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***This is from Investment and Financial Mathematics (IFM) course for Actuaries. Please give handwritten solution with ALL steps shown plus with description because I need

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***This is from Investment and Financial Mathematics (IFM) course for Actuaries. Please give handwritten solution with ALL steps shown plus with description because I need to understand the process. I will give "thumbs-up" for clear and correct solution. Thanks in advance!***

A market maker sells 100 30-day European call options on a non-dividend paying stock and delta hedges them You are given that initially (day 0): (i) S = 200. (ii) r= = 0.05. (iii) or 0.4. (iv) K 200. Calculate the market-maker's overnight profit in the following cases: a) If the stock price stays the same on the next day (day 1). b) If the stock's price increases to 205 on the next day (day 1). c) If the stock's price decreases to 195 on the next day (day 1). (Answer: a) 15.3; b) -5.9; c) -7.3.)) A market maker sells 100 30-day European call options on a non-dividend paying stock and delta hedges them You are given that initially (day 0): (i) S = 200. (ii) r= = 0.05. (iii) or 0.4. (iv) K 200. Calculate the market-maker's overnight profit in the following cases: a) If the stock price stays the same on the next day (day 1). b) If the stock's price increases to 205 on the next day (day 1). c) If the stock's price decreases to 195 on the next day (day 1). (Answer: a) 15.3; b) -5.9; c) -7.3.))

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