Thursday, May 7, 2009

Case-Shiller Housing Index: 18 Month Forecast

This is the 4th in my Case-Shiller Housing Index series. If you want to start at the beginning here is the 1st, 2nd, and 3rd in the series.

In the previous post on this series, I developed and demonstrated the seasonal ARIMA model I developed to fit the Case-Shiller 10-city housing index. One important concept in doing statistics and developing statistical models is that the model you end up gives you insights into the process that produced that data. The statistical forecasting model for the Case-Shiller I think fits very well and the fact that it does fit so well suggests some specific conclusions:
  1. When this type of ARIMA model fits, it suggests that housing prices as measured by the Case-Shiller index have what can be thought of as inertia or momentum.
  2. This means that once housing prices are moving in one direction, they tend to stay moving in that direction.
  3. If a change in direction occurs, it occurs over many months or even years. Housing prices (Case-Shiller index) can't just abruptly move reverse course 15% in a month. If they are to change direction, it will take a while to occur.

So Where are Housing Prices Going?

So this graph shows what the ARIMA forecasting model forecasts for the next 18 months. The red series is the forecast and the blue lines are the 95% confidence intervals. Bottom line: the forecasting model sees further declines in the housing market. Specifically:
  1. 1.8% drop to 151.82 in the next index release (coming out in the next few weeks).
  2. Due to the seasonal effect, the rate of drop of the index will slow down to near 0.5% or even 0% in May, June, July, and August.
  3. In April 2010, the index is forecasted to drop 16.4% down (compared to the Feb '09 index) to 129.23. This looks like April 2010 could be the bottom in the housing market but really too early to tell.

So of course this forecast is not exact. There is certainly uncertainty. This model works very well when the trend is consistent and as the trend shifts, the forecast will evolve over the course of a few months, in fact this forecast has shifted up some over the past few months which is why I am thinking the bottom could be coming next year. But the confidence intervals give you an understanding of how much this forecast could shift.


What is the Best Case Scenario for Housing Prices?

The upper 95% confidence interval gives a good estimate of the best case scenario for the Case Shiller. If home prices put it in reverse now, that gives you an understanding of how quickly they could really turn up.

This best case scenario has the Case-Shiller 10 city index trying to bottom soon and moving mostly sideways between now and April of 2010 and then making progress upward.

Remember, this should be viewed as a best case scenario. According to the forecasting model, the most likely scenario is still down for the next year. Like everyone I would like to believe that housing prices have bottomed but the reason I like statistical methods for forecasting is that they are as objective as it gets and they are one of the best tools to cut through the caveman bias.

Next I will examine how my forecast compares to some other forecasts and then after that, I will examine the new Case-Shiller ETF's coming out next week from MacroMarkets UMM and DMM.

...






7 comments:

  1. Does it matter beyond the results that there are few inflection points in the past data and here we're trying to predict another inflection point?
    ReplyDelete
  2. Caveman Forecaster,

    I enjoy reading your forecasts very much. You have done a great job making statistics easier to understand. I am considering to buy REIT funds like ICF or IYR. When will be the best entry point? Is Case-Shiller a leading or lagging indicator to ICF?
    ReplyDelete
  3. Anon 1: Good question, yes it matters but I think there were enough inflections in the data set. The model was developed on more data than is shown in this post, look at the previous post to see the data the model was fit to. In that data there were 3 main inflection points and 2 other smaller ones. But a 2nd difference ARIMA model is good at forecasting inflections if the underlying data structure supports it which I think this does. Obviously we will see and I would always look at the uncertainty, and here there is a lower conf interval which essentially continues the downtrend in prices.
    ReplyDelete
  4. Anon 2: Thanks for the compliments! Good questions. I think that REIT's are related but not exactly the same as the case-shiller which is only tied to the price of homes, where REITS are tied to real estate investment including income. REITs also are quite correlated to the general stock market which is not great in my opinion. That is why I am really excited about UMM and DMM etfs coming out next week which will be directly tied to the case shiller and 2x leverage. Although they won't be just that simple either. I will elaborate more on posts coming in the next few days. But your initial question is a good one still, I may do a post comparing the correlation and lag relationship between the different different housing indexes and different market REIT's, etc.
    ReplyDelete
  5. Note new post up discussing the correlation of the case shiller to various real estate ETF's including ICF and IYR.
    ReplyDelete
  6. Case Shiller is a lagging indicator in general to REIT's.

    http://www.sleycapitaladvisors.com
    ReplyDelete
  7. In general it is lagging by 3-6 months.
    ReplyDelete