On: The infamous coin toss

[nzealand]

If you lose half your wealth, you have to double your wealth to get back to where you were.

The log change intuitively shows this.... log (0.5) = -0.3 & log (2) = 0.3

If you lose three quarters of your wealth, you have to quadruple your wealth to get back to where you where.

Again, log intuitively shows this.... log (0.25) = -0.6 & log (4) =0.6