(40 points) You have a clinet who believes that the common stock price of Moderna Inc. (MRNA), currently trading at $80 a share, could move substantially in either direction in reaction to an expected FDA decision involving the company's application for its noval coronavirus vaccine candidate (mRNA-1273). The client currently owns no shares of MRNA but asks you for advice about implementing a strategy to capitalize on th possible stock price movement. The price of a 3-month put option with an exercise price of $80 is $ 12. a. If the risk-free interest rate is 3% per year, what must be the price of a 3-month call option on MRNA stock at an exercise price of $80 if it is at the money? Keep three decimal places. Show your work. The price of the call = b. What would be a simple options strategy using a put and a call to exploit your client's conviction about the stock price's future movement? What is the most money you can lose on this position? The strategy is The most money one can lose on this position is The price of the call = b. What would be a simple options strategy using a put and a call to exploit your client's conviction about the stock price's future movement? What is the most money you can lose on this position? The strategy is The most money one can lose on this position is c. Calculate, at expiration, the range of stock prices at maturity for which the strategy is profitable; that is, for which range of end prices is your profit positive? Keep three decimal places. The stratey is profitable if