Wage-price Model:
The model of money wage and price determination is a good example of SEM. According to the model the wage rate is determined by unemployment rate in the economy and the rate of price change (that is, inflation) in an unrestricted labour market. The rate of inflation, on the other hand, is a function of the change in wage rate and money supply.
As the price variable P enters into the wage equation and the wage variable W enters into the price equation, the two variables are jointly dependent on each other. Moreover, the explanatory variable P in and W in price equation are stochastic in nature. Recall that in OLS it is assumed that ,the explanatory variables are not stochastic. Therefore, these stochastic explanatory variables are expectcdly correlated with the stochastic disturbance terms. This correlation violijtes the assumption of OLS that error term is independent of independent variabl'e. Thus the classical OLS method is ,lot applicable for estimation of the parameters of the two equations individually.