Introduction to financial forecasting

This paper provides a brief introduction to forecasting in financial markets with emphasis on commodity futures and foreign exchange. We describe the basic approaches to forecasting, and discuss the noisy nature of financial data. Using neural networks as a learning paradigm, we describe different techniques for choosing the inputs, outputs, and error function. We also describe the learning from hints technique that augments the standard learning from examples method. We demonstrate the use of hints in foreign-exchange trading of the U.S. Dollar versus the British Pound, the German Mark, the Japanese Yen, and the Swiss Franc, over a period of 32 months. The paper does not assume a background in financial markets.

[1]  Phoebus J. Dhrymes,et al.  An empirical examination of the implications of arbitrage pricing theory , 1985 .

[2]  A. I. McLeod,et al.  DIAGNOSTIC CHECKING ARMA TIME SERIES MODELS USING SQUARED‐RESIDUAL AUTOCORRELATIONS , 1983 .

[3]  G. William Schwert,et al.  Tests for Predictive Relationships between Time Series Variables: A Monte Carlo Investigation , 1982 .

[4]  F. Black,et al.  The Capital Asset Pricing Model: Some Empirical Tests , 2006 .

[5]  R. S. BRAY,et al.  Box and Cox , 1975, Nature.

[6]  Haim Levy Introduction to investments , 1998 .

[7]  G. C. Tiao,et al.  Multiple Time Series Modeling and Extended Sample Cross-Correlations , 1983 .

[8]  Josef Lakonishok,et al.  Fundamentals and Stock Returns in Japan , 1991 .

[9]  Apostolos Nikolaos Refenes,et al.  Neural network applications in financial asset management , 1994, Neural Computing & Applications.

[10]  Richard Schmalensee,et al.  Advertising and aggregate consumption: an analysis of causality , 1980 .

[11]  Barr Rosenberg and Vinay Marathe. Common Factors in Security Returns: Microeconomic Determinants and Macroeconomic Correlates , 1976 .

[12]  H. Markowitz,et al.  Data Mining Corrections , 1994 .

[13]  Makoto Takano,et al.  The development of efficient portfolios in Japan with particular emphasis on sales and earnings forecasting , 1993, Ann. Oper. Res..

[14]  B. Stone A Linear Programming Formulation of the General Portfolio Selection Problem , 1973, Journal of Financial and Quantitative Analysis.

[15]  H. Akaike Fitting autoregressive models for prediction , 1969 .

[16]  Josef Lakonishok,et al.  Can Fundamentals Predict Japanese Stock Returns , 1993 .

[17]  Richard Ashley A new technique for postsample model selection and validation , 1998 .

[18]  Perry J. Kaufman,et al.  The new commodity trading systems and methods , 1987 .

[19]  Lawrence Fisher,et al.  Some Studies of Variability of Returns on Investments in Common Stocks , 1970 .

[20]  Dennis E. Logue,et al.  Foundations of Finance. , 1977 .

[21]  W. W. Muir,et al.  Regression Diagnostics: Identifying Influential Data and Sources of Collinearity , 1980 .

[22]  B. King Market and Industry Factors in Stock Price Behavior , 1966 .

[23]  Harold T. Davis,et al.  Elements of Statistics with Application to Economic Data. , 1936 .

[24]  C. Granger Invited review combining forecasts—twenty years later , 1989 .

[25]  C. Granger Investigating Causal Relations by Econometric Models and Cross-Spectral Methods , 1969 .

[26]  Spyros Makridakis,et al.  The Handbook of forecasting: A manager's guide , 1983 .

[27]  Andrew Rudd,et al.  Modern Portfolio Theory: The Principles of Investment Management , 1982 .

[28]  Douglas C. Montgomery,et al.  Forecasting and time series analysis , 1976 .

[29]  Bruno Solnik Why Not Diversify Internationally Rather Than Domestically , 1974 .

[30]  W. Sharpe,et al.  Mean-Variance Analysis in Portfolio Choice and Capital Markets , 1987 .

[31]  Phoebus J. Dhrymes,et al.  New Tests of the APT and Their Implications , 1985 .

[32]  David A. Belsley Assessing the presence of harmful collinearity and other forms of weak data through a test for signal-to-noise , 1982 .

[33]  D. P. Gregg,et al.  Forecasting.@@@Practical Experiences with Modelling and Forecasting Time Series. , 1981 .

[34]  C. Granger,et al.  Improved methods of combining forecasts , 1984 .

[35]  Gregory Connor,et al.  A Test for the Number of Factors in an Approximate Factor Model , 1993 .

[36]  D. W. Bunn,et al.  A Bayesian Approach to the Linear Combination of Forecasts , 1975 .

[37]  C. C. Bissell Modelling Dynamic Systems , 1988 .

[38]  E. Fama,et al.  Multifactor Explanations of Asset Pricing Anomalies , 1996 .

