Suppose you are a fund manager. The daily risk-free rate is 0.02/252 as continuously compounding rate. The daily expected net returns of your fund is 0.08/252. The volatility of log returns of your fund is 0.25/sqrt(252) daily. Your fund is currently worth $200mil. Your bonus depends on your 1-year (252 days) performance. If the value of your fund turns out less than $200mil a year later, you have no bonus. If the value of your fund turns out between $200mil and $210mil a year later, you will receive $2mil bonus. If the value of your fund turns out between $210mil and $220mil a year later, you will receive $3mil bonus. If the value of your fund turns out larger than $220mil a year later, you will receive $5mil bonus. What is the present value of this bonus scheme?

1) $1mil

2) $1.5mil

3) $2mil

4) $2.5mil

5) $3mil