Risk and Return – Part 2. For 9.220, Term 1, 2002/03 02_Lecture13.ppt Instructor Version. Outline. Introduction Looking forward Ex ante expectation, standard deviation, correlation coefficient, and covariance of returns Portfolios Portfolio weights Short selling Expected returns
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For 9.220, Term 1, 2002/03
The formulas below are used to calculate the expected return and standard deviation of returns for a single security when you know the probability of possible states of nature and the corresponding possible returns that the security may generate.
Corr(Ri,Ri)= σi2/(σi●σi) = +1
Stocks 1 and 2 have returns that move very closely together and this is shown by the correlation coefficient close to +1. If we plot stock 2’s returns against stock 1’s returns, we see they almost fall on a straight line.
Stocks 3 and 4 have returns that do not move closely together. This is shown by the correlation coefficient nearer to 0. If we plot stock 4’s returns against stock 3’s returns, we see a slight negative relationship and thus the negative correlation.
Each cell in the table below is xixjσiσjρij
Try calculating the standard deviations of the two-asset portfolios in the handout.
Std. Dev. = .132918501
Std. Dev. = .096020831
100% in Stock 1
100% in Stock 2
100% Stock 1
100% Stock 2