© Copyright Quantopian Inc.
© Modifications Copyright QuantRocket LLC
Licensed under the Creative Commons Attribution 4.0.
Disclaimer
© Copyright Quantopian Inc.
© Modifications Copyright QuantRocket LLC
Licensed under the Creative Commons Attribution 4.0.
Disclaimer
by Maxwell Margenot
pandas is a Python library that provides a collection of powerful data structures to better help you manage data. In this lecture, we will cover how to use the Series and DataFrame objects to handle data. These objects have a strong integration with NumPy, allowing us to easily do the necessary statistical and mathematical calculations that we need for finance.
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
With pandas, it is easy to store, visualize, and perform calculations on your data. With only a few lines of code we can modify our data and present it in an easily-understandable way. Here we simulate some returns in NumPy, put them into a pandas DataFrame, and perform calculations to turn them into prices and plot them, all only using a few lines of code.
returns = pd.DataFrame(np.random.normal(1.0, 0.03, (100, 10)))
prices = returns.cumprod()
prices.plot()
plt.title('Randomly-generated Prices')
plt.xlabel('Time')
plt.ylabel('Price')
plt.legend(loc=0);
So let's have a look at how we actually build up to this point!
s = pd.Series([1, 2, np.nan, 4, 5])
print(s)
0 1.0 1 2.0 2 NaN 3 4.0 4 5.0 dtype: float64
Every Series has a name. We can give the series a name as a parameter or we can define it afterwards by directly accessing the name attribute. In this case, we have given our time series no name so the attribute should be empty.
print(s.name)
None
This name can be directly modified with no repercussions.
s.name = "Toy Series"
print(s.name)
Toy Series
We call the collected axis labels of a Series its index. An index can either passed to a Series as a parameter or added later, similarly to its name. In the absence of an index, a Series will simply contain an index composed of integers, starting at $0$, as in the case of our "Toy Series".
print(s.index)
RangeIndex(start=0, stop=5, step=1)
pandas has a built-in function specifically for creating date indices, date_range(). We use the function here to create a new index for s.
new_index = pd.date_range("2016-01-01", periods=len(s), freq="D")
print(new_index)
DatetimeIndex(['2016-01-01', '2016-01-02', '2016-01-03', '2016-01-04',
'2016-01-05'],
dtype='datetime64[ns]', freq='D')
An index must be exactly the same length as the Series itself. Each index must match one-to-one with each element of the Series. Once this is satisfied, we can directly modify the Series index, as with the name, to use our new and more informative index (relatively speaking).
s.index = new_index
print(s.index)
DatetimeIndex(['2016-01-01', '2016-01-02', '2016-01-03', '2016-01-04',
'2016-01-05'],
dtype='datetime64[ns]', freq='D')
The index of the Series is crucial for handling time series, which we will get into a little later.
Series Elements¶Series are typically accessed using the iloc[] and loc[] methods. We use iloc[] to access elements by integer index and we use loc[] to access the index of the Series.
print("First element of the series:", s.iloc[0])
print("Last element of the series:", s.iloc[len(s)-1])
First element of the series: 1.0 Last element of the series: 5.0
We can slice a Series similarly to our favorite collections, Python lists and NumPy arrays. We use the colon operator to indicate the slice.
s.iloc[:2]
2016-01-01 1.0 2016-01-02 2.0 Freq: D, Name: Toy Series, dtype: float64
When creating a slice, we have the options of specifying a beginning, an end, and a step. The slice will begin at the start index, and take steps of size step until it passes the end index, not including the end.
start = 0
end = len(s) - 1
step = 1
s.iloc[start:end:step]
2016-01-01 1.0 2016-01-02 2.0 2016-01-03 NaN 2016-01-04 4.0 Freq: D, Name: Toy Series, dtype: float64
We can even reverse a Series by specifying a negative step size. Similarly, we can index the start and end with a negative integer value.
s.iloc[::-1]
2016-01-05 5.0 2016-01-04 4.0 2016-01-03 NaN 2016-01-02 2.0 2016-01-01 1.0 Freq: -1D, Name: Toy Series, dtype: float64
This returns a slice of the series that starts from the second to last element and ends at the third to last element (because the fourth to last is not included, taking steps of size $1$).
s.iloc[-2:-4:-1]
2016-01-04 4.0 2016-01-03 NaN Freq: -1D, Name: Toy Series, dtype: float64
We can also access a series by using the values of its index. Since we indexed s with a collection of dates (Timestamp objects) we can look at the value contained in s for a particular date.
s.loc['2016-01-01']
1.0
Or even for a range of dates!
s.loc['2016-01-02':'2016-01-04']
2016-01-02 2.0 2016-01-03 NaN 2016-01-04 4.0 Freq: D, Name: Toy Series, dtype: float64
With Series, we can just use the brackets ([]) to access elements, but this is not best practice. The brackets are ambiguous because they can be used to access Series (and DataFrames) using both index and integer values and the results will change based on context (especially with DataFrames).
