in a one-period binomial model, assume that the current stock price is $100 and that it will rise by 10% with a probability of 45% or fall by 15% with a probability of 55% after one month. The annual risk-free rate of 2%. The call option price with an exercise price of $102 is equal to: O a $5.88 O b. $8.60 OC $5.33 Od $8.57

in a one-period binomial model, assume that the current stock price is $100 and that it will rise by 10% with a probability of 45% or fall by 15% with a probability of 55% after one month. The annual risk-free rate of 2%. The call option price with an exercise price of $102 is equal to: O a $5.88 O b. $8.60 OC $5.33 Od $8.57

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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You are pricing options with the following characteristics: •Current stock price (St): $35.60 •Exercise price (X): $50 •Time to expiration (T-t): 9 months •Risk-free rate (rf): 3.25% •Volatility (0): 45% (a): What is the Black-Scholes value of call option? In your hand-written solution, provide the calculations of d1,d2, and the final call price. Use Excel or another spreadsheet program to compute the values of N(d1) and N(d2). See the notes for details. (b): Using put-call parity, what is the value of a put option? For this case, assume continuous compounding, which implies that PVt(X)=e-r(T-t).X.
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Given the following information, predict the put option's new price after the stock's volatility changes. Initial put option price = $6 Initial volatility = 25% Vega = 13 New volatility = 18% (required precision 0.01 +/- 0.01) Greeks Reference Guide: Delta = ∂π/∂S Theta = ∂π/∂t Gamma = (∂2π)/(∂S2) Vega = ∂π/∂σ Rho = ∂π/∂r
he stock price of Copious Corp. is currently $31. The stock price 2 year(s) from now will be either $34 or $ 27. The annual risk - free rate is 7.2%. Using the binomial model, what is the value of a call option with an exercise price of $31 and an expiration date 2 year(s) from now?
Assume a stock price of $30.25, risk-free rate of 1 percent, standard deviation of 40 percent, N(d1) value of 0.7976, and an N(d2) value of 0.7089. What is the value of a six-month put with a strike price of $25 given the Black-Scholes option pricing model (rounded to the nearest cent)? $6.49 $0.83 $2.43 $1.12 None of the above are correct.
Black-Scholes Model Use the Black-Scholes model to find the price for a call option with the following inputs: (1) current stock price is $28, (2) strike price is $34, (3) time to expiration is 6 months, (4) annualized risk-free rate is 6%, and (5) variance of stock return is 0.09. Do not round intermediate calculations. Round your answer to the nearest cent. $
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Give typing answer with explanation and conclusion You are considering purchasing a put on a stock with a current price of $33. The exercise price is $35, and the price of the corresponding call option is $3.25. According to the put-call parity theorem, if the risk-free rate of interest is 4% and there are 90 days until expiration, the value of the put should be:
Suppose ABC's stock price is currently $25. In the next six months it will either fall to $15 or rise to $40. What is the current value of a six-month call option with an exercise price of $20? The six-month risk-free interest rate is 5% (periodic rate). [Use the riskneutral valuation method]A. $20.00 B. $8.57 C. $9.52 D. $13.10
Consider 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.
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The stock price of Copious Corp. is currently $30. The stock price 1 year(s) from now will be either $34 or $27. The annual risk-free rate is 1.4%. Using the binomial model, what is the value of a call option with an exercise price of $30 and an expiration date 1 year(s) from now?

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