Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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- The current price of a non - dividend paying stock is $38.52. Use a two-step tree to value a European call option on the stock with a strike price $32.3 that expires in 12 months. The risk free rate is 9.9% per annum, and the volatility is 28.1%. What is the option price?arrow_forwardthe current price of a stock is $100. what is the black scholes model price of a six month call option at strike $90, given an interest rate of 5% ? the volatility is 40% a. $17.76 b. $10.00 c. $15.00 d. $5.54arrow_forwardShow that Black-Scholes call option hedge ratios also increase as the stock price increases. Consider a 1-year option with exercise price $50, on a stock with annual standard deviation 20%. The T-bill rate is 3% per year. Find N(d1) for stock prices (a) $45, (b) $50, and (c) $55.arrow_forward
- Calculate the risk neutral probabilityarrow_forwardConsider the following information on AAPL. The current stock price is $326.72. The call option has a strike price of $320. The price of the call option is $68. The option has 1 year till expiration. Question: Suppose you purchase the option at the current price and hold it until expiration. If the stock price at expiration is $350, the return on your investment is: -55.88% 44.11% -100% None of the abovearrow_forwardXYZ stock has a current market price of $47.60 a share. the one-year call on XYZ stock with a strike price of $45 is priced at $3.20 whole the one-year put with a strike price of $45 is priced at $0.15. What is the risk-free rate of return?arrow_forward
- The current price of a stock is $33, and the annual risk-free rate is 6%. Acall option with a strike price of $32 and with 1 year until expiration has acurrent value of $6.56. What is the value of a put option written on the stockwith the same exercise price and expiration date as the call option?arrow_forwardConsider a call option on one share of BP with a strike price of $70 and exercise time 1 quarter (3 months). Suppose the current stock price for BP is S(0) = $65 per share. Suppose further that A(0) = $100, A(1) = $102 and two possible prices for S(1) are S $74 with probability 0.5, S(1) = $66 with probability 0.5. Evaluate the expected returns E(Ks) and E(Kc) for the stock and the option.arrow_forwardPlease correct answer and step by step solutionarrow_forward
- The current price of a non-dividend-paying stock is $40. Over the next year it is expected to rise to $44 or fall to $36. An investor buys put options with a strike price of $41. What is the price of each option? The risk-free interest rate is 2% per annum (assume discrete compounding). a. $2.35 b. $1.76 c. $2.18 d. $1.96arrow_forwardA stock price is currently $52. Its volatility is 35% p.a. . The risk-free interest rate is 8% p.a. with continuous compounding. What is the value of a 2-year European call option with a strike price of $55, using a 2-step binomial tree? Without doing any calculations, explain what would happen to the value of the option if the stock volatility decreasesarrow_forwardWhen the non-dividend paying stock price is $20, the strike price is $20, the risk-free rate is 5%, the volatility is 20% and the time to maturity is 3 months which of the following is the price of a European put option on the stock? N(.) denotes standard normal distribution values. O 20N(-0.1)-20N(-0.2) 20N(-0.2)-20N(-0.1) O 19.7N(-0.2)-20N(-0.1) O None of these O 19.7N(-0.1)-20N (-0.2)arrow_forward
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