{ "cells": [ { "cell_type": "markdown", "id": "featured-windsor", "metadata": {}, "source": [ "## Introduction: Keynes, Friedman, Modigliani\n", "\n", "[![badge](https://img.shields.io/badge/Launch%20using%20-Econ--ARK-blue)](https://econ-ark.org/materials/keynesfriedmanmodigliani#launch)" ] }, { "cell_type": "code", "execution_count": 1, "id": "suitable-bumper", "metadata": {}, "outputs": [], "source": [ "# Some initial setup\n", "from HARK.ConsumptionSaving.ConsIndShockModel import PerfForesightConsumerType\n", "import pandas_datareader.data as web\n", "import statsmodels.formula.api as sm\n", "import scipy.stats as stats\n", "import datetime as dt\n", "import pandas as pd\n", "from matplotlib import pyplot as plt\n", "import numpy as np\n", "\n", "plt.style.use(\"seaborn-v0_8-darkgrid\")\n", "palette = plt.get_cmap(\"Dark2\")\n", "\n", "\n", "pd.core.common.is_list_like = pd.api.types.is_list_like" ] }, { "cell_type": "markdown", "id": "arctic-greece", "metadata": {}, "source": [ "### 1. The Keynesian consumption function\n", "\n", "Keynes:\n", "1. \"The amount of aggregate consumption mainly depends on the amount of aggregate income.\"\n", "1. It is a \"fundamental psychological rule ... that when ... real income increases ... consumption [will increase], but by less than the increase in income.\"\n", "1. More generally, \"as a rule, a greater proportion of income ... is saved as real income increases.\"\n", "\n", "This can be formalized as:\n", "\n", "$\n", "\\begin{eqnarray}\n", "c_t & = & a_0 + a_{1}y_t\n", "\\\\ c_t - c_{t-1} & = & a_{1}(y_t - y_{t-1})\n", "\\end{eqnarray}\n", "$\n", "\n", "for $a_0 > 0, a_1 < 1$\n" ] }, { "cell_type": "markdown", "id": "early-clock", "metadata": {}, "source": [ "#### The Keynesian Consumption Function" ] }, { "cell_type": "code", "execution_count": 2, "id": "metropolitan-multiple", "metadata": {}, "outputs": [], "source": [ "class KeynesianConsumer:\n", " \"\"\"\n", " This class represents consumers that behave according to a\n", " Keynesian consumption function, representing them as a\n", " special case of HARK's PerfForesightConsumerType\n", "\n", " Methods:\n", " - cFunc: computes consumption/permanent income\n", " given total income/permanent income.\n", " \"\"\"\n", "\n", " def __init__(self):\n", " Keynesian = (\n", " PerfForesightConsumerType()\n", " ) # set up a consumer type and use default parameteres\n", " Keynesian.cycles = 0 # Make this type have an infinite horizon\n", " Keynesian.DiscFac = 0.05\n", " Keynesian.PermGroFac = [0.7]\n", "\n", " Keynesian.solve() # solve the consumer's problem\n", " Keynesian.unpack(\"cFunc\") # unpack the consumption function\n", "\n", " self.cFunc = Keynesian.solution[0].cFunc\n", " self.a0 = self.cFunc(0)\n", " self.a1 = self.cFunc(1) - self.cFunc(0)" ] }, { "cell_type": "code", "execution_count": 3, "id": "positive-revision", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot cFunc(Y)=Y against the Keynesian consumption function\n", "# Deaton-Friedman consumption function is a special case of perfect foresight model\n", "\n", "# We first create a Keynesian consumer\n", "KeynesianExample = KeynesianConsumer()\n", "\n", "# and then plot its consumption function\n", "income = np.linspace(0, 30, 20) # pick some income points\n", "plt.figure(figsize=(9, 6))\n", "plt.plot(\n", " income, KeynesianExample.cFunc(income), label=\"Consumption function\"\n", ") # plot income versus the consumption\n", "plt.plot(income, income, \"k--\", label=\"C=Y\")\n", "plt.title(\"Consumption function\")\n", "plt.xlabel(\"Income (y)\")\n", "plt.ylabel(\"Normalized Consumption (c)\")\n", "plt.ylim(0, 20)\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "id": "reliable-active", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "a_0 is 1.66\n", "a_1 is 0.78\n" ] } ], "source": [ "# This looks like the first of the three equations, consumption as a linear function of income!