Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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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?
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- The current market share price of Belta Airlines plc is $20. Every month, the stock price is expected either to increase by a multiplicative factor u = 1.1, or decrease by d = 0.91. The relevant annual continuously compounded risk-free rate of interest is 6%. 2. (a) What, according to the binomial option pricing model, will be the price of a 3-month European put option on a share of Belta stock, with a strike price of £19.50? (b) (c) What would the price of the put option was American style? If your answers to parts (a) and (b) differ, why do they differ?arrow_forwardThe 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.arrow_forwardIBM stock currently sells for 84 dollars per share. Over 8 months the price will either go up by 7.5 percent or down by -3.0 percent. The risk-free rate of interest is 4.5 percent continuously compounded. A call option with strike price 83 and maturity of 8 months has a delta of 0.82766. What is the value of this call option? 0.62579 O2.6708 O4.0788 2.9324 O4.3788arrow_forward
- The market price of a security can be modelled by assuming that it will either increase by 25% or decrease by 15% each month, independently of price movement in other months. No dividends are payable in the next two months. The continuously compounded monthly risk-free rate of interest is 1%. The current market price of the security is 127. a.) Use the binomial model to calculate the value of a two-month European put option on the security with strike price of 125. b.) Calculate the value of a two-months American put option on the same security with the same strike price. c.) Calculate the value of a two-months American call option on the same security with the same strike price.arrow_forwardSuppose 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 abovearrow_forwardMasukharrow_forward
- 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. $ 7.20B. $ 7.13C. $ 7.72D. $ 7.80arrow_forwardA power call option pays off (max(ST-X, 0))2 at time T, where ST is the stock price at time T and X is the exercise price. A stock price is currently $54. It is known that at the end of one year it will be either $60 or $50. The risk-free rate of interest with continuous compounding is 8% per annum. Calculate the value of a one year power call option with an exercise price of $55. a. What is the delta of the power call option? (sample answer: 1.55 or 0.55)b. What is the risk neutral probability of up movement? (sample answer: 55.50%)c. What is the value of the power option? (sample answer: $15.50)arrow_forward
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