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. Author manuscript; available in PMC: 2010 Apr 19.
Published in final edited form as: J Am Stat Assoc. 2008 Sep 1;103(483):1028–1038. doi: 10.1198/016214508000000139

Table 7.

Effect of risk preferences on the share of financial wealth in stocks

Risk tolerance proxy

Control for log risk tolerance None Categorical survey response Ignoring response error Modeling response error Modeling response error Including application covariates

Estimator OLS OLS OLS OLS GMM OLS
Category 3 −.026 (.010)
Category 4 .022 (.012)
Category 5–6 .025 (.011)
Proxy .008 (.003) .146 (.054) .162 (.060) .152 (.056)
Male .024 (.007) .023 (.007) .023 (.007) .023 (.007) .014 (.008) .018 (.008)
Education
 >16 years .034 (.012) .032 (.012) .032 (.012) .031 (.012) .012 (.013) .019 (.014)
 13–16 years .036 (.009) .035 (.009) .035 (.009) .035 (.009) .024 (.009) .029 (.009)
 <12 years −.023 (.009) −.024 (.009) −.023 (.009) −.023 (.009) −.026 (.009) −.024 (.009)
Black −.029 (.009) −.029 (.009) −.029 (.009) −.028 (.009) −.024 (.009) −.027 (.009)
Hispanic −.035 (.012) −.036 (.012) −.035 (.012) −.035 (.012) −.034 (.013) −.038 (.012)
Age/10 −.002 (.008) −.001 (.008) −.001 (.008) −.001 (.008) .006 (.008) .006 (.008)
Log income .002 (.005) .003 (.005) .003 (.005) .002 (.005) .004 (.005) .003 (.005)
Log wealth .046 (.002) .047 (.002) .046 (.002) .046 (.002) .047 (.002) .046 (.002)
R2 .170 .172 .171 .171 .178 .177

NOTE: Regressions include 5,818 households with positive financial wealth and total income in 1992. Individual attributes are from the household's financial respondent. Share of wealth in stocks has a mean of .158 and a standard deviation of .286. Asymptotic standard errors are in parentheses. In the second to last column, the GMM estimates are based on the formula in (25), and the R2 in the last two columns is based on the formula in (28). For the application subsample, the true-to-proxy variance ratio λ is 6.40. In the last column, the proxy is constructed from a model of log risk tolerance that conditions on the application covariates as well as the gamble responses.