NBER WORKING PAPER SERIES THE EFFECT OF IMMIGRATION ON NATIVE SELF-EMPLOYMENT. Robert W. Fairlie Bruce D. Meyer

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NBER WORKING PAPER SERIES THE EFFECT OF IMMIGRATION ON NATIVE SELF-EMPLOYMENT Robert W. Fairlie Bruce D. Meyer Working Paper 7561 http://www.nber.org/papers/w7561 NATIONAL BUREAU OF ECONOMIC RESEARCH 1050 Massachusetts Avenue Cambridge, MA 02138 February 2000 We would like to thank seminar participants at the University of California, Berkeley for their comments and suggestions. Partial support for Fairlie was provided by National Science Foundation Grant SBR-9809266 Alessandra Cassar and Steven Anderson provided research assistance. The views expressed herein are those of the authors and are not necessarily those of the National Bureau of Economic Research. 2000 by Robert W. Fairlie and Bruce D. Meyer. All rights reserved. Short sections of text, not to exceed two paragraphs, may be quoted without explicit permission provided that full credit, including notice, is given to the source.

The Effect of Immigration on Native Self-Employment Robert W. Fairlie and Bruce D. Meyer NBER Working Paper No. 7561 February 2000 JEL No. J23, J61 ABSTRACT A rapidly growing literature examines the impact of immigrants on the labor market outcomes of native-born Americans. However, the impact of immigration on natives in selfemployment has not been examined, despite the over-representation of immigrants in that sector. We first present a new general equilibrium model of self-employment and wage/salary work. For a range of plausible parameter values, the model predicts small negative effects of immigration on native self-employment rates and earnings. Using 1980 and 1990 Census microdata, we then examine the relationship between changes in immigration and native self-employment rates and earnings across 132 of the largest metropolitan areas in the United States. We find evidence supporting the hypothesis that self-employed immigrants displace self-employed natives. The effects are much larger than those predicted by simulations of the theoretical model. Immigrants, however, do not have a negative effect on native self-employment earnings. Our findings are similar if we weight immigration rates by the propensity of immigrant groups to be self-employed or if we try alternative estimation techniques and specifications. Robert W. Fairlie Bruce D. Meyer Department of Economics Department of Economics Social Sciences I Northwestern University University of California 2003 Sheridan Road Santa Cruz, CA 95064 Evanston, IL 60208 rfairlie@cats.ucsc.edu and NBER bmeyer@nwu.edu

Table 1 Native Self-Employment Measures and Immigrant Share for 132 Metropolitan Area Sample 1980 and 1990 Census 1980 1990 Change Native Men Self-Employment Rate 10.0% 10.5% 0.5% Self-Employment Ratio 10.9% 11.5% 0.6% Mean Log SE Earnings (Rate) 10.22 10.17-0.04 Mean Log SE Earnings (Ratio) 9.70 9.70 0.00 Native Women Self-Employment Rate 3.7% 5.6% 2.0% Self-Employment Ratio 3.3% 5.7% 2.4% Mean Log SE Earnings (Rate) 8.99 9.17 0.18 Mean Log SE Earnings (Ratio) 7.66 8.05 0.40 Immigrant Share of Population 8.4% 12.1% 3.6% Notes: From 132 metropolitan area sample of those aged 16-64. The self-employment rate is the fraction of the employed that is self-employed. The self-employment ratio is the fraction of the noninstitutional, not in school population that is self-employed. Census sample weights are used in 1990.

Table 2 Simulated Effects of Immigration on Native Wage and Native Employment in Self-Employment Sector Simulation Parameters Implied Effects of Immigration ε η β ρ dw s / dn i W s N dl n s dn i N n L i s 0.20-0.20 0.12 1.20-0.488-0.072 0.50-0.50 0.12 1.20-0.195-0.072 1.00-1.00 0.12 1.20-0.098-0.072 2.00-2.00 0.12 1.20-0.049-0.072 0.20-0.20 0.12 1.30-0.724-0.098 0.50-0.50 0.12 1.30-0.290-0.098 1.00-1.00 0.12 1.30-0.145-0.098 2.00-2.00 0.12 1.30-0.072-0.098 Notes: See the text for the model assumptions and the justification of the proposed parameters.

