dX = μdt + σdW

σ = √Σ(x - μ)²/n

P(X) = e^(-λt)

σₜ = √(αr²ₜ₋₁ + βσ²ₜ₋₁)

dS/S = rdt

ω = Σwᵢrᵢ

π = e^(rT)

δ = ∂V/∂S

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Design a portfolio backtester with walk-forward analysis