re: Options question ans tends to get closer The website has simplified the explanation of delta too far - to the point where it is wrong.
The delta is a mathematical thing that comes from the pricing model. It is a derivative. And so the website is right in the sense that a derivative is the limit of a ratio as the distance you measure it over tends to zero.
ie, according to moi delta = (option price when stock is $A minus option price when stock is $(A + h) ) divided by h as h tends to zero.
I hope a visiting Prof can confirm.
cheers
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