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Consider a European call option on a non - dividend - paying stock where the stock price is $ 3 3 , the strike price

Consider a European call option on a non-dividend-paying stock where the stock price is $33, the strike price is $36, the risk-free rate is 6% per annum, the volatility is 25% per annum and the time to maturity is 6 months.
(a) Calculate u and d for a one-step binomial tree.
(b) Value the option using a non arbitrage argument.
(c) Assume that the option is a put instead of a call. Value the option using the risk neutral approach.
(d) Verify that the European call and European put prices found in (b) and (c) satisfy the put-call parity.

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