You signed in with another tab or window. Reload to refresh your session.You signed out in another tab or window. Reload to refresh your session.You switched accounts on another tab or window. Reload to refresh your session.Dismiss alert
Copy file name to clipboardExpand all lines: lectures/unpleasant.md
+19-19Lines changed: 19 additions & 19 deletions
Original file line number
Diff line number
Diff line change
@@ -16,7 +16,7 @@ kernelspec:
16
16
## Overview
17
17
18
18
19
-
This lecture builds on concepts and issues introduced in our lecture on **Money Supplies and Price Levels**.
19
+
This lecture builds on concepts and issues introduced in {doc}`money_inflation`.
20
20
21
21
That lecture describes stationary equilibria that reveal a [*Laffer curve*](https://en.wikipedia.org/wiki/Laffer_curve) in the inflation tax rate and the associated stationary rate of return
22
22
on currency.
@@ -34,20 +34,18 @@ The critical **money-to-bonds** ratio stabilizes only at time $T$ and afterwards
34
34
And the larger is $T$, the higher is the gross-of-interest government deficit that must be financed
35
35
by printing money at times $t \geq T$.
36
36
37
-
These outcomes are the essential finding of Sargent and Wallace's **unpleasant monetarist arithmetic** {cite}`sargent1981`.
38
-
39
-
**Reader's Guide:** Please read our lecture on Money Supplies and Price levels before diving into this lecture.
37
+
These outcomes are the essential finding of Sargent and Wallace's "unpleasant monetarist arithmetic" {cite}`sargent1981`.
40
38
41
39
That lecture described supplies and demands for money that appear in lecture.
42
40
43
41
It also characterized the steady state equilibrium from which we work backwards in this lecture.
44
42
45
-
In addition to learning about ''unpleasant monetarist arithmetic", in this lecture we'll learn how to implement a **fixed point** algorithm for computing an initial price level.
43
+
In addition to learning about "unpleasant monetarist arithmetic", in this lecture we'll learn how to implement a [*fixed point*](https://en.wikipedia.org/wiki/Fixed_point_(mathematics)) algorithm for computing an initial price level.
46
44
47
45
48
46
## Setup
49
47
50
-
Let's start with quick reminders of the model's components set out in our lecture on **Money Supplies and Price Levels**.
48
+
Let's start with quick reminders of the model's components set out in {doc}`money_inflation`.
51
49
52
50
Please consult that lecture for more details and Python code that we'll also use in this lecture.
53
51
@@ -79,7 +77,7 @@ where $\gamma_1 > \gamma_2 > 0$.
79
77
80
78
## Monetary-Fiscal Policy
81
79
82
-
To the basic model of our lecture on **Money Supplies and Price Levels**, we add inflation-indexed one-period government bonds as an additional way for the government to finance government expenditures.
80
+
To the basic model of {doc}`money_inflation`, we add inflation-indexed one-period government bonds as an additional way for the government to finance government expenditures.
83
81
84
82
Let $\widetilde R > 1$ be a time-invariant gross real rate of return on government one-period inflation-indexed bonds.
This equation says that the government (e.g., the central bank) can *decrease* $m_0$ relative to
115
113
$\check m_0$ by *increasing* $B_{-1}$ relative to $\check B_{-1}$.
116
114
117
-
This is a version of a standard constraint on a central bank's **open market operations** in which it expands the stock of money by buying government bonds from the public.
115
+
This is a version of a standard constraint on a central bank's [**open market operations**](https://www.federalreserve.gov/monetarypolicy/openmarket.htm) in which it expands the stock of money by buying government bonds from the public.
118
116
119
117
## An open market operation at $t=0$
120
118
121
-
Following Sargent and Wallace (1981), we analyze consequences of a central bank policy that
119
+
Following Sargent and Wallace {cite}`sargent1981`, we analyze consequences of a central bank policy that
122
120
uses an open market operation to lower the price level in the face of a persistent fiscal
where $\theta \in [0,1)$ is a relaxation parameter.
301
-
300
+
```
302
301
303
302
## Example Calculations
304
303
@@ -318,7 +317,7 @@ That leaves the public with less currency but more government interest-bearing b
318
317
319
318
Since the public has less currency (it's supply has diminished) it is plausible to anticipate that the price level at time $0$ will be driven downward.
320
319
321
-
But that is not the end of the story, because this ''open market operation'' at time $0$ has consequences for future settings of $m_{t+1}$ and the gross-of-interest government deficit $\bar g_t$.
320
+
But that is not the end of the story, because this **open market operation** at time $0$ has consequences for future settings of $m_{t+1}$ and the gross-of-interest government deficit $\bar g_t$.
322
321
323
322
324
323
Let's start with some imports:
@@ -329,7 +328,7 @@ import matplotlib.pyplot as plt
329
328
from collections import namedtuple
330
329
```
331
330
332
-
Now let's dive in and implement our ''pseudo code'' in Python.
331
+
Now let's dive in and implement our pseudo code in Python.
0 commit comments