Demo of CCC for PSL Meetup#

This notebook provides a demonstration of the Cost-of-Capital-Calculator (CCC) for the PSL Meetup on April 29, 2019.

To run this notebook on your machine, you will need to follow the instructions to install CCC as described in the CCC README here. In particular, you need to:

  • Install the Anaconda distribution of Python

  • Install the CCC package by typing conda install -c conda-forge ccc (or pip install cost-of-captial-calculator) in the command prompt.

Once you follow the above, you will be ready to work with this Jupyter Notebook.

First things first, import necessary packages#

# To install ccc package (if not already):
import sys
if 'ccc' not in sys.modules:
    !pip install cost-of-capital-calculator
Requirement already satisfied: cost-of-capital-calculator in /home/runner/miniconda3/envs/ccc-dev/lib/python3.12/site-packages (2.0.0)
Requirement already satisfied: taxcalc in /home/runner/miniconda3/envs/ccc-dev/lib/python3.12/site-packages (from cost-of-capital-calculator) (4.4.0)
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# import packages
import pandas as pd
import numpy as np
from bokeh.plotting import figure, show
from bokeh.io import output_notebook
# import CCC classes that we'll work with
from ccc.data import Assets
from ccc.parameters import Specification, DepreciationParams
from ccc.calculator import Calculator
# to print bokeh plots inline
output_notebook()
Loading BokehJS ...

Create an instance of the Assets class#

This is the class that contains the data that underlie CCC. The basic object is a Pandas DataFrame where each row represents a combination of a specific type of asset, industry (approximately 6-digit NAICS) and tax treatment. The columns represent names and codes for the asset and industry classifications, the tax depreciation rules used for that asset, and the rate of economic depreciation (delta).

assets = Assets()
assets.df.head(n=5)
Unnamed: 0 tax_treat assets bea_asset_code bea_ind_code Industry minor_code_alt major_asset_group minor_asset_group major_industry asset_name delta
0 0 corporate 0.0 RD32 110C Farms 111 Intellectual Property Intellectual Property Agriculture, forestry, fishing, and hunting Aerospace products and parts manufacturing 0.22
1 1 corporate 0.0 RD32 113F Forestry, fishing, and related activities 113 Intellectual Property Intellectual Property Agriculture, forestry, fishing, and hunting Aerospace products and parts manufacturing 0.22
2 2 corporate 0.0 RD32 113F Forestry, fishing, and related activities 114 Intellectual Property Intellectual Property Agriculture, forestry, fishing, and hunting Aerospace products and parts manufacturing 0.22
3 3 corporate 0.0 RD32 2110 Oil and gas extraction 211110 Intellectual Property Intellectual Property Mining Aerospace products and parts manufacturing 0.22
4 4 corporate 0.0 RD32 2120 Mining, except oil and gas 212110 Intellectual Property Intellectual Property Mining Aerospace products and parts manufacturing 0.22

Create instances of the two parameters classes#

The Specification class contains many of the model parameters, although depreciation system parameters are contained in the DepreciationParams class. Both are required arguments for the Calculator object.

A Specification object has methods that load the data from a file that contains the default parameter values (default_parameters.json) and then stores them as attributes of the Specification class object.

p.u looks into the instance of this class named p and executing the cell below will show you that p.u is dictionary containtin marginal tax rates on corporate and pass-through income.

Note that the Specification class has some arguments, such as call_tc, which defaults to False, but if set to True will call the Tax-Calculator to estimate marginal tax rates on individual filers’ income.

Similar to Specification, DepreciationParams loads default parameters from a JSON file, in this case the file tax_depreciation_rules.json.

# Create an instance of the Specification class
# p = Specification()
p = Specification(call_tc=True)
# Look at attributes
p.u
Using CPS
Calculator initial year =  2014
Calculator year =  2024
year:  2024
{'tau_pt': array([0.30514124]), 'tau_div': array([0.17460724]), 'tau_int': array([0.31309077]), 'tau_scg': array([0.28526829]), 'tau_lcg': array([0.18438764]), 'tau_td': array([0.20617536]), 'tau_h': array([0.03500787])}
{'c': array([0.21]), 'pt': array([0.30514124])}
# Create an instance of the DepreciationParams class
dp = DepreciationParams()
# Look at an attribute of the dp object
dp.EP1A
[OrderedDict([('value', {'system': 'GDS', 'life': 5.0, 'method': 'DB 200%'}),
              ('year', 2013)])]

Create an instance of the Calculator class#

This class does the calculations on the data. It takes as arguments the data object (named assets here) and the parameters object (named p here).

Excuting the cell below creates an instance of the calculator class with these data and parameters, but does not yet excecute any calculations.

# Create an instance of the Calculator class
calc1 = Calculator(p, dp, assets)

With an instance of the Calculator class created, we can start doing some calculations with these data.

