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लुकअहेड पक्षपात के बिना FRED मैक्रो डेटा का विश्लेषण

कोड Machine Learning for Trading

सारांश

यह नोटबुक Federal Reserve Economic Data श्रृंखलाओं से बने आर्थिक डेटा पैनल का विश्लेषण करती है। यह स्पष्ट करती है कि उपलब्ध पैनल में सप्ताहांत और छुट्टियों समेत कैलेंडर तिथियाँ हैं और साथ का मेटाडेटा हर श्रृंखला का अर्थ, स्रोत की आवृत्ति और कोई व्युत्पन्न सूत्र बताता है। चूँकि मान एक साझा ग्रिड पर आगे भर दिए गए हैं, पंक्तियाँ गिनने से श्रृंखला की वास्तविक जारी होने की आवृत्ति नहीं मिल सकती; मानों में बदलाव गिनना एक उपयोगी न्यूनतम सीमा देता है, हालाँकि बार-बार गोल किए गए प्रकाशन कुछ अवलोकन छिपा सकते हैं।

उदाहरण ट्रेज़री यील्ड, उनका वक्र अंतर और VIX देखते हैं तथा इन मापों को ब्याज-दर अपेक्षाओं और विकल्प-निहित अस्थिरता से जोड़ते हैं। डेटा सँभालने की मुख्य सीख है कि हर ऐतिहासिक तारीख पर केवल उपलब्ध जानकारी इस्तेमाल करें: आगे भरना कारणगत हो सकता है, जबकि भविष्य के अवलोकनों का उपयोग करने वाली इंटरपोलेशन और पीछे देखने वाली विधियाँ जानकारी का रिसाव कर सकती हैं। आगे भरना अकेले प्रकाशन में देरी का हिसाब नहीं रखता, इसलिए बैकटेस्ट से पहले जारी होने की देरी लागू करनी होगी। नोटबुक व्युत्पन्न कॉलमों को घोषित सूत्रों से जाँचने की सलाह भी देती है और बताती है कि कैलेंडर-दिन की पंक्तियों में गैर-ट्रेडिंग दिन शामिल हैं।

मुख्य विचार

  • पंक्तियों से आँकड़े निकालने से पहले मैक्रो पैनल की तारीख़ ग्रिड तय करें।
  • हर आर्थिक श्रृंखला, उसकी मूल प्रकाशन आवृत्ति और व्युत्पत्ति जानने के लिए मेटाडेटा इस्तेमाल करें।
  • आगे भरने के बाद मानों के बदलाव जारी होने की आवृत्ति का अनुमान दे सकते हैं, लेकिन दोहराए गए मानों के कारण गिनती न्यूनतम सीमा होती है।
  • आगे भरना पुराने अवलोकन इस्तेमाल करता है, पर लुकअहेड से बचने के लिए अलग जारीकरण-विलंब समायोजन फिर भी आवश्यक हो सकता है।
  • व्युत्पन्न मैक्रो विशेषताओं को उनके घोषित सूत्रों से जाँचें और सप्ताहांत तथा छुट्टियों का हिसाब रखें।

टैग

पूरा पाठ
# 06_fred_macro_eda.py


```py
# ---
# jupyter:
#   jupytext:
#     cell_metadata_filter: tags,-all
#     text_representation:
#       extension: .py
#       format_name: percent
#       format_version: '1.3'
#       jupytext_version: 1.19.3
#   kernelspec:
#     display_name: Python 3 (ipykernel)
#     language: python
#     name: python3
# ---

