Letter: Bath salts analogy does not hold water
January 25, 2005

The Financial Times

 

From Mr Christopher Whalen.

 

Sir, In his comment "The odds of finding a formula to foretell disaster" (January 18), John Kay makes an amusing reference to the fact that the equations discovered by Myron Scholes (and others, more significantly, such as Robert Merton at Harvard and the late Fisher Black) "to value complex derivatives securities also describe how bath salts disperse in the tub".

 

This is not funny. The dispersal of dissolved salts in water will, over time, equalise in what could be described as a "normal" distribution. In the search for rare events such as Indian Ocean tidal waves or corporate fraud, for example, models that assume normal distributions of events are essentially useless; thus Prof Kay's observation is not amusing but instead desperately urgent.

 

Prof Kay writes that "the scope and achievement of these theories are so great that it is a shock when they do not work". Indeed. My question to our colleagues in the financial world, who largely rely on Merton models to price derivatives, is why any of us can confess surprise at the failure of risk measurement systems that look for early warning by making generalisations about events that are entirely particular and unique.

 

The Harvard professor Eric A. Helfert, in his classic 1967 book Techniques of Financial Analysis, notes that "the main purpose of financial analysis is to provide reasonable clues and answers to specific questions posed by problems of interest to the analyst. It cannot be overemphasised that financial analysis (the use of analytic tools) is not an automatic or standardised process; rather, it is a flexible approach tailored to the needs of the specific situation."

 

Whether you are looking for earthquakes or financial restatements, using models that assume a normal distribution of future events may deprive the analyst of that leisure time required to enjoy a good soak in the tub.

 

Christopher Whalen
Managing Director
Institutional Risk Analytics
Hawthorne, CA 90250, US