Question

KNF stock is quite cyclical. In a boom economy, the stock is expected to return 34...

KNF stock is quite cyclical. In a boom economy, the stock is expected to return 34 percent in comparison to 13 percent in a normal economy and a negative 22 percent in a recessionary period. The probability of a recession is 15 percent while the chance of a boom is 4 percent. What is the standard deviation of the returns this stock?

Homework Answers

Answer #1

Ans 13.49%

Stock PROBABILITY RETURN (Y) Return* Probability P * (Y -Average Return of Y)^2
BOOM 4.00% 34.00 1.36 25.83
NORMAL 81.00% 13.00 10.53 15.75
RECESSION 15.00% -22.00 -3.30 140.36
TOTAL 25.00 8.59 181.94
Expected Return = Return * Probability
8.59%
VARIANCE = P * (Y -Average Return of Y)^2
181.9419
Standard Deviation = Square root of (P * (Y -Average Return of Y)^2)
Square root of 181.94
13.49
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