00:02
Let's first calculate the weights of each stock in the market portfolio.
00:06
For stock a, the market value would be 200 times 4, which is $800.
00:16
For stock b, that would be 300 times $4, or $1 ,200.
00:26
So the total market value would be 800 plus 12, or $2 ,000.
00:31
The weights now can be calculated the weight of a would be 800 over 2000 which is 0 .4 and the weight for stock b would be 1200 out of 2000 which is 0 .6 so the expected return of the market portfolio would be the weight of stock a times the expected probability plus the weight of stock b times its expected rate and this is 0 .128 or 12 .8 percent.
01:40
Now the volatility of the market portfolio.
01:47
Volatility is the standard deviation and that's going to be well i'll calculate in a moment the volatility of stock a is 0 .30 and the volatility of stock b is 0 .15 and so the volatility of the market portfolio would be the square root of the weight of of stock a squared times the volatility of a squared plus the weight of b squared times the volatility of b squared plus two times the weight of a times the weight of b times the volatility of a times the weight of a times the weight, the volatility of b...