In addition to the above-mentioned access methods, you can filter Series using boolean arrays. Series are compatible with your standard comparators. Once compared with whatever condition you like, you get back yet another Series, this time filled with boolean values.
print(s < 3)
2016-01-01 True 2016-01-02 True 2016-01-03 False 2016-01-04 False 2016-01-05 False Freq: D, Name: Toy Series, dtype: bool
We can pass this Series back into the original Series to filter out only the elements for which our condition is True.
print(s.loc[s < 3])
2016-01-01 1.0 2016-01-02 2.0 Freq: D, Name: Toy Series, dtype: float64
If we so desire, we can group multiple conditions together using the logical operators &, |, and ~ (and, or, and not, respectively).
print(s.loc[(s < 3) & (s > 1)])
2016-01-02 2.0 Freq: D, Name: Toy Series, dtype: float64
This is very convenient for getting only elements of a Series that fulfill specific criteria that we need. It gets even more convenient when we are handling DataFrames.
Since we use Series for handling time series, it's worth covering a little bit of how we handle the time component. For our purposes we use pandas Timestamp objects. Let's pull a full time series, complete with all the appropriate labels, by using our get_prices() function. All data pulled with get_prices() will be in DataFrame format. We can modify this index however we like.
from quantrocket.master import get_securities
securities = get_securities(symbols='XOM', fields=['Sid','Symbol','Exchange'], vendors='usstock')
securities
| Symbol | Exchange | |
|---|---|---|
| Sid | ||
| FIBBG000GZQ728 | XOM | XNYS |
from quantrocket import get_prices
XOM = securities.index[0]
start = "2012-01-01"
end = "2016-01-01"
prices = get_prices("usstock-free-1min", data_frequency="daily", sids=XOM, start_date=start, end_date=end, fields="Close")
prices = prices.loc["Close"][XOM]
We can display the first few elements of our series by using the head() method and specifying the number of elements that we want. The analogous method for the last few elements is tail().
print(type(prices))
prices.head(5)
<class 'pandas.core.series.Series'>
Date 2012-01-03 76.760 2012-01-04 76.778 2012-01-05 76.546 2012-01-06 75.975 2012-01-09 76.314 Name: FIBBG000GZQ728, dtype: float64
As with our toy example, we can specify a name for our time series, if only to clarify the name the get_pricing() provides us.
print('Old name:', prices.name)
prices.name = "XOM"
print('New name:', prices.name)
Old name: FIBBG000GZQ728 New name: XOM
Let's take a closer look at the DatetimeIndex of our prices time series.
print(prices.index)
print("tz:", prices.index.tz)
DatetimeIndex(['2012-01-03', '2012-01-04', '2012-01-05', '2012-01-06',
'2012-01-09', '2012-01-10', '2012-01-11', '2012-01-12',
'2012-01-13', '2012-01-17',
...
'2015-12-17', '2015-12-18', '2015-12-21', '2015-12-22',
'2015-12-23', '2015-12-24', '2015-12-28', '2015-12-29',
'2015-12-30', '2015-12-31'],
dtype='datetime64[ns]', name='Date', length=1006, freq=None)
tz: None
Notice that this DatetimeIndex has a collection of associated information. In particular it has an associated frequency (freq) and an associated timezone (tz). The frequency indicates whether the data is daily vs monthly vs some other period while the timezone indicates what locale this index is relative to. We can modify all of this extra information!
If we resample our Series, we can adjust the frequency of our data. We currently have daily data (excluding weekends). Let's downsample from this daily data to monthly data using the resample() method.
monthly_prices = prices.resample('M').last()
monthly_prices.head(10)
Date 2012-01-31 74.743 2012-02-29 77.629 2012-03-31 77.835 2012-04-30 77.485 2012-05-31 71.052 2012-06-30 77.323 2012-07-31 78.480 2012-08-31 79.399 2012-09-30 83.174 2012-10-31 82.919 Freq: M, Name: XOM, dtype: float64
In the above example we use the last value of the lower level data to create the higher level data. We can specify how else we might want the down-sampling to be calculated, for example using the median.
monthly_prices_med = prices.resample('M').median()
monthly_prices_med.head(10)
Date 2012-01-31 76.5770 2012-02-29 76.6105 2012-03-31 77.2565 2012-04-30 76.6195 2012-05-31 74.2285 2012-06-30 74.1970 2012-07-31 77.2330 2012-08-31 79.7990 2012-09-30 82.9740 2012-10-31 83.4190 Freq: M, Name: XOM, dtype: float64
We can even specify how we want the calculation of the new period to be done. Here we create a custom_resampler() function that will return the first value of the period. In our specific case, this will return a Series where the monthly value is the first value of that month.