\n", "# This means that even in a microfounded model (that HARK provides), the consumption function can match Keynes reduced form\n", "# prediction (given the right parameterization).\n", "\n", "# We can even find a_0 and a_1\n", "a_0 = KeynesianExample.a0\n", "a_1 = KeynesianExample.a1\n", "print(\"a_0 is {:.2f}\".format(a_0))\n", "print(\"a_1 is {:.2f}\".format(a_1))" ] }, { "cell_type": "markdown", "id": "artificial-mountain", "metadata": {}, "source": [ "#### The Keynesian consumption function: Evidence" ] }, { "cell_type": "markdown", "id": "opened-heading", "metadata": {}, "source": [ "Aggregate Data:\n", "\n", "Long-term time-series estimates: $a_0$ close to zero, $a_1$ close to 1 (saving rate stable over time - Kuznets).
\n", "Short-term aggregate time-series estimates of change in consumption on change in income find $a_1 << 1$.
\n", "$c_t = a_0 + a_{1}y_t + a_{2}c_{t-1}$ finds significant $a_2$, near 1." ] }, { "cell_type": "code", "execution_count": 5, "id": "likely-secret", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a_0 is -161.03\n", "a_1 is 0.92\n" ] } ], "source": [ "# Lets have a look at some aggregate data\n", "\n", "sdt = dt.datetime(1990, 1, 1) # set startdate\n", "edt = dt.datetime(2020, 1, 1) # set end date\n", "df = web.DataReader(\n", " [\"PCECC96\", \"DPIC96\"], \"fred\", sdt, edt\n", ") # import the data from Fred\n", "# Plot the data\n", "plt.figure(figsize=(9, 6))\n", "plt.plot(df.DPIC96, df.PCECC96, \"go\", markersize=3.0, label=\"Data\")\n", "slope, intercept, r_value, p_value, std_err = stats.linregress(df.DPIC96, df.PCECC96)\n", "plt.plot(df.DPIC96, intercept + slope * df.DPIC96, \"k-\", label=\"Line of best fit\")\n", "plt.plot(df.DPIC96, df.DPIC96, \"k--\", label=\"C=Y\")\n", "plt.xlabel(\"Income (y)\")\n", "plt.ylabel(\"Consumption (c)\")\n", "plt.legend()\n", "plt.show()\n", "\n", "print(\"a_0 is {:.2f}\".format(intercept))\n", "print(\"a_1 is {:.2f}\".format(slope))" ] }, { "cell_type": "code", "execution_count": 6, "id": "absolute-delhi", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Consumption (c)')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# However, our consumption data is [non-stationary](https://www.reed.edu/economics/parker/312/tschapters/S13_Ch_4.pdf) and this drives the previous\n", "# estimate.\n", "df.DPIC96.plot()\n", "plt.xlabel(\"Date\")\n", "plt.ylabel(\"Consumption (c)\")" ] }, { "cell_type": "code", "execution_count": 7, "id": "sharp-cambodia", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a_1 is 0.09\n" ] } ], "source": [ "# Lets use our second equation to try to find an estimate of a_1\n", "\n", "df_diff = df.diff() # create dataframe of differenced values\n", "\n", "# Plot the data\n", "plt.figure(figsize=(9, 6))\n", "plt.plot(df_diff.DPIC96, df_diff.PCECC96, \"go\", markersize=3.0, label=\"Data\")\n", "slope, intercept, r_value, p_value, std_err = stats.linregress(\n", " df_diff.DPIC96[1:], df_diff.PCECC96[1:]\n", ") # find line of best fit\n", "plt.plot(\n", " df_diff.DPIC96[1:],\n", " intercept + slope * df_diff.DPIC96[1:],\n", " \"k-\",\n", " label=\"Line of best fit\",\n", ")\n", "plt.plot(np.array([-200, 200]), np.array([-200, 200]), \"k--\", label=\"C=Y\")\n", "plt.xlabel(\"Change in income (dy)\")\n", "plt.ylabel(\"Change in consumption (dc)\")\n", "plt.legend()\n", "plt.show()\n", "\n", "print(\"a_1 is {:.2f}\".format(slope))" ] }, { "cell_type": "markdown", "id": "metallic-brunswick", "metadata": {}, "source": [ "a_1 is now much lower, as we expected" ] }, { "cell_type": "markdown", "id": "usual-lemon", "metadata": {}, "source": [ "### Household Data:\n", "\n", "Cross-section plots of consumption and income: very large and significant $a_0$, $a_1$ maybe 0.5.
