Portfolio B consists of 15 stocks, 10 of which have beta 1 and idiosyncratic variance 0.02, and 5 of which have beta 1 and idiosyncratic variance 0.04. What is the minimum idiosyncratic variance one can achieve by investing in these stocks? You should assume that the idiosyncratic risks of the stocks included in B are independent across stocks. (Hint: the portfolio that minimises the idiosyncratic variance has equal weights in stocks with the same idiosyncratic variance.)

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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b. Portfolio B consists of 15 stocks, 10 of which have beta 1 and idiosyncratic
variance 0.02, and 5 of which have beta 1 and idiosyncratic variance 0.04.
What is the minimum idiosyncratic variance one can achieve by investing in
these stocks? You should assume that the idiosyncratic risks of the stocks
included in B are independent across stocks. (Hint: the portfolio that minimises
the idiosyncratic variance has equal weights in stocks with the same
idiosyncratic variance.)
Transcribed Image Text:b. Portfolio B consists of 15 stocks, 10 of which have beta 1 and idiosyncratic variance 0.02, and 5 of which have beta 1 and idiosyncratic variance 0.04. What is the minimum idiosyncratic variance one can achieve by investing in these stocks? You should assume that the idiosyncratic risks of the stocks included in B are independent across stocks. (Hint: the portfolio that minimises the idiosyncratic variance has equal weights in stocks with the same idiosyncratic variance.)
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