One question: how does Google have to perform for owning the stock on margin to beat selling long-dated puts on it. Change any input; everything below recalculates.
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Buying wins above
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Google must return
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Selling caps at
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Terminal price
Buy P&L
Sell P&L
Difference
What each side ties up in margin
Shares, Reg T (standard margin, 25% of value)
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Shares, portfolio margin (risk-based, 15% of value)
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Uncovered (naked) short put (20% collateral rule, 10% floor)
The crossover prices come from solving where the two strategies pay exactly the same at expiry. Between them, one strategy wins by construction, not by opinion.
Buying on margin is a bet with unlimited upside and a floor near the cash you put down. Selling puts caps the gain at the premium and leaves you exposed below the strike.
The probability numbers use the drift you set, not the risk-free rate, so a bullish drift makes buying look better and a bearish one favors selling. Move it to see how sensitive the picture is.
The reference Black-Scholes value next to the premium shows whether the option is priced rich or cheap against the volatility you entered. It does not predict what the option will actually trade for.
The margin line shows what each side actually ties up in collateral, Reg T (standard margin) for the shares and the 20% collateral rule for the naked put, even though both sides are sized off the same capital figure everywhere else on this page.