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What variety of hedges are there against index funds of U.S. based stocks?
The only way to hedge a position is to take on a countervailing position with a higher multiplier as any counter position such as a 1:1 inverse ETF will merely cancel out the ETF it is meant to hedge yielding a negative return roughly in the amount of fees & slippage. For true risk-aversion, continually selling the shortest term available covered calls is the only free lunch.  A suboptimal version, the CBOE BuyWrite Index, has outperformed its underlying with lower volatility. The second best way is to continually hedge positions with long puts, but this can become very tax-complicated since the hedged positions need to be rebalanced continually and expensive depending on option liquidity. The ideal, assuming no taxes and infinite liquidity, is to sell covered calls when implied volatility is high and buy puts when implied volatility is low.