Two rival football fans have made the following wager: if their college football team wins the conference title outright, the other fan will donate $1,000 to the winning school. Both schools have had relatively unsuccessful teams but are improving each season. If the two fans must put up their potential donation today and the discount rate is 8% for the funds, what is the required upfront deposit if a team is expected to win the conference title in five years? Ten years? Twenty years?
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