Question
The price of ABC stock is $100 per share. The interest rate for continuous compounding is 4.5% and the stocks volatility is 30%. ABC stock
The price of ABC stock is $100 per share. The interest rate for continuous compounding is 4.5% and the stocks volatility is 30%. ABC stock does not pay dividends. (a) A call option on ABC stock expires in three months, has a strike price equal to $95 per share, and is European exercise. Using a binomial tree with two time steps, what is the price per share of the call option? Use replication to answer this question. (b) Suppose the contract size is 100 shares of stock. Using your values of and B from part (a), how would you start the option replication at time t? (c) Suppose the contract size is 100 shares of stock. Over the first time step, suppose the stock goes down. Using your values of and B from part (a), what trades would you need to do to rebalance the replicating portfolio at time t+? Go back to Question 1, part (a), and calculate the option price per share again, this time using risk neutral valuation instead of replication.
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