Consider a Black - Scholes model, where the risk - free rate is r = 0.03, the volatility is σ = 0.1, and S(0) = $350 i ) Find the price of a European call with strike price K = $ 300 and expiration T = 1. ii) Compute the Greeks ( Delta, Gamma, Theta, Rho, Vega), for t = : 0.5 and S(0.5) = $400, for the European call of i). iii) Find the price of a European put with strike price K = $320 and expiration T = 1. iv) Compute the Greeks (Delta, Gamma, Theta, Rho, Vega), for t = 0.5 and S(0.5) = $ 400, for the European put of iii).

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Consider a Black - Scholes model, where the risk - free
rate is r = 0.03, the volatility is σ = 0.1, and S(0) = $350 i
) Find the price of a European call with strike price K = $
300 and expiration T = 1. ii) Compute the Greeks (
Delta, Gamma, Theta, Rho, Vega), for t = : 0.5 and
S(0.5) = $400, for the European call of i). iii) Find the
price of a European put with strike price K = $320 and
expiration T = 1. iv) Compute the Greeks (Delta,
Gamma, Theta, Rho, Vega), for t = 0.5 and S(0.5) = $
400, for the European put of iii).
Transcribed Image Text:Consider a Black - Scholes model, where the risk - free rate is r = 0.03, the volatility is σ = 0.1, and S(0) = $350 i ) Find the price of a European call with strike price K = $ 300 and expiration T = 1. ii) Compute the Greeks ( Delta, Gamma, Theta, Rho, Vega), for t = : 0.5 and S(0.5) = $400, for the European call of i). iii) Find the price of a European put with strike price K = $320 and expiration T = 1. iv) Compute the Greeks (Delta, Gamma, Theta, Rho, Vega), for t = 0.5 and S(0.5) = $ 400, for the European put of iii).
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