hard · Quantitative Finance microstructure-arb

In Kyle's (1985) single-period model, the market maker sets price p = p_0 + λ(x+u), where x is the informed trader's order and usim N(0,σ_u^2) is noise-trader order flow. The asset's true value is vsim N(p_0,σ_v^2) with σ_v=5 and σ_u=2.5 (same price units). In the unique linear Bayesian-Nash equilibrium, the informed trader submits x^ast=β(v-p_0) with β=σ_u/σ_v, and the market maker sets λ=σ_v/(2σ_u).

What is the equilibrium price-impact coefficient λ?

  1. 2.00
  2. 0.25
  3. 1.00
  4. 0.50

Sign up free to see the explanation and track your rank →

More Quantitative Finance microstructure-arb practice

KomFi: Test Prep Made Easy

KomFi: Test Prep Made Easy — free adaptive practice for GMAT, GRE, SAT, ACT, National Real Estate Exam, Investment Banking, and finance with full explanations.

KomFi Academy is free GMAT prep and personalized GMAT help built as a training platform: 92,240+ practice questions, 30,500+ flashcards, on-demand video lectures, podcasts, and 4K slide decks. Flagship tracks: Free GMAT Prep, Free GMAT Resources, National Real Estate Exam Prep, Investment Banking Prep, Finance Prep, GRE, SAT, ACT, LSAT, MCAT, Financial Accounting, Private Equity, Private Credit, and Quantitative Finance.

Free GMAT Prep & Personalized GMAT Help

What's inside

Topics

View pricing · Read testimonials