Magenta Corporation has a put option which it purchased 30 days ago. The option originally has a term of 120 days. The underlying assets are 1,000 Zeta Corp. stocks with total current market value of P1,125,000. The total agreed price is P1,080,000. If the risk-free rate is 5% and the volatility of the stock price is P45%, how much is the total value of the option?
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- 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?Assume that the current stock price is $50 per share, that call options can be purchased with an exercise price of $60 per share, that bank loans can be obtained for a 10 percent nominal rate, and that at expiration of the option in three months, the stock will either be valued at $30 or $70. Show that it is possible to replicate the stock payoff by borrowing and buying a call option.). Suppose the call option of Tesla company has an exercise price of $200 and expires in 90 days. Assume the current price of Tesla stock is $240, with a standard deviation of 40% per year. The risk-free interest rate is 6.18% per year. First, using the Black-Scholes formula, compute the price of the call. And then use put-call parity to compute the price of the put with the same strike and expiration date. Based on put-call parity, what should be the put option price? a. $ 2.65 b. $ 1.78 c. $ 3.69 d. $ 4.22 e. None of the above
- Suppose the call option of Tesla company has an exercise price of $200 and expires in 90 days. Assume the current price of Tesla stock is $240, with a standard deviation of 40% per year. The risk-free interest rate is 6.18% per year. First, using the Black-Scholes formula, compute the price of the call. And then use put-call parity to compute the price of the put with the same strike and expiration date. Based on put-call parity, what should be the put option price? $ 2.65 $ 1.78 $ 3.69 $ 4.22 None of the aboveThe 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?The stock of Bedrock Solutions is currently trading at $20.00 per share. The 1-month put option with strike price of 22.62 is currently selling for $4.38. What's the time value of this put option?
- ABC stock is currently trading at R70 per share. A dividend of R1 is expected after three monthsand another one of R1 after six months. A European call option on ABC stock has a strike priceof R65 and 8 months to maturity. Given that the risk-free rate is 10% and the volatility is 32%,compute the price of the option.The stock of Bedrock Solutions is currently trading at $15.00 per share. The 1-month call option with strike price of 25.50 is currently selling for $3.14. What's the time value of this call option?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 price of Cilantro, Inc., stock will be either $70 or $90 at the end of the year. Call options are available with one year to expiration. T-bills currently yield 6 percent. a. Suppose the current price of the company’s stock is $80. What is the value of the call option if the exercise price is $60 per share? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. Suppose the current price of the company’s stock is $80. What is the value of the call option if the exercise price is $75 per share? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)The stocks of Cee Mobile Limited is currently trading at $73 each. The call option on the company’s stock has an exercise price of $70, with fifty (50) days remaining to expiration. It is assumed that the yield on treasury bills is currently 2%, while the volatility of the stock price is estimated as being 35%. a. Using the Black-Scholes-Merton (BSM) model, calculate the value of the Call option, given the above parameters. Show all relevant workings. b. Of the value computed, how much is the intrinsic value and the time value of the Call option? c. Using the BSM model and the information given above, calculate the value of the Put option on the stock, with a similar strike price and days to expiration.The stocks of Cee Mobile Limited is currently trading at $73 each. The call option on the company’s stock has an exercise price of $70, with fifty (50) days remaining to expiration. It is assumed that the yield on treasury bills is currently 2%, while the volatility of the stock price is estimated as being 35%. Required: i. Using the Black-Scholes-Merton (BSM) model, calculate the value of the Call option, given the above parameters. Show all relevant workings.