[39]  Robert A. Korajczyk,et al.  The Arbitrage Pricing Theory and Multifactor Models of Asset Returns , 1993, Finance.

[40]  Campbell R. Harvey,et al.  Fundamental Determinants of National Equity Market Returns: A Perspective on Conditional Asset Pricing , 1996 .

[41]  Robert L. Mason,et al.  A Comparison of Least Squares and Latent Root Regression Estimators , 1976 .

[42]  S. Ross,et al.  An Empirical Investigation of the Arbitrage Pricing Theory , 1980 .

[43]  Edwin J. Elton,et al.  Expectations and Share Prices , 1981 .

[44]  E. Elton Modern portfolio theory and investment analysis , 1981 .

[45]  G. C. Tiao,et al.  Modeling Multiple Time Series with Applications , 1981 .

[46]  Chi-Wen Jevons Lee,et al.  A VARMA Test on the Gibson Paradox , 1990 .

[47]  Robert H. Ashton,et al.  Aggregating Subjective Forecasts: Some Empirical Results , 1985 .

[48]  C. Sims Money, Income, and Causality , 1972 .

[49]  Lawrence R. Klein,et al.  Economic Theory and Econometrics , 1984 .

[50]  P. J. Huber Robust Regression: Asymptotics, Conjectures and Monte Carlo , 1973 .

[51]  Steven Bender,et al.  Why Your Next Japanese Portfolio Should be Market-Neutral — and How , 1995 .

[52]  H. Akaike Fitting autoregressive models for prediction , 1969 .

[53]  Henry A. Burd The Diamond Match Company , 1939 .

[54]  Bernell K. Stone,et al.  Risk, return, and equilibrium : a general single-period theory of asset selection and capital-market equilibrium , 1972 .

[55]  Yaser S. Abu-Mostafa,et al.  Learning from Hints , 1994, J. Complex..

[56]  S. Ross,et al.  Economic Forces and the Stock Market , 1986 .

[57]  D. Cochrane,et al.  Application of Least Squares Regression to Relationships Containing Auto-Correlated Error Terms , 1949 .

[58]  Arthur F. Burns,et al.  Measuring Business Cycles. , 1946 .

[59]  Kajal Lahiri Leading economic indicators: “A leading indicator of inflation based on interest rates” , 1992 .

[60]  A. Harvey Time series models , 1983 .

[61]  Bernell K. Stone,et al.  Systematic Interest-Rate Risk in a Two-Index Model of Returns , 1974, Journal of Financial and Quantitative Analysis.

[62]  H. Markowitz The optimization of a quadratic function subject to linear constraints , 1956 .

[63]  Robert D. Arnott Relative Strength Revisited* , 1979 .

[64]  Gregory Connor,et al.  Risk and Return in an Equilibrium Apt: Application of a New Test Methodology , 1988 .

[65]  Eberhard Schöneburg,et al.  Stock price prediction using neural networks : A project report , 2003 .

[66]  Jay Shanken,et al.  The Current State of the Arbitrage Pricing Theory , 1992 .

[67]  R. L. Winkler Combining Probability Distributions from Dependent Information Sources , 1981 .

[68]  Richard G. Hoptroff The principles and practice of time series forecasting and business modelling using neural nets , 2005, Neural Computing & Applications.

[69]  Richard Roll,et al.  Bias in Fitting the Sharpe Model to Time Series Data , 1969, Journal of Financial and Quantitative Analysis.

[70]  Geoffrey E. Hinton,et al.  Learning internal representations by error propagation , 1986 .

[71]  D. E. Fischer,et al.  Security Analysis and Portfolio Management , 1975 .

[72]  C. Granger,et al.  Forecasting Economic Time Series. , 1988 .

[73]  Steven C. Wheelwright,et al.  Forecasting methods and applications. , 1979 .

[74]  Elroy Dimson,et al.  Stock market anomalies , 1989 .

[75]  Geoffrey H. Moore,et al.  Business Cycle Indicators. , 1961 .

[76]  David A. Belsley Collinearity and forecasting , 1984 .

[77]  Robert L. Winkler,et al.  The Forecasting accuracy of major time series methods , 1986 .

[78]  Lon-Mu Liu,et al.  FORECASTING AND TIME SERIES ANALYSIS USING THE SCA STATISTICAL SYSTEM , 1994 .

[79]  Michael W. McCracken Robust out-of-sample inference , 2000 .

[80]  C. Granger,et al.  Spurious regressions in econometrics , 1974 .

[81]  Barr Rosenberg and Vinay Marathe.,et al.  Tests of Capital Asset Pricing Hypotheses , 1975 .

[82]  C. Granger Testing for causality: a personal viewpoint , 1980 .

[83]  Kazuo Asakawa,et al.  Stock market prediction system with modular neural networks , 1990, 1990 IJCNN International Joint Conference on Neural Networks.

