Look here's the problem with volatility.
Volatility is like "the ocean".
It can be quiet, and stay that way a long time. Then for "no reason" or (reasons unknown to us), a process similar to the aftershock after a big quake, comes along and "ripples" the markets. These ripples, are part of a process called "long memory process". We try to model these "ripples" and find some way of predicting how long the aftershocks will "rattle" the markets.
This is the reason the exotic math is necessary.
Volatility is like "the ocean".
It can be quiet, and stay that way a long time. Then for "no reason" or (reasons unknown to us), a process similar to the aftershock after a big quake, comes along and "ripples" the markets. These ripples, are part of a process called "long memory process". We try to model these "ripples" and find some way of predicting how long the aftershocks will "rattle" the markets.
This is the reason the exotic math is necessary.