# %% [markdown]
# # Macro Data Loading: FRED Economic Series
#
# **Chapter 4: Fundamental and Alternative Data**
# **Docker image**: `ml4t`
# **Section Reference**: Section 4.3 (Fundamentals Across the Asset-Class Spectrum)
#
# ## Purpose
#
# The Federal Reserve Bank of St. Louis publishes several hundred thousand economic time series
# through a service called FRED, free and without registration for bulk snapshots. A handful of
# them describe the conditions every strategy in this book operates under: what money costs,
# what the market pays for insurance against a fall, how many people are working.
#
# The engineering problem is that these series are released on different clocks. Treasury yields
# publish every business day, jobless claims every Thursday, the unemployment rate on one Friday
# a month, GDP once a quarter and then revised twice. A model that consumes them daily has to
# decide what a monthly series is worth on the twenty days between its releases, and getting
# that decision wrong is the most common way macro features leak the future.
#
# This notebook reads the panel the book ships, establishes what is actually in it, and shows
# how to recover each series' release cadence from a file that has already flattened them onto
# one grid.
#
# ## Learning Objectives
#
# After completing this notebook, you will be able to:
#
# - Load the shipped macro panel and say what date grid its rows sit on.
# - Read the metadata table that names each series, describes it, and states how often its
#   source publishes it.
# - Recover a series' true release cadence by counting how often its value changes, rather than
#   trusting a row count that a forward fill has already made uniform.
# - Chart a yield curve, a volatility index and a curve spread, and mark the policy events that
#   moved them.
# - Check a derived column against the formula its metadata declares.
# - Say why carrying the last released value forward is the only fill that is safe for a
#   backtest, and what it costs.
#
# ## Prerequisites
#
# The panel ships with the book as a parquet file and needs no API key. `load_macro` raises
# `DataNotFoundError` naming the download command if it is missing.
#
# ## Cross-References
#
# - **Upstream**: `macro/fred_macro.parquet` under `DATA_DIR`
# - **Downstream**: [`07_macro_data_alignment`](07_macro_data_alignment.ipynb) (aligning these
#   series to a trading calendar with release lags)
# - **Related**: `08_financial_features/04_fundamentals_macro_calendar.py` (macro regime features)

# %%
"""Macro Data Loading: FRED Economic Series - load and explore macroeconomic time series from FRED."""

import statistics

import plotly.express as px
import plotly.graph_objects as go
import polars as pl
from plotly.subplots import make_subplots

from data import load_macro, load_macro_metadata
from utils.style import COLORS, show_plotly_with_alt

# %% [markdown]
# Every chart below the first covers a recent window rather than the whole history, because the
# events worth annotating are recent and a twenty-six year axis hides them. The window opens at
# the start of 2020 so that the COVID shock, the tightening cycle that followed it and the
# subsequent easing are all inside one frame.

# %% tags=["parameters"]
RECENT_START = "2020-01-01"  # left edge of every windowed chart below

# %% [markdown]
# ## 1. The panel and its grid
#
# The first thing to establish about any panel is what one row means. Here a row is a calendar
# date, including weekends and holidays, which is a choice the shipped file makes rather than
# something FRED does: markets are shut on those days and no series is published.

# %%
macro = load_macro().sort("timestamp")

first_date, last_date = macro["timestamp"].min(), macro["timestamp"].max()
print(f"Rows: {len(macro):,}")
print(f"Columns: {len(macro.columns) - 1} series")
print(f"Span: {first_date} to {last_date}")
print(f"Calendar days in that span: {(last_date - first_date).days + 1:,}")

# %% [markdown]
# Row count equal to calendar days is what says the grid is every date rather than every trading
# session. That matters twice over: a weekend row carries Friday's value rather than a new
# observation, and any statistic computed per row, a daily return for instance, will count two
# zero-change days a week that were never trading days at all.

