After observing that zero taxes give the government zero and 100% taxes
make the incentive to work zero, the
curve shown was sketched.
Logically, somewhere between those extremes, the government
would maximize its revenue.
Reagan
trade-marked this thinking and
because taxes at the time were excessive, "trickle-down" worked
when he reduced them.
In a two-party system, political
combatants shout "more Reagan; more benefits"
or "trickle-down has been proven wrong".
Nobody acts as a referee pondering the curve at the top of the page.
These are study notes for an
Economics 101 refresher.
Embedded are "client side" slider programs:
12.34
Try changing tax rates below to explore what
"perturbation theory" reveals about the shape of the
Laffer Curve near measured 2024 conditions in Canada:
Currently ~20% of revenue is tax on corporations,
which are mobile. When companies leave, the
whole GDP is reduced
by the percent change in taxation times the
"%/% ratio" below.
Corporate Tax Companies show moderate %/% ratio. They
do business elsewhere when taxes are high.Rate [now ~25%/yr] Tax to SupplyWarning: elasticities are normally
X (supply) to Y (price). This is reversed.*** %/% ratio
Change in Supply:
nuval% of$2.241billion [$ttlb 2024].
One of the criticisms of the Laffer Curve above is that
it assumes only one tax rate. Canadian data shows that the low
50% of taxpayers earn ~30% of GDP, the middle 30% earn ~30%
and the top 20% earn ~40%. Their Federal + Provincial tax rates
are around 25%, 26% and 28%. Assume the Canadian 2024 Numbers
to get income tax revenue when you adjust these rates:
12.34 12.34 12.34
Total revenue:
$1234 [$599.9Billion 2024].
Assume Taken from the 22% of GDP
that is non-mortgage investment. See estimate under
"Savings=Investment" below.supply is influenced 22% by savings/capital, which is
unevenly distributed; 0% saved by the bottom third,
20% by the middle third and 80% by the top third:
Investment Investors show high ratio, meaning they
find off-shore alternatives when taxes are high.%/% ratio Tax revenue reactions
[0.1234]
[1.234]
[2.34]; total
$ttlbillion.
Assume Taken from the 55% of GDP
that is consumer expense.demand is influenced 55% by labor; impacted by the resulting
reduction in take-home pay due to taxes:
Labor If over 10%, people hate taxes and
"work under the table".
Low ratio means tolerating taxes.%/% ratio Tax revenue reactions
[0.1234]
[1.234]
[2.34]; total
$ttlbillion.
Rough Notes
GDP equals the economy's total income, $2.241Trillion is distributed over31.814million
returns and22.5 million households:
GDP is also the sum C + I + G + NX
Consumer spending,C = 55%; households buy Examples include clothing/furniture, food, and health care.goods, and services.
Investment, I = 21%; Examples include machinery, unsold products, and housing.capital equipment, inventories, and structures.
Government Spending,G = 23%; all levels buying Examples include naval ships and salaries to government employees. goods and services.
Net exports, NX: production exported minus goods/services imported.
Revenue for the Canadian federal government, 2022-2023:
Personal Income Tax: 46.4%,
Corporate Income Tax: 21.0%,
Non-Resident Income Tax: 2.9%,
Other: (GST, energy taxes, etc.) 29.5%,
Muliplier for income taxes = 2.1552
In 2024, total revenues administered by CRA
for provincial and territorial governments and
First Nations were $180,586 million,
Ontario 11.5% corporate tax rate.
Approximately one-third of households rent their homes; around 5 million households.
Total household net worth Canada was $17.49 trillion 2024,
averaging $1.025 million over 17.1 million households.
The top 20% average $3.3 million each and the bottom 40%
average $84,600.
OAS program expenditures are about 2.68% of Canadian GDP in 2023.
The total paid out by the CPP was $56.0 billion; 2.50% of GDP.
The Alberta Heritage Fund market value: $30 billion 2025.
TSX & TSXV had 1,798 listed issuers 2023; market cap $4.23 trillion.
Variables above have an "elasticity" slider.
which selects the percent response of the effect variable
for a percent change in the cause variable.
This is called a
purturbation method, and the starting
point is simplified data from Canada, 2024.
In an economy, every variable interacts with every
other variable in multiple feedback loops, each of
which generates an infinite series solution.
This model substitutes a single pass through
a few variables, approximating what governments
can change in a year's time.
Underlying Algorithm: a In actual fact every variable interacts with every
other variable with an infinite series solution. Complex System. This demo does a single pass through the above
variables, starting with the effect of changing corporate
rax rate.Approximated.
GDP, the Canadian economy's total income, was $ Trillion in 2024 and gets stored in GDPvalOrig.
The CPP fund already pays out disability pensions, and
GST pays low-income households $589 plus $231 per minor.
GST only transfers funds between consumers
(demand-side)
whereas the CPP plan holds capital that works
supply-side
while paying dividends and interest and keeping ahead of inflation.
The holdings of the plan are large and well-managed (unlike many
others) and could be used to both provide capital for the overall
economy and increase GST payouts without taxing consupmption.
(This counteracts the trope that "anything the government gets its
hands on gets spent and is taken out of the economy's overall
source of capital").
Another selling-point is that consumption would be boosted, benefiting
corporate profits. (That would be "trickle up" instead of down.)
Trickle Up is located on the LHS of the Laffer Curve, and in
Reagan's time the US economy was on the RHS.
Thus Trickle Down worked.
Soon labor will be displaced by AI et.al. and consumption will drop;
shifting everybody to the LHS.
One major challenge is to persuade Fiscal Conservatives that times
have changed and implenting even more Reaganomics is not justified.