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@konsbn
Created August 19, 2020 04:01
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Modelling The Wealth Tax \n",
"## Or how not to be stupid\n",
"\n",
"I recently came across the article by Paul Graham on modelling a wealth tax. Where with simple mathematics of Geometric progression he makes the case against wealth tax because in about 60 years nearly half of your wealth will go to the big bad government. The thing is, while Paul Graham is a great computer programmer he is almost moronically ignorant of basic economics, which I hope to show in this notebook"
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"from tabulate import tabulate"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Assumptions\n",
"* Tax Rate - Varying from 1% - 5% of your wealth\n",
"* Growth Rate - Varying from 1% - 10% (Something Paul Graham \"Forgot\" even 10% for a \"Successful\" startup is pretty conservative"
]
},
{
"cell_type": "code",
"execution_count": 69,
"metadata": {},
"outputs": [],
"source": [
"wealth = 1.0\n",
"time = 60 #Years"
]
},
{
"cell_type": "code",
"execution_count": 70,
"metadata": {},
"outputs": [],
"source": [
"def grow(wealth : float, tax : float, growth : float, years : int) -> float:\n",
" return wealth*(1.0 + growth/100 - tax/100)**years"
]
},
{
"cell_type": "code",
"execution_count": 71,
"metadata": {},
"outputs": [],
"source": [
"years = range(time+1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Let's Try with a 10% Growth Rate"
]
},
{
"cell_type": "code",
"execution_count": 72,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"model_1 = {i : grow(wealth, 1, 10, i) for i in years}\n",
"model_2 = {i : grow(wealth, 2, 10, i) for i in years}\n",
"model_3 = {i : grow(wealth, 3, 10, i) for i in years}\n",
"model_4 = {i : grow(wealth, 4, 10, i) for i in years}\n",
"model_5 = {i : grow(wealth, 5, 10, i) for i in years}\n",
"\n",
"plt.figure(figsize=(10,7))\n",
"plt.title(\"Wealth vs Time as a function of Tax Rate\")\n",
"plt.plot(model_1.keys(), model_1.values(), label=\"Tax Rate : 1% \\n Growth : 10%\")\n",
"plt.plot(model_2.keys(), model_2.values(), label=\"Tax Rate : 2% \\n Growth : 10%\")\n",
"plt.plot(model_3.keys(), model_3.values(), label=\"Tax Rate : 3% \\n Growth : 10%\")\n",
"plt.plot(model_4.keys(), model_4.values(), label=\"Tax Rate : 4% \\n Growth : 10%\")\n",
"plt.plot(model_5.keys(), model_5.values(), label=\"Tax Rate : 5% \\n Growth : 10%\")\n",
"plt.xlabel(\"Time in Years\")\n",
"plt.ylabel(\"Wealth\")\n",
"plt.grid()\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Now with 5% Growth rate"
]
},
{
"cell_type": "code",
"execution_count": 73,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"model_1 = {i : grow(wealth, 1, 5, i) for i in years}\n",
"model_2 = {i : grow(wealth, 2, 5, i) for i in years}\n",
"model_3 = {i : grow(wealth, 3, 5, i) for i in years}\n",
"model_4 = {i : grow(wealth, 4, 5, i) for i in years}\n",