def custom_resampler(array_like):
""" Returns the first value of the period """
return array_like.iloc[0]
first_of_month_prices = prices.resample('M').apply(custom_resampler)
first_of_month_prices.head(10)
Date 2012-01-31 76.760 2012-02-29 74.948 2012-03-31 77.925 2012-04-30 78.140 2012-05-31 78.114 2012-06-30 70.411 2012-07-31 77.115 2012-08-31 78.534 2012-09-30 79.236 2012-10-31 83.492 Freq: M, Name: XOM, dtype: float64
We can also adjust the timezone of a Series to adapt the time of real-world data. In our case, our time series isn't localized to a timezone, but let's say that we want to localize the time to be 'America/New_York'. In this case we use the tz_localize() method, since the time isn't already localized.
eastern_prices = prices.tz_localize('America/New_York')
eastern_prices.head(10)
Date 2012-01-03 00:00:00-05:00 76.760 2012-01-04 00:00:00-05:00 76.778 2012-01-05 00:00:00-05:00 76.546 2012-01-06 00:00:00-05:00 75.975 2012-01-09 00:00:00-05:00 76.314 2012-01-10 00:00:00-05:00 76.510 2012-01-11 00:00:00-05:00 75.939 2012-01-12 00:00:00-05:00 75.635 2012-01-13 00:00:00-05:00 75.760 2012-01-17 00:00:00-05:00 76.483 Name: XOM, dtype: float64
In addition to the capacity for timezone and frequency management, each time series has a built-in reindex() method that we can use to realign the existing data according to a new set of index labels. If data does not exist for a particular label, the data will be filled with a placeholder value. This is typically np.nan, though we can provide a fill method.
The data that we get from get_prices() only includes market days. But what if we want prices for every single calendar day? This will include holidays and weekends, times when you normally cannot trade equities. First let's create a new DatetimeIndex that contains all that we want.
calendar_dates = pd.date_range(start=start, end=end, freq='D')
print(calendar_dates)
DatetimeIndex(['2012-01-01', '2012-01-02', '2012-01-03', '2012-01-04',
'2012-01-05', '2012-01-06', '2012-01-07', '2012-01-08',
'2012-01-09', '2012-01-10',
...
'2015-12-23', '2015-12-24', '2015-12-25', '2015-12-26',
'2015-12-27', '2015-12-28', '2015-12-29', '2015-12-30',
'2015-12-31', '2016-01-01'],
dtype='datetime64[ns]', length=1462, freq='D')
Now let's use this new set of dates to reindex our time series. We tell the function that the fill method that we want is ffill. This denotes "forward fill". Any NaN values will be filled by the last value listed. So the price on the weekend or on a holiday will be listed as the price on the last market day that we know about.
calendar_prices = prices.reindex(calendar_dates, method='ffill')
calendar_prices.head(15)
2012-01-01 NaN 2012-01-02 NaN 2012-01-03 76.760 2012-01-04 76.778 2012-01-05 76.546 2012-01-06 75.975 2012-01-07 75.975 2012-01-08 75.975 2012-01-09 76.314 2012-01-10 76.510 2012-01-11 75.939 2012-01-12 75.635 2012-01-13 75.760 2012-01-14 75.760 2012-01-15 75.760 Freq: D, Name: XOM, dtype: float64
You'll notice that we still have a couple of NaN values right at the beginning of our time series. This is because the first of January in 2012 was a Sunday and the second was a market holiday! Because these are the earliest data points and we don't have any information from before them, they cannot be forward-filled. We will take care of these NaN values in the next section, when we deal with missing data.
Whenever we deal with real data, there is a very real possibility of encountering missing values. Real data is riddled with holes and pandas provides us with ways to handle them. Sometimes resampling or reindexing can create NaN values. Fortunately, pandas provides us with ways to handle them. We have two primary means of coping with missing data. The first of these is filling in the missing data with fillna(). For example, say that we want to fill in the missing days with the mean price of all days.
meanfilled_prices = calendar_prices.fillna(calendar_prices.mean())
meanfilled_prices.head(10)
2012-01-01 84.152682 2012-01-02 84.152682 2012-01-03 76.760000 2012-01-04 76.778000 2012-01-05 76.546000 2012-01-06 75.975000 2012-01-07 75.975000 2012-01-08 75.975000 2012-01-09 76.314000 2012-01-10 76.510000 Freq: D, Name: XOM, dtype: float64
Using fillna() is fairly easy. It is just a matter of indicating the value that you want to fill the spaces with. Unfortunately, this particular case doesn't make a whole lot of sense, for reasons discussed in the lecture on stationarity in the Lecture series. We could fill them with with $0$, simply, but that's similarly uninformative.
Rather than filling in specific values with fillna(), we can use the bfill() method to "backward fill", where NaNs are filled with the next filled value (instead of forward fill's last filled value) like so:
bfilled_prices = calendar_prices.bfill()
bfilled_prices.head(10)
2012-01-01 76.760 2012-01-02 76.760 2012-01-03 76.760 2012-01-04 76.778 2012-01-05 76.546 2012-01-06 75.975 2012-01-07 75.975 2012-01-08 75.975 2012-01-09 76.314 2012-01-10 76.510 Freq: D, Name: XOM, dtype: float64
But again, this is a bad idea for the same reasons as the previous option. Both of these so-called solutions take into account future data that was not available at the time of the data points that we are trying to fill. In the case of using the mean or the median, these summary statistics are calculated by taking into account the entire time series. Backward filling is equivalent to saying that the price of a particular security today, right now, is tomorrow's price. This also makes no sense. These two options are both examples of look-ahead bias, using data that would be unknown or unavailable at the desired time, and should be avoided.
