Finance - Comparisons of methods of causal inference - Instrumental variable

3 important questions on Finance - Comparisons of methods of causal inference - Instrumental variable

What is an instrumental variable?

There is a variable that affects the dependent variable (Y) only through the endogenous variable (X)

What are the two conditions for the instrumental variable Z?

1. Internal validity: Z is correlated with x
Cov(z,x) is not 0
- Check Z test: >10

2. Exclusion restriction: Z is uncorrelated with the error term
Cov (z,e)=0
(so effect on the Y other than via X)

What is the stata command for the IV regression?

Ivreg2 y x1 (x2=x_Z)

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