For instance, we can compute a table of the share of corporate vs non-corporate assets across each industry.

# Look at shares of assets across industry
calc1.asset_share_table()
Industry Corporate Pass-Through
0 Agriculture, forestry, fishing, and hunting 0.309688 0.690312
1 Mining 0.826839 0.173161
2 Utilities 0.948540 0.051460
3 Construction 0.286840 0.713160
4 Manufacturing 0.859014 0.140986
5 Wholesale trade 0.715166 0.284834
6 Retail trade 0.728628 0.271372
7 Transportation and warehousing 0.789652 0.210348
8 Information 0.918722 0.081278
9 Finance and insurance 0.786056 0.213944
10 Real estate and rental and leasing 0.212052 0.787948
11 Professional, scientific, and technical services 0.501699 0.498301
12 Management of companies and enterprises 0.824397 0.175603
13 Administrative and waste management services 0.569110 0.430890
14 Educational services 0.590168 0.409832
15 Health care and social assistance 0.510425 0.489575
16 Arts, entertainment, and recreation 0.490811 0.509189
17 Accommodation and food services 0.482236 0.517764
18 Other services, except government 0.343467 0.656533

Specifying a reform policy#

To see some more interesting results, we will want to create another Calculator object with a change in policy or economic assumptions. We can do this in a way analogous to our original instantiation of the Calculator object above. In particular, we’ll need to create a new Specification object (we can use the same underlying data, which was in the object we named assets).

In the code below, we’ll specify our “reform” as current law tax policy for 2026 (the baseline parameters above came from the default model year, 2019). In addition, we’ll increase the corporate income tax rate from 21 to 25%.

# Create another policy
p2 = Specification(year=2026)
p2.update_specification({'CIT_rate': 0.35})
calc2 = Calculator(p2, dp, assets)

Tabular output#

Now with two Calculator objects named calc1 and calc2 (representing the baseline and reform policies), we are ready to compute some of the changes in effective tax rates, cost of capital, or other variables measured in this model.

We start with an overall summary table showing the marginal effective total tax rates (METTRs) for all investments, corporate investments, and pass-through investments under varying financing assumptions. This is done through the summary_table function. It takes a calculator object as an argument.

# Look at differences in METTRs between the two policies
calc1.summary_table(calc2) # calc1 is the baseline, calc2 the reform
Marginal Effective Total Tax Rate Under Baseline Policy Marginal Effective Total Tax Rate Under Reform Policy Change from Baseline (pp)
0 Overall 21.526876 36.559180 15.032303
1 Corporations 19.289825 42.290696 23.000871
2 Equity Financed 22.125764 46.019861 23.894097
3 Debt Financed 9.098922 26.810908 17.711986
4 Pass-Through Entities 25.445118 29.374410 3.929292
5 Equity Financed 27.142495 32.437430 5.294935
6 Debt Financed 17.726241 13.580154 -4.146087

the Calculator.summary_table() method defaults to showing the results for the METTR, but there is a keyword argument that would allow you to view the output for other variables computed in CCC. We can use this to see changes in the cost of capital (denoted by \(\rho\) in the model):

# Look at how the cost of capital changed
calc1.summary_table(calc2, output_variable='rho')
Cost of Capital Under Baseline Policy Cost of Capital Under Reform Policy Change from Baseline (pp)
0 Overall 5.991266 7.410897 1.419631
1 Corporations 5.825206 8.146925 2.321719
2 Equity Financed 6.721989 9.697451 2.975462
3 Debt Financed 3.925764 4.875811 0.950047
4 Pass-Through Entities 6.189211 6.533551 0.344340
5 Equity Financed 7.184843 7.747925 0.563082
6 Debt Financed 3.762559 3.582046 -0.180513

One can also save results to disk by specifying an output type (‘excel’, ‘json’, ‘csv’, ‘tex’) and a file path:

# Save these results to disk
calc1.summary_table(calc2, output_variable='rho', output_type='excel', path='cc_table.xlsx')

There are also Calculator methods to compute summary tables by asset type or industry. These are computed in the next two cells.