\n", "\n", "Further facts:\n", "1. Black households save more than whites at a given income level.
\n", "0. By income group:\n", " * low-income: Implausibly large dissaving (spend 2 or 3 times income)\n", " * high-income: Remarkably high saving" ] }, { "cell_type": "markdown", "id": "allied-microphone", "metadata": {}, "source": [ "### 2. Duesenberry" ] }, { "cell_type": "markdown", "id": "endless-adelaide", "metadata": {}, "source": [ "Habit formation may explain why $c_{t-1}$ affects $c_t$.
\n", "Relative Income Hypothesis suggests that you compare your consumption to consumption of ‘peers’.
\n", "May explain high saving rates of Black HHs.
\n", "\n", "Problems with Duesenberry:
\n", "No budget constraint
\n", "No serious treatment of intertemporal nature of saving" ] }, { "cell_type": "markdown", "id": "destroyed-greensboro", "metadata": {}, "source": [ "#### Dusenberry: Evidence" ] }, { "cell_type": "code", "execution_count": 8, "id": "classical-cache", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
OLS Regression Results
Dep. Variable: cons R-squared: 0.999
Model: OLS Adj. R-squared: 0.999
Method: Least Squares F-statistic: 1.077e+05
Date: Fri, 24 Nov 2023 Prob (F-statistic): 9.79e-192
Time: 15:13:33 Log-Likelihood: -647.10
No. Observations: 120 AIC: 1300.
Df Residuals: 117 BIC: 1309.
Df Model: 2
Covariance Type: nonrobust
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
coef std err t P>|t| [0.025 0.975]
Intercept 60.8197 23.704 2.566 0.012 13.876 107.764
inc 0.0105 0.028 0.369 0.713 -0.046 0.067
cons_m1 0.9885 0.031 32.110 0.000 0.928 1.050
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Omnibus: 66.409 Durbin-Watson: 1.101
Prob(Omnibus): 0.000 Jarque-Bera (JB): 342.099
Skew: -1.851 Prob(JB): 5.18e-75
Kurtosis: 10.397 Cond. No. 7.43e+04


Notes:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.