Our next option is significantly more appealing. We could simply drop the missing data using the dropna() method. This is much better alternative than filling NaN values in with arbitrary numbers.
dropped_prices = calendar_prices.dropna()
dropped_prices.head(10)
2012-01-03 76.760 2012-01-04 76.778 2012-01-05 76.546 2012-01-06 75.975 2012-01-07 75.975 2012-01-08 75.975 2012-01-09 76.314 2012-01-10 76.510 2012-01-11 75.939 2012-01-12 75.635 Freq: D, Name: XOM, dtype: float64
Now our time series is cleaned for the calendar year, with all of our NaN values properly handled. It is time to talk about how to actually do time series analysis with pandas data structures.
Let's do some basic time series analysis on our original prices. Each pandas Series has a built-in plotting method.
prices.plot();
# We still need to add the axis labels and title ourselves
plt.title("XOM Prices")
plt.ylabel("Price")
plt.xlabel("Date");
As well as some built-in descriptive statistics. We can either calculate these individually or using the describe() method.
print("Mean:", prices.mean())
print("Standard deviation:", prices.std())
Mean: 84.12831908548708 Standard deviation: 6.59102021142679
print("Summary Statistics")
print(prices.describe())
Summary Statistics count 1006.000000 mean 84.128319 std 6.591020 min 68.116000 25% 79.783250 50% 82.990000 75% 88.993250 max 99.502000 Name: XOM, dtype: float64
We can easily modify Series with scalars using our basic mathematical operators.
modified_prices = prices * 2 - 10
modified_prices.head(5)
Date 2012-01-03 143.520 2012-01-04 143.556 2012-01-05 143.092 2012-01-06 141.950 2012-01-09 142.628 Name: XOM, dtype: float64
And we can create linear combinations of Series themselves using the basic mathematical operators. pandas will group up matching indices and perform the calculations elementwise to produce a new Series.
noisy_prices = prices + 5 * pd.Series(np.random.normal(0, 5, len(prices)), index=prices.index) + 20
noisy_prices.head(5)
Date 2012-01-03 67.168340 2012-01-04 101.895873 2012-01-05 96.558114 2012-01-06 140.748484 2012-01-09 89.780228 dtype: float64
If there are no matching indices, however, we may get an empty Series in return.
empty_series = prices + pd.Series(np.random.normal(0, 1, len(prices)))
empty_series.head(5)
2012-01-03 00:00:00 NaN 2012-01-04 00:00:00 NaN 2012-01-05 00:00:00 NaN 2012-01-06 00:00:00 NaN 2012-01-09 00:00:00 NaN dtype: float64
Rather than looking at a time series itself, we may want to look at its first-order differences or percent change (in order to get additive or multiplicative returns, in our particular case). Both of these are built-in methods.
add_returns = prices.diff()[1:]
mult_returns = prices.pct_change()[1:]
plt.title("Multiplicative returns of XOM")
plt.xlabel("Date")
plt.ylabel("Percent Returns")
mult_returns.plot();
pandas has convenient functions for calculating rolling means and standard deviations, as well!
rolling_mean = prices.rolling(30).mean()
rolling_mean.name = "30-day rolling mean"
prices.plot()
rolling_mean.plot()
plt.title("XOM Price")
plt.xlabel("Date")
plt.ylabel("Price")
plt.legend();
rolling_std = prices.rolling(30).std()
rolling_std.name = "30-day rolling volatility"
rolling_std.plot()
plt.title(rolling_std.name);
plt.xlabel("Date")
plt.ylabel("Standard Deviation");
Many NumPy functions will work on Series the same way that they work on 1-dimensional NumPy arrays.
print(np.median(mult_returns))
-0.00031201248049916863
The majority of these functions, however, are already implemented directly as Series and DataFrame methods.
print(mult_returns.median())
-0.00031201248049916863
In every case, using the built-in pandas method will be better than using the NumPy function on a pandas data structure due to improvements in performance. Make sure to check out the Series documentation before resorting to other calculations of common functions.
DataFrames¶Many of the aspects of working with Series carry over into DataFrames. pandas DataFrames allow us to easily manage our data with their intuitive structure.
Like Series, DataFrames can hold multiple types of data, but DataFrames are 2-dimensional objects, unlike Series. Each DataFrame has an index and a columns attribute, which we will cover more in-depth when we start actually playing with an object. The index attribute is like the index of a Series, though indices in pandas have some extra features that we will unfortunately not be able to cover here. If you are interested in this, check out the pandas documentation on advanced indexing. The columns attribute is what provides the second dimension of our DataFrames, allowing us to combine named columns (all Series), into a cohesive object with the index lined-up.