"model_5 = {i : grow(wealth, 5, 5, i) for i in years}\n",
"\n",
"plt.figure(figsize=(10,7))\n",
"plt.title(\"Wealth vs Time as a function of Tax Rate\")\n",
"plt.plot(model_1.keys(), model_1.values(), label=\"Tax Rate : 1% \\n Growth : 5%\")\n",
"plt.plot(model_2.keys(), model_2.values(), label=\"Tax Rate : 2% \\n Growth : 5%\")\n",
"plt.plot(model_3.keys(), model_3.values(), label=\"Tax Rate : 3% \\n Growth : 5%\")\n",
"plt.plot(model_4.keys(), model_4.values(), label=\"Tax Rate : 4% \\n Growth : 5%\")\n",
"plt.plot(model_5.keys(), model_5.values(), label=\"Tax Rate : 5% \\n Growth : 5%\")\n",
"plt.xlabel(\"Time in Years\")\n",
"plt.ylabel(\"Wealth\")\n",
"plt.grid()\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Now with 2% Growth Rate"
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"model_1 = {i : grow(wealth, 1, 2, i) for i in years}\n",
"model_2 = {i : grow(wealth, 2, 2, i) for i in years}\n",
"model_3 = {i : grow(wealth, 3, 2, i) for i in years}\n",
"model_4 = {i : grow(wealth, 4, 2, i) for i in years}\n",
"model_5 = {i : grow(wealth, 5, 2, i) for i in years}\n",
"\n",
"plt.figure(figsize=(10,7))\n",
"plt.title(\"Wealth vs Time as a function of Tax Rate\")\n",
"plt.plot(model_1.keys(), model_1.values(), label=\"Tax Rate : 1% \\n Growth : 2%\")\n",
"plt.plot(model_2.keys(), model_2.values(), label=\"Tax Rate : 2% \\n Growth : 2%\")\n",
"plt.plot(model_3.keys(), model_3.values(), label=\"Tax Rate : 3% \\n Growth : 2%\")\n",
"plt.plot(model_4.keys(), model_4.values(), label=\"Tax Rate : 4% \\n Growth : 2%\")\n",
"plt.plot(model_5.keys(), model_5.values(), label=\"Tax Rate : 5% \\n Growth : 2%\")\n",
"plt.xlabel(\"Time in Years\")\n",
"plt.ylabel(\"Wealth\")\n",
"plt.grid()\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Conclusions\n",
"I hope that the following things are clear from this very simple illustration\n",
"1. The Wealth Tax Fear is over-exaggerated\n",
"2. For even abysmal growth rates 1% -2% wealth tax *do not decrease* the wealth\n",
"3. No entrepreneur would give the advantages of the home country for something so marginal as a 1% wealth tax\n",
"\n",
"### Some other interesting points\n",
"* Wealth tax has been a feature of almost every modern economy in some way or the other and apocalypse hasn't happened yet.\n",
"* On the contrary a wealth tax can often help develop a country, increasing purchasing powers and thus leading to higher growth rates.\n",
"\n",
"### Historical Returns\n",
"* Amazon has on average > 20% return https://www.macrotrends.net/stocks/charts/AMZN/amazon/roi\n",
"* Return for eBay https://www.macrotrends.net/stocks/charts/EBAY/ebay/roi\n",
"* Returns for Google http://www.1stock1.com/1stock1_178.htm\n",
"* Returns for Facebook http://www.1stock1.com/1stock1_577.htm"
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@sidcool1234
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This is great! Hardcore math.

