Deterministic regression model and visual basic code for optimal forecasting of financial time series

  • Authors:
  • Alejandro Balbás;Beatriz Balbás;Inna Galperin;Efim Galperin

  • Affiliations:
  • University Carlos III of Madrid, Department of Business Economics, CL. Madrid, 126. 28903 Getafe, Madrid, Spain;University Carlos III of Madrid, Department of Business Economics, CL. Madrid, 126. 28903 Getafe, Madrid, Spain;Rotman School of Management, University of Toronto, 105 St. George Street, Toronto, ON M5S 3E6, Canada;Université du Québec í Montréal, Département des mathématiques, C.P.8888, Succ. Centre Ville, Montréal, Québec, H3C 3P8, Canada

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2008

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Abstract

A new, non-statistical method is presented for analysis of the past history and current evolution of economic and financial processes. The method is based on the sliding model approach using linear differential or difference equations applied to discrete information in the form of known chronological data (time series) about the process. An algorithm is proposed that allows one to project the current evolution of the process onto some period of its future development. Computer code in visual basic is developed that has been validated in application to American stock index S&P 500, with predicted values within 5% of real data over long periods of the recent past history. The algorithm and the code can be applied to practical problems in finance and economy in time of its normal evolution without catastrophic events.