ECON 3P03 Lecture Notes - Foreign Exchange Spot, Rational Expectations, Independent And Identically Distributed Random Variables

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A change in the way a variable moves (structural shift), changes the way expectations are formed. Agents will take into account the structural change when forming expectations. Suppose that the time-series properties of the exchange rate change as follows: The rational expectation of the spot exchange rate at time t+1, is now given by: Equation (14) demonstrates that under rational expectations agents utilize past shocks that are known ( ) to predict future shocks and improve their forecasts. The prediction error is random and zero on average. 3. efficient markets theory it is the application of rational expectations theory to the pricing of securities. A simple model of stock return is that it should remain constant over time ( , differ from their rational expectation only by a random forecasting error, , which is serially uncorrelated with mean zero, the evolution of stock prices is given by (18) or.

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