Epstein Secrets

ure papers and vice-versa. The main reason for adopting classical economics was almost accidental. I had previously rejected the dabblings of both Foley and Wright into Marxian economics as misguided foolishness. I was wrong, they were right. My first reason for rejecting Marxian economics was becau

andom walk process has been removed from it's many body background, and individual prices are treated as moving randomly isolated by themselves. But Black-Scholes is simply the diffusion equation, and things don't diffuse with random jumps in a vacuum. The random movements of dust particles undergoing Brownia

that this chaotic motion is noticeable in objects as large as planets. This is not simply the chaos of quantum effects or the stochasticity found in Black-Scholes. This is 'deterministic chaos' or usually 'chaos theory'. The chaos is present even in problems that can be described in exact mathematics and are

ng entropic systems should also remove many of the theoretical problems associated with imaginary Walrasian auctioneers and other such difficulties. Foley has made very significant inroads into this way of carrying out pricing [Foley 1996a, 1996b, 1999, 2002]. 214 EFTA00625342 All of the above for

The research on liquidity suggests two implications for finance that are both quite profound, the first area relates to the pricing models based on Black-Scholes, the second to the pricing of shares under the CAPM. Almost all modern option pricing theory is based on the Black-Scholes model, or other closely-

sible), then it may be that measurement of liquidity might be able to give good timely measures for current volatility that can be used directly in Black-Scholes models; rather than the current practice of imputing from historical volatility. A second significant area of interest for the application of liqui

d considerable effort to applying the correct mathematics, statistical mechanics, to economics. Although primarily modelled in a static environment, Foley's work is profoundly insightful, and demonstrates very clearly how statistical mechanical approaches are more powerful than utility based approache

ists working in finance have not only accepted this, but they have built more and more baroque models on these flimsy foundations. The trouble with Black-Scholes is that it works very well, except when it doesn't. This basic flaw has been pointed out from Mandlebrot onwards, to date with no notice taken. Thi