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You have $10,000 saved up to invest for a year, and are considering stocks (S) and/or short term Treasury bills (T). The returns from both

You have $10,000 saved up to invest for a year, and are considering stocks (S) and/or short term Treasury bills (T). The returns from both sources are judged uncertain, of course, as the following probability table indicates:

Stocks
-10% 0% 10% 20%
Treasury Bills 6% 0 0 0.10 0.10
8% 0 0.10 0.30 0.20
10% 0.10 0.10 0 0

(1) If you split your investment 40% in stock and 60% in Treasury Bills, what would be the expected return and standard deviation?

(2) Are the return of stock and bond independent?

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