a. If the risk-free interest rate is 5% per year, what must be the price of a 3-month call option on C.A.L.L. stock at an exercise price of $105 if it is at the money? (The stock pays no dividends.) (Do not round intermediate calculations. Round your answer to 2 decimal places.) Price of a 3-month call option
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- The common stock of the C.A.L.L. Corporation has been trading in a narrow range around $95 per share for months, and you believe it is going to stay in that range for the next 6 months. The price of a 6-month put option with an exercise price of $95 is $6.00. Required: a. If the semiannual risk-free interest rate is 5%, what must be the price of a 6-month call option on C.A.L.L. stock at an exercise price of $95 if it is at the money? (The stock pays no dividends.) b. What would be a simple options strategy using a put and a call to exploit your conviction about the stock price's future movement? What is the most money you can make on this position? How far can the stock price move in either direction before you lose money? c. How can you create a position involving a put, a call, and riskless lending that would have the same payoff structure as the stock at expiration? What is the net cost of establishing that position now? Complete this question by entering your answers in the tabs…The common stock of the C.A.L.L. Corporation has been trading in a narrow range around $50per share for months, and you believe it is going to stay in that range for the next 3 months. Theprice of a 3-month put option with an exercise price of $50 is $4.a. If the risk-free interest rate is 10% per year, what must be the price of a 3-month call optionon C.A.L.L. stock at an exercise price of $50 if it is at the money? (The stock pays nodividends.)b. What would be a simple options strategy using a put and a call to exploit your convictionabout the stock price’s future movement? What is the most money you can make on thisposition? How far can the stock price move in either direction before you lose money?c. How can you create a position involving a put, a call, and riskless lending that would havethe same payoff structure as the stock at expiration? What is the net cost of establishing thatposition now?The common stock of the C.A.L.L. Corporation has been trading in a narrow range around $85 per share for months, and you believe it is going to stay in that range for the next 6 months. The price of a 6-month put option with an exercise price of $85 is $8.00. Required: a. If the semiannual risk-free interest rate is 4%, what must be the price of a 6-month call option on C.A.L.L. stock at an exercise price of $85 if it is at the money? (The stock pays no dividends.) b. What would be a simple options strategy using a put and a call to exploit your conviction about the stock price's future movement? What is the most money you can make on this position? How far can the stock price move in either direction before you lose money? c. How can you create a position involving a put, a call, and riskless lending that would have the same payoff structure as the stock at expiration? What is the net cost of establishing that position now? Complete this question by entering your answers in the tabs…
- The common stock of the C.A.L.L. Corporation has been trading in a narrow range around $135 per share for months, and you believe it is going to stay in that range for the next 6 months. The price of a 6-month put option with an exercise price of $135 is $10.70. Required: a. If the semiannual risk-free interest rate is 4%, what must be the price of a 6-month call option on C.A.L.L. stock at an exercise price of $135 if it is at the money? (The stock pays no dividends.) b. What would be a simple options strategy using a put and a call to exploit your conviction about the stock price's future movement? What is the most money you can make on this position? How far can the stock price move in either direction before you lose money? c.How can you create a position involving a put, a call, and riskless lending that would have the same payoff structure as the stock at expiration? What is the net cost of establishing that position now? Complete this question by entering your answers in the…The common stock of the C.A.L.L. Corporation has been trading in a narrow range around $145 per share for months, and you believe it is going to stay in that range for the next 6 months. The price of a 6-month put option with an exercise price of $145 is $8.19. Required: a. If the semiannual risk-free interest rate is 4%, what must be the price of a 6-month call option on C.A.L.L. stock at an exercise price of $145 if it is at the money? (The stock pays no dividends.) b. What would be a simple options strategy using a put and a call to exploit your conviction about the stock price's future movement? What is the most money you can make on this position? How far can the stock price move in either direction before you lose money? c. How can you create a position involving a put, a call, and riskless lending that would have the same payoff structure as the stock at expiration? What is the net cost of establishing that position now? Complete this question by entering your answers in the…The common stock of the C.A.L.L. Corporation has been trading in a narrow range around $40 per share for months, and you believe it is going to stay in that range for the next 6 months. The price of a 6-month put option with an exercise price of $40 is $8.49. Required: If the semiannual risk-free interest rate is 3%, what must be the price of a 6-month call option on C.A.L.L. stock at an exercise price of $40 if it is at the money? (The stock pays no dividends.) What would be a simple options strategy using a put and a call to exploit your conviction about the stock price’s future movement? What is the most money you can make on this position? How far can the stock price move in either direction before you lose money? How can you create a position involving a put, a call, and riskless lending that would have the same payoff structure as the stock at expiration? What is the net cost of establishing that position now?
- XYZ Corp. will pay a $2 per share dividend in two months. Its stock price currently is $60 per share. A call option on XYZ has an exercise price of $55 and 3-month time to expiration. The risk-free interest rate is .5% per month, and the stock’s volatility (standard deviation) = 7% per month. Find the Black-Scholes value of the option. (Hint: Try defining one “period” as a month, rather than as a year, and think about the net-of-dividend value of each share.)XYZ Corp. will pay a $2 per share dividend in 2 months. Its stock price currently is $72 per share. A call option on XYZ has an exercise price of $65 and 3-month time to expiration. The risk-free interest rate is 0.3% per month, and the stock's volatility (standard deviation) = 12% per month. Find the pseudo-American option value. (Hint: Try defining one "period" as a month, rather than as a year.) (Round your answer to 2 decimal places. Omit the "$" sign in your response.) Pseudo-American option valueThe current price of a stock is $16. In 6 months, the price will be either $20 or $12. The annual risk-free rate is 6%. Find the price of a call option on the stock that has a strike price of $13 and that expires in 6 months. (Hint: Use daily compounding.) Assume a 365-day year. Do not round intermediate calculations. Round your answer to the nearest cent.
- The current price of a stock is $21. In 1 year, the price will be either $26 or $16. The annual risk-free rate is 5%. Find the price of a call option on the stock that has a strike price of $22 and that expires in 1 year. (Hint: Use daily compounding.) Assume a 365-day year. Do not round intermediate calculations. Round your answer to the nearest cent.TreeOlivia's stock price is $180 and could halve or double in each six-month period. The interest rate is 12% a year. What is the value of a six-month call option on TreeOlivia with an exercise price of $120? What is the option delta for the six-month call with an exercise of $120? The payoffs of the six-month call option can be replicated by buying shares of stock and borrowing. What amount should be invested in stock and what amount must be borrowed? Assume the exercise price is $120. What is the value of the one-year call option on TreeOlivia with an exercise of $150? (Hint: use the two-step binominal tree) What is the value of the one-year put option on TreeOlivia with an exercise of $150?The current stock price of IBM is $64. A put option on IBM with an exercise price of $67 sells for $7 and expires in 1 month(s). If the risk-free rate is 1.1% per year, what is the price of a call option on IBM with the same exercise price and expiration date (keep two decimal places)?