Back to the past

Discrete Mathematics Level pending

A man deposits a 10000 dollar in a bank, where the annual compound interest is 2%. He claims that if he invents a time machine, going back to the past and collect interest given by the bank in the previous year, he could obtain (10000 *[(2%)^ (-1)] ) , a total of 500000 dollars, is that right? If not, what is his actual loss (or gain) ?

Reminder: Input 0, if it is right.

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