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Consider a non-dividend-paying stock whose current spot price is $100 per share. The price of this stock can be modeled as a one-step binomial tree,
Consider a non-dividend-paying stock whose current spot price is $100 per share. The price of this stock can be modeled as a one-step binomial tree, and we assume that the stock price will go up by 4% or go down by 3% in 1 year. Suppose that the risk free rate is always 2% per annum with continuous compounding. Consider a 1-year European call option with a strike price of $102 on this stock. (a) What is the price of this 1-year European call option now? (b) What is the delta of this 1-year European call option corresponding to stock price movement over the year? (c) Consider a portfolio that consists of shorting one 1-year European call option with a strike price of $102 on this stock and longing one share of the underlying stock. Is this portfolio a riskless portfolio? Explain your answer as clearly as possible
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