Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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- The stock of Lead Zeppelin, a metal manufacturer, currently sells for $69 and has an annual standard deviation of 42 percent. The risk- free rate is 3.1 percent. What is the value of a put option with a strike price of $70 and 51 days to expiration? (Use 365 days in a year. Do not round intermediate calculations. Round your answer to 2 decimal places.) Value of a put optionarrow_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 $55. 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 6% per annum. Calculate the value of a one year power call option with an exercise price of $54. 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?arrow_forwardSuppose a one-year European put option on a stock has an exercise price of $30 and oneyear European call option on the same stock has the same exercise price of $30. The call is worth 3$ and the put is worth 2$. If the one-year interest rate is 1.5%, what is the price of the underlying stock, assuming no arbitrage opportunity?arrow_forward
- An American call option expiring in 3 - years has an exercise price of E1,500.00 on the Eswatini stockmarket and currently trades at E1,940.00. It is anticipated that the stock will rise by a factor of 1.10 andfell by a factor of 0.80. If the interest rate is 6%; find the upward prices of the option until its expiry andthe pay - offs a binomial tree.arrow_forwardA put option that expires in six months with an exercise price of $65 sells for $4.45. The stock is currently priced at $61, and the risk-free rate is 3.9 percent per year, compounded continuously. What is the price of a call option with the same exercise price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) X Answer is complete but not entirely correct. Call price $ 1.68 Xarrow_forwardThe price of Newgen Corp. stock will be either $94 or $103 at the end of the year. Call options are available with one year to expiration. T-bills currently yield 7.90%. (Do not leave any empty spaces; input a O wherever it is required. Omit "$" sign in your response.) a. Suppose the current price of Newgen stock is $104. What is the value of the call option if the exercise price is $94 per share? (Round the final answer to 2 decimal places.) Call option value b. Suppose the exercise price is $109 in part (a). What is the value of the call option now? Call option valuearrow_forward
- An option has a 40% (actuarial) chance of paying $7.03 when the underlying asset increases by 6.3% and a 60% (actuarial) chance of paying $8.67 if the underlying asset declines by 10.8%. Given that the risk-free rate is 3.6% p.a. and there are 3 months until this option is to expire, what is the risk-neutral price of this option? Answer:arrow_forwardLl.9.arrow_forwardUse the Black–Scholes formula to value the following options:a. A call option written on a stock selling for $72 per share with a $72 exercise price. The stock's standard deviation is 6% per month. The option matures in three months. The risk-free interest rate is 1.50% per month. (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. A put option written on the same stock at the same time, with the same exercise price and expiration date. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Please do not use excel, show work step by step, thank youarrow_forward
- A call option currently sells for $7.00. It has a strike price of $40 and five months to maturity. A put with the same strike and expiration date sells for $5.00. If the risk-free interest rate is 5 percent, what is the current stock price? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Current stock pricearrow_forwardYou sell a call option on Tesla stock with an exercise price of $150.00. The option expires after one month period as soon as the option premium is $12.00. what is the profit on this option is the stock price $180 at expiration?arrow_forwarda. Use the Black-Scholes formula to find the value of the following call option. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) i. Time to expiration 1 year. ii. Standard deviation 40% per year. iii. Exercise price $84. iv. Stock price $84. v. Interest rate 4% (effective annual yield). b. Now recalculate the value of this call option, but use the following parameter values. Each change should be considered independently. (Do not round intermediate calculations. Round your final answers to 2 decimal places.) i. Time to expiration 2 years. ii. Standard deviation 50% per year. iii. Exercise price $94. iv. Stock price $94. v. Interest rate 6%. c. In which case did increasing the value of the input not increase your calculation of option value? a. Call option value b-i. Call option value when time to expiration is 2 years. b-ii. Call option value when standard deviation is 50% per year. b-iii. Call option value when exercise price is $60. b-iv. b-v. C…arrow_forward
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