[2] The condition number is large, 7.43e+04. This might indicate that there are
strong multicollinearity or other numerical problems." ], "text/latex": [ "\\begin{center}\n", "\\begin{tabular}{lclc}\n", "\\toprule\n", "\\textbf{Dep. Variable:} & cons & \\textbf{ R-squared: } & 0.999 \\\\\n", "\\textbf{Model:} & OLS & \\textbf{ Adj. R-squared: } & 0.999 \\\\\n", "\\textbf{Method:} & Least Squares & \\textbf{ F-statistic: } & 1.077e+05 \\\\\n", "\\textbf{Date:} & Fri, 24 Nov 2023 & \\textbf{ Prob (F-statistic):} & 9.79e-192 \\\\\n", "\\textbf{Time:} & 15:13:33 & \\textbf{ Log-Likelihood: } & -647.10 \\\\\n", "\\textbf{No. Observations:} & 120 & \\textbf{ AIC: } & 1300. \\\\\n", "\\textbf{Df Residuals:} & 117 & \\textbf{ BIC: } & 1309. \\\\\n", "\\textbf{Df Model:} & 2 & \\textbf{ } & \\\\\n", "\\textbf{Covariance Type:} & nonrobust & \\textbf{ } & \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "\\begin{tabular}{lcccccc}\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{t} & \\textbf{P$> |$t$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{Intercept} & 60.8197 & 23.704 & 2.566 & 0.012 & 13.876 & 107.764 \\\\\n", "\\textbf{inc} & 0.0105 & 0.028 & 0.369 & 0.713 & -0.046 & 0.067 \\\\\n", "\\textbf{cons\\_m1} & 0.9885 & 0.031 & 32.110 & 0.000 & 0.928 & 1.050 \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "\\begin{tabular}{lclc}\n", "\\textbf{Omnibus:} & 66.409 & \\textbf{ Durbin-Watson: } & 1.101 \\\\\n", "\\textbf{Prob(Omnibus):} & 0.000 & \\textbf{ Jarque-Bera (JB): } & 342.099 \\\\\n", "\\textbf{Skew:} & -1.851 & \\textbf{ Prob(JB): } & 5.18e-75 \\\\\n", "\\textbf{Kurtosis:} & 10.397 & \\textbf{ Cond. No. } & 7.43e+04 \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "%\\caption{OLS Regression Results}\n", "\\end{center}\n", "\n", "Notes: \\newline\n", " [1] Standard Errors assume that the covariance matrix of the errors is correctly specified. \\newline\n", " [2] The condition number is large, 7.43e+04. This might indicate that there are \\newline\n", " strong multicollinearity or other numerical problems." ], "text/plain": [ "\n", "\"\"\"\n", " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: cons R-squared: 0.999\n", "Model: OLS Adj. R-squared: 0.999\n", "Method: Least Squares F-statistic: 1.077e+05\n", "Date: Fri, 24 Nov 2023 Prob (F-statistic): 9.79e-192\n", "Time: 15:13:33 Log-Likelihood: -647.10\n", "No. Observations: 120 AIC: 1300.\n", "Df Residuals: 117 BIC: 1309.\n", "Df Model: 2 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 60.8197 23.704 2.566 0.012 13.876 107.764\n", "inc 0.0105 0.028 0.369 0.713 -0.046 0.067\n", "cons_m1 0.9885 0.031 32.110 0.000 0.928 1.050\n", "==============================================================================\n", "Omnibus: 66.409 Durbin-Watson: 1.101\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 342.099\n", "Skew: -1.851 Prob(JB): 5.18e-75\n", "Kurtosis: 10.397 Cond. No. 7.43e+04\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 7.43e+04. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "\"\"\"" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Even if we control for income, past consumption seems to be significantly related to current consumption\n", "\n", "df_habit = df.copy()\n", "df_habit.columns = [\"cons\", \"inc\"]\n", "df_habit[\"cons_m1\"] = df.PCECC96.shift()\n", "df_habit.dropna()\n", "\n", "result = sm.ols(formula=\"cons ~ inc + cons_m1\", data=df_habit.dropna()).fit()\n", "result.summary()" ] }, { "cell_type": "code", "execution_count": 9, "id": "upper-dispute", "metadata": {}, "outputs": [], "source": [ "# The coefficient on lagged consumption is very significant.