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Company A is currently trading at $100 per share. After examining the stock of Company A, you have determined that in each 3 month period its price will either increase to 25% or decrease by 20%. The interest rate is 3% every 3 months.
Required:
a)A six month European call option on Company A has an exercise price of $90.What is the value of this call option?
b)cput option on Company A with an exercise price of $90?
c)Verify that put-call parity holds.
d)Now suppose that Company A pays a dividend equal to $25 in three months.What is the value of a six month American call option on Company A with an exercise price of $90? Would you ever want to exercise this option early?
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