Category Archives: ARMA/GARCH

Automatic ARMA/GARCH selection in parallel

In the original ARMA/GARCH post I outlined the implementation of the garchSearch function. There have been a few requests for the code so … here it is. Quite easy to use too:

library(quantmod)
source("garchAuto.R")

spy = getSymbols("SPY", auto.assign=FALSE)
rets = ROC(Cl(spy), na.pad=FALSE)
fit = garchAuto(rets, cores=8, trace=TRUE)

After the last code line above, fit contains the best (according to the AIC statistic) model, which is the return value of garchFit. The function has reasonable defaults, but also provides controls over various aspects of the model selection – check the code.

The function is called garchAuto, following the naming convention of the fGarch package. In fact, I am trying to get it into the fGarch package, but haven’t heard back yet. There are reasons why I don’t feel too optimistic about this happening, hence, my decision to publish it here.

Last, if you wonder why I abandoned the original garchSearch name, the reason is that a similar function from the forecast package is called auto.arima (“auto”, not “search”).

A Greedy ARMA/GARCH Model Selection

An idea that I have been toying for a while, has been to study the effect of a domain-specific optimization strategy in the ARMA+GARCH models. If you recall from this long tutorial, the implemented approach cycles through all models within a the specified ranges for the parameters and chooses the best model based on the AIC statistic. One idea which I have studied recently is to try to improve the model selection by using a different criteria to determine the “best” model, namely to use a domain-specific strategy.

Here is where greed enters the picture: Since our domain is finance, and they claim greed is good. What if we choose the model which has best performance in-sample?

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ARMA Models for Trading

In this tutorial I am going to share my R&D and trading experience using the well-known from statistics Autoregressive Moving Average Model (ARMA). There is a lot written about these models, however, I strongly recommend Introductory Time Series with R, which I find is a perfect combination between light theoretical background and practical implementations in R. Another good reading is the online e-book Forecasting: principles and practice written by Rob Hyndman, an expert in statistical forecasting and the author of the excellent forecast R package.

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