Context
Some questions on this site ask about the difference between "money printing" and "quantitative easing". I am experiencing some difficulties to understand what some of the answers practically mean. Hence, I thought I would try to interpret the definition given by Wikipedia, and ask where my misunderstanding comes from.
Assumptions
- The total amount of a currency is the sum of the physical money (e.g. coins and paper), and the amount of digital money of that currency.
- "Money printing" implies that the total amount of a currency, e.g. the dollar, increases.
Quantitative Easing interpretation
This Wikipedia page can be evaluated with 3 entities with in brackets their total amount of currency:
Central Bank ($ 300.000) and 200.000 in objects
Government ($ 600.000) and 100.000 in objects
All other beings ($ 100.000) and 300.000 in objects
Suppose they in total have a total amount of currency of $ 1.000.000,-
Then the definition says:
Quantitative easing (QE) is a monetary policy action whereby a central bank purchases government bonds or other financial assets in order to inject monetary reserves into the economy to stimulate economic activity.
So Central Bank buys for $ 20.000 of government bonds from Government. The total amount of currency now is:
Central Bank ($ 280.000) and 220.000 in objects
Government ($ 620.000) and 80.000 in objects
All other beings ($ 100.000) and 300.000 in objects
The example on the government bonds then follows with:
For example, a bondholder invests \$ 20.000 (called face value) into a 10-year government bond with a 10% annual coupon; the government would pay the bondholder 10% of the \$ 20,000 each year. At the maturity date the government would give back the original \$ 20,000.
From what I understand that after 1 year, the total amount of currency then is:
Central Bank ($ 282.000) and 220.000 in objects
Government ($ 618.000) and 80.000 in objects
All other beings ($ 100.000) and 300.000 in objects
and after 10 years of paying 10% interest, the government also pays off the debt, leading to:
Central Bank ($ 300.000+20.000 = 320.000) and 200.000 in objects
Government ($ 580.000) and 100.000 in objects
All other beings ($ 100.000) and 300.000 in objects
Notes
Even if the government gives out "apples worth \$ 10/kg" and sells it to the central bank for "\$ 20/kg", the central bank would only have a limited amount of money that they can spend on the apples, which would not increase the total amount of money. Since that is contradictory with the presented narratives/comparison to "money printing", I wondered: is the central bank able to "go in debt indefinitely"?.
Question
Based on what I have read I think I am forgetting something, or am misinterpreting this meaning, because otherwise, I do not see where the "extra money" comes from.
Where does the extra money come from in the above example of "quantitative easing"?/What is the mistake in this interpretation?