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 4 · Rules, costs and data›Topic 4.4·~1 hrIntermediate

Capstone: a trading day from price bars

Skill positionModule 4 of 4 · Topic 4 of 4
4.4 Capstone: a trading day from price bars
—Lab score— / 100Total XP—Streak—

Reading a day from price bars

A daily bar sums up a whole session in five numbers: open, high, low, close and volume. From them you can rebuild the story of a day: how far the price moved overnight (the gap between yesterday's close and today's open), how wide the session's range was, and whether the volume was unusual. Each of these is a one-line calculation on whole columns of a table.

import pandas as pd

bars = pd.read_csv("data/AAPL.csv", index_col="date", parse_dates=True)
prev_close = bars["close"].shift(1)   # yesterday's close, lined up with today's row
gap = bars["open"] / prev_close - 1   # the overnight gap

When you ask whether today's volume is unusual, compare it only with the sessions before today. rolling(20).mean() on its own includes today, so the day is partly compared with itself; calling shift(1) first moves the window back by one day. Using information from the day you are judging is look-ahead, the most common way for a backtest to fool you.

Showing the story

The qc_chart helper turns bars into an interactive chart. Pass it lists of series (candles, lines, histograms) and optional markers; the chart appears in the Charts tab, and the tests read the same data you passed, not the picture.

import qc_chart

qc_chart.show(
    [qc_chart.candles(recent, name="Price"), qc_chart.line(average, name="20-day average")],
    markers=qc_chart.markers({"2026-05-12": "+4.1%"}),
)
What this data hidesThe prices are adjusted for splits and dividends, so there is no raw close and a split never shows up as a gap. The file only holds companies that still exist, so delisted ones are missing, and daily bars hide what happened inside the session, including the opening and closing auctions. A big gap is a story to investigate (earnings, news), not a conclusion.

Lab · what's graded

  • Daily features25 pts
  • The biggest gaps25 pts
  • Volume spikes without look-ahead25 pts
  • Chart the story25 pts
Explorer · lab-ms-11
▾ lab-ms-11
▾ data
…
bash · in-browser
learner@quantcraft:~/lab-ms-11$
Python not loaded yetPythonLn 1, Col 1Spaces: 4UTF-8

Reset this topic?

Everything in lab-ms-11 goes back to the starter files and the terminal is cleared. Your current solution will be lost — this can't be undone.

Will be reset
  • main.py → starter code
  • Terminal history and test output
  • Unsubmitted changes
Will be kept
  • Best lab score
  • Your XP and streak
  • Lecture progress and notes

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