Question
You work for a company that sells call options. Your job is to hedge against the risk of the options. One way to eliminate risk
You work for a company that sells call options. Your job is to hedge against the risk of the options. One way to eliminate risk when you sell a call option is to build a replicating portfolio whose value matches the value of the option. According to the calculations in chapter 15, a portfolio that hedges all risk needs to be constantly readjusted. There are many reasons why this is impossible. However, it is reasonable to readjust the hedging portfolio periodically (once per minute, for example). Your company sold call options on a stock. The option expires in 6 months, the risk-free rate is 6%, and the strike price is $50. The stock is currently trading at $52 dollars and has a volatility of 35%. How many shares of stock should you own in your hedging portfolio per call option sold? (In the notation of the chapter, what is your ?)
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