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
uantCraft AcademyRoadmapsSkills
Ctrl K
AO
+1.2k Learners
LoginJoin ↗
RoadmapsSkills
AO
+1.2k Learners
Login
  • English
  • Français
  • Español
  • العربية
  • Português
  • Deutsch
  • 日本語
  • 中文
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
uantCraft AcademyRoadmapsSkills
Ctrl K
AO
+1.2k Learners
LoginJoin ↗
RoadmapsSkills
AO
+1.2k Learners
Login
  • English
  • Français
  • Español
  • العربية
  • Português
  • Deutsch
  • 日本語
  • 中文
Market Structure skill›Module 2 · How trading works›Topic 2.1·~40 minBeginner

The trading day (auctions, halts, sessions)

Skill positionModule 2 of 4 · Topic 1 of 3
2.1 The trading day (auctions, halts, sessions)
—Lab score— / 100Total XP—Streak—

One US trading day

US stock exchanges follow a daily schedule in New York time (Eastern Time, ET). Pre-market trading runs from 4:00 to 9:30. At 9:30 an opening auction sets the first price, then continuous trading runs until 16:00, when a closing auction sets the official closing price. After-hours trading continues until 20:00 with fewer participants and wider spreads.

Two kinds of safety brakes can stop trading. Limit up-limit down (LULD) bands pause a single stock for five minutes if its price stays outside a band around its recent average for more than 15 seconds. Market-wide circuit breakers halt every exchange when the S&P 500 falls 7% (Level 1) or 13% (Level 2) from the previous close; at 20% (Level 3) trading stops for the rest of the day. Individual stocks can also be halted while news is pending.

  • Opening auction (9:30): collects orders and sets the opening price at the price that matches the most shares.
  • Closing auction (16:00): sets the official closing price used by index funds and for end-of-day valuation.
  • LULD pause: five minutes for one stock after the price stays outside its band for 15 seconds.
  • Circuit breakers: market-wide halts at 7%, 13% and 20% declines of the S&P 500.
A circuit breaker levelIf the S&P 500 closed yesterday at 5,000 points, the Level 1 breaker triggers at 5,000 × (1 − 0.07) = 4,650. Level 1 and Level 2 halts last 15 minutes if they happen between 9:30 and 15:25 ET; after 15:25 trading continues unless the 20% Level 3 is reached.
Timestamps and time zones in your dataThe market opens at 9:30 New York time, but the intraday bars in QuantCraft data are stamped in Warsaw time, where the open usually appears as 15:30. Twice a year the US and Europe change their clocks on different dates, so the gap briefly becomes 5 or 7 hours instead of 6. Always convert timestamps before comparing sessions.

Lab · what's graded

  • Phases of the day20 pts
  • Halts and their triggers20 pts
  • When does continuous trading start?10 pts
  • Reasons for a halt15 pts
  • A Level 2 circuit breaker15 pts
  • Why the closing auction matters20 pts
0/ 6 answered
Tasks
1Order the steps20 ptsNot answered

Put the phases of a US trading day in chronological 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. 1Continuous trading
  2. 2After-hours trading
  3. 3Pre-market trading
  4. 4Closing auction
  5. 5Opening auction
2Match20 ptsNot answered

Match each halt to what triggers or defines it.

Pick the partner of each item on the left.

LULD pause
Level 1 circuit breaker
Level 3 circuit breaker
News pending halt
3Choice10 ptsNot answered

At what time (New York) does regular continuous trading on US exchanges begin?

4Choice15 ptsNot answered

Select every event that can stop trading in a US stock.

5Numeric answer15 ptsNot answered

The S&P 500 closed at 5,000 yesterday. At what index level does the Level 2 breaker (a 13% decline) trigger?

Level 2=\text{Level 2} =Level 2=accepted: ± 1
6Explain in words20 ptsNot answered

In two or three sentences, explain why the closing auction is important for investors and for data.

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

Log in to run your code.

Every lecture is free to read. Create an account or log in to run code, run tests and submit this lab.

  • In-browser IDE with a bash terminal — nothing to install
  • Instant grading, XP and your place on the skill
Create an accountLog in
OR
Continue with GitHub