Abstract
When the Temporal Factor Analysis (TFA) model is used for classical Arbitrage Pricing Theory (APT) analysis in finance, it is necessary to perform white noise tests on the residual in order to validate the model adequacy. We carry out white noise tests and obtain results that provide assurance for further statistical analysis using the TFA model. We also explore empirically the relationship between macroeconomic time series and Gaussian statistically uncorrelated hidden factors recovered by TFA. Based on the statistical hypothesis test results, we conclude that each of the four economic time series is linearly related to the uncorrelated factors. Consequently, APT economic factors can be synthesized from those statistically uncorrelated factors.
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References
Berry, M., Burmeister, E., McElroy, M. (1988): Sorting out risks using known APT factors. Financial Analysts.Journal, 44, 29–42
Chen, N. F., Roll, R., Ross, S. (1986): Economic forces and the stock market. Journal of Business, 59, 383–403
Estep, T., Hansen, N., Johnson, C. (1983): Sources of vahn’ and risic in conunon stocks. Journal of Port folio Management, 9, 5–13
Farna, E. (1970): Efficient capital markets: a review of theory and empirical work. Journal of Finance, 25, 383–417
La Porta, R.., Lakonishok,.J., Shliefer, A., Vishny, R. (1997): Good news for value stocks: further evidence on mart“it efficiency. Journal of Finance, 52, 859–874
Lehmann, B. N., Modest, I. H. (1988): ‘The empirical foundations of the arbitrage pricing theory..Journal of Financial Economics, 21, 213–254
Roll, R. (1988): Journal of Finance, 13, 541–566
Roll, R., Ross, S. (1980): An empirical investigation of the arbitrage pricing theory. Journal of Finance, 15: 1073–1103
Roll, R., Ross, S. (1984): The arbitrage pricing theory approach to strategic portfolio planning. Financial Analysts Journal, 40, 14–26
Ross, S. (1976): The arbitrage theory of capital asset pricing. Journal of Economic Theory, 13, 341–360
Shanken, J. (1982): The arbitrage pricing theory: is it testable. Journal of Finance, 37, 1129–1140
Xu, L. (1998): Bayesian Ying-Yang learning theory for data dimension reduction and determination. Journal of Computational Intelligence in Finance, 6 (5), 6–18
Xu, L. (2000): Temporal BYY learning for state space approach, hidden markov model and blind source separation. IEEE Transactions on Signal Processing, 48, 2132–2144
Xu, L. (2001): BYY harmony learning, independent state space and generalized APT financial Analysis. IEEE Transactions on Neural Networks, 12 (4), 822–849
Xu, L. (2001): Best harmony, unified RPCL and automated model selection for unsupervised and supervised learning on Gaussian mixtures, three-layer nets and ME-RBF-SVM models. International Journal of Neural Systems, 11, 43–69
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© 2004 Springer-Verlag Berlin Heidelberg
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Chiu, K.C., Xu, L. (2004). White Noise Tests and Synthesis of APT Economic Factors Using TFA. In: Chen, SH., Wang, P.P. (eds) Computational Intelligence in Economics and Finance. Advanced Information Processing. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-06373-6_20
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DOI: https://doi.org/10.1007/978-3-662-06373-6_20
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07902-3
Online ISBN: 978-3-662-06373-6
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