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Quantitative Finance · Glosarium

Apa itu Merton jump-diffusion model?

Definition 13.2 Derivatives and Volatility · Bab 13 — Jumps and Lévy Models

The Merton jump-diffusion model is the jump-diffusion with normal log-jumps, J∼N(μJ,δ2)J\sim\mathcal N(\mu_J,\delta^2), so ϕJ(u)=eiuμJ−12δ2u2\phi_J(u)=e^{iu\mu_J-\frac12\delta^2u^2} and kˉ=eμJ+12δ2−1\bar k=e^{\mu_J+\frac12\delta^2}-1. Its parameters are (σ,λ,μJ,δ)(\sigma,\lambda,\mu_J,\delta).

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