the following questions in detail, provide examples whenever applicable, provide in-text citations. 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). 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? 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%. a. What is the delta of a one-year call option on Ragwort stock with an exercise price of $100? b. Use the replicating-portfolio method to value this call. c. In a risk-neutral world, what is the probability that Ragwort stock will rise in price? d. Use the risk-neutral method to check your valuation of the Ragwort option. e. 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