Not sure if there is some trick to your question or if I'm not quite understanding how you're stating it.
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Originally Posted by pipgod
I have a $10,000 demo and I want to risk 1% of my capital.
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The key phrase in here is 'risk 1% of your capital'. This means that you only want to risk losing 1% of your money if your stop loss is hit. Since you don't state what your stop loss level is it gets kind of tricky. As you'll see below, you'll lose a lot more than 1% of your money if you trade using one standard lot.
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Originally Posted by pipgod
The leverage is 100:1. I open a lot position short on the EUR/USD. If the EUR/USD moves 100 pips long what is my loss? If the EUR/USD moves 100 pips short what is my profit?
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Here you are opening a one lot position. Let's assume that you're talking about a standard 100,000 unit lot. This means that each pip movement will equate to a $10 gain or loss. Let's also assume that the EUR/USD is trading at 1.300 (and ignore spreads for now).
Note that opening a 100,000 unit position means that you have opened a position that is worth $130,000. This means your gearing is 13:1.
Your open position size has nothing to do with the leverage that is being offered by your broker, other than the fact that your the total gearing of all your open trades must not be greater than the leverage offered by your broker.
If you had a 100 pip loss, then you would lose $1000 (100 pips x $10 per pip). A 100 pip move in your favour nets you a profit of $1000.
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Originally Posted by pipgod
I have a $10,000 demo and the leverage is 200:1.
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If you performed the exact same trade when your leverage was 200:1 then there would absolutely no difference in the amount of money you would make or lose. Your gearing would be exactly the same and thus your profit or loss would be the same.
The extra leverage would allow you to borrow more money from your broker to put on a larger trade (i.e. increase your gearing) if you so desired, but it has no effect on a trade that is a fixed 1 lot entry.