# %% [markdown]
# ## 2. What each series is
#
# The panel ships with a metadata table, and reading it is cheaper than guessing what a lowercase
# eight-character column name refers to. `native_frequency` is how often the source publishes;
# `kind` separates a series FRED publishes from one this repository computes; `formula` gives the
# arithmetic where there is any.

# %%
meta = load_macro_metadata()
meta.select("series", "description", "native_frequency", "kind", "formula")

# %% [markdown]
# Grouping the metadata by how often each series is published separates the panel into its
# release clocks and the derived columns. That grouping is the whole difficulty of macro data in
# one table.

# %%
meta.group_by("native_frequency").agg(
    pl.len().alias("n_series"), pl.col("series").sort().alias("series")
).sort("n_series", descending=True)

# %% [markdown]
# ## 3. Treasury yields
#
# A Treasury yield is what the US government pays to borrow for a stated term, quoted as an
# annual percentage. The two-year and the ten-year are the pair most often read together: the
# two-year moves with what the market expects the Federal Reserve to do over the next couple of
# years, while the ten-year carries expectations about growth and inflation far beyond the
# current policy cycle. The distance between them is the subject of Part 5.

# %%
yields = macro.select("timestamp", "dgs2", "dgs10").drop_nulls()
print(f"Observations with both yields: {len(yields):,}")
print(f"Last date in this snapshot: {yields['timestamp'].max()}")
yields.tail(3)

# %% [markdown]
# The chart below is drawn on the recent window rather than the full panel, because the
# tightening cycle is the episode the rest of this notebook refers back to. The annotations mark
# the decisions that bound it, the first and the last increase of the cycle. An annotation has
# nothing to point at once the window opens after its date, so each is placed only where the
# window contains it. The cell after the figure prints each yield on those two days, and says so
# where the window excludes one, so a missing annotation has its explanation beside it.

# %%
yields_recent = yields.filter(pl.col("timestamp") >= pl.lit(RECENT_START).str.to_date())
yields_pd = yields_recent.to_pandas()

fig = go.Figure()
for column, label, color in [
    ("dgs2", "2-year Treasury", COLORS["copper"]),
    ("dgs10", "10-year Treasury", COLORS["blue"]),
]:
    fig.add_trace(
        go.Scatter(
            x=yields_pd["timestamp"],
            y=yields_pd[column],
            mode="lines",
            name=label,
            line=dict(color=color, width=1.5),
        )
    )
for date, label in [
    ("2022-03-16", "First increase of the cycle"),
    ("2023-07-26", "Last increase of the cycle"),
]:
    # An event outside the window this chart opens on has nothing to point at.
    at_date = yields_pd.loc[yields_pd["timestamp"].astype(str) == date, "dgs2"]
    if at_date.empty:
        continue
    fig.add_annotation(
        x=date,
        y=float(at_date.iloc[0]),
        text=label,
        showarrow=True,
        arrowhead=2,
        ax=30,
        ay=-40,
    )
fig.update_layout(
    title="Two- and ten-year Treasury yields, with the tightening cycle marked",
    xaxis_title="Date",
    yaxis_title="Yield (% per year)",
    height=400,
    legend=dict(orientation="h", yanchor="bottom", y=1.02, xanchor="center", x=0.5),
)
show_plotly_with_alt(
    fig,
    "Line chart of the two-year and ten-year Treasury yields over the recent window, in percent "
    "per year, against a shared date axis. The first and last policy increases of the tightening "
    "cycle are annotated where the window contains them.",
)

# %%
# A date the window excludes is reported, not skipped in silence.
for _label, _at in (("first increase", "2022-03-16"), ("last increase", "2023-07-26")):
    _row = yields_recent.filter(pl.col("timestamp") == pl.lit(_at).str.to_date())
    if len(_row):
        print(
            f"{_label:<16} {_at}   2-year {_row['dgs2'][0]:.2f}%   10-year {_row['dgs10'][0]:.2f}%"
        )
    else:
        print(f"{_label:<16} {_at}   outside the plotted window, so it carries no annotation")

