Abstract: In this paper, we discuss a Bayesian approach to
quantile autoregressive (QAR) time series model estimation and
forecasting. Together with a combining forecasts technique, we then
predict USD to GBP currency exchange rates. Combined forecasts
contain all the information captured by the fitted QAR models
at different quantile levels and are therefore better than those
obtained from individual models. Our results show that an unequally
weighted combining method performs better than other forecasting
methodology. We found that a median AR model can perform well in
point forecasting when the predictive density functions are symmetric.
However, in practice, using the median AR model alone may involve
the loss of information about the data captured by other QAR models.
We recommend that combined forecasts should be used whenever
possible.
Abstract: 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.