Risk in a Portfolio Context 119
FIGURE 3-7 Rate of Return Distributions for Two Partially Correlated
Stocks ( 0.67) and for Portfolio WY
Stock W Stock Y Portfolio WY
Year (w)(Y)(p)
1998 40.0% 28.0% 34.0%
1999 (10.0) 20.0 5.0
2000 35.0 41.0 38.0
2001 (5.0) (17.0) (11.0)
2002 15.0 3.0 9.0
Average return 15.0% 15.0% 15.0%
Standard deviation 22.6% 22.6% 20.6%
r r r
r (%)W
_
a. Rates of Return
Stock W
2002
25
0
–15
15
r (%)Y
_ Stock Y
2002
25
0
–15
15
r (%)p
_
Portfolio WY
2002
25
0
–15
15
b. Probability Distribution of Returns
0 15 Percent
Probability
Density
rˆp
Portfolio WY
Stocks W and Y
p