Quote:
Originally Posted by kokiri
That's slight of hand aka bad maths
I don't think it is.
If you have two investments that have a projected return of 10% and one has a higher variance, it is worth less than the one with lower variance for a few reasons, but one is compounding. This is due to the nature of math. If you have two numbers A and B that sum to X, and multiply those numbers together, the product will be higher the closer A and B are, and is highest if A = B = X/2.
I guess if you are saying that the securities have an APR, the variance is already figured in and that APR is a geometric mean, you can argue that. I am talking about a situation where you have say
Investment A will give you an expected return of 10% with a standard deviation of 30%
Investment B will give you an expected return of 10% with a standard deviation of 5%
Investment B is worth more *assuming of course you are going to reinvest the capital.
If this is wrong please explain it to me.