Quant View -- Investing by the Numbers -- Archives: September '03 Work in Progress Click on Topic to Go
 


September 2003
Taming Turnover
"Furious activity is no substitute for understanding. "
-- H. H. Williams

 

ANY PROFESSIONAL MONEY MANAGERS will tell you that a buy-and-hold strategy won't work. Aside from the fact that they have a vested interest in promoting active money management, they'll tell you that in an ever changing market, you must be willing to buy and sell as conditions warrant.

We've disagreed with this before (The Premature Death of Buy and Hold), but still there's no denying that any portfolio will benefit from periodic review and fine tuning. Yet how much is enough? That's the real question.

What we're talking about here is turnover -- how often stocks are bought and sold in a portfolio. The average equity mutual fund turns its portfolio about 1.5 times a year. Archive  Index That's pretty high and gets back to the active vs. passive management issue. Most investors have lower turnover, but again, how much is enough?

In its first three years of existence, quant Portfolio 3 averaged 157% average turnover. That's greater than the average "managed" equity fund. In itself, that wouldn't be such a big deal if the same stocks didn't seem to come and go.

We documented this phenomenon in March 2002 and in July of this year made an adjustment to the portfolio's quantitative process that could potentially lower the overall turnover. So far, turnover's down, but what about performance?

Change for Less Change

Portfolios 3 is based on a regression formula utilizing ten years of data from the performance of the S&P 500. This model makes no distinction between sectors, industries, or market caps, it simply seeks those stocks that score the highest in its regression formula. Its goal is to track and hopefully, outperform the S&P 500.
Our Quant Portfolios
Portfolio 3
  • Top 30 Stocks Based on Stepwise Regression Across All Stocks of the S&P 500
  • No Attempt is Made to Sector-Weight this Portfolio
  • Rebalanced Every 60 Days
  • Stocks Remain in the Portfolio Until Falling Below the Top 100
  • The Highest Rated Stocks Not Already in the Portfolio are Added When Existing Constituents are Removed

Portfolio 4
  • Top Stocks of Each Sector Based on Stepwise Regression of Each Individual Sector of the S&P 500
  • Number of Stocks Selected in Each Sector Determined by Current Sector-Weightings of the S&P 500
  • Rebalanced Every June and December
  • Stocks Remain in the Portfolio for 6 Months Unless Deleted for Special Circumstance e.g. Acquisition
  • Stocks Removed for Mergers and Acquisitions are Replaced by the Next Highest Rated Stocks in Their Specific Sector

Portfolio 5
  • Based on 9 different Growth/Value/Blend and Large/Mid/Small Cap styles as defined by Morningstar's "Stylebox"
  • Index SPDRs and I-Shares used to represent each component of the Stylebox
  • Stylebox sectors and weightings optimized using CAPM regression
  • Reallocated mid-first month of each calendar quarter

P3's regression formula is rerun on the 15th of every even numbered month. Since it's reconstituted six times a year, there's plenty of opportunity for turnover -- and that's what we got in its first three years.

High turnover would be expected when market conditions are constantly changing, but the past three years have been one drawn out bear market. Although there were periodic rallies and selloffs, overall conditions were relatively stable -- and bad.

In hindsight, a defensively positioned portfolio would have done the best. Turnover really wasn't needed.

In fact, turnover may have actually hurt. With all the short-lived rallies and selloffs, it was quite easy to get whipsawed.

Indeed, one could argue that's exactly what happened to P3. From its inception on July 1, 2000 through June 30, 2003, P3 lost 52.36% while the S&P declined 32.01%. All that turnover certainly didn't help.

Perhaps the most concerning thing about the turnover wasn't the degree, but the fact that many of the same stocks that left one month came back the next time the portfolio was rebalanced. Often they left again on the next rebalancing. Strictly speaking, that's not really turnover, it's just churn.

When we examined what was going on, we found that many of the stocks that would come and go did so for a rather arbitrary reason, one we ourselves imposed.

Portfolio 3 is designed to hold the top 30 stocks in its regression formula. Originally, stocks remained in the portfolio as long as they rated 40 or better when the regression was rerun. If they fell below that rating they were removed and the next highest rated issues were added.

Indeed, we found that of the 6.83 stocks exiting the portfolio every two months, 4.62 were still rated below 100. In other words, 60.1% of the turnover was the result of replacing stocks that were still in the top quintile of the S&P 500.

This was an extremely tough standard and accounted for most of the churn in the portfolio. Often stocks just falling into the 40s or 50s would have to be removed, only to climb back into the top 30 in the next two months.

We didn't intend to make any changes to the quant portfolios' process until they had been in existence for three full years. When that time was up in June, this was the only aspect of P3 we changed.

Starting with the June 2003 formulation, stocks must fall below 100 to be removed from the portfolio. They still have to be in the top 30 in order to be added.

Composition and Performance

So far, turnover has quieted considerably. In June, only 3 of the 30 stocks were replaced: J. P. Morgan Chase fell to 199, Advanced Micro Devices 464, and Edison International 477. On the other hand, Andrew Corporation, that had fallen to 52, was retained.  That was roughly a 60% decrease, just as predicted. 
Before...
P3 vs. the S&P 500
July 1, 2000 - June 13, 2003

Graph--P3 and the S&P 500, July 1, 2000 - June 13, 2003
Source: A-T Financial/Quantview

In August the previously unthinkable happened: there was absolutely no turnover. Talk about lowering the average! (For the complete history of changes and current constituents of the portfolio, see Stocks of P3.)

Actually the lack of turnover makes sense. If you think about it, the S&P 500 was range bound in the June-August period. Although there were daily fluctuations, it moved in a relatively tight range between 960 and 1020. This coupled with no major changes in market sentiment would speak to few, if any, changes. That's precisely what the model did.

So if the reduction in turnover was the goal, it's certainly being achieved by this change. But turnover alone isn't the concern, performance is. The only reason we wanted to reduce turnover was to potentially improve performance.
...and After
P3 vs. the S&P 500
June 16, 2000 - August 31, 2003

Graph--P3 and the S&P 500, June 16, 2000 - August 31, 2003
Source: A-T Financial/Quantview

Here too, things may be looking up. The nearby charts compare the performance of P3 to the S&P 500. Chart 1 covers the initial three years while Chart 2 shows the past two and a half months.

Obviously you can't make too many valid conclusions in light of the time difference. There were two and a half month periods of outperformance in the first thirty-six, yet the overall period was pretty bad. In addition, Chart 1 covers the equity bear market while Chart 2 reflects a time period that was quite favorable for equities.

But while it's still too early to come to any definitive conclusions, it is encouraging to see the modified P3 getting off to such a good start against the S&P 500. It's much easier to maintain a lead than to make up ground to come from behind.


 

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