Explain Black–Scholes model
Explain Black–Scholes model.
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The Black-Scholes model is depends on geometric Brownian motion for asset price S as
dS = µSdt + σSdX.
The Black-Scholes partial differential equation for value V of an alternative is then
∂V/∂t + ½ σ2S2 (∂2V/∂S2) + rS (∂V/∂S) - rV = 0
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Explain lognormal stochastic differential equation for evolution of an asset.
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integral e^(-t)*e^(tz) t between 0 and infinity for Re(z)<1
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