The stock price of Heavy Machine (HM) changes only once a month: Either it goes up by 20% or it falls by 16.7%. Its price now is $50. The interest rate is 1% per month. What is the value of a one-month call option with an exercise price of $45? Round to 2 decimal points for each step of the calculation. A. $ 7.20 B. $ 7.13 C. $ 7.72 D. $ 7.80
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The stock price of Heavy Machine (HM) changes only once a month: Either it goes up
by 20% or it falls by 16.7%. Its price now is $50. The interest rate is 1% per month.
What is the value of a one-month call option with an exercise price of $45?
Round to 2 decimal points for each step of the calculation.
A. $ 7.20
B. $ 7.13
C. $ 7.72
D. $ 7.80
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- 1. The stock price of Heavy Metal (HM) changes only once a month: either it goes up by 20% or it falls by 16.7%. Its price now is $40. The interest rate is 12.7% per year, or about 1% per month. a. What is the value of a one-month call option with an exercise price of $40? b. What is the option delta? c. What is the option delta of the two-month call over the first one-month period? d. Show how the payoffs of this call option can be replicated by buying HM’s stock andborrowing. e. What is the value of a two-month call option with an exercise price of $40?The stock price of Heavy Metal (HM) changes only once a month: either it goes up by 24% or it falls by 20.7%. Its price now is $48. The interest rate is 1.2% per month. What is the value of a one-month call option with an exercise price of $48? What is the option delta? The payoffs of the 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? What is the value of a two-month call option with an exercise price of $49? What is the option delta of the two-month call over the first one-month period?The share price of Heavy Metal (HM) changes only once a month: Either it goes up by 22% or it falls by 18.5%. Its price now is $48.7. The interest rate is 0.9% per month. What is the value of a one-month call option with an exercise price of $48.7?
- IBM stock currently sells for 49 dollars per share. Over 12 months the price will either go by 11.5 percent or down by -7.0 percent. The risk-free rate of interest is 4.5 percent continuously compounded. What is the value of a put option with strike price 51 and maturity 12 months?IBM stock currently sells for 49 dollars per share. Over 12 months the price will either go by 11.5 percent or down by -7.0 percent. The risk-free rate of interest is 4.5 percent continuously compounded. What is the value of a call option with strike price 51 and maturity 12 months?The common stock of the CGI Inc. has been trading in a narrow range around $35 per share for months, and you believe it is going to stay in that range for the next three months. The price of a three-month put option with an exercise price of $35 is $2, and a call with the same expiration date and exercise price sells for $3. Suppose you write a strap ( = write 2 calls and write 1 put with the same strike price) and the stock price winds up to be $37 at contract expiration. What was your net profit on the strap? A. $200 B. $300 C. $400 D. $500 E. $700
- 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.)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 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)?
- The common stock of the P.U.T.T. Corporation has been trading in a narrow price range for the past month, and you are convinced it is going to break far out of that range in the next three months. You do not know whether it will go up or down, however. The current price of the stock is $100 per share, and the price of a 3-month call option at an exercise price of $100 is $10.a. If the risk-free interest rate is 10% per year, what must be the price of a 3-month put option on P.U.T.T. stock at an exercise price of $100? (The stock pays no dividends.)b. What would be a simple options strategy to exploit your conviction about the stock price’s future movements? How far would it have to move in either direction for you to make a profit on your initial investment?Option has a strike price of $75 and expires 65 days from today. The return on a 65-day T-bill is 3.5% per year compounded continuously. G current stock price is $58 per share and the standard deviation of returns on NY is 46%. What is the value of this put optionTreeOlivia'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?
