Luís A. Nunes Amaral

co-Director, Northwestern Institute on Complex Systems
Professor of Chemical & Biological Engineering
Professor of Physics & Astronomy (by courtesy)
Professor of Medicine (by courtesy)

Chemical & Biological Engineering
2145 Sheridan Road (Room E136)
EvanstonIL 60208US
Phone: (847) 491-7850

Abstract

Classic studies of spot price fluctuations for commodities like cotton and wheat have been interpreted using a power-law probability distribution with exponent alpha inside the Levy-stable regime (0<α<2). In contrast price fluctuations for stocks have been interpreted using a power-law probability distribution with alpha outside the Levy-stable regime suggesting that stock prices are in a different universality class than spot prices for commodities. To test this possibility we analyze daily returns of spot prices for 29 commodities and daily returns of future prices for 13 commodities over a period exceeding 10 years and find that the distributions of returns for futures decay as power laws with exponents alphaapproximate to3.2, significantly larger than alpha=2 and hence outside the Levy-stable domain, while for spot prices we find alphaapproximate to2.3 which appears to be marginally outside the Levy-stable domain.