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L.12 · INTERMEDIATE · 3 MIN

Naive Diversification: The 1/N Trap

Naive diversification is the assumption that holding many positions IS the same as being diversified. It is the most common technically-true-but-misleading shortcut in retail investing. Counting 30 stocks in a portfolio tells you nothing about diversification; what matters is how those 30 positions correlate when markets stress.

Quiz · 5 questions ↓
§ 01

Benartzi and Thaler (2001) called the bias '1/N' after watching 401(k) participants split contributions equally across whatever fund options the plan offered — typically allocating ~1/N to each fund regardless of whether the funds were genuinely diverse. A plan with 6 stock funds and 1 bond fund yielded 86% stock allocations on average; the same population given 1 stock fund and 6 bond funds went 14% stocks. The portfolio was determined by the menu, not by the investor's actual risk preference.

§ 02
Naive-Diversification ViewCorrelation-Aware ViewWhy It Matters
20 tech stocks across 5 sub-sectors = diversified20 tech stocks have ~0.7-0.9 cross-correlation in a sell-off — effectively one positionThe 2022 NASDAQ drawdown took down all 20 simultaneously — diversification was illusory
5 S&P 500 ETFs from different issuers = diversifiedAll 5 hold roughly the same 500 names — you own the same beta 5×Net exposure is identical to one ETF; the count creates a false sense of breadth
10 large-cap dividend stocks across sectors = diversifiedMost large-cap dividend stocks correlate ~0.6-0.8 in equity drawdownsCross-asset diversification (bonds, cash, international, alternatives) does more work than stock-count
§ 03

Markowitz (1952) defined true diversification as adding low-correlation positions: a position correlated 0.3 with the rest of the portfolio reduces variance more than 5 positions correlated 0.8. The math says you need ~15-20 securities to capture most diversification benefit IF correlations are low — but if all 20 securities are large-cap US equities, you have captured the diversification benefit of 1-2 securities and stopped early.

§ 04

Forget counting positions. Instead, group your portfolio into three buckets: (1) **same beta exposure** (e.g., US large-cap equity — likely VTI, SPY, individual mega-cap stocks, most US large-cap mutual funds); (2) **distinct risk factors** (international developed, emerging markets, US small-cap, real assets, commodities); (3) **low-correlation diversifiers** (high-quality bonds, gold, cash). A portfolio with 30 positions that all live in bucket 1 is undiversified; a portfolio with 5 positions spread across all three buckets is meaningfully diversified. The bucket count matters more than the position count.

§ 05
List your top 10 holdings (or all of them if you have fewer). For each, write down: (a) asset class (US equity / international / bonds / etc.), (b) market cap, (c) sector. Now group them: how many are large-cap US equity? If more than 70% sit in one bucket, your portfolio is likely closer to a single concentrated bet than your position count suggests. The fix is not 'add more US large caps' but 'add a different bucket' — international, bonds, or a low-correlation alternative.
§ 06

Diversification is measured by what your positions DO, not by how many you have. Two positions with 0.2 correlation diversify more than ten with 0.8 correlation. The naive heuristic of 'spread it around' is a starting habit, not a finished strategy — it gets investors past concentration in a single stock but rarely past concentration in a single risk factor.

§ 07
An investor holds 25 stocks across 8 sectors but all are US large-cap names with above-average beta. The S&P 500 falls 30%. Approximately what should the investor expect?
§ 08
Which portfolio is more genuinely diversified, in the Markowitz sense?
Five questions · AI feedback

Sit with the ideas.

Benartzi and Thaler's 1/N study (2001) found that 401(k) participants split contributions roughly equally across the funds offered, regardless of those funds' content. Which conclusion is most directly supported?

Why:
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