# %% [markdown]
# Where the window contains both dates, the rows printed above are each yield on the day the
# cycle began and the day it ended. They are worth reading as a pair because the two legs need
# not move together: the policy rate is the thing being set, the two-year tracks expectations
# about it over a horizon short enough for those expectations to dominate, and the ten-year
# carries much more besides. Part 5 makes the distance between them its subject. Where a row
# reports its date as excluded instead, the window opens after that end of the cycle and there
# is no pair; widen it by moving `RECENT_START` back.

# %% [markdown]
# ## 4. The VIX
#
# The VIX is the volatility the S&P 500 option market is pricing for the next thirty days,
# quoted as an annualized percentage. It is not a forecast anyone made; it is what has to be
# assumed about future volatility for the observed option prices to be fair. It rises when
# demand for protection rises, which is why it is read as a measure of how frightened the market
# is rather than of how volatile it has been.

# %% [markdown]
# The levels below are the ones the market conventionally reads as boundaries between a calm
# regime, an unsettled one and a frightened one. They are declared once: the figure draws them,
# each label formats its own number from the level it marks, and the counts printed after the
# figure are taken at the same two levels, so nothing here can disagree with anything else.

# %%
VIX_BANDS = [
    (20, "Unsettled", COLORS["neutral"]),
    (30, "Frightened", COLORS["slate"]),
]

vix = macro.select("timestamp", "vixcls").drop_nulls()
print(f"Observations: {len(vix):,}")
print(f"Mean over the full history: {vix['vixcls'].mean():.1f}")
print(f"Highest value in the history: {vix['vixcls'].max():.1f}")
print(f"Date it was reached: {vix.filter(pl.col('vixcls') == vix['vixcls'].max())['timestamp'][0]}")

# %% [markdown]
# The two reference lines mark the levels the market conventionally treats as the boundary
# between a calm regime, an unsettled one and a frightened one. They are conventions rather than
# thresholds anything is computed from, and the reason to draw them is that "calm" and
# "frightened" are otherwise opinions about a line.

# %%
vix_recent = vix.filter(pl.col("timestamp") >= pl.lit(RECENT_START).str.to_date())
vix_pd = vix_recent.to_pandas()

fig = go.Figure()
fig.add_trace(
    go.Scatter(
        x=vix_pd["timestamp"],
        y=vix_pd["vixcls"],
        mode="lines",
        name="VIX",
        line=dict(color=COLORS["amber"], width=1.5),
        fill="tozeroy",
        fillcolor="rgba(212, 168, 75, 0.15)",  # translucent COLORS["amber"]
    )
)
for level, reading, color in VIX_BANDS:
    # The number is formatted from the level itself, so a changed threshold cannot leave the
    # label announcing the old one.
    label = f"{reading} above {level:g}"
    fig.add_hline(
        y=level,
        line_dash="dash",
        line_color=color,
        annotation_text=label,
        annotation_position="right",
    )
for date, label in [
    ("2020-03-16", "COVID crash"),
    ("2023-03-13", "Silicon Valley Bank fails"),
]:
    at_date = vix_pd.loc[vix_pd["timestamp"].astype(str) == date, "vixcls"]
    if at_date.empty:
        continue
    fig.add_annotation(
        x=date, y=float(at_date.iloc[0]), text=label, showarrow=True, arrowhead=2, ax=0, ay=-30
    )
fig.update_layout(
    title="VIX with conventional bands and annotated market episodes",
    xaxis_title="Date",
    yaxis_title="VIX (annualized % volatility)",
    height=400,
    showlegend=False,
    margin=dict(r=140),
)
show_plotly_with_alt(
    fig,
    "Filled line chart of the VIX over the recent window, in annualized percent volatility, "
    "with dashed horizontal rules at the conventional band levels. Named market episodes are "
    "annotated where the window contains their dates.",
)

# %% [markdown]
# The usual summary of this series is that it spends most of its life below the lower band and
# only days at a time above the upper one. Both halves are countable against those same two
# levels, over the plotted window and over the full history, so the cell below counts them.

# %%
_below, _above = VIX_BANDS[0][0], VIX_BANDS[1][0]


def spells_above(values: list[float], level: float) -> list[int]:
    """Lengths of the consecutive runs in *values* that sit above *level*.

