The instruments are naturally overexposed to gamma/shifts in gamma, so you discount and use sublinear reweighting / constraints
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what do you mean by "time decay"? If you're trading options then it's the linear EV of the option you care about (which is not the linear EV of the stock, of course); "time decay" is built into calculating the linear EV of the option.
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And swaps *are* just linear instruments, so what I said holds, you just care about the linear EV of underlying (marked to how long you're planning to hold, plus interest rates you'll have to pay, etc.)
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Right, but interest rate volatility factors into your expectation operator and potentially does as a constraint
Worst-case volatility corrections != average case, and for some markets you do one and not the other
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why does interest rate *vol* matter, and not just EV of interest rate?
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Anyway all of these feed into "linear EV of the instrument you're trading/the trade you're doing"
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But the constraints you engender in practice (liquidity constraints, observed correlations / seasonality) turn “linear” into “linear with constraints” which can be... very different!
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I’m not arguing for logarithmic measurements, but instead a simple observation that you often end up sublinear when you add in practical constraints that are you realized
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strongly disagree with your claim in practice -- nonlinear factors rear their head once in a while but 99% of the time you're basically just dealing with linear factors
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(except for options trading, which is fairly different!)