Making Custom Fiscal 52/53 Workweek Calendars in Pandas

How to build custom financial calendars that have 52 or 53 workweeks in a fiscal year (aka the 4-4-5 calendar) using pandas
modeling
Published

February 20, 2022

Last run on pandas 1.1.3

TLDR

Fiscal Calendars Should Be Easy, Right?

Unless your company’s fiscal calendar lines up exactly with the calendar year, you’ll inevitably encounter issues with custom fiscal calendars. Analysts will usually have some lookup table either in a spreadsheet or a friendly database table that they’re trained to query and pull in every time someone asks: ‘how did we perform this quarter compared to last quarter?’

But what about making a lookup table programmatically, or what if you don’t have a tidy lookup table handed to you? For example, let’s say you work in a paper supplier and you have a table of forecasted supply and you need to match that data to demand that each customer sent over in spreadsheets. Now imagine each customer sent you demand according to their fiscal calendar. Welcome to hell!

Building Standard Fiscal Calendars in pandas

So what can you do in basic pandas? Well, if your fiscal calendar is the same as the calendar year, you’re in luck.

pandas has a variety of functions that let you create and manipulate date ranges that conform to a fiscal calendar that begins on January 1st of every year and ends on Dec 31st of every year, and where every quarter is exactly 3 calendar months long.

We can see an example of this built-in functionality if we use pandas to give us an array of the last day in each quarter in 2021 using the freq='Q' parameter:

import datetime
import numpy as np
import pandas as pd

start = datetime.datetime(2021, 1, 1)
end = datetime.datetime(2022, 1, 1)
# Create a DatetimeIndex with freq='Q'
# the 'Q' indicates the last day of each quarter
ts = pd.date_range(start, end, freq='Q')
ts

Which returns an iterable DatetimeIndex object with a few extra parameters:

DatetimeIndex(['2021-03-31', '2021-06-30', '2021-09-30', '2021-12-31'], dtype='datetime64[ns]', freq='Q-DEC')

We can use this index to create a dataframe with columns with various attributes, by converting this stuff to a period object:

tp = ts.to_period()

pd.DataFrame(index=ts,
             data={'quarter':tp.quarter,
                   'fiscal_year':tp.qyear})
quarter fiscal_year
2021-03-31 1 2021
2021-06-30 2 2021
2021-09-30 3 2021
2021-12-31 4 2021

However, what if you wanted to use pandas to handle fiscal calendars that aren’t set to this standard? For example, let’s say we have a fiscal calendar that starts on June 1st (i.e. Nike).

Notice that the previous creation of a pd.date_range with freq='Q' created a DatetimeIndex with a freq of 'Q-DEC'. While there’s a list of ‘frequency or offset aliases’ there isn’t much mention of what 'Q-DEC' is except mentioned briefly in the Pandas user guide:

Many organizations define quarters relative to the month in which their fiscal year starts and ends. Thus, first quarter of 2011 could start in 2010 or a few months into 2011. Via anchored frequencies, pandas works for all quarterly frequencies Q-JAN through Q-DEC.

So in other words, the default quarter system Q-DEC (and A-DEC) means that it ends in December. So if we wanted to have a fiscal calendar that ends in May and starts in June 1st, we’d use Q-MAY:

ts = pd.date_range(start, end, freq='Q-MAY')
tp = ts.to_period()

pd.DataFrame(index=ts, data={'quarter':tp.quarter, 'fiscal_year':tp.qyear})
quarter fiscal_year
2021-02-28 3 2021
2021-05-31 4 2021
2021-08-31 1 2022
2021-11-30 2 2022

So that was easy! And instead of creating the date range with just the end quarters, we can create a daily date range and then use the to_period() call to do the fiscal year translation for us, to create a daily calendar lookup table:

# create a DatetimeIndex with all days between 2021 and 2022
ts = pd.date_range(start='2021', end='2022', freq='D')

# Create a PeriodIndex from the daily range with our new freq
tp = ts.to_period(freq='Q-MAY')
df = pd.DataFrame(index=ts,
                  data={'quarter':tp.quarter,
                        'fiscal_year':tp.qyear})
df.tail()
quarter fiscal_year
2021-12-28 3 2022
2021-12-29 3 2022
2021-12-30 3 2022
2021-12-31 3 2022
2022-01-01 3 2022

We can see that the correct fiscal year and fiscal quarters are represented. Nice!

