Consider the daily closing prices of the stocks of Billiton Ltd. of Australia and Vale S.A. of

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Consider the daily closing prices of the stocks of Billiton Ltd. of Australia and Vale S.A. of Brazil with tick symbols BHP and VALE, respectively. The data are obtained from Yahoo Finance and the sample period is from July 1, 2002 to March 31, 2006. We use the log-adjusted prices in this exercise. The adjustment is made for stock splits and for dividends. where the data were used to demonstrate pairs trading. The data file is d-bhpvale-0206.txt. Let \(z_{t}\) be the log-adjusted closing prices.

(a) Are the two log prices series cointegrated? Why?

(b) What is the cointegrating vector, if any?

(c) Build an ECM-VAR model for \(\boldsymbol{z}_{t}\).

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