Question: Consider the savings function sav = beta_0 + beta_1 inc + u, u = squareroot inc c* c where e is a random variable with
Consider the savings function sav = beta_0 + beta_1 inc + u, u = squareroot inc c* c where e is a random variable with E(e)= 0 and var(e) = sigma^2_e. Assume that e is independent of inc Show that E(u|inc) = 0, so that the key zero conditional mean assumption is satisfied. Show that homoscedasticity assumption is violated. In particular, the variance of sav increase with inc. Provide a discussion that supports the assumption that the variance of savings increases with family income
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