(i) In Example 11.4, it may be that the expected value of the return at time t, given past returns, is a quadratic function of returnt-1. To check this possibility, use the data in NYSE.RAW to estimate returnt = β0 + β1returnt-1 + β2return2t-1 + ut; report the results in standard form.
(ii) State and test the null hypothesis that E(returntreturnt-1) does not depend on returnt-1. (Hint: There are two restrictions to test here.) What do you conclude?
(iii) Drop return2t-1 from the model, but add the interaction term returnt-1•returnt-2. Now test the efficient markets hypothesis.
(iv) What do you conclude about predicting weekly stock returns based on past stock returns?
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