Leveraged ETFs are a bad idea for low-Sharpe, high-vol single stocks. They work better for a diversified stock/Treasury/gold/trend mix.
The leverage that empirically maximized compound returns in @the_green_lark's chart is similar to the theoretical Kelly leverage (Sharpe/volatility).
I asked Grok to generate this table. It figured out the implications of Sharpe/vol and added the comment about continuous-time Kelly leverage.
Would you run the four-asset mix at 5x (half-Kelly)?
Historical CAGR starting 1985 as a function of leverage.
Single-stock leveraged ETFs generally aren't suitable for long-time holding, though there may be exceptions like BRKA, which is effectively an index and behaves similar under leverage as the market.
Some leverage makes a lot of sense for ETFs diversifying into bonds, gold, trend.
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Capital efficiency is vastly underrated, and this area is exactly where I am focused
Much more very soon…
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Capital Efficiency Matters
If you care about long-term CAGR, you actually want volatility. Volatility means your money is working harder per unit of funding.
I asked grok to compare simulated returns on two hypothetical investment strategies:
1) Sharpe Ratio = 1, volatility = 20%
2) Sharpe Ratio = 2.5, volatility = 5%
Everyone thinks strategy 2 is better, and its certainly easier to hold and harder to build. But after 10 years you are between 80-90% likely to have made more money with strategy 1 than with strategy 2, depending on how correlated they are. (The more correlated their returns streams between 1 and 2, the lower the volatility of the diff, and therefore more likely you are to do better with 1)
The challenge, of course, is risk managing the left tail, which is considerably easier to do with strategy (2). And TOO much volatility nearly guarantees permanent capital destruction, so you need a judicious approach. Too much leverage is a really terrible idea.
Still, the point stands - for many investors it makes sense to make your money work harder by being willing to warehouse the fluctuations arising from a judicious application of dynamic leverage. This is one obvious path to better CAGR... *if* you can withstand the noise.
Some nice charts from grok.
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I like this post and mostly agree. I have noticed, though, that 2.5 Sharpe strategies use more leverage because they hedge out more uncompensated bets, and the increased leverage makes it harder to manage tail risks. Has your research found otherwise?
Sep 6, 2026 · 2:14 PM UTC
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