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The Zero-Sum Game: Why Most Investors Can't Beat the Markets

Your bank advisor sits across from you and says: “I have a fund that beats the index by 3% p.a.” You are impressed. The catch: This 3% outperformance was achieved last decade. The academic research is clear:85% of active fund managers do not beat their index over 15 years(after fees). This is not a coincidence - this is mathematics. This article explains why the zero-sum game forces most investors to buy the index.

Why markets are a zero-sum game

A zero-sum game is simple: for every winner, there is a loser. If one manager makes 15% and the index makes 10%, then another manager must make 5% (everything else constant).

In the markets this means:The average of all managers is equal to the index (before fees). After fees, average managers don't beat the index.

The mathematics:

The SPIVA study: 85% underperformance over 15 years

The Standard & Poor's Index Versus Active Funds (SPIVA) study is the definitive answer. It compares how many active fund managers beat their benchmarks over 20 years.

The results are brutal:
- 1 year period: ~50% beat the index (random)
- 5 year period: ~35% beat the index
- 10 year period: ~25% beat the index
- 15 year period: ~15% beats the index(85% underperformance)

This shows something important:Over short periods, a manager can get lucky. Over long periods of time, luck becomes chance.

Why even good managers don't consistently outperform

Even if you find a manager who made 13% p.a. for the last 5 years, that doesn't mean he will make 13% for the next 5 years.

The reasons:

1. Mean Reversion
The manager making 13% probably has a strategy that is working very well right now. But when the market changes, the strategy works worse. They revert to average.

2. AUM scaling problem
The successful manager accumulates capital. A manager who earns €300m at 13% p.a. cannot do that on €3bn. Size destroys alpha.

3. Skill vs. Luck
Statistically, it is extremely unlikely that 5-10 years of outperformance is just a coincidence. But it's also hard to prove that it's "skill." Therefore, consistency over >15 years is necessary.

The implications for your investment strategy

The academic implication is clear:Buy the index.

That doesn't mean you shouldn't buy managed funds. It just means:

85% Underperformance over 15 years
50% 1-year outperformer (random)
15% Consistent 15-year outperformer
1-2% Manager fees average
SPIVA study: Manager outperformance over time
% of managers who beat their index
0% 25% 50% 75% 50% 1 year 35% 5 years 25% 10 years 15% 15 years
Zero-sum game: return distribution of managers
If the index makes 10%, the average must make <10%
0% 25% Manager return distribution

Quellen & Studien

  • Swensen, David: “Pioneering Portfolio Management” (2000)
  • Ellis, Charles: “Winning the Loser’s Game” (2017)
  • Academic Studies on Portfolio Management

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DH
Gründer & CEO von CANVENA | 215 Mio. USD Track Record