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Stock Order Qualification



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I would like to validate (or correct) my understanding of the variables that
determine how one may qualify a stock order.  By qualification, I mean
specifying that an order is AON, FOK, DNR, IOC, etc.

I believe a valid set of qualifiers is a function of the following:

1.  Order type (market, limit, stop, stop-limit)
2.  Order action (buy, sell)
3.  Duration, or time limit (Day, GTC)
4.  Whether or not a round lot order is required

Here are some examples:

OT                OA         TL         OQ        Round Lot

MARKET     BUY       N/A        AON      TRUE 
LIMIT            BUY       GTC      AON      TRUE
LIMIT            BUY       GTC      DNR      FALSE
LIMIT            BUY       DAY      AON      TRUE
LIMIT            BUY       DAY      FOK      FALSE
LIMIT            BUY       DAY      IOC      FALSE
MARKET      SELL   N/A        AON     TRUE
LIMIT             SELL   GTC      AON     TRUE
LIMIT              SELL   DAY     AON     TRUE
LIMIT              SELL   DAY     FOK     FALSE
LIMIT              SELL   DAY     IOC      FALSE
STOP            SELL   GTC     DNR     FALSE
STOP_LIMIT SELL   GTC    DNR     FALSE



All qualifiers except AON and DNR are mutually exclusive.  For example, a
limit, buy, GTC order can be qualified as AON and DNR (a round lot is still
required, of course).

Does this sound accurate, or is it way off the mark?  Are there other
factors involved?  Thanks.