Saturday, September 1, 2018

Successfully forecast over 1½ years of S&P 500 data

I haven't compared my S&P 500 forecast to data in a few months (last time in early June). The original forecast was made back in January 2017, and the two years will be complete come January 2019. The post-forecast data is shown in black:


The pink band represents the model error, while the blue band (overlaid with pink making it purple) represents an AR process — specifically an ARMA(2,1) process — forecast from the last data point (i.e. taking into account the random component, as discussed in a footnote here). The increase in volatility since the corporate tax cut is definitely visible in the data. There was a poster about volatility regimes presented by Tobias Sichert at ASSA 2018 which is relevant (discussed here), and possibly foreshadowing a future recession ...

Here's the data over the longer term, putting the forecast in context:

5 comments:

  1. My impression is that the opening salvos of the trade wars led to the increased volatility. I publicly suggested putting a straddle on S&P 500 ETFs back in February which has ptovep very profitable.

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    1. It's possible, but it seems to come right when the stock market dropped which I thought was profit-taking from the run-up to the corporate tax cut. But then, I've never been very good at these things :)

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  2. If you look at stock market data in Canada, China, and Mexico, for example, you'll see similar patterns, all beginning in the same date in late January.

    The EU is a bit less clear perhaps, due to problems in Italy, for example, but you can see the pattern there too.

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  3. It would be interesting to see the IE model for the Nikkei 225 index around 1985-1991, the period of the Japanese asset price boom and bust. The performance of the index in those years, and since then, has been very different from other stock indices - the curve isn't exponential as it is with the S&P 500.

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    Replies
    1. Sorry I missed this comment — blogger is not notifying me of comments anymore for some reason.

      I did look at the Nikkei back in February 2017 ...

      https://informationtransfereconomics.blogspot.com/2017/02/nikkei-225.html

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