I've been racking my brain on this and talking to some people and here's what it sounds like to me:
"Equity with Margin Value" basically means your total equity. The "Margin Value" part is there to take out the margin loan (i.e. your real equity could be less than the value of the positions you hold). IB defines EMV as "cash + equities value" which means that if you are carrying a margin loan your cash is negative.
"Account's Total Initial Margin Requirement" is the margin requirement if the trade you request goes through. For instance, if you start the day all in cash, then want to enter a position, the margin requirement would be the value of the stocks you want to buy/short times 25% (this all assumes Pattern Day Trader margin account).
As someone already said, this means that if the stock goes up or gaps up and profit, this does not increase your buying power because your prior day's equity is what is used on the left side of the equation. I assume that this only works against you, i.e. if you close the position at a loss, you do not get to use the larger prior nights equity to figure your buying power. But there may be some more effects.
For daytraders who are out to cash every night, this rule has no effect beyond what they are already working from. For those that carry overnight, it gets more complicated because the "Total Initial Margin Requirement" (the right side of the equation) for new trades depends on which column they count positions against so that they know whether to multiply by 50% or 25%. Clearly, the stocks you own from the prior day are multiplied by 50% whereas any new positions are multiplied by 25% to figure margin requirement.
So, for example...
1. 40K account all cash at the end of the day. Next day, DT buying power begins at 160K. If you want to buy $160K worth of stock then prior night's equity (40K) is equal to the total initial margin requirement (160K x 25%), so the trade goes through. Pretty simple baseline example.
2. Same 40K account holding overnight 20K worth of stock. Next day, you want to buy 130K worth of stock. Your prior night's equity (40K) is less than total inital margin requirement of (20K x 50%) PLUS (130K x 25%), so the trade does not go through. Here is an example where you could have taken a net 160K position had you started the day in cash, even though this rule prevents you from accumulating to a smaller $150K position (I'm assuming no stock price movement to simplify the example).
The situation I described earlier with my Tradestation account is more complicated and has to do with how Bear Stearns (the clearing firm) applies the rule. I think that the rule forces firms to make a decision in the software as to which column to count trades in for the the right hand side of the equation. As I explained, their software for some reason counted it so that it left me net short on daytrades thereby carrying forward the deduction from my buying power all day and causing a small trading call. This sounds to me like a specific problem that may not have anything to do with how IB/TH or any other firm implements enforcement of the rule. But it's also becoming clear to me that the problem *is* caused by the rule insofar as it forced my firm to introduce logic that decides into which column (25% or 50%) trades should count.
I think their logic is flawed and if IB's logic is better, I may be doing more trades from my IB account from here on out...but we'll see.
And btw, IB did post an example on their site...while it is english, it is not exactly "plain english"...
http://www.interactivebrokers.com/index.html?html/retailAccount/stock_margin.html~top.body
--Derek