I have seen some differences in how the volatility of a portfolio is calculated from the individual volatilities. My understanding is the formula is:
vol XY = (proportion X^2 *vol Y^2 + proportion Y^2*volY^2 + 2*volX*volX*corXY*propX*propY)^0.5
However in ST5 September 2017 Q 6 iii they seem to use absolute values rather than proportions. So instead of it being (7/11)^2 and (4/11)^2 they've used 0.7^2 and 0.4^2. I can see that depending on the proportions using one formula or the other could give a significantly different answer.
Which formula is correct, or would either be accepted?
vol XY = (proportion X^2 *vol Y^2 + proportion Y^2*volY^2 + 2*volX*volX*corXY*propX*propY)^0.5
However in ST5 September 2017 Q 6 iii they seem to use absolute values rather than proportions. So instead of it being (7/11)^2 and (4/11)^2 they've used 0.7^2 and 0.4^2. I can see that depending on the proportions using one formula or the other could give a significantly different answer.
Which formula is correct, or would either be accepted?