Quote from sambian:
My portfolio is now $562.5, but if I just bought and held euros, it would be $250. And the idea of the system is that it's profitable in both currencies in the long run, when there are up and down movements. You take an example of only two movements, both of them are down movements, and then you ask "Where on earth did you make some profits". I have written very clearly in the title and many times in the article that the system is profitable in the long run, if the price follows a random walk. It is also useful if markets are efficient and you can not predict future prices. If you can predict when eur/usd will be 0.25, of course the best is to bet all your money on it.
Let's go ahead with the movements. The next 2 movements are up.Quote from MasterAtWork:
What makes your assumption of long term profits holding ?
I took only the movements you did. But we can go ahead with the movements of your choice.
Quote from sambian:
No offense, but you seem to not read what I write, or maybe you don't think about it. This is what I have written:
My portfolio is now $562.5, but if I just bought and held euros, it would be $250
Let's go ahead with the movements. The next 2 movements are up.
We have $562.5, we buy euros with half of them = â¬1125 and keep the other half = $281.25
4. eur/usd = 0.5
Our portfolio is $281.25 and â¬1125. It is worth 281.25+1125/2=281.25+2500=$843.75
We buy euros with half of them.
5. eur/usd = 1
Our portfolio is $421,875+â¬843.75 = $1265.625
Summary: The price was 1 in the beginning and at the end was again 1. Our portfolio went from $1000 to $1265.625.
I have written these kind calculations countless times only in this topic. I have given a link to a spreadsheet with these calculations in my first post, here is a link again - http://rapidshare.com/files/372675452/eur-usd_example.xlsx.html
I'm tired of explaining the same thing over and over again, so if you have more questions, please first read the whole article and the whole thread here.
Quote from sambian:
Ok, now think about this example:
I offer you a game, in which we flip a fair coin. You pay me some amount of money to participate in each flip. If it comes up heads, I give you back twice your bet, and if it comes up tails, I keep half of your bet. How much will you bet each time?
For example:
You have $10. You believe that the Kelly ratio should be 1 and bet all - you pay $10 for the first flip. It comes up heads and I pay you back $20. Then you bet them all, the coin comes up tails and I keep half of your bet, so you are left again with $10.
