#81 ·
Heh... 😂
So, now that you’ve laid it all out so nicely, I can tell you exactly where you tripped up. You have an equation where expenses exceed income. Don't be surprised that you feel the need to muddy the waters by saying "the deficit is taken as negative"—it makes it look like you're working toward a loss in your total earnings. In fact, the profit you're seeing is essentially just the absolute value of the deficit. That isn't a coincidence.
Your third equation is wrong.
The correct equation is:
(3) sum(T) + Td = sum(P) + PP + X
You’re misrepresenting government spending (again with this "negative deficit" nonsense, which is actually a surplus):
(2) Td = PP + X
A deficit is a deficit. A positive number. $167 If the deficit -> x = 500. Government spending is the sum of taxes and the deficit. Taxes = $333, deficit = $167 => government spending = $500.
Now it's clear where (3) comes from... The exchange identity is:
(a) sum(P) = sum(T)
When you add (2) to that, you get (3)
Once you write it out properly, 4 is simply the sum of (1) and (2):
sum(T) + sum(Z) + Td - X = sum(P) + PP
Or:
sum(T) + sum(Z) + Td = sum(P) + PP + X
Subtracting 3 and 4 leaves us with:
sum(Z) = 0
Why sum(Z)—which is defined as: sum(P) - sum(T)—must result in 0? I'll leave that for you to figure out. I'll merely point out that you are starting from the exchange identity, where consumption -> sum(T) equals income -> sum(P). 😉
So, now that you’ve laid it all out so nicely, I can tell you exactly where you tripped up. You have an equation where expenses exceed income. Don't be surprised that you feel the need to muddy the waters by saying "the deficit is taken as negative"—it makes it look like you're working toward a loss in your total earnings. In fact, the profit you're seeing is essentially just the absolute value of the deficit. That isn't a coincidence.
Your third equation is wrong.
The correct equation is:
(3) sum(T) + Td = sum(P) + PP + X
You’re misrepresenting government spending (again with this "negative deficit" nonsense, which is actually a surplus):
(2) Td = PP + X
A deficit is a deficit. A positive number. $167 If the deficit -> x = 500. Government spending is the sum of taxes and the deficit. Taxes = $333, deficit = $167 => government spending = $500.
Now it's clear where (3) comes from... The exchange identity is:
(a) sum(P) = sum(T)
When you add (2) to that, you get (3)
Once you write it out properly, 4 is simply the sum of (1) and (2):
sum(T) + sum(Z) + Td - X = sum(P) + PP
Or:
sum(T) + sum(Z) + Td = sum(P) + PP + X
Subtracting 3 and 4 leaves us with:
sum(Z) = 0
Why sum(Z)—which is defined as: sum(P) - sum(T)—must result in 0? I'll leave that for you to figure out. I'll merely point out that you are starting from the exchange identity, where consumption -> sum(T) equals income -> sum(P). 😉