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The tab-delimited text file C359A1S1Q2.txt contains daily prices for the South Korean Stock Exchange Index (KOSPI) from 4/7/2006 (observation 1) to 11/6/2010 (observation 977). Although this is daily data, the data are presented as a sequence of 977 undated observations. The data were obtained from yahoo finance.
a) Build an AR/MA/ARMA model for the daily log returns, explaining the reasons for your choice of model specification. In your answer, present and explain the steps you take to develop the model; present and interpret the estimated model for the final specification you choose; and present and explain the results of any diagnostic testing you consider is appropriate.
b) Is Least Squares (LS) regression suitable for estimation of the model you obtain in Q2a? Explain your answer. If LS is not suitable, what estimation method do you suggest is suitable, and why?
c) Use the ARMA model to produce forecasts for the final 30 days of the sample for the process you obtain in Q2a. Evaluate the forecast performance of your model.
(Assignment Guidance: You will need to re-estimate the chosen model over a shorter estimation period, excluding the final 30 observations. Then use this estimated model to obtain forecasts for the forecasting sample of 30 days. In Eviews, please select the Option Dynamic in the forecast window).
(b) Suppose that the initial conditions are as follows: y0 = 0 and et = 0 for t= 0. Impose the initial conditions in order to find the general solution.
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