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Quantitative Finance · Glosarium

Apa itu Madhavan–Richardson–Roomans model?

Dikenal juga sebagai: Madhavan--Richardson--Roomans model

Definition 5.7 Microstructure and Execution · Bab 5 — Decomposing the Spread

The Madhavan–Richardson–Roomans model (MRR) lets the efficient price move with the surprise in the order flow and the transaction price bounce around it:

μt=μt−1+θ(xt−E[xt∣xt−1])+ut,pt=μt+ϕ xt+ξt,\mu_t=\mu_{t-1}+\theta\left(x_t-\E[x_t\mid x_{t-1}]\right)+u_t,\qquad p_t=\mu_t+\phi\,x_t+\xi_t,

with xtx_t the trade sign, E[xt∣xt−1]=ρxt−1\E[x_t\mid x_{t-1}]=\rho x_{t-1}, θ\theta the information content of a trade and ϕ\phi the cost that does not depend on information. The implied spread is 2(ϕ+θ)2(\phi+\theta) and the information share θ/(ϕ+θ)\theta/(\phi+\theta).

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