Table 3 Two-Stage Probit Estimates for Probability of Self-Employment 1980 to 1990 First-Difference Second-Stage Regressions Self-Employment Rate Self-Employment Ratio GLS OLS IV GLS OLS IV (1) (2) (3) (4) (5) (6) Native Men I. Immigrant Share -0.7481-0.7649-0.9685-0.6926-0.8054-0.5229 (0.2328) (0.2498) (0.2937) (0.2107) (0.2245) (0.2660) Scaled Derivative -0.6452-0.6597-0.8353-0.5743-0.6678-0.4336 II. Weighted Immigrant Share -0.8165-0.8458-0.9897-0.7025-0.8377-0.4519 (0.2627) (0.2820) (0.3366) (0.2412) (0.2570) (0.3085) Scaled Derivative -0.7042-0.7294-0.8535-0.5825-0.6946-0.3747 Native Women I. Immigrant Share -0.4402-0.2583-0.5461-0.3363-0.2771-0.3885 (0.2093) (0.2887) (0.2515) (0.2360) (0.2663) (0.2935) Scaled Derivative -0.1555-0.0913-0.1930-0.1440-0.1186-0.1664 II. Weighted Immigrant Share -0.4703-0.2859-0.5133-0.3833-0.3549-0.3444 (0.2311) (0.3214) (0.2907) (0.2645) (0.3007) (0.3364) Scaled Derivative -0.1662-0.1010-0.1814-0.1641-0.1519-0.1474 Notes: From 132 metropolitan area sample of native-born nonblacks aged 16-64. The IV columns use the 1980 immigration variable to instrument for the change between 1980 and 1990. Standard errors are reported in parentheses. The scaled derivative approximates the change in the number of self-employed natives when the number of self-employed immigrants increases by one. The weighted immigrant share weights immigrant groups by their self-employment rate (or ratio). All specifications include 1980 to 1990 changes in log average income of natives, native unemployment rate, and log native population.

Table 4 Two-Stage Log Self-Employment Earnings Regressions 1980 to 1990 First-Difference Second-Stage Regressions Self-Employment Rate Self-Employment Ratio Definition Definition GLS OLS IV GLS OLS IV (1) (2) (3) (4) (5) (6) Native Men I. Immigrant Share 2.4909 1.7168 3.2020 3.0323 2.1137 3.7693 (0.1494) (0.3063) (0.1679) (0.2138) (0.4119) (0.2406) Scaled Derivative 0.0907 0.0625 0.1166 0.1104 0.0769 0.1372 II. Weighted Immigrant Share 2.8679 2.2222 3.7475 3.4683 2.6765 4.3491 (0.1593) (0.3313) (0.1874) (0.2258) (0.4494) (0.2661) Scaled Derivative 0.1044 0.0809 0.1364 0.1262 0.0974 0.1583 Native Women I. Immigrant Share 2.3683 1.8005 3.0046 1.6201 1.6314 2.3944 (0.3142) (0.6421) (0.3514) (0.4423) (0.8657) (0.4957) Scaled Derivative 0.0862 0.0655 0.1094 0.0590 0.0594 0.0872 II. Weighted Immigrant Share 2.7817 2.3173 3.6573 2.0354 1.7434 3.2051 (0.3360) (0.6994) (0.3929) (0.4687) (0.9481) (0.5504) Scaled Derivative 0.1013 0.0844 0.1331 0.0741 0.0635 0.1167 Notes: From 132 metropolitan area sample of native-born nonblacks aged 16-64. The IV columns use the 1980 immigration variable to instrument for the change between 1980 and 1990. Standard errors are reported in parentheses. The scaled derivative approximates the change in native log self-employment earnings when the immigrant share increases by the change from 1980 to 1990 for our sample of 132 MAs (=0.0364). The weighted immigrant share weights immigrant groups by their self-employment rate (or ratio). All specifications include 1980 to 1990 changes in native unemployment rate and log native population.

