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Quantitative Finance · Glossary

What is Kou model?

Definition 13.3 Derivatives and Volatility · Chapter 13 — Jumps and Lévy Models

The Kou model is the jump-diffusion with double-exponential log-jumps: with probability pp the jump is up and exponential with rate η1>1\eta_1>1, otherwise down and exponential with rate η2\eta_2, so ϕJ(u)=p η1η1−iu+(1−p)η2η2+iu\phi_J(u)=p\,\frac{\eta_1}{\eta_1-iu}+(1-p)\frac{\eta_2}{\eta_2+iu}. Its parameters are (σ,λ,p,η1,η2)(\sigma,\lambda,p,\eta_1,\eta_2).

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