    Counted in rows, and a row of this panel is a calendar day: the weekends and holidays the
    VIX is not published on are forward-filled rather than absent, so a run of `n` rows is `n`
    calendar days and fewer trading sessions. Which rows are fills cannot be recovered from the
    panel, because a session that closes at the previous day's level looks the same.
    """
    runs, run = [], 0
    for x in values:
        if x > level:
            run += 1
        else:
            if run:
                runs.append(run)
            run = 0
    return runs + ([run] if run else [])


for _label, _frame in (("full history", vix), ("plotted window", vix_recent)):
    _v = _frame["vixcls"]
    _runs = spells_above(_v.to_list(), _above)
    _spells = (
        f"spells above {_above:g}: none"
        if not _runs
        else (
            f"spells above {_above:g}: {len(_runs)}, "
            f"median {statistics.median(_runs):g}, longest {max(_runs)} calendar days"
        )
    )
    print(
        f"{_label:<15} below {_below:g}: {(_v < _below).mean():>6.1%}   "
        f"above {_above:g}: {(_v > _above).mean():>6.1%}   {_spells}"
    )

# %% [markdown]
# The spell lengths are in calendar days, because that is what a row of this panel is. "The panel
# and its grid" above established that; this is the first place it changes a number, and it would
# change any other window stated in rows the same way.

# %% [markdown]
# Read the median and the longest spell together rather than either alone. A median describes the
# typical episode and says nothing about the worst one, which is the episode a risk model exists
# for. The two rows give both statistics over the full history and over the plotted window, so
# comparing them is what says whether the chart contains the tail: where the window's longest
# spell is the shorter of the two, the worst episode in the record falls outside the figure, and
# no amount of looking at the figure will tell the reader that.

# %% [markdown]
# ## 5. The yield curve spread, and checking a derived column
#
# Subtract the two-year yield from the ten-year and you have the slope of the curve. It is
# normally positive, because lending for longer usually earns more. When it goes negative the
# curve is **inverted**: the market is paying more to lend for two years than for ten, which
# happens when it expects the policy rate to be cut substantially before the ten years are up.
# Every US recession since 1970 has been preceded by an inversion, which is why the spread is
# watched even though the lead time between the two has ranged from months to years.
#
# The panel carries this quantity twice. `t10y2y` is FRED's own published spread series, and
# `YIELD_CURVE_SLOPE` is computed in this repository from the formula its metadata declares.
# Two columns for one quantity is worth a check rather than a comment, because a derived column
# whose formula has drifted from its description is invisible until something built on it is
# wrong.

# %%
declared_formula = meta.filter(pl.col("series") == "YIELD_CURVE_SLOPE")["formula"][0]
print(f"YIELD_CURVE_SLOPE is declared as: {declared_formula}")

agreement = macro.select(
    (pl.col("t10y2y") - (pl.col("dgs10") - pl.col("dgs2"))).abs().alias("gap_to_recomputed"),
    (pl.col("t10y2y") - pl.col("YIELD_CURVE_SLOPE")).abs().alias("gap_to_derived_column"),
).drop_nulls()
print(
    f"Largest gap between FRED's spread and 10Y minus 2Y: {agreement['gap_to_recomputed'].max():.2e}"
)
print(
    f"Largest gap between FRED's spread and the derived column: {agreement['gap_to_derived_column'].max():.2e}"
)

