Accounting and finance professionals have empirically known that in the long run stock prices are roughly proportional to earnings. However, econometric testing could not been able to verify this expected contribution of earnings to stock prices, thus formed the price-earnings (PE) puzzle in the...

This paper seeks to model the adjustment process in the stock market by a continuous time state space model focusing on input-out relations. The value of the S&P 500 is generated as the output of the model with earnings and the interest rate as input. The model is found to fit the data well, and...