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/python3.13/site-packages (2.1.0)
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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 =  2026
year:  2026
{'tau_pt': array([0.31008149]), 'tau_div': array([0.18067409]), 'tau_int': array([0.3184047]), 'tau_scg': array([0.29376534]), 'tau_lcg': array([0.19146029]), 'tau_td': array([0.209299]), 'tau_h': array([0.07334225])}
{'c': array([0.21]), 'pt': array([0.31008149])}
# Create an instance of the DepreciationParams class
dp = DepreciationParams()
# Look at an attribute of the dp object
dp.EP1A
[{'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 20.506178 33.676007 13.169829
1 Corporations 17.756248 40.307208 22.550959
2 Equity Financed 20.605396 44.070395 23.464999
3 Debt Financed 7.449457 24.561533 17.112075
4 Pass-Through Entities 25.014298 25.014298 0.000000
5 Equity Financed 26.757719 26.757719 0.000000
6 Debt Financed 16.977097 16.977097 0.000000

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 5.889109 7.058499 1.169389
1 Corporations 5.692199 7.842619 2.150420
2 Equity Financed 6.568428 9.324181 2.755753
3 Debt Financed 3.833356 4.702894 0.869539
4 Pass-Through Entities 6.123827 6.123827 0.000000
5 Equity Financed 7.120174 7.120174 0.000000
6 Debt Financed 3.693871 3.693871 0.000000

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 20.506178 33.676007 13.169829
1 Corporate 17.756248 40.307208 22.550959
2 Equipment 6.799904 47.197284 40.397381
3 Structures 18.385441 35.426917 17.041476
4 Intellectual Property 6.799904 50.901898 44.101995
5 Inventories 29.105266 39.606729 10.501463
6 Land 26.371924 35.508630 9.136707
7 Pass-through 25.014298 25.014298 0.000000
8 Equipment -2.427775 -2.427775 0.000000
9 Structures 22.927011 22.927011 0.000000
10 Intellectual Property -2.427775 -2.427775 0.000000
11 Inventories 33.586251 33.586251 0.000000
12 Land 29.333182 29.333182 0.000000
# 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 20.506178 33.676007 13.169829
1 Corporate 17.756248 40.307208 22.550959
2 Agriculture, forestry, fishing, and hunting 18.621278 37.073627 18.452350
3 Mining 9.749735 37.536188 27.786453
4 Utilities 7.815980 30.139740 22.323760
5 Construction 19.158788 42.231905 23.073117
6 Manufacturing 18.034262 43.827301 25.793039
7 Wholesale trade 23.432961 43.191049 19.758088
8 Retail trade 24.441488 40.760161 16.318673
9 Transportation and warehousing 11.021733 35.913201 24.891468
10 Information 10.421854 41.020501 30.598647
11 Finance and insurance 18.684566 47.135606 28.451041
12 Real estate and rental and leasing 24.411066 37.021868 12.610802
13 Professional, scientific, and technical ser... 14.610847 50.861447 36.250600
14 Management of companies and enterprises 22.469769 45.057469 22.587700
15 Administrative and waste management services 14.325310 45.542028 31.216718
16 Educational services 22.455014 40.266560 17.811546
17 Health care and social assistance 20.611058 41.171599 20.560541
18 Arts, entertainment, and recreation 15.568912 37.804400 22.235488
19 Accommodation and food services 24.059179 39.767657 15.708478
20 Other services, except government 20.816987 39.021868 18.204880
21 Pass-through 25.014298 25.014298 0.000000
22 Agriculture, forestry, fishing, and hunting 20.723595 20.723595 0.000000
23 Mining 3.541143 3.541143 0.000000
24 Utilities 0.007704 0.007704 0.000000
25 Construction 21.035475 21.035475 0.000000
26 Manufacturing 18.172474 18.172474 0.000000
27 Wholesale trade 28.173172 28.173172 0.000000
28 Retail trade 28.486633 28.486633 0.000000
29 Transportation and warehousing 6.199542 6.199542 0.000000
30 Information 4.771799 4.771799 0.000000
31 Finance and insurance 24.195352 24.195352 0.000000
32 Real estate and rental and leasing 27.944737 27.944737 0.000000
33 Professional, scientific, and technical ser... 11.457840 11.457840 0.000000
34 Management of companies and enterprises 23.690801 23.690801 0.000000
35 Administrative and waste management services 10.858873 10.858873 0.000000
36 Educational services 23.589892 23.589892 0.000000
37 Health care and social assistance 20.868499 20.868499 0.000000
38 Arts, entertainment, and recreation 12.562827 12.562827 0.000000
39 Accommodation and food services 26.312844 26.312844 0.000000
40 Other services, except government 20.785560 20.785560 0.000000

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='p1411', ...)
WARNING:bokeh.core.validation.check:W-1000 (MISSING_RENDERERS): Plot has no renderers: figure(id='p1472', ...)

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.