\n", "# But regression may be statistically problematic for the usual [non-stationarity](https://towardsdatascience.com/stationarity-in-time-series-analysis-90c94f27322) reasons." ] }, { "cell_type": "markdown", "id": "demographic-porcelain", "metadata": {}, "source": [ "### 3. Friedman's Permanent Income Hypothesis" ] }, { "cell_type": "markdown", "id": "opened-resort", "metadata": {}, "source": [ "$$c = p + u$$\n", "$$y = p + v$$\n", "\n", "We can try to test this theory across households. If we run a regression of the form:\n", "$$c_i = a_0 + a_{1}y_{i} + u_{i}$$\n", "\n", "And if Friedman is correct, and the \"true\" coefficient on permanent income $p$ is 1, then the coefficient on $y$ will be:\n", "$$a_1 = \\frac{s^2_{p}}{(s^2_{v} + s^2_{p})}$$" ] }, { "cell_type": "markdown", "id": "atlantic-command", "metadata": {}, "source": [ "#### Friedman's Permanent Income Hypothesis\n", "\n", "We begin by creating a class that class implements the Friedman PIH consumption function as a special case of the [Perfect Foresight CRRA](http://www.econ2.jhu.edu/people/ccarroll/courses/choice/lecturenotes/consumption/PerfForesightCRRA) model.\n", "\n", "As discussed in the lecture notes, it is often convenient to represent this type of models in variables that are normalized by permanent income. That is the case for the [HARK](https://github.com/econ-ark/HARK/) tools that we use below in the definition of our consumer. Therefore, the consumption function will expect\n", "\\begin{equation*}\n", "y_{i,t} = \\frac{Y_{i,t}}{P_{i,t}}\n", "\\end{equation*}\n", "and compute\n", "\\begin{equation*}\n", "c_{i,t} = \\frac{C_{i,t}}{P_{i,t}}.\n", "\\end{equation*}\n", "\n", "Therefore, to find consumption at a total level of income $Y$, we will use $\\texttt{P} \\times \\texttt{cFunc(Y/P)}$." ] }, { "cell_type": "code", "execution_count": 10, "id": "little-scenario", "metadata": {}, "outputs": [], "source": [ "class FriedmanPIHConsumer:\n", " \"\"\"\n", " This class represents consumers that behave according to\n", " Friedman's permanent income hypothesis, representing them as a\n", " special case of HARK's PerfForesightConsumerType\n", "\n", " Methods:\n", " - cFunc: computes consumption/permanent income\n", " given total income/permanent income.\n", " \"\"\"\n", "\n", " def __init__(self, Rfree=1.001, CRRA=2):\n", " FriedmanPIH = (\n", " PerfForesightConsumerType()\n", " ) # set up a consumer type and use default parameteres\n", " FriedmanPIH.cycles = 0 # Make this type have an infinite horizon\n", " FriedmanPIH.DiscFac = 1 / Rfree\n", " FriedmanPIH.Rfree = Rfree\n", " FriedmanPIH.LivPrb = [1.0]\n", " FriedmanPIH.PermGroFac = [1.0]\n", " FriedmanPIH.CRRA = CRRA\n", " FriedmanPIH.solve() # solve the consumer's problem\n", " FriedmanPIH.unpack(\"cFunc\") # unpack the consumption function\n", "\n", " self.cFunc = FriedmanPIH.solution[0].cFunc" ] }, { "cell_type": "markdown", "id": "smoking-alaska", "metadata": {}, "source": [ "Now, think of a consumer that has a permanent income of 1. What will be his consumption at different levels of total observed income?" ] }, { "cell_type": "code", "execution_count": 11, "id": "lucky-great", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# We can now create a PIH consumer\n", "PIHexample = FriedmanPIHConsumer()\n", "\n", "# Plot the perfect foresight