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 3 · After the trade and who trades›Topic 3.1·~35 minBeginner

Clearing and settlement

Skill positionModule 3 of 4 · Topic 1 of 2
3.1 Clearing and settlement
—Lab score— / 100Total XP—Streak—

From a trade to owning the shares

When a trade executes on an exchange it is only a promise: one side will deliver shares, the other will pay cash. Settlement is the moment the promise is fulfilled and ownership and cash actually change hands. Between execution and settlement comes clearing. In US stocks the trade date is called T, and since 28 May 2024 settlement happens one business day later (T+1); before that it was T+2, and many other markets still use T+2.

Clearing is done by a central counterparty (CCP). Through novation the CCP becomes the buyer to every seller and the seller to every buyer, so participants face the CCP instead of each other. It also nets positions: if you buy and sell the same stock in a day, only the difference has to settle. In US stocks the CCP is NSCC and the depository that moves the shares is DTC; listed options are cleared by the OCC, and futures by the exchange's own clearing house.

Settlement uses delivery versus payment (DVP): shares and cash move at the same moment, so neither side is ever exposed on its own. If a seller cannot deliver, the trade fails, which costs money and can trigger forced buy-ins.

  • Trade date (T): the day the trade executes.
  • Settlement date: when shares and cash actually change hands (T+1 in US stocks).
  • CCP and novation: the clearing house steps between buyer and seller.
  • Netting: offsetting buys and sells so only the difference settles.
  • DVP: delivery versus payment, shares and cash move together.
Counting settlement daysA buy executes on Friday at 14:00, so T is Friday. T+1 is the next business day, which skips the weekend: settlement is Monday. If that Monday is a market holiday, settlement moves to Tuesday.
Cash from a sale is not instantly yoursA backtest that reuses the cash from a sale on the same day silently assumes instant settlement. In reality that cash settles one business day later; margin accounts and brokers often hide the gap, but it matters for funding and for strategies that trade at high turnover.

Lab · what's graded

  • After the trade20 pts
  • Who does what20 pts
  • A Wednesday trade10 pts
  • A Friday trade10 pts
  • Netting20 pts
  • What a CCP does20 pts
0/ 6 answered
Tasks
1Order the steps20 ptsNot answered

Put the steps after an order is submitted in the right order.

Drag to reorder, or focus an item, press Space to lift it, the arrow keys to move it and Space to drop it.

  1. 1The clearing house becomes buyer to every seller and nets the positions
  2. 2The order is matched and the trade executes on the exchange
  3. 3Shares and cash change hands on the settlement date (DVP)
  4. 4The trade is reported and confirmed to the clearing house
2Match20 ptsNot answered

Match each institution or term to its role.

Pick the partner of each item on the left.

NSCC
DTC
OCC
DVP
3Choice10 ptsNot answered

A US stock is bought on Wednesday and no holiday follows. On which day does it settle (T+1)?

4Choice10 ptsNot answered

A US stock is bought on Friday and no holiday follows. On which day does it settle (T+1)?

5Numeric answer20 ptsNot answered

During one day a clearing member buys 1,000 shares of a stock and sells 600 shares of the same stock. How many shares are left to settle (the net buy)?

net shares=\text{net shares} =net shares=accepted: ± 0.5
6Explain in words20 ptsNot answered

In two or three sentences, explain what a central counterparty does and why it makes settlement safer.

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

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