52/53 Workweek Calendars

What if your fiscal calendar follows a 52/53-workweek calendar using the 4-4-5 quarter system? I want to be able to use pandas methods on those, too!

An exhaustive search in pandas docs comes up with a custom DateOffset class that has the barest minimum in terms of documentation: pd.tseries.offsets.FY5253.

We can use the pd.tseries.offsets.FY5253 DateOffset type to find the dates of the beginning of each fiscal year:

variation = 'last'

# create an offset for the Intel fiscal calendar, which ends on the last Saturday of December
yoffset = pd.tseries.offsets.FY5253(n=1, weekday=5, startingMonth=12, variation=variation)

# use the offset to create a date range with intervals at each fiscal year beginning
yoffset_range = pd.date_range('2020', periods=3, freq=yoffset)
yoffset_range
DatetimeIndex(['2020-12-26', '2021-12-25', '2022-12-31'], dtype='datetime64[ns]', freq='RE-L-DEC-SAT')

Let’s take a look at the above result - we’ve generated a DatetimeIndex with the last day of each fiscal year. In this case, we are telling pandas to create an offset using a 52/53 workweek calendar where the last day of the fiscal calendar lands on the last (variation='last') Saturday (weekday=5) in December (month=12). See documentation for an explainer on the other parameters, and the ‘nearest’ variation.

Notice the new freq string. Creating the timeseries offset object generates a new freq string that you can use for the pd.date_range function. However, unlike the previous examples you can’t convert these to Period objects to get the quarter, month, etc (you can try it - it’ll return an error).

So how can we use this to create a lookup table? We can do it manually with a loop and pd.date_range:

# Create a '1 day' offset:
d1 = pd.tseries.offsets.DateOffset(n = 1)

# Specify the starting fiscal year
yr = (yoffset_range[0] - pd.tseries.offsets.DateOffset(n=8)).year +1

# iterate over each item in the date range we created earlier:
result = pd.DataFrame()
for i in yoffset_range:
    # recall each item is a Timestamp that represents the first day of the fiscal year,
    # so create a date_range from beginning to end of the fiscal year
    current_range = pd.date_range(i+d1, i+yoffset, freq='D')
    interim_df = pd.DataFrame(index = current_range)
    # day of year
    interim_df['DOY'] = (current_range-current_range[0]).days +1
    # fiscal year
    interim_df['FY'] = yr
    result = result.append(interim_df)
    yr += 1

# See what we get:
result.query('FY==2021').tail(10)
DOY FY
2021-12-16 355 2021
2021-12-17 356 2021
2021-12-18 357 2021
2021-12-19 358 2021
2021-12-20 359 2021
2021-12-21 360 2021
2021-12-22 361 2021
2021-12-23 362 2021
2021-12-24 363 2021
2021-12-25 364 2021

This loop created a dataframe with the daily pd.DatetimeIndex and a few columns that specify where each calendar day falls in the fiscal year.

We can also add more features, like the workweek in the year, which fiscal quarter that day falls under, and more:

# workweek in year
result['WW'] = ((result['DOY']-1) //7) + 1
# fiscal quarter
result['FQ'] = np.minimum((result['WW']//13) + 1, 4)
# workweek in quarter
result['WWinQ'] = result['WW'] - ((result['FQ']-1) * 13)
# fiscal month
result['FM'] = ((result['FQ']-1)*3) + np.minimum(((result['WWinQ'] // 4)+1), 3)

# Show the result
result.query('FY==2021').tail(10)
DOY FY WW FQ WWinQ FM
2021-12-16 355 2021 51 4 12 12
2021-12-17 356 2021 51 4 12 12
2021-12-18 357 2021 51 4 12 12
2021-12-19 358 2021 52 4 13 12
2021-12-20 359 2021 52 4 13 12
2021-12-21 360 2021 52 4 13 12
2021-12-22 361 2021 52 4 13 12
2021-12-23 362 2021 52 4 13 12
2021-12-24 363 2021 52 4 13 12
2021-12-25 364 2021 52 4 13 12

Summary

Great! We can summarize the function a public gist.

So if you have a pretty clean fiscal calendar, pandas has you covered. But if you use a 4-4-5 calendar (aka 52/53 workweek calendar) then you’ll mostly be building one from scratch. pandas does help a little bit with finding the beginning and end dates of each fiscal year, which helps you avoid having to write your own logic to handle leap years and deciding which years have 52 workweeks instead of 53 workweeks.

References Used