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Hypo­thet­i­cal or sim­u­lated per­for­mance results have cer­tain inher­ent lim­i­ta­tions unlike actual per­for­mance record: sim­u­lated results do not rep­re­sent actual trad­ing. Also, since the trades have not actu­ally been exe­cuted, the results may have under– or over­com­pen­sated of the impact, if any, of cer­tain mar­ket fac­tors, such as lack of liq­uid­ity. Sim­u­lated trad­ing pro­grams in gen­eral are also sub­ject to the fact that they are designed with the ben­e­fit of hind­sight. No pre­sen­ta­tion is being made that any account will or is likely to achieve prof­its or losses sim­i­lar to those pre­dicted or shown.