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Currently, the spot price of a non-dividend-paying stock is $100 per share. It will increase to $110 or decrease to $90 in 1 year. Suppose
Currently, the spot price of a non-dividend-paying stock is $100 per share. It will increase to $110 or decrease to $90 in 1 year. Suppose that the risk-free rate is always 3% per annum with continuous compounding.
(a) What is the risk-neutral probability that the stock price will move up?
(b) What is the price of a 1-year European call option on this stock with a strike price of $105?
(c) What is the delta corresponding to stock price movement over the year?
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