# %% [markdown]
# The gaps printed above are the check: a difference at the limit of floating-point precision
# means the two columns are the same quantity and either may be used. Where they disagree, the
# recomputation from `dgs10` and `dgs2` is the one to trust, because it is the one whose inputs
# are in the panel and can be inspected.

# %%
spread = macro.select("timestamp", "t10y2y").drop_nulls()
inverted_days = spread.filter(pl.col("t10y2y") < 0).height
print(f"Days in the full history with an inverted curve: {inverted_days:,} of {len(spread):,}")
print(f"Share of the history inverted: {inverted_days / len(spread):.1%}")

# %%
spread_recent = spread.filter(pl.col("timestamp") >= pl.lit(RECENT_START).str.to_date())
spread_pd = spread_recent.to_pandas()
inverted = spread_pd[spread_pd["t10y2y"] < 0]

fig = go.Figure()
fig.add_trace(
    go.Scatter(
        x=spread_pd["timestamp"],
        y=spread_pd["t10y2y"],
        mode="lines",
        name="10-year minus 2-year",
        line=dict(color=COLORS["blue"], width=1.5),
    )
)
if len(inverted) > 0:
    fig.add_trace(
        go.Scatter(
            x=inverted["timestamp"],
            y=inverted["t10y2y"],
            mode="none",
            fill="tozeroy",
            fillcolor="rgba(200, 117, 51, 0.3)",  # translucent COLORS["copper"]
            name="Inverted",
        )
    )
fig.add_hline(y=0, line_color=COLORS["negative"], line_width=2)
fig.update_layout(
    title="Ten-year minus two-year spread, with inversions shaded",
    xaxis_title="Date",
    yaxis_title="Spread (percentage points)",
    height=400,
    legend=dict(orientation="h", yanchor="bottom", y=1.02, xanchor="center", x=0.5),
)
show_plotly_with_alt(
    fig,
    "Line chart of the ten-year minus two-year Treasury spread over the recent window, in "
    "percentage points, with a zero line and the region below it shaded.",
)

# %% [markdown]
# ## 6. Mixed frequencies, and why the row counts do not show them
#
# Counting non-null rows is the obvious way to ask how often a series is published, and on this
# panel it gives the wrong answer for every series. The monthly unemployment rate has a value on
# every one of the panel's calendar days, and so does quarterly GDP: the file was built by
# carrying each series' last released value forward onto the daily grid, so the nulls that would
# have revealed the cadence are already gone.
#
# What the fill leaves intact is how often the value *changes*. A monthly series carried forward
# holds one value for a month at a time whatever grid it sits on, so counting the changes
# recovers the release clock. It recovers a lower bound on it, strictly: two consecutive releases
# that print the same number look like one, which matters for a coarsely rounded series and not
# for a price.

# %%
cadence = pl.DataFrame(
    {
        "series": [c for c in macro.columns if c != "timestamp"],
        "rows_with_a_value": [
            int(macro[c].is_not_null().sum()) for c in macro.columns if c != "timestamp"
        ],
        "value_changes": [
            int((macro[c] != macro[c].shift(1)).sum()) for c in macro.columns if c != "timestamp"
        ],
    }
).join(meta.select(pl.col("series"), "native_frequency", "description"), on="series", how="left")

years = (last_date - first_date).days / 365.25
cadence = cadence.with_columns(changes_per_year=(pl.col("value_changes") / years).round(1)).sort(
    "changes_per_year", descending=True
)
cadence.select("series", "description", "native_frequency", "rows_with_a_value", "changes_per_year")

# %%
fig = px.bar(
    cadence.drop_nulls("native_frequency").to_pandas(),
    x="changes_per_year",
    y="series",
    color="native_frequency",
    orientation="h",
    hover_name="description",
    title="How often each series changes value per year, by publication frequency",
    labels={
        "changes_per_year": "Times the value changes per year (a lower bound on releases)",
        "series": "",
        "native_frequency": "Published",
    },
    log_x=True,
)
fig.update_layout(
    height=620,
    yaxis=dict(categoryorder="total ascending"),
    margin=dict(l=150),  # `YIELD_CURVE_SLOPE` and `YIELD_CURVE_5_10` clip against the default
)
show_plotly_with_alt(
    fig,
    "Horizontal bar chart, on a logarithmic axis, of how often each series in the panel changes "
    "value per year, one bar per series, coloured by the publication frequency recorded in the "
    "FRED metadata.",
)

