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A market contains two stocks. Tomorrow, the state of the market could be Superb, Good, Bad or Ugly and this will affect the returns of

A market contains two stocks. Tomorrow, the state of the market could be Superb, Good, Bad or Ugly and this will affect the returns of the stocks denoted by R1 and R2 as shown in the table below.

State of Market

Probability

R1

R2

Superb

0.2

10%

9%

Good

0.4

5%

3%

Bad

0.3

0%

0%

Ugly

0.1

- 2%

- 5%

(Note: The minus sign when market is Ugly)

Based on this information.

(R1, R2) - the correlation of R1 and R2 = 0.968

An investor sets up a portfolio in the two stocks with (w1,w2) = (0.6,0.4). Let the random variable be Rp denote the return of the portfolio.

Calculate the values and probabilities of Rp.

Using this information, calculate the expectation and standard deviation of Rp.

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