Skip to content

Commit

Permalink
[money_inflation] Spelling update
Browse files Browse the repository at this point in the history
- change 'take the form of what are' to 'take the form of what is'

- change 'qualitive outcome' to 'qualitative outcome'

- change 'it reverse the pervese' to 'it reverses the perverse'

- change 'theses tools' to 'these tools'

- change 'steady state rate' to 'steady-state rate' for consistency
  • Loading branch information
longye-tian committed Aug 8, 2024
1 parent a58133b commit bc428eb
Showing 1 changed file with 7 additions and 7 deletions.
14 changes: 7 additions & 7 deletions lectures/money_inflation.md
Original file line number Diff line number Diff line change
Expand Up @@ -35,7 +35,7 @@ Our model equates the demand for money to the supply at each time $t \geq 0$.
Equality between those demands and supply gives a *dynamic* model in which money supply
and price level *sequences* are simultaneously determined by a set of simultaneous linear equations.

These equations take the form of what are often called vector linear **difference equations**.
These equations take the form of what is often called vector linear **difference equations**.

In this lecture, we'll roll up our sleeves and solve those equations in two different ways.

Expand All @@ -49,19 +49,19 @@ In this lecture we will encounter these concepts from macroeconomics:
* perverse dynamics under rational expectations in which the system converges to the higher stationary inflation tax rate
* a peculiar comparative stationary-state outcome connected with that stationary inflation rate: it asserts that inflation can be *reduced* by running *higher* government deficits, i.e., by raising more resources by printing money.

The same qualitive outcomes prevail in this lecture {doc}`money_inflation_nonlinear` that studies a nonlinear version of the model in this lecture.
The same qualitative outcomes prevail in this lecture {doc}`money_inflation_nonlinear` that studies a nonlinear version of the model in this lecture.

These outcomes set the stage for the analysis to be presented in this lecture {doc}`laffer_adaptive` that studies a nonlinear version of the present model; it assumes a version of "adaptive expectations" instead of rational expectations.

That lecture will show that

* replacing rational expectations with adaptive expectations leaves the two stationary inflation rates unchanged, but that $\ldots$
* it reverse the pervese dynamics by making the *lower* stationary inflation rate the one to which the system typically converges
* it reverses the perverse dynamics by making the *lower* stationary inflation rate the one to which the system typically converges
* a more plausible comparative dynamic outcome emerges in which now inflation can be *reduced* by running *lower* government deficits

This outcome will be used to justify a selection of a stationary inflation rate that underlies the analysis of unpleasant monetarist arithmetic to be studies in this lecture {doc}`unpleasant`.
This outcome will be used to justify a selection of a stationary inflation rate that underlies the analysis of unpleasant monetarist arithmetic to be studied in this lecture {doc}`unpleasant`.

We'll use theses tools from linear algebra:
We'll use these tools from linear algebra:

* matrix multiplication
* matrix inversion
Expand Down Expand Up @@ -349,7 +349,7 @@ g2 = seign(msm.R_l, msm)
print(f'R_l, g_l = {msm.R_l:.4f}, {g2:.4f}')
```
Now let's compute the maximum steady-state amount of seigniorage that could be gathered by printing money and the state state rate of return on money that attains it.
Now let's compute the maximum steady-state amount of seigniorage that could be gathered by printing money and the state-state rate of return on money that attains it.
## Two computation strategies
Expand Down Expand Up @@ -950,7 +950,7 @@ Those dynamics are "perverse" not only in the sense that they imply that the mon
```{note}
The same qualitive outcomes prevail in this lecture {doc}`money_inflation_nonlinear` that studies a nonlinear version of the model in this lecture.
The same qualitative outcomes prevail in this lecture {doc}`money_inflation_nonlinear` that studies a nonlinear version of the model in this lecture.
```
Expand Down

0 comments on commit bc428eb

Please sign in to comment.