@developerfred
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Awesome!

@DavidGrinberg
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DavidGrinberg commented Aug 19, 2020

This would be a great read if it wasn't for the ad hominem attacks on Graham. You make good points, stick with them. Don't detract from your argument with silly remarks like "moronically ignorant"

@jahooma
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jahooma commented Aug 19, 2020

You didn't actually compare the two alternatives.

In one world you make 10% year over year with no wealth tax. In another you make 10% year over year with a 1% wealth tax.

After 60 years, you'd have almost twice as much wealth in the world with no wealth tax. Paul Graham is right.

From my perspective, billionaires use their capital many times more efficiently than government, so the wealth tax is inefficient before you even get to the decreased incentive to create value. (E.g. Bill Gates may be 100x or more efficient as the gov in saving lives, and so people like him pay for the billionaires who waste their money.)

See this great post for a defense of billionaire philanthropy: https://slatestarcodex.com/2019/07/29/against-against-billionaire-philanthropy/

Frankly this is a case where mainstream thought, led by anti-business journalists, is very wrong, and therefore dangerous. Cheers.

@konsbn
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konsbn commented Aug 19, 2020

You didn't actually compare the two alternatives.

In one world you make 10% year over year with no wealth tax. In another you make 10% year over year with a 1% wealth tax.

After 60 years, you'd have almost twice as much wealth in the world with no wealth tax. Paul Graham is right.

From my perspective, billionaires use their capital many times more efficiently than government, so the wealth tax is inefficient before you even get to the decreased incentive to create value. (E.g. Bill Gates may be 100x or more efficient as the gov in saving lives, and so people like him pay for the billionaires who waste their money.)

See this great post for a defense of billionaire philanthropy: https://slatestarcodex.com/2019/07/29/against-against-billionaire-philanthropy/

Frankly this is a case where mainstream thought, led by anti-business journalists, is very wrong, and therefore dangerous. Cheers.

Actually there is some good research that has been done on the "efficiency" of the private sector by very capitalist institutions like the World Bank and also UNDP who have looked at the empirical data on whether private enterprises show increased efficiency and they have found no such evidence for it. So your assertion that billionaires are much more efficient with their wealth is not substantiated by empirical evidence. I am attaching the links so that you may check for yourself.
World Bank Report
UNDP Report (PDF)

@srijanshetty
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From my perspective, billionaires use their capital many times more efficiently than government, so the wealth tax is inefficient before you even get to the decreased incentive to create value. (E.g. Bill Gates may be 100x or more efficient as the gov in saving lives, and so people like him pay for the billionaires who waste their money.)

There's no doubt that Bill Gates has done tremendous good in the world. That being said, your argument has a fundamental assumption that an oligarchy will be naturally inclined to do good in the world. History paints a spotty track-record for such an argument. I believe in democratic institutions. Yes, they aren't the most efficient allocators of capital but don't forget that the internet on which most modern billionaires created a fortune was developed by the government. Logistics was built on the transport infrastructure set up by the government through funding roads, satellites and modern communication were initially funded by the government as well.

Governments have shown exceptionalism in the past and we need a systematic rethink of how can we ensure that governments can be empowered to do the same again.

@jahooma
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jahooma commented Aug 19, 2020

konsbn, thank you for the links, they are interesting.

I agree there are limits for when business is more efficient. For example, pursuing profit could lead a water utility to skimp on filtering, and worsen the health of the people that drink the water. Or a factory could use coal because it is cheaper, and meanwhile the air pollution hurts communities in many ways. These are examples of negative externalities, where the business causes harm because incentives are not aligned.

These problems occur more frequently in developing countries (from your second link):

Though greater competition often improves efficiency,
it can also worsen it where institutions are weak. In some
transition economies, increased competition created
incentives for breaking contracts, thereby reducing
efficiency (Blanchard & Kremer, 1997).

I think of business like a game: make the most money possible, given these rules. If the laws are bad, or if the government is too weak to enforce them, the outcome can be bad. I think that's the common thread in your links. For example, when a company gains too much power and shuts down its rivals -- that's a monopoly, and it's not playing by the rules.

But when the environment is set up right, it works like magic, and pushes for innovation and efficiency, where there is no such incentive for government beyond representatives trying to get reelected.

srijanshetty -- I would agree with you, though I don't actually think we are close to an oligarchy. Money in politics actually has surprisingly little effect (e.g. see Bloomberg), so billionaires mainly pursue pet projects. The diversity of ways their money gets spent, especially on risky projects, is something mostly missing from government programs.

I would also like to see more great advances like the ones you mention come out of government, but it seems to me the incentive structure doesn't necessarily push for this in the way that business does. DARPA is a pretty good attempt though!

@jstnlef
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jstnlef commented Aug 19, 2020

I have a rebuttal.
https://gist.github.com/jstnlef/d3fc0fbc9f381db50e1ee143576ef198
Essentially, I believe that you are missing Paul Graham's point. In order to PAY for the wealth tax, you need to sell your ownership in the company. That's what he's trying to say.

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