Applications of physics to economics and finance: Money, income, wealth, and the stock market
AbstractSeveral problems arising in Economics and Finance are analyzed using concepts and quantitative methods from Physics. Here is the abridged abstact: Chapter 1: By analogy with energy, the equilibrium probability distribution of money must follow the exponential Boltzmann-Gibbs law characterized by an effective temperature equal to the average amount of money per economic agent. A thermal machine which extracts a monetary profit can be constructed between two economic systems with different temperatures. Chapter 2: Using data from several sources, it is found that the distribution of income is described for the great majority of population by an exponential distribution, whereas the high-end tail follows a power law. The Lorenz curve and Gini coefficient were calculated and are shown to be in good agreement with both income and wealth data sets. Chapter 3: The Heston model where stock-price dynamics is governed by a geometrical (multiplicative) Brownian motion with stochastic variance is studied. The corresponding Fokker-Planck equation is solved exactly. Integrating out the variance, an analytic formula for the time-dependent probability distribution of stock price changes (returns) is found. The formula is in excellent agreement with the Dow-Jones index for the time lags from 1 to 250 trading days.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by arXiv.org in its series Papers with number cond-mat/0307341.
Date of creation: Jul 2003
Date of revision: Jul 2003
Contact details of provider:
Web page: http://arxiv.org/
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Wright, Ian, 2008.
"Implicit Microfoundations for Macroeconomics,"
Economics Discussion Papers
2008-41, Kiel Institute for the World Economy.
- Wright, Ian, 2009. "Implicit Microfoundations for Macroeconomics," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy, vol. 3(19), pages 1-27.
- F. Clementi & M. Gallegati, 2005.
"Pareto's Law of Income Distribution: Evidence for Germany, the United Kingdom, and the United States,"
physics/0504217, arXiv.org, revised Mar 2006.
- Fabio Clementi & Mauro Gallegati, 2005. "Pareto's Law of Income Distribution: Evidence for Grermany, the United Kingdom, and the United States," Microeconomics 0505006, EconWPA.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (arXiv administrators).
If references are entirely missing, you can add them using this form.