />

4years -0.337 0.269 0.025 10.6<br />

5 years -0.354 0.251 0.029 8.5<br />

T-statistic<br />

(Diff-in-Diff)<br />

The real question, <strong>of</strong> course, is whe<strong>the</strong>r this same st<strong>or</strong>y persists after we control<br />

f<strong>or</strong> property characteristics and changes in local neighb<strong>or</strong>hoods. To isolate <strong>the</strong> influence<br />

<strong>of</strong> proximity to a completed homeownership project, we estimate <strong>the</strong> regressions<br />

discussed above, in which <strong>the</strong> dependent variable is <strong>the</strong> log <strong>of</strong> <strong>the</strong> sales price per unit, and<br />

which control f<strong>or</strong> building and local neighb<strong>or</strong>hood characteristics and include a full<br />

complement <strong>of</strong> community district and year interaction effects (CD*Year fixed effects). 15<br />

This controls f<strong>or</strong> a community district-specific trend in housing prices and thus allows us<br />

to test whe<strong>the</strong>r any shift in housing prices (ei<strong>the</strong>r level <strong>or</strong> trend) that occurs after <strong>the</strong><br />

homeownership properties are constructed is distinct from <strong>the</strong> pattern <strong>of</strong> prices in <strong>the</strong><br />

surrounding community district.<br />

15 We effectively include 25 dummy variables (a different dummy f<strong>or</strong> each year from 1975–1999) f<strong>or</strong> each<br />

<strong>of</strong> <strong>the</strong> 34 community districts in <strong>the</strong> sample, f<strong>or</strong> a total <strong>of</strong> 850 dummy variables.<br />

19

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