[84]  A. Zellner,et al.  Time series analysis and simultaneous equation econometric models , 1974 .

[85]  W. Sharpe CAPITAL ASSET PRICES: A THEORY OF MARKET EQUILIBRIUM UNDER CONDITIONS OF RISK* , 1964 .

[86]  S. Ross The arbitrage theory of capital asset pricing , 1976 .

[87]  Lawrence J. White,et al.  Catch a Wave: The Time Series Behavior of Mergers , 1993 .

[88]  John E. Freund,et al.  Probability and statistics for engineers , 1965 .

[89]  D. Lindley,et al.  Bayes Estimates for the Linear Model , 1972 .

[90]  Gregory Connor,et al.  The Three Types of Factor Models: A Comparison of Their Explanatory Power , 1995 .

[91]  James L. Farrell,et al.  Portfolio management : theory and application , 1996 .

[92]  Burton G. Malkiel,et al.  THE CONSENSUS AND ACCURACY OF SOME PREDICTIONS OF THE GROWTH OF CORPORATE EARNINGS , 1968 .

[93]  Marc Nerlove,et al.  Factors affecting differences among rates of return on investments in individual common stocks , 1968 .

[94]  E. Elton,et al.  Earnings Estimates and the Accuracy of Expectational Data , 1972 .

[95]  C. R. Rao,et al.  Linear Statistical Inference and its Applications , 1968 .

[96]  Robert Goodell Brown,et al.  Smoothing, forecasting and prediction of discrete time series , 1964 .

[97]  J. Mossin EQUILIBRIUM IN A CAPITAL ASSET MARKET , 1966 .

[98]  Lawrence Fisher,et al.  Some New Stock-Market Indexes , 1966 .

[99]  Barr Rosenberg,et al.  Extra-Market Components of Covariance in Security Returns , 1974, Journal of Financial and Quantitative Analysis.

[100]  Anna J. Schwartz,et al.  Money and Business Cycles , 1963 .

[101]  Benjamin Graham,et al.  Security Analysis: Principles and Technique , 1934 .

[102]  Andrew Rudd,et al.  The “Market Model” In Investment Management , 1980 .

[103]  Victor Zarnowitz Business Cycles: Theory, History, Indicators, and Forecasting , 1992 .

[104]  Helmut Lütkepohl,et al.  Introduction to multiple time series analysis , 1991 .

[105]  Gwilym M. Jenkins,et al.  Time series analysis, forecasting and control , 1972 .

[106]  B. Malkiel A Random Walk Down Wall Street , 1973 .

[107]  E. Fama,et al.  Risk, Return, and Equilibrium: Empirical Tests , 1973, Journal of Political Economy.

[108]  J. T. Webster,et al.  Latent Root Regression Analysis , 1974 .

[109]  Johannes Ledolter,et al.  A Time Series Analysis of Aggregate Merger Activity , 1983 .

[110]  Jay Shanken,et al.  Multi‐Beta CAPM or Equilibrium‐APT?: A Reply , 1985 .

[111]  J. Tukey,et al.  The Fitting of Power Series, Meaning Polynomials, Illustrated on Band-Spectroscopic Data , 1974 .

[112]  E. Fama,et al.  Efficient Capital Markets : II , 2007 .

[113]  Jesse W. Markham,et al.  Merger Movements in American Industry, 1895-1956. , 1959 .

[114]  Sunil Gupta,et al.  Combination of Forecasts: An Extension , 1987 .

[115]  Lawrence Fisher,et al.  Rates of Return on Investments in Common Stocks , 1964 .

[116]  R. Clemen,et al.  Collinearity and the use of latent root regression for combining GNP forecasts , 1989 .

[117]  H. White,et al.  Economic prediction using neural networks: the case of IBM daily stock returns , 1988, IEEE 1988 International Conference on Neural Networks.

[118]  Lawrence Fisher,et al.  An Algorithm for Finding Exact Rates of Return , 1966 .

[119]  Clausin D. Hadley,et al.  What Happens During Business Cycles: A Progress Report , 1951 .

[120]  J. M. Bates,et al.  The Combination of Forecasts , 1969 .

[121]  D. Cox,et al.  An Analysis of Transformations , 1964 .

[122]  Josef Lakonishok,et al.  Contrarian Investment, Extrapolation, and Risk , 1993 .

[123]  C. B. Tilanus,et al.  Applied Economic Forecasting , 1966 .

[124]  Derek W. Bunn,et al.  Forecasting with more than one model , 1989 .

[125]  Christopher A. Sims,et al.  MACRO-ECONOMICS AND REALITY , 1977 .

[126]  R. L. Winkler,et al.  Averages of Forecasts: Some Empirical Results , 1983 .

[127]  Heejoon Kang Unstable Weights in the Combination of Forecasts , 1986 .

[128]  Robert D. Arnott,et al.  The use and misuse of consensus earnings* , 1985 .