We can create a DataFrame by calling pandas.DataFrame() on a dictionary or NumPy ndarray. We can also concatenate a group of pandas Series into a DataFrame using pandas.concat().
dict_data = {
'a' : [1, 2, 3, 4, 5],
'b' : ['L', 'K', 'J', 'M', 'Z'],
'c' : np.random.normal(0, 1, 5)
}
print(dict_data)
{'a': [1, 2, 3, 4, 5], 'b': ['L', 'K', 'J', 'M', 'Z'], 'c': array([-0.96525558, -0.17670317, 1.52158697, -0.55480652, -1.42119632])}
Each DataFrame has a few key attributes that we need to keep in mind. The first of these is the index attribute. We can easily include an index of Timestamp objects like we did with Series.
frame_data = pd.DataFrame(dict_data, index=pd.date_range('2016-01-01', periods=5))
print(frame_data)
a b c 2016-01-01 1 L -0.965256 2016-01-02 2 K -0.176703 2016-01-03 3 J 1.521587 2016-01-04 4 M -0.554807 2016-01-05 5 Z -1.421196
As mentioned above, we can combine Series into DataFrames. Concatatenating Series like this will match elements up based on their corresponding index. As the following Series do not have an index assigned, they each default to an integer index.
s_1 = pd.Series([2, 4, 6, 8, 10], name='Evens')
s_2 = pd.Series([1, 3, 5, 7, 9], name="Odds")
numbers = pd.concat([s_1, s_2], axis=1)
print(numbers)
Evens Odds 0 2 1 1 4 3 2 6 5 3 8 7 4 10 9
We will use pandas.concat() again later to combine multiple DataFrames into one.
Each DataFrame also has a columns attribute. These can either be assigned when we call pandas.DataFrame or they can be modified directly like the index. Note that when we concatenated the two Series above, the column names were the names of those Series.
print(numbers.columns)
Index(['Evens', 'Odds'], dtype='object')
To modify the columns after object creation, we need only do the following:
numbers.columns = ['Shmevens', 'Shmodds']
print(numbers)
Shmevens Shmodds 0 2 1 1 4 3 2 6 5 3 8 7 4 10 9
In the same vein, the index of a DataFrame can be changed after the fact.
print(numbers.index)
RangeIndex(start=0, stop=5, step=1)
numbers.index = pd.date_range("2016-01-01", periods=len(numbers))
print(numbers)
Shmevens Shmodds 2016-01-01 2 1 2016-01-02 4 3 2016-01-03 6 5 2016-01-04 8 7 2016-01-05 10 9
Separate from the columns and index of a DataFrame, we can also directly access the values they contain by looking at the values attribute.
numbers.values
array([[ 2, 1],
[ 4, 3],
[ 6, 5],
[ 8, 7],
[10, 9]])This returns a NumPy array.
type(numbers.values)
numpy.ndarray
DataFrame elements¶Again we see a lot of carryover from Series in how we access the elements of DataFrames. The key sticking point here is that everything has to take into account multiple dimensions now. The main way that this happens is through the access of the columns of a DataFrame, either individually or in groups. We can do this either by directly accessing the attributes or by using the methods we already are familiar with.
Let's start by loading price data for several securities:
securities = get_securities(symbols=['XOM', 'JNJ', 'MON', 'KKD'], vendors='usstock')
securities
| Symbol | Exchange | Country | Currency | SecType | Etf | Timezone | Name | PriceMagnifier | Multiplier | Delisted | DateDelisted | LastTradeDate | RolloverDate | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Sid | ||||||||||||||
| FIBBG000BFWKC0 | MON | XNYS | US | USD | STK | False | America/New_York | MONSANTO CO | 1 | 1 | True | 2018-06-06 | NaT | NaT |
| FIBBG000BMHYD1 | JNJ | XNYS | US | USD | STK | False | America/New_York | JOHNSON & JOHNSON | 1 | 1 | False | NaT | NaT | NaT |
| FIBBG000CK38G3 | KKD | XNYS | US | USD | STK | False | America/New_York | KRISPY KREME DOUGHNUTS INC | 1 | 1 | True | 2016-07-27 | NaT | NaT |
| FIBBG000GZQ728 | XOM | XNYS | US | USD | STK | False | America/New_York | EXXON MOBIL CORP | 1 | 1 | False | NaT | NaT | NaT |
| FIBBG00YPSJ318 | MON | XNAS | US | USD | STK | False | America/New_York | MONUMENT CIRCLE ACQUI-CL A | 1 | 1 | True | 2022-12-23 | NaT | NaT |
