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optimal look back period for cointegration analysis on daily prices

I'm running some cointegration tests on 2 stock pairs and was wondering, generally speaking, what would be the optimal look back period to test considering I am using daily prices and the average ...
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Simple EOD computations for tick data

As part of End-Of-Day calculations once a particular market/exchange has closed for all the tickers traded on that market one may typically compute the following properties: OHLC Bid/Ask Price ...