Epstein Secrets

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

ee-quarters and can be very stable, as discussed in section 1.3 above. Young gives a good discussion of the national income shares in the US, while Gollin gives a very thorough survey of income shares in more than forty countries [Young 2010, Gollin 2002]. In emerging economies 13 can be much lower, a

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

FT 2011b FT/M 2010 Gabaix 2009 Gaffeo et al 2003 Gallegati et al 2006 gapminder Georgescu-Roegen 1971 Georgia Tech 2010 Glazer & Wark 2001 Gollin 2002 Gould & Tobochnik 2010 Goyenko et al 2009 Griffiths & Tenenbaum 2006 Guardian 2010 Harrison 2005 Harvie 2000 Hayek 1931 Hess & Holzhau

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

on of the national income shares in the US, noting that the overall share is constant even though sector shares show long-term changes [Young 2010]. Gollin gives a very thorough survey of income shares in more than forty countries [Gollin 2002]. Figure 1.3.8 here [St Louis Fed 2004] We will come back