consumption function\n", "income = np.linspace(0, 10, 20) # pick some income points\n", "plt.figure(figsize=(9, 6))\n", "plt.plot(\n", " income, PIHexample.cFunc(income), label=\"Consumption function\"\n", ") # plot income versus the consumption\n", "plt.plot(income, income, \"k--\", label=\"C=Y\")\n", "plt.title(\"Consumption function\")\n", "plt.xlabel(\"Normalized Income (y)\")\n", "plt.ylabel(\"Normalized Consumption (c)\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "center-camel", "metadata": {}, "source": [ "We can see that regardless of the income our agent receives, they consume their permanent income, which is normalized to 1." ] }, { "cell_type": "markdown", "id": "human-version", "metadata": {}, "source": [ "We can also draw out some implications of the PIH that we can then test with evidence\n", "\n", "If we look at HH's who have very similar permanent incomes, we should get a small estimate of $a_1$, because $s^2_v$ is large relative to $s^2_p$.\n", "\n", "Lets simulate this using our consumer." ] }, { "cell_type": "code", "execution_count": 12, "id": "frequent-affair", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a_0 is 0.28\n", "a_1 is 0.48\n" ] } ], "source": [ "# Permanent income has the same variance\n", "# as transitory income.\n", "\n", "perm_inc = np.random.normal(1.0, 0.1, 200)\n", "trans_inc = np.random.normal(0.5, 0.1, 200)\n", "\n", "total_inc = perm_inc + trans_inc\n", "\n", "slope, intercept, r_value, p_value, std_err = stats.linregress(\n", " total_inc, PIHexample.cFunc(total_inc / perm_inc) * perm_inc\n", ")\n", "\n", "plt.figure(figsize=(9, 6))\n", "plt.plot(\n", " total_inc, PIHexample.cFunc(total_inc) * perm_inc, \"go\", label=\"Simulated data\"\n", ")\n", "plt.plot(total_inc, intercept + slope * total_inc, \"k-\", label=\"Line of best fit\")\n", "plt.plot(np.linspace(1, 2, 5), np.linspace(1, 2, 5), \"k--\", label=\"C=Y\")\n", "plt.xlabel(\"Income (y)\")\n", "plt.ylabel(\"Consumption (c)\")\n", "plt.legend()\n", "plt.ylim(0, 2)\n", "plt.xlim(1.1, 1.9)\n", "plt.show()\n", "\n", "print(\"a_0 is {:.2f}\".format(intercept))\n", "print(\"a_1 is {:.2f}\".format(slope))" ] }, { "cell_type": "code", "execution_count": 13, "id": "advised-pressing", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a_0 is -0.43\n", "a_1 is 0.95\n" ] } ], "source": [ "# Permanent income with higher variance\n", "\n", "perm_inc = np.random.normal(1.0, 0.5, 200)\n", "trans_inc = np.random.normal(0.5, 0.1, 200)\n", "\n", "total_inc = perm_inc + trans_inc\n", "\n", "slope, intercept, r_value, p_value, std_err = stats.linregress(\n", " total_inc, PIHexample.cFunc(total_inc / perm_inc) * perm_inc\n", ")\n", "\n", "plt.figure(figsize=(9, 6))\n", "plt.plot(\n", " total_inc, PIHexample.cFunc(total_inc) * perm_inc, \"go\", label=\"Simulated data\"\n", ")\n", "plt.plot(total_inc, intercept + slope * total_inc, \"k-\", label=\"Line of best fit\")\n", "plt.plot(np.linspace(0, 2, 5), np.linspace(0, 2, 5), \"k--\", label=\"C=Y\")\n", "plt.xlabel(\"Income (y)\")\n", "plt.ylabel(\"Consumption (c)\")\n", "plt.legend()\n", "plt.ylim(0, 2)\n", "plt.show()\n", "\n", "print(\"a_0 is {:.2f}\".format(intercept))\n", "print(\"a_1 is {:.2f}\".format(slope))" ] }, { "cell_type": "markdown", "id": "according-system", "metadata": {}, "source": [ "We can see that as we increase the variance of permanent income, the estimate of a_1 rises" ] }, { "cell_type": "markdown", "id": "employed-pathology", "metadata": {}, "source": [ "#### Friedman's Permanent Income Hypothesis: Evidence" ] }, { "cell_type": "markdown", "id": "mathematical-borough", "metadata": {}, "source": [ "We can now consider the empirical evidence for the claims our model made about the PIH.