Sample Table 5 Two-Stage Probit Estimates for Probability of Self-Employment 1980 to 1990 First-Difference Second-Stage Regressions by Education Level Self-Employment Rate GLS GLS GLS GLS (1) (2) (3) (4) High School Some College Graduate College Graduate High School Dropout Native Men I. Immigrant Share -1.0777-0.6472-0.2073-0.1244 (0.3895) (0.3065) (0.2905) (0.2388) Scaled Derivative -0.1510-0.1710-0.0490-0.0393 II. Weighted Immigrant Share -1.0804-0.6904-0.2610-0.1595 (0.4430) (0.3456) (0.3283) (0.2649) Scaled Derivative -0.1514-0.1824-0.0616-0.0503 Native Women I. Immigrant Share -0.3535-0.2973-0.5585-0.5803 (0.4726) (0.2479) (0.2162) (0.4145) Scaled Derivative -0.0163-0.0396-0.0638-0.0578 II. Weighted Immigrant Share -0.3517-0.2861-0.6280-0.6208 (0.5300) (0.2753) (0.2341) (0.4610) Scaled Derivative -0.0162-0.0381-0.0717-0.0619 Notes: From 132 metropolitan area sample of native-born nonblacks aged 16-64. All specifications use GLS and are for the self-employment rate. Standard errors are reported in parentheses. The scaled derivative approximates the change in the number of self-employed natives when the number of self-employed immigrants increases by one. The weighted immigrant share weights immigrant groups by their selfemployment rate. All specifications include 1980 to 1990 changes in log average income of natives, native unemployment rate, and log native population.

Sample Table 6 Two-Stage Log Self-Employment Earnings Regressions 1980 to 1990 First-Difference Second-Stage Regressions by Education Level Self-Employment Rate Definition GLS GLS GLS GLS (1) (2) (3) (4) High School Some College Graduate College Graduate High School Dropout Native Men I. Immigrant Share 2.6426 2.9366 2.0352 2.4884 (0.4483) (0.3034) (0.3076) (0.2390) Scaled Derivative 0.0962 0.1069 0.0741 0.0906 II. Weighted Immigrant Share 3.2169 3.4411 2.3359 2.7305 (0.4782) (0.3217) (0.3317) (0.2539) Scaled Derivative 0.1171 0.1253 0.0850 0.0994 Native Women I. Immigrant Share 0.8548 1.6759 2.7280 2.2073 (0.9245) (0.5600) (0.5738) (0.6641) Scaled Derivative 0.0311 0.0610 0.0993 0.0804 II. Weighted Immigrant Share 0.9927 1.8921 3.1935 2.5308 (0.9985) (0.5973) (0.6207) (0.7044) Scaled Derivative 0.0361 0.0689 0.1162 0.0921 Notes: All specifications use GLS and the self-employment rate definition. From 132 metropolitan area sample of native-born nonblacks aged 16-64. Standard errors are reported in parentheses. The scaled derivative approximates the change in native log self-employment earnings when the immigrant share increases by the change from 1980 to 1990 for our sample of 132 MAs (=0.0364). The weighted immigrant share weights immigrant groups by their self-employment rate. All specifications include 1980 to 1990 changes in native unemployment rate and log native population.

Figure 1 Change in Male Self-Employment Rate Versus Change in Immigrant Share (1980 to 1990) 0.02 Change in Self-Employment Rate 0.00-0.02-0.04 DT PH CH BS NY DC DL HO SF LA -0.06-0.08-0.01 0.01 0.03 0.05 0.07 0.09 0.11 0.13 Change in Immigrant Share

Figure 2 Change in Female Self-Employment Rate Versus Change in Immigrant Share (1980 to 1990) 0.04 SF Change in Self-Employment Rate 0.02 0.00 DT PH CH BS DC NY DL HO LA -0.02-0.01 0.01 0.03 0.05 0.07 0.09 0.11 0.13 Change in Immigrant Share

Figure 3 Change in Male Average Log Self-Employment Earnings Versus Change in Immigrant Share (1980 to 1990) 0.30 Change in Average Log Self-Employment Earnings 0.20 0.10 0.00-0.10-0.20-0.30-0.40-0.50 DT PH CH BS DC DL NY HO SF LA -0.60-0.01 0.01 0.03 0.05 0.07 0.09 0.11 0.13 Change in Immigrant Share

Figure 4 Change in Female Average Log Self-Employment Earnings Versus Change in Immigrant Share (1980 to 1990) 0.90 Change in Average Log Self-Employment Earnings 0.70 0.50 0.30 0.10-0.10-0.30-0.50 DT PH CH BS DCNY DL HO SF LA -0.70-0.01 0.01 0.03 0.05 0.07 0.09 0.11 0.13 Change in Immigrant Share