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Assume that the initial stock price is So = $ 1 0 0 . You would like to hedge a long position of 2 0

Assume that the initial stock price is So=$100. You would like to hedge a long position of 20 call contracts (100 shares per contract) with 250 days to maturity anda strike price of $120. The annualized risk-free rate is 2%(continuously compounded. Suppose that, after 50 days the stock price decreases to $95. The volatility of the stock returns is constant at 50%. How many shares of stock would you need to trade after those 50 days to rebalance your hedge portfolio? (Hint: Use the hedge ratio from the Black-Scholes formula in your calculations, and consider a year with 365 days)Note: If you sell or take a short positich, please enter a negative number. If you buy back or take a long position, please enter a positive number. Enter your answer to thewhole number e.g. if your answer is 98.16 enter as 99. If your answer is -102.3 enteras -103.

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