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tive risk and was first mentioned by Treynor and Black (1973) as the appraisal ratio and later by Grinol
ame level of risk or if the risk is lowered while keeping the same level of return. Unfortunately the SR also suffers some caveats. Hendriksson and Merton (1981) and Dybvig and Ingersoll (1982) for example show that non-linear pay offs limit the applicability of the SR as a performance measure. Goetzm
, specializing in such mathematical models as the Black-Scholes options-pricing model. Later, he began t
first person to publish a paper, expanding the mathematical understanding of this model and coining the "Black-Scholes" title, was Robert C. Merton. Merton and Scholes won the Nobel Prize for their work in 1997, in the field of Economics. Black, who died in 1995, was ineligible, but was mentioned favor
cs in economics is even more frustrating. Merton, Black and Scholes cherry-picked the diffusion equation
oretical economist who is able to model bubbles with a degree of precision. The use of statistical mechanics in economics is even more frustrating. Merton, Black and Scholes cherry-picked the diffusion equation from thermodynamics while completely ignoring its statistical mechanical roots and derivati
of quantum effects or the stochasticity found in Black-Scholes. This is 'deterministic chaos' or usuall
entury Bachelier's work was largely forgotten. The use of random walks in finance was rekindled and ultimately led to the option pricing formulae of Merton, Black and Scholes. Unfortunately the random walk process has been removed from it's many body background, and individual prices are treated as mov
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