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Question
Suppose you have invested only in two stocks, A and B. The returns on the two stocks depend on the following three states of the economy, which are equally likely to happen:
State of Economy Return on Stock A (%) Return on Stock B (%)
Bear 6.30 &nbs p; -3.70
Normal &nbs p; 10.50 &nb sp; 6.40
Bull 15.60   ; &nb sp; 25.30
a.) Calculate the expected return on each stock.
b.) Calculate the standard deviation of returns on each stock.
c.) Calculate the covariance and correlation between the returns on the two stocks.
Optional Information:
Orlando, Florida
Submitted: 1532 days and 13 hours ago.
Category: Finance
Value: $5
Status: CLOSED
Accepted Answer
Let A and B be stochastic variables where A denotes the return on stock A and B denotes the return on stock B.
a)
E[A] = (6.3+10.5+15.6)/3 = 10.8 %
E
= (-3.7+6.4+25.30)/3 = 9.3 %
b)
SD(A) = sqrt([(0.063 - 0.108)² + (0.105 - 0.108)² + (0.156 - 0.108)²]/3) = 0.038026
SD(B) = sqrt([(-0.037 - 0.093)² + (0.064 - 0.093)² + (0.253 - 0.093)²]/3) = 0.1201196
c)
Cov(A, B) = [(0.063 - 0.108)(-0.037 - 0.093) + (0.105 - 0.108)(0.064 - 0.093) + (0.156 - 0.108)(0.253 - 0.093)]/3 = 0.00453996
Corr(A, B) = 0.004539/(0.038026*0.1201196)
Sk1llz
38727.4724021643
Expert:
Sk1llz
Pos. Feedback:
90.0 %
Accepts:
34
Answered:
1/10/2006
Mastermind
Mathematics, Statistics and Physics
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