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Prices of two non-dividend paying stocks S and Q are 51.97145 and 40.61712 respectively. There are three possible outcomes for their prices after 1 year:

Prices of two non-dividend paying stocks S and Q are 51.97145 and 40.61712 respectively. There are three possible outcomes for their prices after 1 year: The continuously compounded risk-free rate is 8 %, r =8%. An option portfolio consists of a European call option on S with strike price 60 and a European call option on Q with strike price 60 also.

Calculate the price of this option portfolio.

Outcome

Price of S

Price of Q

1

80

20

2

54

40

3

40

70

Current price

51.97145

40.61712

Strikes

60

60

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