(i) Use NYSE.RAW to estimate equation. Let ĥt. be the fitted values from this equation (the estimates of the conditional variance). How many ĥt are negative?
(ii) Add return1 1 to (12.48) and again compute the fitted values, ĥt . Are any ĥt t negative?
(iii) Use the ĥt from part (ii) to estimate (12.47) by weighted least squares (as in Section 8.4). Compare your estimate of βt with that in equation. Test H0: βt = 0 and compare the outcome when OLS is used.
(iv) Now, estimate (12.47) by WLS, using the estimated ARCH model in (12.51) to obtain the ĥt . Does this change your findings from part (iii)?
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