Please answer the following questions in detail, provide examples whenever applicable, provide in-text citations.

  1. Discuss the risks and payoffs of the following positions, accompanied by payoff graphs.

Buy stock and a put option on the stock.

Buy a stock.

Buy a call.

Buy stock and sell a call option on the stock (covered call).

Buy a bond.

Buy stock, buy a put, and sell a call.

Sell a put (naked put).

  1. What is put–call parity and why does it hold? Could you apply the parity formula to a call and put options with different exercise prices? 
  2. Over the coming year, Ragwort’s stock price might drop from $100 to $50 or it might rise to $200. The one-year interest rate is 10%. 
  3. What is the delta of a one-year call option on Ragwort stock with an exercise price of $100?
  4. Use the replicating-portfolio method to value this call. 
  5. In a risk-neutral world, what is the probability that Ragwort stock will rise in price? 
  6. Use the risk-neutral method to check your valuation of the Ragwort option. 
  7. If someone told you that in reality there is a 60% chance that Ragwort’s stock price will rise to $200, would you change your view about the value of the option? Explain.


2 pages APA 7th format, make sure the similarity is blow 20% 

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