# %% [markdown]
# The bars recover each series' publication frequency from the panel alone, without being told
# it: the colour is the frequency the FRED metadata records, and it is not an input to the count.
# A row count over the same panel makes every series look daily.
#
# The unemployment rate is the case where the lower bound bites, and it is worth seeing rather
# than taking on trust. It is published monthly and rounded to a tenth of a percentage point, so
# across a year of releases the printed value repeats often enough that the change count comes in
# under the release count. The cell below counts both for one year.
#
# ### Why forward fill, and what it costs
#
# The test a fill has to pass is not which method it uses; it is which observations the value on
# a date was computed from. Carrying the last released value forward passes because it reads
# only what was already out. So does any trailing calculation on released values - an average of
# the last three releases, an exponentially weighted mean, a forecast fitted on history alone.
#
# What fails is anything that reaches forward. Interpolating between two monthly readings puts a
# value on the tenth of the month computed partly from the reading published on the thirtieth.
# A backward fill does it outright. A centred moving average takes half its window from the
# future, and a seasonal adjustment estimated over the whole sample takes its factors from
# every year in it, including the ones after the date being adjusted.
#
# What forward fill costs is that the panel says nothing about *when* the value it carries became
# known. The unemployment rate for March is published in early April, so a row dated 15 March
# carrying March's rate is showing a number nobody had. That gap is a release lag, and closing it
# is the subject of [`07_macro_data_alignment`](07_macro_data_alignment.ipynb).

# %%
unrate_2024 = macro.select("timestamp", "unrate").filter(pl.col("timestamp").dt.year() == 2024)
by_month = (
    unrate_2024.group_by(pl.col("timestamp").dt.month().alias("month"))
    .agg(
        pl.col("timestamp").min().alias("first_day"),
        pl.col("unrate").n_unique().alias("distinct_values_in_month"),
        pl.col("unrate").first().alias("rate"),
    )
    .sort("month")
)
changes = int((unrate_2024["unrate"] != unrate_2024["unrate"].shift(1)).sum())
print(f"Rows in 2024: {len(unrate_2024)}")
print(f"Months, and so releases, in 2024: {len(by_month)}")
print(f"Days on which the printed rate changed: {changes}")
by_month

# %% [markdown]
# ## 7. Three series together
#
# Each of the three charts above is drawn from one market in isolation. Putting them on a shared
# date axis is what lets the same stretch of time be read across all three at once, which is the
# construction the rest of the book uses whenever a rates move, a curve move and a volatility
# move have to be attributed to the same event rather than to three coincidences.

# %%
recent = macro.filter(pl.col("timestamp") >= pl.lit(RECENT_START).str.to_date()).to_pandas()

fig = make_subplots(
    rows=3,
    cols=1,
    shared_xaxes=True,
    subplot_titles=(
        "Treasury yields",
        "Curve spread, 10-year minus 2-year",
        "VIX",
    ),
    vertical_spacing=0.08,
)
fig.add_trace(
    go.Scatter(
        x=recent["timestamp"],
        y=recent["dgs2"],
        mode="lines",
        name="2-year",
        line=dict(color=COLORS["copper"]),
    ),
    row=1,
    col=1,
)
fig.add_trace(
    go.Scatter(
        x=recent["timestamp"],
        y=recent["dgs10"],
        mode="lines",
        name="10-year",
        line=dict(color=COLORS["blue"]),
    ),
    row=1,
    col=1,
)
fig.add_trace(
    go.Scatter(
        x=recent["timestamp"],
        y=recent["t10y2y"],
        mode="lines",
        name="10-year minus 2-year",
        line=dict(color=COLORS["blue"]),
        fill="tozeroy",
