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AnnZ [28]
2 years ago
8

Your portfolio is invested 30 percent each in Stocks A and C, and 40 percent in Stock B. What is the standard deviation of your

portfolio given the following information?
Rate of Return if State Occurs
State of Economy Probability of State of Economy Stock A Stock B Stock C
Boom 0.15 0.31 0.41 0.21
Good 0.60 0.16 0.12 0.10
Poor 0.20 -0.03 -0.06 -0.04
Bust 0.05 -0.11 -0.16 -0.08
Business
1 answer:
Assoli18 [71]2 years ago
5 0

Answer:

portfolio's standard deviation = 6.18%

Explanation:

we must first determine the expected returns for each stock:

stock A = (0.15 x 31%) + (0.6 x 16%) + (0.2 x -3%) + (0.05 x -11%) = 13.1%

stock B = (0.15 x 41%) + (0.6 x 12%) + (0.2 x -6%) + (0.05 x -16%) = 11.35%

stock C = (0.15 x 21%) + (0.6 x 10%) + (0.2 x -4%) + (0.05 x -8%) = 7.95%

then we must determine the variance of each stock's return:

stock A = {[0.15 x (31 - 13.1)²] + [0.6 x (16 - 13.1)²] + [0.2 x (-3- 13.1)²] + [0.05 x (-11 - 13.1)²]} / 4 = (48.0615 + 5.046 + 51.842 + 29.0405) / 4 = 33.4975

stock B = {[0.15 x (41 - 11.35)²] + [0.6 x (12 - 11.35)²] + [0.2 x (-6- 11.35)²] + [0.05 x (-16 - 11.35)²]} / 4 = (131.868375 + 0.2535 + 60.2045 + 37.401125) / 4 = 57.4219

stock C = {[0.15 x (21 - 7.95)²] + [0.6 x (10 - 7.95)²] + [0.2 x (-4- 7.95)²] + [0.05 x (-8 - 7.95)²]} / 4 = (25.545375 + 2.5215 + 28.5605 + 12.720125) / 4 = 17.3369

portfolio's variance = (0.3 x 33.4975) + (0.4 x 57.4219) + (0.3 x 17.3369) = 38.21908

portfolio's standard deviation = √38.21908 = 6.18%

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Answer:

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5 0
3 years ago
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solmaris [256]

Answer:

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Explanation:

Retained earnings at the end = Retained earning at the beginning + Net income - Dividend paid

The net income would increase the balance of the retained earnings hence it is added to it.

The Dividend paid would be a cash outflow which would reduce the balance of the retained earnings, hence it is deducted from it.

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False

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Answer:

a. according to the agreement.

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