Apr 06 2008

Classical Music: Beethoven’s Piano Concerto No. 5 “Emperor”

Tag: MusicPhyslab @ 4:30 pm

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Photograph: “Mykonos”

One of my first CD’s and still one of my favorites is Beethoven’s Piano Concerto No. 5. The recording I have is the RCA Victor Silver Seal - 09026-61213. It features the Royal Philharmonic with Andre Previn. Also included on the CD is the Choral Fantasia played by the New York Philharmonic and directed by Zubin Mehta.

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Apr 06 2008

Revisiting The Loser’s Game

Tag: Miscellaneous, ResearchPhyslab @ 2:30 pm

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Let’s revisit Charles D. Ellis’ 1995 paper, “The Loser’s Game,” where he describes his Break-Even Return (BER) equation. Here is a review of this equation.

BER = [(Turnover percentage x Transaction Cost) + Management Fee + Target Return]/Market Return

It is quite easy to set up this equation in an Excel spreadsheet and play around with different variables. I discussed these variables with an Internet friend and using what we think are reasonable “modern-day” assumptions we came up with this BER value.

It is not unusual for actively managed mutual funds to have a 100% turnover and management fees to run 75 basis points. If we assume Target Return equals Market Return at 9% and the transaction costs are 1.5% going in and coming out of the market, the equation will look like this.

BER = [(1.0 x (1.5 + 1.5) + 0.75 + 9)]/9 = 1.4166 or 1.42. This money manager must then turn in a return 1.42 x 9% or 12.7% to equal the market. Costs do matter.

Assume you are managing an ETF portfolio and you are able to reduce the portfolio turnover down to 10% per year or a reduction of 1/10 the active money manager. This is not unusual based on my experience working with passive portfolios. Further, assume we can reduce commissions and bid/ask slippage to 1% in and 1% out. If we find liquid ETFs that are not actively managed, we should be able to reduce the management fee to 30 to 40 bases points. Since we are likely to have some emerging markets, let us raise this to 50 basis points. Now the BER equation will look like this.

BER = [(0.1 x (1 + 1) + 0.50 + 9)]/9 = 1.08. This ETF manager must generate a return of 9.7% or only 0.7% to match the market. Quite a change.

Here are the important points to remember.

  • Reduce trades in order to bring down the turnover percentage.
  • Purchase in large enough quantities to lower commissions. Use a deep discount broker. Use limit orders to reduce bid/ask slippage.
  • Find liquid ETFs with low expense ratios so as to minimize management fees.

Photograph: Street vendor and friend in Corfu, Greece

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Apr 06 2008

The Loser’s Game

Tag: Portfolio ManagementPhyslab @ 1:30 pm

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“The Loser’s Game” is the title of a paper written by Charles D. Ellis and published in the January-February 1995 issue of Financial Analysts Journal. On the fifth page of this article, Ellis provides one of the most devastating equations for active investors. The following is a long quote from this article as he talks about investing moving from a Winner’s Game to a Loser’s Game.

“The new ‘rules of the game’ can be set out in a simple but distressing equation. The elements are these:

  • Assume equities will return an average nine percent rate of return. [9% was about right at the time.]
  • Assume average turnover of 30 percent per annum.
  • Assume average costs–dealer spreads plus commissions–on institutional transactions are three percent of the principal value involved. [This is likely high in today's market.]
  • Assume management and custody fees total 0.20 percent.
  • Assume the goal of the manager is to outperform the averages by 20 percent.

[ It was necessary to clean up some of the decimal errors in Ellis' equation. ]
Solve for “X”: (X x .09) - [30 x (.03 + .03)] - (0.20) = (120 x .09)

X = {[30 x (.06)] + (0.20) + (120 x .09)}/.09

X = (1.8 + 0.20 + 10.8)/.09

X = 12.8/9 = 142%

“In plain language, the manager who intends to deliver net returns 20 percent better than the market must earn a gross return before fees and transactions costs (liquidity tolls) that is more than 40 percent better than the market. If this sounds absurd, the same equation can be solved to show that the active manager must beat the market gross by 22 percent just to come out even with the market net.”

“In other words, for the institutional investor to perform as well as, but no better than, the S&P 500, he must be sufficiently astute and skillful to ‘outdo’ the market by 22 percent. But how can institutional investors hope to outperform the market by such a magnitude when, in effect, they are the market today? Which managers are so well staffed and organized in their operations, or so prescient in their investment policies that they can honestly expect to beat the other professionals by so much on a sustained basis?”

Here is the equation, with data, if the investor only wants to match the market.

X = [ 30 x .06 + .2 + 9 ]/.09 = 122% or the 22% Ellis takes about in the above paragraph.

Now let’s enter the numbers that are closer to the Passive Portfolio I’ve worked with for over seven years.

X = [ 10 x .02 + .2 + 9 ]/.09 = 104.4% or 4.4% is needed to perform better than the market. This is still a difficult hurdle, but manageable if one skews a portfolio toward small-cap and value oriented investments.

Photograph: Corfu street restaurant - Greece

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