        fillcolor="rgba(26, 45, 74, 0.12)",  # translucent COLORS["slate"]
    ),
    row=2,
    col=1,
)
fig.add_hline(y=0, line_dash="dash", line_color=COLORS["negative"], row=2, col=1)
fig.add_trace(
    go.Scatter(
        x=recent["timestamp"],
        y=recent["vixcls"],
        mode="lines",
        name="VIX",
        line=dict(color=COLORS["amber"]),
        fill="tozeroy",
        fillcolor="rgba(212, 168, 75, 0.15)",  # translucent COLORS["amber"]
    ),
    row=3,
    col=1,
)
fig.add_hline(y=20, line_dash="dash", line_color=COLORS["neutral"], row=3, col=1)
fig.update_yaxes(title_text="% per year", row=1, col=1)
fig.update_yaxes(title_text="Percentage points", row=2, col=1)
fig.update_yaxes(title_text="Index", row=3, col=1)
fig.update_layout(
    height=650,
    title_text="Yields, curve spread and volatility on one time axis",
    legend=dict(orientation="h", yanchor="bottom", y=1.06, xanchor="center", x=0.5),
    # The legend sits above the plotting area, between the figure title and the first subplot
    # title, and the three crowd each other at the default top margin.
    margin=dict(t=130),
)
show_plotly_with_alt(
    fig,
    "Three stacked panels sharing one date axis over the recent window: the two- and ten-year "
    "Treasury yields in percent per year, the ten-year minus two-year spread in percentage "
    "points with a dashed zero line, and the VIX in annualized percent volatility with a dashed "
    "rule at the lower band level.",
)

# %% [markdown]
# ## Key Takeaways
#
# 1. Establish what one row of a panel means before computing anything from it. This one is on a
#    calendar-day grid, weekends included, which is not the grid any of its sources publishes on.
# 2. A row count does not tell you how often a series is published once the panel has been
#    forward-filled. Counting how often the value changes recovers a lower bound on each source's
#    release clock, which is enough to sort daily from weekly from monthly, and is short of the
#    true count wherever consecutive releases print the same rounded number.
# 3. What makes a fill safe is that the value on a date was computed only from observations
#    already released by that date. Forward fill qualifies, and so does any trailing average or
#    causal forecast. Interpolation, backward fill, a centred window and a whole-sample seasonal
#    adjustment all reach forward, and none of them will announce that they did.
# 4. Forward fill still leaves the release lag unhandled: the value it carries on a given date is
#    often one the market had not yet been told. That is a separate correction and it is where
#    the next notebook starts.
# 5. Where a panel carries a quantity twice, once as published and once as derived, check the
#    derived column against the formula its metadata declares rather than trusting the name.
#
# ## Optional: keeping the panel current
#
# The shipped parquet is a snapshot and is sufficient for every notebook in this book. For a
# live pipeline, `ml4t-data` wraps the FRED API: `MacroDataManager` downloads and reloads the
# Treasury curve and derives the curve slope and a regime label from it, and `FREDProvider`
# fetches any series by its FRED identifier. Both need a free API key from
# [fred.stlouisfed.org](https://fred.stlouisfed.org/docs/api/api_key.html).
#
# ```python
# from ml4t.data.macro import MacroDataManager
# from ml4t.data.providers.fred import FREDProvider
#
# manager = MacroDataManager()
# manager.download_treasury_yields()   # fetch the curve
# manager.get_yield_curve_slope()      # 10-year minus 2-year
# manager.get_regime()                 # the regime label derived from the slope
#
# provider = FREDProvider()
# provider.fetch_ohlcv("UMCSENT", start="2020-01-01")   # consumer sentiment
# ```

```

स्रोत के लाइसेंस के तहत श्रेय सहित पूरा पाठ दिखाया गया है। लाइसेंस: MIT

यह सारांश मूल स्रोत के आधार पर Stratmill के शोध एजेंट ने लिखा है; यह स्रोत की प्रति नहीं है।