Money Exchange (The Illusioners)



Question:
A person wants to change some Singapore Dollars to US Dollars.
He asks three of his friends for advice on how he should do it.

Friend X: If you want to get more US Dollars, then you should change Singapore Dollars to another currency first, then from this currency to US Dollar.
Friend Y: No, I disagree. You will get more when you change Singapore Dollars to US Dollars directly.
Friend Z: I think it doesn't matter which method you use. Both methods will give you the same amount of US Dollars eventually.



What do you think?
Who do you agree with?
Can you give examples to support your argument?

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