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An investor buys a call option on TomCo stock, agreeing to pay $100 for 1 share in 1 year if the investor exercises the option.

An investor buys a call option on TomCo stock, agreeing to pay $100 for 1 share in 1 year if the investor exercises the option. Analysts model the spot price S of TomCo stock in 1 year with PDF

fS(s) =1/100 (s 90), 90 s < 100

1/100 (110 s), 100 s 110

The investor pays $3 for the call option which could have been invested in a 12-month CD at interest rate i = 2.1%. What is the probability the investor makes a profit from buying the call option?

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