Iteración fractal de computo IFS en los mercados financieros

  1. MARÍA- RAMOS ESCAMILLA
  2. MARIA JESUS- SEGOVIA VARGAS
  3. MARTA- MIRANDA GARCÍA
Revista:
Rect@: Revista Electrónica de Comunicaciones y Trabajos de ASEPUMA

ISSN: 1575-605X

Ano de publicación: 2013

Título do exemplar: Serie Monografías. Métodos cuantitativos e informática

Volume: 4

Número: 1

Páxinas: 223-244

Tipo: Artigo

Outras publicacións en: Rect@: Revista Electrónica de Comunicaciones y Trabajos de ASEPUMA

Resumo

In this paper we present a fractal analysis of prices of shares listed stations in the capital market, we take mathematical modeling tool iterated function systems, our goal is the determination of the Mandelbrot cardioid for setting support and resistance trends in the price range and support the central hypothesis that margin maximization is stochastic stock prices of the stock market in Mexico with international related self Frankfurt, London, Paris, Tokyo and New York and represent them with technical chartists and fractal mapping in their purchasing and selling.

Referencias bibliográficas

  • Alligood, Kathleen T.,Sauer, Tom., Yorke, James. Chaos, An Introduction to Dynamical Systems. Springer, (1996).
  • Barnsley, Michael..Fractals Everywhere. San Diego: Academic Press. (1993)
  • Battena,Jonathan., Ellis ,Craig.Fractal structures and naive trading systems: Evidence from the spot US dollar/Japanese yen, Japan and the World Economy,8 (4), (1996). 411–421.
  • Braun , E. Caos, fractales y cosas raras. México. Colección la Ciencia en México. Nº 150: Fondo de Cultura Económica. (1996).
  • Calvet, Laurent., Fisher, Adlai., Mandelbrot, Benoit. Large deviations and the distribution of price changes. Cowles Foundation Discussion. 1165.1(1), (1997).237-253.
  • Courtault, Jean Michel., Kabanov, Yuri., Bru, Bernard., Crépel,Pierre., Lebon and Arnaud Le Marchand, Isabelle . Louis Bachelier on the centenary of théorie de la speculation. Mathematical Finance, 10(3), (2000).341–353.
  • Cowart, J. Method and motif: Ellsworth Kelly’s Chance grids and his development of color panel painting by period: 1948-1951, New York: Museum of Modern Art. (1992).
  • Dacorogna, Michel M., Ramazan, Gencay., Müller,Ulrich., B.Olsen,Richard ., Pictet, Olivier V. An Introduction to High-Frequency Finance. San Diego, California : Academic Press. (2001)
  • Douketis,Constantine.,Wang,Zhouhang., Haslett,Tom L., Moskovits,Martin. Fractal character of cold-deposited silver films determined by low-temperature scanning tunneling microscopy, Physical Review, 51 (16), (1995).2-3.
  • Embrechts, Paul., Klüppelberg,Claudia., Mikosch,Thomas. Modelling external events for insurance and finance, New York: Springer-Verlag. (1997).
  • Falconer,Kenneth.Fractal Geometry.Mathematical Foundations and Applications. England: John Wiley & Sons Ltd. (1990).
  • Madan, Dilip B, Haluk Unal. Pricing the Risks of Default", Review of Derivatives Research. (2), (1998).121-160.
  • Mandelbrot, Benoit. La geometría fractal de la naturaleza. San Francisco: WH Freeman. (1982)
  • Mantegna, R. N., Stanley,H. E.. Scaling Behaviour in the Dynamics of an Economic Index. Nature , 376, (1995). 46-49.
  • Ramos, María. Dinámica Económica Actual. México: ECORFAN. (2010).
  • Ramos, María. DEFA (Dinámica Económica Financiera Actual), México: ECORFAN. (2010)
  • Ramos, María. Invención-Versión: 1.n -RNPC:03-2010-051112281100-01 ,México: ECORFAN. (2010)
  • Rolf ,W., Banz, William., J. Breen.Sample dependent results using accounting and market data some evidence. Journal of Finance. 41 (4), (1986).779-793.
  • Sidney, Alexander. Price movements in speculative markets: trends or random walks, Industrial Management Review, 2 (2), (1961). 7-26.
  • Stewart, Ian. From here to infinity: A guide to today´s mathematics. New York: Oxford University Press. (2003).
  • Weick K.E. The social psychology of organization. United States of America: Mc Graw-Hill, Inc. (1979).
  • Wyart , Matthieu .,Bouchaud ,Jean , Philippe.Statistical Models for Company Growth, Service de Physique del Etat Condens . [en línea] Recuperado el 16 de abril de 2012, de: http://ssrn.com/abstract=391860 (2), (2002). 1-4.