σμimplied vol · KKmax(S−K,0)udβρᵢⱼfat tailsPnL · drawdownyield · TdSₜ = μSₜ dt + σSₜ dWₜC = S·N(d₁) − K·e⁻ʳᵀ·N(d₂)σₚ² = wᵀΣwd₁ = [ln(S/K) + (r + σ²⁄2)T] ⁄ σ√T∂V/∂t + ½σ²S²·∂²V/∂S² + rS·∂V/∂S − rV = 0Sharpe = (Rₚ − R_f) ⁄ σₚVaR₉₉ = μ − 2.33σρ = Cov(X,Y) ⁄ σₓσᵧE[Rₚ] = Σ wᵢ·E[Rᵢ]φ(x) = e^(−x²/2) ⁄ √2πE[Rᵢ] = R_f + βᵢ(E[Rₘ] − R_f)dXₜ = θ(μ − Xₜ)dt + σ dWₜσ²ₜ = ω + α·ε²ₜ₋₁ + β·σ²ₜ₋₁C − P = S − K·e⁻ʳᵀΔ = ∂V/∂S Γ = ∂²V/∂S²p = (e^(rΔt) − d) ⁄ (u − d)rₜ = ln(Pₜ ⁄ Pₜ₋₁)E[Xₜ₊₁ | ℱₜ] = Xₜf* = (bp − q) ⁄ bz = (x − μ) ⁄ σP(N=k) = λᵏe^(−λ) ⁄ k!Θ = −∂V/∂Tν = S·φ(d₁)·√Tmin wᵀΣw s.t. wᵀμ = μ*∫Σ∂∞λ
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σμimplied vol · KKmax(S−K,0)udβρᵢⱼfat tailsPnL · drawdownyield · TdSₜ = μSₜ dt + σSₜ dWₜC = S·N(d₁) − K·e⁻ʳᵀ·N(d₂)σₚ² = wᵀΣwd₁ = [ln(S/K) + (r + σ²⁄2)T] ⁄ σ√T∂V/∂t + ½σ²S²·∂²V/∂S² + rS·∂V/∂S − rV = 0Sharpe = (Rₚ − R_f) ⁄ σₚVaR₉₉ = μ − 2.33σρ = Cov(X,Y) ⁄ σₓσᵧE[Rₚ] = Σ wᵢ·E[Rᵢ]φ(x) = e^(−x²/2) ⁄ √2πE[Rᵢ] = R_f + βᵢ(E[Rₘ] − R_f)dXₜ = θ(μ − Xₜ)dt + σ dWₜσ²ₜ = ω + α·ε²ₜ₋₁ + β·σ²ₜ₋₁C − P = S − K·e⁻ʳᵀΔ = ∂V/∂S Γ = ∂²V/∂S²p = (e^(rΔt) − d) ⁄ (u − d)rₜ = ln(Pₜ ⁄ Pₜ₋₁)E[Xₜ₊₁ | ℱₜ] = Xₜf* = (bp − q) ⁄ bz = (x − μ) ⁄ σP(N=k) = λᵏe^(−λ) ⁄ k!Θ = −∂V/∂Tν = S·φ(d₁)·√Tmin wᵀΣw s.t. wᵀμ = μ*∫Σ∂∞λ
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Market Structure skill›Module 1 · Instruments and venues›Topic 1.2·~40 minBeginner

Exchanges and trading venues

Skill positionModule 1 of 4 · Topic 2 of 2
1.2 Exchanges and trading venues
—Lab score— / 100Total XP—Streak—

Where trades happen

A venue is a place where buyers and sellers are matched. In US equities there are more than a dozen registered exchanges (NYSE, Nasdaq and Cboe run several each), plus alternative trading systems and broker-dealers that execute orders themselves. The same stock trades on all of them at once.

Lit exchanges show their orders publicly in a limit order book and match them by price and time. Dark pools (alternative trading systems) do not display orders before a trade, which helps large investors avoid revealing their intentions; trades are reported afterwards. Wholesalers, also called internalisers, execute retail orders against their own inventory, usually at a slightly better price than the public quote.

Bonds, FX and most swaps work differently: they trade over the counter through dealers, who quote prices to clients, and electronic platforms, with no single central order book.

  • Lit exchange: public order book, price-time matching, regulated as an exchange.
  • Dark pool (ATS): no displayed quotes, trades reported afterwards, run by a broker-dealer.
  • Wholesaler (internaliser): fills retail orders from its own inventory, often with price improvement.
  • Dealer market (OTC): dealers quote prices directly to clients, as in bonds and FX.
Why a big order avoids the lit bookA fund wants to buy 500,000 shares of a stock that trades 5,000,000 shares a day on average. That is 500,000 / 5,000,000 = 10% of a normal day's volume. Posting it all on a lit exchange would reveal the demand and push the price up, so the fund splits the order into small pieces over the day and sends part of it to dark pools.
Dark does not mean hidden from regulatorsDark pools are regulated, must register as alternative trading systems and report every trade after it happens. They are only dark before the trade, when other participants cannot see the order.

Lab · what's graded

  • Venue types25 pts
  • Where retail orders go10 pts
  • Who shows public quotes?15 pts
  • Order size against normal volume15 pts
  • Why use a dark pool15 pts
  • Maker-taker pricing20 pts
0/ 6 answered
Tasks
1Match25 ptsNot answered

Match each venue type to its description.

Pick the partner of each item on the left.

Lit exchange
Dark pool (ATS)
Wholesaler
Dealer market
2Choice10 ptsNot answered

A retail broker receives a marketable order from a customer. Where is it most often executed in the US?

3Choice15 ptsNot answered

Select every venue that displays orders publicly before a trade.

4Numeric answer15 ptsNot answered

A fund wants to buy 500,000 shares. The stock trades 5,000,000 shares on an average day (ADV). What percentage of ADV is the order?

share of ADV=\text{share of ADV} =share of ADV=accepted: ± 0.01
5Choice15 ptsNot answered

What is the main reason a large institution sends part of an order to a dark pool?

6Explain in words20 ptsNot answered

In two or three sentences, explain maker-taker pricing: what a maker is paid, what a taker pays, and how it can affect where a trader sends an order.

Math modeKeyboard or LaTeX inputTask 1 of 6 · Ctrl ⏎ to check

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