A binomial tree is used to value a European call option. The strike price is $90 and the option expires 6 months from now. The underlying stock price is modeled by a binomial tree with volatility o = 0.2, time step dt = 0.25, and number of time steps n = 2. The risk-free interest rate is %3D r = 0.04. (a) Find p, q, u and v. (b) If the current stock price is $100, find the current value of the option.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter20: Financing With Derivatives
Section20.A: The Black-scholes Option Pricing Model
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Please explain both a and b

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A binomial tree is used to value a European call option. The strike price
is $90 and the option expires 6 months from now. The underlying stock
price is modeled by a binomial tree with volatilityo = 0.2, time step
St = 0.25, and number of time steps n = 2. The risk-free interest rate is
r = 0.04.
(a) Find p, q, u and v.
(b) If the current stock price is $100, find the current value of the option.
Transcribed Image Text:A binomial tree is used to value a European call option. The strike price is $90 and the option expires 6 months from now. The underlying stock price is modeled by a binomial tree with volatilityo = 0.2, time step St = 0.25, and number of time steps n = 2. The risk-free interest rate is r = 0.04. (a) Find p, q, u and v. (b) If the current stock price is $100, find the current value of the option.
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