Since get_securities returns sids in the index, we can call the index's tolist() method to pass a list of sids to get_prices:
start = "2012-01-01"
end = "2017-01-01"
prices = get_prices("usstock-free-1min", data_frequency="daily", sids=securities.index.tolist(), start_date=start, end_date=end, fields="Close")
prices = prices.loc["Close"]
prices.head()
| Sid | FIBBG000BFWKC0 | FIBBG000BMHYD1 | FIBBG000CK38G3 | FIBBG000GZQ728 |
|---|---|---|---|---|
| Date | ||||
| 2012-01-03 | 66.096 | 56.665 | 6.52 | 74.141 |
| 2012-01-04 | 67.046 | 56.321 | 6.36 | 74.159 |
| 2012-01-05 | 70.746 | 56.252 | 6.42 | 73.934 |
| 2012-01-06 | 71.512 | 55.762 | 7.12 | 73.383 |
| 2012-01-09 | 72.425 | 55.848 | 7.31 | 73.710 |
For the purpose of this tutorial, it will be more convenient to reference the data by symbol instead of sid. To do this, we can create a Python dictionary mapping sid to symbol, and use the dictionary to rename the columns, using the DataFrame's rename method:
sids_to_symbols = securities.Symbol.to_dict()
prices = prices.rename(columns=sids_to_symbols)
prices.head()
| Sid | MON | JNJ | KKD | XOM |
|---|---|---|---|---|
| Date | ||||
| 2012-01-03 | 66.096 | 56.665 | 6.52 | 74.141 |
| 2012-01-04 | 67.046 | 56.321 | 6.36 | 74.159 |
| 2012-01-05 | 70.746 | 56.252 | 6.42 | 73.934 |
| 2012-01-06 | 71.512 | 55.762 | 7.12 | 73.383 |
| 2012-01-09 | 72.425 | 55.848 | 7.31 | 73.710 |
Here we directly access the XOM column. Note that this style of access will only work if your column name has no spaces or unfriendly characters in it.
prices.XOM.head()
Date 2012-01-03 74.141 2012-01-04 74.159 2012-01-05 73.934 2012-01-06 73.383 2012-01-09 73.710 Name: XOM, dtype: float64
We can also access the column using the column name in brackets:
prices["XOM"].head()
Date 2012-01-03 74.141 2012-01-04 74.159 2012-01-05 73.934 2012-01-06 73.383 2012-01-09 73.710 Name: XOM, dtype: float64
We can also use loc[] to access an individual column like so.
prices.loc[:, 'XOM'].head()
Date 2012-01-03 74.141 2012-01-04 74.159 2012-01-05 73.934 2012-01-06 73.383 2012-01-09 73.710 Name: XOM, dtype: float64
Accessing an individual column will return a Series, regardless of how we get it.
print(type(prices.XOM))
print(type(prices.loc[:, 'XOM']))
<class 'pandas.core.series.Series'> <class 'pandas.core.series.Series'>
Notice how we pass a tuple into the loc[] method? This is a key difference between accessing a Series and accessing a DataFrame, grounded in the fact that a DataFrame has multiple dimensions. When you pass a 2-dimensional tuple into a DataFrame, the first element of the tuple is applied to the rows and the second is applied to the columns. So, to break it down, the above line of code tells the DataFrame to return every single row of the column with label 'XOM'. Lists of columns are also supported.
prices.loc[:, ['XOM', 'JNJ']].head()
| Sid | XOM | JNJ |
|---|---|---|
| Date | ||
| 2012-01-03 | 74.141 | 56.665 |
| 2012-01-04 | 74.159 | 56.321 |
| 2012-01-05 | 73.934 | 56.252 |
| 2012-01-06 | 73.383 | 55.762 |
| 2012-01-09 | 73.710 | 55.848 |
We can also simply access the DataFrame by index value using loc[], as with Series.
prices.loc['2015-12-15':'2015-12-22']
| Sid | MON | JNJ | KKD | XOM |
|---|---|---|---|---|
| Date | ||||
| 2015-12-15 | 93.491 | 101.268 | 15.12 | 76.720 |
| 2015-12-16 | 94.928 | 102.357 | 15.09 | 76.450 |
| 2015-12-17 | 93.608 | 100.791 | 14.86 | 75.300 |
| 2015-12-18 | 92.728 | 99.148 | 14.81 | 74.644 |
| 2015-12-21 | 93.305 | 98.788 | 14.98 | 74.624 |
| 2015-12-22 | 95.143 | 99.887 | 14.96 | 75.001 |
This plays nicely with lists of columns, too.
prices.loc['2015-12-15':'2015-12-22', ['XOM', 'JNJ']]
| Sid | XOM | JNJ |
|---|---|---|
| Date | ||
| 2015-12-15 | 76.720 | 101.268 |
| 2015-12-16 | 76.450 | 102.357 |
| 2015-12-17 | 75.300 | 100.791 |
| 2015-12-18 | 74.644 | 99.148 |
| 2015-12-21 | 74.624 | 98.788 |
| 2015-12-22 | 75.001 | 99.887 |
Using iloc[] also works similarly, allowing you to access parts of the DataFrame by integer index.
