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In next two questions  , suppose Amazon stock is currently selling at $200 per share; and the 1-year risk-free rate is 0%. An at-the-money 1-year put on Amazon is selling at $30.

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1. What is the no-arbitrage price of an at-the-money 1-year call option on Amazon?


 2. Assuming Amazon stock’s volatility is constant at the level expected by investors, how many shares of stock would you need to buy to replicate the 1-year call?


For  the following three questions   consider three 3-month American call options with strike prices of $75, $80, and $85 and market prices of $8.99, $6.37, and $4.37, respectively. The stock underlying these options is priced at $80 and pays no dividends. Suppose the risk-free rate is 0%.


1. Based on the options’ implied volatilities in the Black-Scholes model, investors seem to expect:

a.             The stock price will be log-normally distributed in 3 months

b.             There is a greater than lognormal probability of extremely good news

c.             There is a greater than lognormal probability of extremely bad news

d.             There is a greater than lognormal probability of extreme good and bad news

e.             None of above

Explain your answer



2. If the stock’s market beta is 1.0, which of the three  call options has the highest market beta?  


 3. If the stock’s alpha is 2% per year, what is the alpha of the call option with a strike price of $75? qualified writers are well-acquainted with the intricacies of academic writing. They are proficient in following the formatting, citation, and referencing guidelines specified by different institutions. This ensures that the work produced is not only academically sound but also meets the expectations of professors and professionals. Academic assignments often require critical analysis and evidence-based writing. qualified writers possess the skills to critically evaluate research, synthesize information, and present arguments backed by credible sources. This level of rigor is essential where evidence-based practice is paramount. When students receive well-researched and well-written assignments, they have the opportunity to learn from these examples. high-quality work serves as a valuable reference point for students, helping them understand complex concepts, research methodologies, and effective writing techniques.

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