# Summary by asset type
calc1.asset_summary_table(calc2)
Category Marginal Effective Total Tax Rate Under Baseline Policy Marginal Effective Total Tax Rate Under Reform Policy Change from Baseline (pp)
0 Overall 21.526876 36.559180 15.032303
1 Corporate 19.289825 42.290696 23.000871
2 Equipment 12.268577 51.221226 38.952649
3 Structures 19.432117 37.101159 17.669042
4 Intellectual Property 9.379703 52.586404 43.206701
5 Inventories 28.801548 39.348000 10.546452
6 Land 26.056496 35.232345 9.175849
7 Pass-through 25.445118 29.374410 3.929292
8 Equipment 7.946231 18.018260 10.072029
9 Structures 23.314464 26.872234 3.557770
10 Intellectual Property 2.192332 5.866596 3.674263
11 Inventories 33.053519 36.968629 3.915110
12 Land 28.857306 32.236065 3.378758
# Summary by industry
calc1.industry_summary_table(calc2)
Category Marginal Effective Total Tax Rate Under Baseline Policy Marginal Effective Total Tax Rate Under Reform Policy Change from Baseline (pp)
0 Overall 21.526876 36.559180 15.032303
1 Corporate 19.289825 42.290696 23.000871
2 Agriculture, forestry, fishing, and hunting 20.534322 39.825970 19.291648
3 Mining 12.219031 40.334556 28.115526
4 Utilities 12.014254 35.617403 23.603149
5 Construction 20.688305 44.152531 23.464226
6 Manufacturing 18.982439 44.975737 25.993298
7 Wholesale trade 24.082118 44.175721 20.093603
8 Retail trade 24.739980 41.380972 16.640992
9 Transportation and warehousing 13.656523 39.123823 25.467300
10 Information 15.067806 45.626685 30.558879
11 Finance and insurance 20.429720 48.923895 28.494175
12 Real estate and rental and leasing 24.425292 37.289023 12.863731
13 Professional, scientific, and technical ser... 16.882275 52.644895 35.762620
14 Management of companies and enterprises 22.944526 45.750770 22.806244
15 Administrative and waste management services 17.130679 48.198467 31.067788
16 Educational services 22.748061 40.858827 18.110766
17 Health care and social assistance 21.572828 42.546117 20.973289
18 Arts, entertainment, and recreation 17.693016 40.552789 22.859773
19 Accommodation and food services 24.357793 40.406482 16.048689
20 Other services, except government 21.339215 39.923188 18.583973
21 Pass-through 25.445118 29.374410 3.929292
22 Agriculture, forestry, fishing, and hunting 22.890823 28.258745 5.367922
23 Mining 8.178225 13.282775 5.104550
24 Utilities 7.674243 15.386904 7.712661
25 Construction 22.783365 27.715992 4.932628
26 Manufacturing 19.656924 23.876224 4.219300
27 Wholesale trade 28.582124 32.982385 4.400262
28 Retail trade 28.669117 32.818548 4.149431
29 Transportation and warehousing 10.988363 16.814706 5.826343
30 Information 13.080848 22.380169 9.299321
31 Finance and insurance 25.182230 29.686517 4.504287
32 Real estate and rental and leasing 27.634351 31.037967 3.403616
33 Professional, scientific, and technical ser... 15.409318 21.332319 5.923000
34 Management of companies and enterprises 24.491387 28.707654 4.216267
35 Administrative and waste management services 15.727368 22.533481 6.806113
36 Educational services 24.105494 27.924088 3.818595
37 Health care and social assistance 22.439307 27.127672 4.688364
38 Arts, entertainment, and recreation 16.351020 22.227996 5.876976
39 Accommodation and food services 26.723881 30.833800 4.109919
40 Other services, except government 21.759689 25.712610 3.952921

Visualizations#

If one wants to visualize the effects of changes in tax policy, the Calculator class has a few methods for this.

We can use the grouped_bar method to show differential effects across assets (the default):

# Visualizing changes by asset type
aplot = calc1.grouped_bar(calc2)
show(aplot)

or we can change from the default asset category split to a split by industry by changing the value of the group_by_asset keyword argument:

# Visualizing changes by industry
iplot = calc1.grouped_bar(calc2, group_by_asset=False)
show(iplot)

There’s also a plot that illustrates the range of the effects of taxes on investments across asset types, by showing the min, max, and mean values:

# Plot to show variation in METTRs across assets
rplot = calc1.range_plot(calc2, output_variable='metr')
show(rplot)

changing to show the effects on pass-through businesses and for a different output variable:

show(rplot)
# Plot to show variation in METTRs across assets
output_notebook()
rplot2 = calc1.range_plot(calc2, corporate=False, output_variable='mettr')
show(rplot2)
Loading BokehJS ...

There’s a bubble plot too, though it doesn’t yet allow for many options (currently only plots METTRs for corporate entities):

bplot = calc1.asset_bubble(calc2)
show(bplot)
WARNING:bokeh.core.validation.check:W-1000 (MISSING_RENDERERS): Plot has no renderers: figure(id='p1470', ...)
WARNING:bokeh.core.validation.check:W-1000 (MISSING_RENDERERS): Plot has no renderers: figure(id='p1409', ...)

Summary#

This notebook provides a brief example of how one would work with CCC. Please explore the source code to see additional flexiblity in the functions. And please leave any questions or suggestions in the CCC repo at PSLmodels/Cost-of-Capital-Calculator#issues.