I don't know how relevant this is to computational finance, but in scientific computing you can use up an arbitrary amount of RAM in dimensionality-cursed fields. For instance, in neutron transport theory, the governing equation is in 7 continuous variables (or 6 in steady state), so that if you want your mesh to be twice as fine, your memory usage increases by 2^7 (or 2^6).
And, just so we're clear, that's multiplicative, not additive. So you're using 2^7 times as much memory as you were using before.
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I don't know how relevant this is to computational finance, but in scientific computing you can use up an arbitrary amount of RAM in dimensionality-cursed fields. For instance, in neutron transport theory, the governing equation is in 7 continuous variables (or 6 in steady state), so that if you want your mesh to be twice as fine, your memory usage increases by 2^7 (or 2^6).
And, just so we're clear, that's multiplicative, not additive. So you're using 2^7 times as much memory as you were using before.