Lot: Lot is a unit of trading. There are several Lot types: Even Lot, Job Lot, and Round Lot.
Trader: Trader is a merchant involved in cash commodities or a professional speculator who trades for his own account and who typically holds exchange trading privileges.
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Naked options trading is very risky - many people lose money trading them. It is recommended contacting your broker or investment professional to find out about trading risk and margin requirements before getting involved into trading uncovered options.