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Forecasting For Financial Stock Returns Using A Quantile Function Model

Authors: Yuzhi Cai;

Forecasting For Financial Stock Returns Using A Quantile Function Model

Abstract

{"references": ["Koenker, R. (2005). Quantiles Regression. Cambridge University Press.", "Gilchrist, W.G. (2000). Statistical Modelling with Quantile Functions.\nChapman & Hall/CRC.", "Cai, Y. (2015). A general quantile function model for economic and\nfinancial time series. Econometric Reviews. Accepted.", "Cai, Y. (2013). Quantile function models for survival data analysis.\nAustralian and New Zealand Journal of Statistics 55, 155-172.", "Cai, Y. (2010a). Multivariate quantile function models. Statistica Sinica\n20, 481-496.", "Cai, Y. (2010b). Polynomial power-Pareto quantile function models.\nExtremes 13, 291-314.", "Cai, Y. (2009). Autoregression with non-Gaussian Innovations.\nJournal of Time Series Econometrics, Vol.1, Iss.2, Article 2. DOI:\n10.2202/1941-1928.1016.", "Cai, Y, Montes-Rojas, G. and Olmo, J. (2013). Quantile double AR time\nseries models for financial returns. Journal of Forecasting 32, 551-560.", "Engle, R.F. and Manganelli, S. (2004). CAViaR: Conditional\nautoregressive value at risk by regression quantiles. Journal of\nBusiness and Economic Statistics 22, 367-381."]}

In this talk, we introduce a newly developed quantile function model that can be used for estimating conditional distributions of financial returns and for obtaining multi-step ahead out-of-sample predictive distributions of financial returns. Since we forecast the whole conditional distributions, any predictive quantity of interest about the future financial returns can be obtained simply as a by-product of the method. We also show an application of the model to the daily closing prices of Dow Jones Industrial Average (DJIA) series over the period from 2 January 2004 - 8 October 2010. We obtained the predictive distributions up to 15 days ahead for the DJIA returns, which were further compared with the actually observed returns and those predicted from an AR-GARCH model. The results show that the new model can capture the main features of financial returns and provide a better fitted model together with improved mean forecasts compared with conventional methods. We hope this talk will help audience to see that this new model has the potential to be very useful in practice.

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United Kingdom
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Keywords

quantile function model., DJIA, Financial returns, predictive distribution

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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