The answer that best explains the historical betas for stocks A and B is bA 0; bB = 0, since a stock B's beta would be zero if its average yearly return were steady and constant. When the market's average annual return is lower or less, stock A's average annual return increases, which denotes that its beta is negative.
You can get year-end, daily beta using the CRSP database, accessible through Wharton Research Data Services (WRDS). Select CRSP from the WRDS home page.
For instance, Yahoo provides beta for the last three years against the S&P 500, but you require beta for the FTSE 100 during the five years from 1995 to 2000.
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