In: Finance
Consider the following two stocks.
| Probabilities (pi ) | Stock "a" | Stock "b" | |
| Recession | p1= 31% | -4% | 4% | 
| Normal | p2= 26% | 7% | -4% | 
| Boom | p3= 43% | 11% | 26% | 
Expected Return
r¯a = 5.31
r¯b = 11.38
Standard Deviation
SDa = 6.44
SDb = 13.05
Question:
Using the correct answers from the previous questions, what is the covariance between the two stocks? Enter your answer rounded to 2 decimal places.
Cov(a, b) = ?
| 
 Probability  | 
 Stock a  | 
 Stock b  | 
 Deviation Stock a  | 
 Deviation Stock b  | 
|
| 
 Recession  | 
 31%  | 
 (4.00)  | 
 4.00  | 
 (9.31)  | 
 (7.38)  | 
| 
 Normal  | 
 26%  | 
 7.00  | 
 (4.00)  | 
 1.69  | 
 (15.38)  | 
| 
 Boom  | 
 43%  | 
 11.00  | 
 26.00  | 
 5.69  | 
 14.62  | 
Covariance between Stock a and Stock b = Σ P*Deviation Stock a*Deviation Stock b
= 31%*(-9.31)*(-7.38)+26%*1.69*(-15.38)+43%*5.69*14.62
= 50.31