prices.iloc[0:2, 1]
Date 2012-01-03 56.665 2012-01-04 56.321 Name: JNJ, dtype: float64
# Access prices with integer index in
# [1, 3, 5, 7, 9, 11, 13, ..., 99]
# and in column 0 or 2
prices.iloc[[1, 3, 5] + list(range(7, 100, 2)), [0, 2]].head(20)
| Sid | MON | KKD |
|---|---|---|
| Date | ||
| 2012-01-04 | 67.046 | 6.36 |
| 2012-01-06 | 71.512 | 7.12 |
| 2012-01-10 | 73.071 | 7.19 |
| 2012-01-12 | 74.058 | 7.35 |
| 2012-01-17 | 74.399 | 6.96 |
| 2012-01-19 | 74.132 | 7.01 |
| 2012-01-23 | 73.707 | 6.91 |
| 2012-01-25 | 75.027 | 7.03 |
| 2012-01-27 | 74.298 | 7.65 |
| 2012-01-31 | 75.700 | 7.33 |
| 2012-02-02 | 75.774 | 7.68 |
| 2012-02-06 | 73.486 | 7.94 |
| 2012-02-08 | 73.015 | 8.03 |
| 2012-02-10 | 71.355 | 8.00 |
| 2012-02-14 | 70.986 | 8.33 |
| 2012-02-16 | 72.895 | 8.58 |
| 2012-02-21 | 73.237 | 8.61 |
| 2012-02-23 | 71.761 | 8.64 |
| 2012-02-27 | 72.739 | 7.99 |
| 2012-02-29 | 71.392 | 8.18 |
As with Series, sometimes we want to filter a DataFrame according to a set of criteria. We do this by indexing our DataFrame with boolean values.
prices.loc[prices.MON > prices.JNJ].head()
| Sid | MON | JNJ | KKD | XOM |
|---|---|---|---|---|
| Date | ||||
| 2012-01-03 | 66.096 | 56.665 | 6.52 | 74.141 |
| 2012-01-04 | 67.046 | 56.321 | 6.36 | 74.159 |
| 2012-01-05 | 70.746 | 56.252 | 6.42 | 73.934 |
| 2012-01-06 | 71.512 | 55.762 | 7.12 | 73.383 |
| 2012-01-09 | 72.425 | 55.848 | 7.31 | 73.710 |
We can add multiple boolean conditions by using the logical operators &, |, and ~ (and, or, and not, respectively) again!
prices.loc[(prices.MON > prices.JNJ) & ~(prices.XOM > 66)].head()
| Sid | MON | JNJ | KKD | XOM |
|---|---|---|---|---|
| Date | ||||
| 2015-08-24 | 90.906 | 89.608 | 16.71 | 65.802 |
DataFrames/Series¶It is all well and good when you already have a DataFrame filled with data, but it is also important to be able to add to the data that you have.
We add a new column simply by assigning data to a column that does not already exist. Here we use the .loc[:, 'COL_NAME'] notation and store the output of get_pricing() (which returns a pandas Series if we only pass one security) there. This is the method that we would use to add a Series to an existing DataFrame.
securities = get_securities(symbols="AAPL", vendors='usstock')
securities
| Symbol | Exchange | Country | Currency | SecType | Etf | Timezone | Name | PriceMagnifier | Multiplier | Delisted | DateDelisted | LastTradeDate | RolloverDate | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Sid | ||||||||||||||
| FIBBG000B9XRY4 | AAPL | XNAS | US | USD | STK | False | America/New_York | APPLE INC | 1 | 1 | False | NaT | NaT | NaT |
AAPL = securities.index[0]
s_1 = get_prices("usstock-free-1min", data_frequency="daily", sids=AAPL, start_date=start, end_date=end, fields='Close').loc["Close"][AAPL]
prices.loc[:, AAPL] = s_1
prices.head(5)
| Sid | MON | JNJ | KKD | XOM | FIBBG000B9XRY4 |
|---|---|---|---|---|---|
| Date | |||||
| 2012-01-03 | 66.096 | 56.665 | 6.52 | 74.141 | 53.510 |
| 2012-01-04 | 67.046 | 56.321 | 6.36 | 74.159 | 53.797 |
| 2012-01-05 | 70.746 | 56.252 | 6.42 | 73.934 | 54.395 |
| 2012-01-06 | 71.512 | 55.762 | 7.12 | 73.383 | 54.963 |
| 2012-01-09 | 72.425 | 55.848 | 7.31 | 73.710 | 54.876 |
It is also just as easy to remove a column.
prices = prices.drop(AAPL, axis=1)
prices.head(5)
| Sid | MON | JNJ | KKD | XOM |
|---|---|---|---|---|
| Date | ||||
| 2012-01-03 | 66.096 | 56.665 | 6.52 | 74.141 |
| 2012-01-04 | 67.046 | 56.321 | 6.36 | 74.159 |
| 2012-01-05 | 70.746 | 56.252 | 6.42 | 73.934 |
| 2012-01-06 | 71.512 | 55.762 | 7.12 | 73.383 |
| 2012-01-09 | 72.425 | 55.848 | 7.31 | 73.710 |
Using the built-in statistics methods for DataFrames, we can perform calculations on multiple time series at once! The code to perform calculations on DataFrames here is almost exactly the same as the methods used for Series above, so don't worry about re-learning everything.
