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@AlextheYounga
Last active February 11, 2025 20:43
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Federal Reserve Natural Expiration of Debt Assets Held on Balance Sheet
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Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1200x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# Create time points (monthly for 30 years)\n",
"years = np.linspace(0, 30, 361) # 30 years with monthly points\n",
"\n",
"def calculate_decline(amount, start_year, end_year, years):\n",
" \"\"\"Calculate the amount that declines over a specific period\"\"\"\n",
" decline = np.zeros_like(years)\n",
" mask = (years >= start_year) & (years <= end_year)\n",
" duration = end_year - start_year\n",
" if duration == 0:\n",
" return decline\n",
" \n",
" # Linear decline over the period\n",
" decline[mask] = amount * ((years[mask] - start_year) / duration)\n",
" decline[years > end_year] = amount\n",
" return decline\n",
"\n",
"# Calculate declines for each component\n",
"# USTs\n",
"decline_15d = calculate_decline(0.09, 0, 0.041, years)\n",
"decline_90d = calculate_decline(0.18, 0, 0.25, years)\n",
"decline_1y = calculate_decline(0.44, 0.25, 1, years)\n",
"decline_5y = calculate_decline(1.45, 1, 5, years)\n",
"decline_10y = calculate_decline(0.575, 5, 10, years)\n",
"decline_30y = calculate_decline(1.54, 10, 30, years)\n",
"\n",
"# MBS\n",
"decline_mbs_5y = calculate_decline(0.0039, 1, 5, years)\n",
"decline_mbs_10y = calculate_decline(0.035, 5, 10, years)\n",
"decline_mbs_30y = calculate_decline(2.1, 10, 30, years)\n",
"\n",
"# Calculate total balance by starting with 6.8T and subtracting declines\n",
"total_balance = 6.8 - (decline_15d + decline_90d + decline_1y + decline_5y + \n",
" decline_10y + decline_30y + decline_mbs_5y + \n",
" decline_mbs_10y + decline_mbs_30y)\n",
"\n",
"# Calculate average annual decline\n",
"total_decline = total_balance[0] - total_balance[-1]\n",
"years_span = 30\n",
"avg_annual_decline = total_decline / years_span\n",
"\n",
"# Create the plot\n",
"plt.figure(figsize=(12, 6))\n",
"plt.plot(years, total_balance, 'b-', linewidth=2)\n",
"\n",
"# Customize the plot\n",
"plt.title(f'Federal Reserve Balance Sheet Projection\\nTotal Assets Over Time (Average Decline: ${avg_annual_decline:.2f}T per year)', \n",
" fontsize=14, pad=20)\n",
"plt.xlabel('Years from Present', fontsize=12)\n",
"plt.ylabel('Total Assets (Trillion USD)', fontsize=12)\n",
"plt.grid(True, alpha=0.3)\n",
"\n",
"# Set axis limits\n",
"plt.xlim(0, 30)\n",
"plt.ylim(0, 7)\n",
"\n",
"# Add vertical lines at key years\n",
"key_years = [0.041, 0.25, 1, 5, 10, 30]\n",
"for year in key_years:\n",
" plt.axvline(x=year, color='gray', linestyle='--', alpha=0.3)\n",
"\n",
"# Add initial value annotation\n",
"plt.annotate(f'Initial: $6.8T', \n",
" xy=(0, 6.8), \n",
" xytext=(1, 6.8),\n",
" fontsize=10,\n",
" arrowprops=dict(arrowstyle='->'))\n",
"\n",
"plt.tight_layout()\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.10.10"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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