Ermmm.... this statement is false?
Interesting answer, and the question could be considered somewhat ambiguous on these sort of answers. But I don't think this would count as a correct answer.
The reason is that your statement is supposedly a paradox. So suppose we called up some logicians to decide status of the quoted statement. They would most likely come to one of four conclusions:
1) the quoted statement is true
2) the quoted statement is false
3) the quoted statement is both true and false (hence not strictly an either true or false proposition)
4) the quoted statement is devoid of any content so it is meaningless
Note that in first case you can't guarantee that you would get your required prize. In the second case you would never get your required prize. In third case, either I could choose to give you any of the three prizes OR I could just say that you should give me a new statement that can be classified as either true or false.
In the fourth case the only reasonable thing I could do would be to ask you to provide a new statement OR maybe don't give any prize
.
But in none of these cases you can guarantee that you will get your required prize. There is a simple answer that guarantees this.