The plot() method makes another appearance here, this time with a built-in legend that corresponds to the names of the columns that you are plotting.
prices.plot()
plt.title("Collected Stock Prices")
plt.ylabel("Price")
plt.xlabel("Date");
The same statistical functions from our interactions with Series resurface here with the addition of the axis parameter. By specifying the axis, we tell pandas to calculate the desired function along either the rows (axis=0) or the columns (axis=1). We can easily calculate the mean of each columns like so:
prices.mean(axis=0)
Sid MON 97.354828 JNJ 87.628015 KKD 15.453603 XOM 81.975611 dtype: float64
As well as the standard deviation:
prices.std(axis=0)
Sid MON 13.113086 JNJ 18.909646 KKD 5.016813 XOM 6.284654 dtype: float64
Again, the describe() function will provide us with summary statistics of our data if we would rather have all of our typical statistics in a convenient visual instead of calculating them individually.
prices.describe()
| Sid | MON | JNJ | KKD | XOM |
|---|---|---|---|---|
| count | 1258.000000 | 1258.000000 | 1149.000000 | 1258.000000 |
| mean | 97.354828 | 87.628015 | 15.453603 | 81.975611 |
| std | 13.113086 | 18.909646 | 5.016813 | 6.284654 |
| min | 64.720000 | 54.130000 | 5.900000 | 65.792000 |
| 25% | 88.425250 | 73.747500 | 13.000000 | 77.642500 |
| 50% | 99.240500 | 93.021500 | 16.820000 | 81.023000 |
| 75% | 107.470500 | 98.883750 | 19.320000 | 86.814500 |
| max | 120.811000 | 123.714000 | 26.510000 | 96.107000 |
We can scale and add scalars to our DataFrame, as you might suspect after dealing with Series. This again works element-wise.
(2 * prices - 50).head(5)
| Sid | MON | JNJ | KKD | XOM |
|---|---|---|---|---|
| Date | ||||
| 2012-01-03 | 82.192 | 63.330 | -36.96 | 98.282 |
| 2012-01-04 | 84.092 | 62.642 | -37.28 | 98.318 |
| 2012-01-05 | 91.492 | 62.504 | -37.16 | 97.868 |
| 2012-01-06 | 93.024 | 61.524 | -35.76 | 96.766 |
| 2012-01-09 | 94.850 | 61.696 | -35.38 | 97.420 |
Here we use the pct_change() method to get a DataFrame of the multiplicative returns of the securities that we are looking at.
mult_returns = prices.pct_change()[1:]
mult_returns.head()
| Sid | MON | JNJ | KKD | XOM |
|---|---|---|---|---|
| Date | ||||
| 2012-01-04 | 0.014373 | -0.006071 | -0.024540 | 0.000243 |
| 2012-01-05 | 0.055186 | -0.001225 | 0.009434 | -0.003034 |
| 2012-01-06 | 0.010827 | -0.008711 | 0.109034 | -0.007453 |
| 2012-01-09 | 0.012767 | 0.001542 | 0.026685 | 0.004456 |
| 2012-01-10 | 0.008920 | 0.004154 | -0.016416 | 0.002578 |
If we use our statistics methods to standardize the returns, a common procedure when examining data, then we can get a better idea of how they all move relative to each other on the same scale.
norm_returns = (mult_returns - mult_returns.mean(axis=0))/mult_returns.std(axis=0)
norm_returns.loc['2014-01-01':'2015-01-01'].plot();
This makes it easier to compare the motion of the different time series contained in our example.
Rolling means and standard deviations also work with DataFrames.
rolling_mean = prices.rolling(30).mean()
rolling_mean.columns = prices.columns
rolling_mean.plot()
plt.title("Rolling Mean of Prices")
plt.xlabel("Date")
plt.ylabel("Price")
plt.legend();
For a complete list of all the methods that are built into DataFrames, check out the documentation.
Managing data gets a lot easier when you deal with pandas, though this has been a very general introduction. There are many more tools within the package which you may discover while trying to get your data to do precisely what you want. If you would rather read more on the additional capabilities of pandas, check out the documentation.
This presentation is for informational purposes only and does not constitute an offer to sell, a solicitation to buy, or a recommendation for any security; nor does it constitute an offer to provide investment advisory or other services by QuantRocket LLC ("QuantRocket"). Nothing contained herein constitutes investment advice or offers any opinion with respect to the suitability of any security, and any views expressed herein should not be taken as advice to buy, sell, or hold any security or as an endorsement of any security or company. In preparing the information contained herein, the authors have not taken into account the investment needs, objectives, and financial circumstances of any particular investor. Any views expressed and data illustrated herein were prepared based upon information believed to be reliable at the time of publication. QuantRocket makes no guarantees as to their accuracy or completeness. All information is subject to change and may quickly become unreliable for various reasons, including changes in market conditions or economic circumstances.