File:Vermoegenskonzentration im Zeitverlauf.png
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Captions
Captions
Concentration of wealth over time
Summary
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| Description |
English: This graph shows the concentration of wealth caused by the compound interest effect over time. The population size is n=10000. The rates are drawn from a normal distribution with the parameters mu=0.05 and sigma=0.3.
Deutsch: Diese Grafik zeigt die durch den Zinseszinseffekt verursachte Vermögenskonzentration im Zeitverlauf. Die Populationsgröße beträgt n=10000. Die Raten werden aus einer Normalverteilung mit den Parametern mu=0,05 und sigma=0,3 gezogen. |
| Date | |
| Source | Own work |
| Author | Majow |
| PNG development |  This plot was created with Matplotlib. |
| Source code | Python code# Entrepreneurs, Chance, and the Deterministic Concentration of Wealth
# Joseph E. Fargione, Clarence Lehman, Stephen Polasky
# https://doi.org/10.1371/journal.pone.0020728
import numpy as np
import scipy.stats as sts
import matplotlib.pyplot as plt
n, t = 10000, 200
mu, sigma = 0.05, 0.3
dn, cn = n // 10, n // 100
R = np.random.normal(mu, sigma, (n, t))
X = R.cumsum(axis=1)
Y = np.exp(X)
S = np.ones((n, 1))
K = np.concatenate((S, S*Y), axis=1)
K.sort(axis=0)
W_Total = K[0:n].sum(axis=0)
Q_Top10 = K[n-dn:n].sum(axis=0) / W_Total
Q_Top100 = K[n-cn:n].sum(axis=0) / W_Total
T = np.linspace(0, t, num=t+1)
P_Top10 = sts.norm.cdf(sigma*np.sqrt(T)-sts.norm.ppf(1-0.1))
P_Top100 = sts.norm.cdf(sigma*np.sqrt(T)-sts.norm.ppf(1-0.01))
fig, ax = plt.subplots(figsize=(10.0, 5.0))
fig.suptitle('Vermögenskonzentration im Zeitverlauf')
ax.set(xlabel='Zeit (Jahre)', ylabel='Vermögensanteil (100% = 1.0)')
ax.plot(Q_Top10, 'bo', markersize=4.0, label='Die oberen 10% der Population (Simulation)')
ax.plot(T, P_Top10, 'c', linewidth=2.0, label='Die oberen 10% der Population (Prognose)')
ax.plot(Q_Top100, 'bo', markersize=2.0, label='Die oberen 1% der Population (Simulation)')
ax.plot(T, P_Top100, 'c', linewidth=1.0, label='Die oberen 1% der Population (Prognose)')
ax.grid()
ax.legend()
plt.savefig("Vermoegenskonzentration_im_Zeitverlauf.png", dpi=150)
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Licensing
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I, the copyright holder of this work, hereby publish it under the following license:
 
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This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 09:22, 19 March 2021 | | 1,500 × 750 (105 KB) | Majow (talk | contribs) | Uploaded own work with UploadWizard |
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