\n", "\n", "If we take a long time series, then the differences in permanent income should be the main driver of the variance in total income. This implies that a_1 should be high.\n", "\n", "If we take higher frequency time series (or cross sectional data), transitory shocks should dominate, and our estimate of a_1 should be lower.\n", "\n", "Consider quarterly differences first:" ] }, { "cell_type": "code", "execution_count": 14, "id": "racial-teach", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a_1 is 0.09\n" ] } ], "source": [ "# Lets use the data from FRED that we used before.\n", "\n", "# Using quarterly data (copying from above), we had:\n", "\n", "plt.figure(figsize=(9, 6))\n", "plt.plot(df_diff.DPIC96, df_diff.PCECC96, \"go\", markersize=3.0, label=\"Data\")\n", "slope, intercept, r_value, p_value, std_err = stats.linregress(\n", " df_diff.DPIC96[1:], df_diff.PCECC96[1:]\n", ") # find line of best fit\n", "plt.plot(\n", " df_diff.DPIC96[1:],\n", " intercept + slope * df_diff.DPIC96[1:],\n", " \"k-\",\n", " label=\"Line of best fit\",\n", ")\n", "plt.plot(np.array([-200, 200]), np.array([-200, 200]), \"k--\", label=\"C=Y\")\n", "plt.xlabel(\"Change in income (dy)\")\n", "plt.ylabel(\"Change in consumption (dc)\")\n", "plt.legend()\n", "plt.show()\n", "\n", "print(\"a_1 is {:.2f}\".format(slope))" ] }, { "cell_type": "markdown", "id": "likely-trunk", "metadata": {}, "source": [ "And now consider longer time differences, 20 quarters for instance, where the changes in permanent income should dominate transitory effects" ] }, { "cell_type": "code", "execution_count": 15, "id": "resistant-scroll", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a_0 is 44.88\n", "a_1 is 0.89\n" ] } ], "source": [ "# Using longer differences\n", "df_diff_long = df.diff(periods=20) # create dataframe of differenced values\n", "df_diff_long.columns = [\"cons\", \"inc\"]\n", "\n", "plt.figure(figsize=(9, 6))\n", "plt.plot(df_diff_long.inc, df_diff_long.cons, \"go\", label=\"Data\")\n", "slope, intercept, r_value, p_value, std_err = stats.linregress(\n", " df_diff_long.inc[20:], df_diff_long.cons[20:]\n", ") # find line of best fit\n", "plt.plot(\n", " df_diff_long.inc[1:],\n", " intercept + slope * df_diff_long.inc[1:],\n", " \"k-\",\n", " label=\"Line of best fit\",\n", ")\n", "plt.plot(np.linspace(-100, 2000, 3), np.linspace(-100, 2000, 3), \"k--\", label=\"C=Y\")\n", "plt.legend()\n", "plt.xlabel(\"Change in income (dy)\")\n", "plt.ylabel(\"Change in consumption (dc)\")\n", "plt.show()\n", "\n", "print(\"a_0 is {:.2f}\".format(intercept))\n", "print(\"a_1 is {:.2f}\".format(slope))" ] }, { "cell_type": "markdown", "id": "compact-brazilian", "metadata": {}, "source": [ "The estimate of $a_1$ using the longer differences is much higher because permanent income is playing a much more important role in explaining the variation in consumption." ] } ], "metadata": { "jupytext": { "cell_metadata_json": true, "encoding": "# -*- coding: utf-8 -*-", "formats": "ipynb,py:percent", "notebook_metadata_filter": "all" }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.13" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": false, "autocomplete": false, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 5 }