Assume the Black-Scholes framework. You are given: (i) The current price of a stock is 60. (ii)

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Assume the Black-Scholes framework. You are given: 

(i) The current price of a stock is 60. 

(ii) The stock pays no dividends. 

(iii) The stock’s volatility is 30%. 

(iv) The continuously compounded risk-free interest rate is 5%. 

Suppose you have just bought 200 1-year 60-strike European call options. 

Determine the numbers of units of a 1-year 65-strike European put option and the stock you should buy or sell in order to both delta-hedge and gamma-hedge your position in the 60-strike European calls. 

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