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Assume the Black-Scholes framework. A market-maker has sold 10 90-day $50-strike European call options, each covering 50 shares of a stock. The market-maker has delta-hedged
Assume the Black-Scholes framework. A market-maker has sold 10 90-day $50-strike European call options, each covering 50 shares of a stock. The market-maker has delta-hedged his position by buying the underlying stock. You are given: I. The current price of the stock is $40. II. The stock pays dividends continuously at a rate proportional to its price. The dividend yield is 2%. III. The volatility of the stock is 25%. IV. The continuously compounded risk-free interest rate is 6%. V. There are 365 days in a year. If the price of the stock increases to $55 after 14 days, determine the additional number of shares of stock the market-maker needs to buy in order to rehedge his position. Please round your answer to the nearest dollar. $820 $732 $390 O O OOO $415 $39 Assume the Black-Scholes framework. A market-maker has sold 10 90-day $50-strike European call options, each covering 50 shares of a stock. The market-maker has delta-hedged his position by buying the underlying stock. You are given: I. The current price of the stock is $40. II. The stock pays dividends continuously at a rate proportional to its price. The dividend yield is 2%. III. The volatility of the stock is 25%. IV. The continuously compounded risk-free interest rate is 6%. V. There are 365 days in a year. If the price of the stock increases to $55 after 14 days, determine the additional number of shares of stock the market-maker needs to buy in order to rehedge his position. Please round your answer to the nearest dollar. $820 $732 $390 O O OOO $415 $39
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