diff --git a/examples/ConsumptionSaving/example_ConsPortfolioModel.ipynb b/examples/ConsumptionSaving/example_ConsPortfolioModel.ipynb index 66d1c1c85..917bf529b 100644 --- a/examples/ConsumptionSaving/example_ConsPortfolioModel.ipynb +++ b/examples/ConsumptionSaving/example_ConsPortfolioModel.ipynb @@ -28,7 +28,7 @@ "output_type": "stream", "text": [ "Now solving an example portfolio choice problem; this might take a moment...\n", - "Solving an infinite horizon portfolio choice problem took 18.253526210784912 seconds.\n" + "Solving an infinite horizon portfolio choice problem took 20.630260944366455 seconds.\n" ] } ], @@ -74,7 +74,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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\n", 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\n", 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" ] @@ -187,7 +187,7 @@ "output_type": "stream", "text": [ "Now solving a discrete choice portfolio problem; this might take a minute...\n", - "Solving an infinite horizon discrete portfolio choice problem took 35.31377863883972 seconds.\n" + "Solving an infinite horizon discrete portfolio choice problem took 35.090981006622314 seconds.\n" ] } ], @@ -220,7 +220,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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Wpj8OCttEsa2FLndiaDaiVToM9bSk3wOTJM3uuTAijs2vLGsk7R4/3GzEqxQW7wKmApdT+W5ua3LFtgLdG4Jv/ud9HhULaGtt4cRDdmO7rYq1LsVsyFS6g3stMFfSGRFxa/kyScflXpk1jL13HsOYYitX3flIrUupuQBeWruenbZu58MH7VrrcsyGTDVXQ50OXN1j3teAa7KeKGka8H2gAPw0Ir7Vx3rvA35Fck9HZxU1WR15257bs/Dsd9a6jLrw/Jp1vP7s3/smRRtxKl0NdRRwNLCzpAvKFo0BurNeWFIBuBA4ElgGzJM0OyLu67HeVsDngDv6X75ZfdnYA7DP4dgIU+lqqMeATmANyQBIpZ/ZQDVfIw8ElkTE0vSQ1lXA9F7W+yZwbvo+Zg2trdBCa4s8xK2NOJXOWSyQdC/wzoi4bACvvTPwaNn0MuCN5SukY2bsEhHXS/pyXy8kaSYwE2DixIkDKMVs+PjqMBuJKnb3ERHrgV0kjRrqN5bUApwPfClr3YiYFREdEdExfrx7NrX6Nrqt4PHQbcSp5gT3w8Dt6b0WL5ZmRsT5Gc9bDuxSNj0hnVeyFbA3cIskgB2A2ZKO9Ulua2Tto1p8GMpGnGrC4q/pTwvJDr5a84DJkiaRhMTxwAdLCyNiFbBtaVrSLcBpDgprdMXWgsPCRpzMsIiIbwBI2jKdfqGaF46IbkmnAjeQXDp7cUQslnQO0BkRm90VbjYStI8q8ODjz3PBjQ/VuhSzIVPNSHl7k9zFPS6dfgr4SEQsznpuRMwB5vSYd1Yf6x5WRb1mdW/PHbbi6s5lnP+Hv9S6FLMho4iovIL0J+CMiLg5nT4M+JeIODj/8jbX0dERnZ0+UmX1KyLYUPm/ldmway20zI+IjgE/v4p1tigFBUBE3CJpi4G+odlIJ4mCO8myEaaasFgq6eskh6IATiAZ48LMzJpENcOqngSMB64DriW5gumkPIsyM7P6UqlvqCLwKeC1wCLgSxGxbrgKMzOz+lGpZXEZ0EESFEcB5w1LRWZmVncqnbOYEhGvB5D0M+DO4SnJzMzqTaWWxcZDThGR2SW5mZmNXJVaFvtKWp0+FtCeTguIiBiTe3VmZlYXKnVRXhjOQszMrH5Vc+msmZk1OYeFmZllquYO7vry1ENwybtqXYWZWVNxy8LMzDI1Xsti28lw4vW1rsLMrLGcNLjeLd2yMDOzTA4LMzPL5LAwM7NMDgszM8vksDAzs0wOCzMzy+SwMDOzTA4LMzPL5LAwM7NMDgszM8vksDAzs0wOCzMzy+SwMDOzTA4LMzPL5LAwM7NMDgszM8vksDAzs0wOCzMzy+SwMDOzTLmGhaRpkh6UtETS6b0s/6Kk+yQtlHSjpF3zrMfMzAYmt7CQVAAuBI4CpgAzJE3psdrdQEdE7AP8Cvh2XvWYmdnA5dmyOBBYEhFLI2ItcBUwvXyFiLg5Il5KJ+cCE3Ksx8zMBijPsNgZeLRselk6ry8nA7/rbYGkmZI6JXWuXLlyCEs0M7Nq1MUJbkknAB3Aeb0tj4hZEdERER3jx48f3uLMzIzWHF97ObBL2fSEdN4mJB0BnAG8NSK6cqzHzMwGKM+WxTxgsqRJkkYBxwOzy1eQtD/wY+DYiHgyx1rMzGwQcguLiOgGTgVuAO4Hro6IxZLOkXRsutp5wJbANZLukTS7j5czM7MayvMwFBExB5jTY95ZZY+PyPP9zcxsaNTFCW4zM6tvDgszM8vksDAzs0wOCzMzy+SwMDOzTA4LMzPL5LAwM7NMDgszM8vksDAzs0wOCzMzy+SwMDOzTA4LMzPL5LAwM7NMDgszM8vksDAzs0wOCzMzy+SwMDOzTA4LMzPL5LAwM7NMDgszM8vksDAzs0wOCzMzy+SwMDOzTA4LMzPL5LAwM7NMDgszM8vksDAzs0wOCzMzy+SwMDOzTA4LMzPL5LAwM7NMDgszM8vksDAzs0wOCzMzy+SwMDOzTLmGhaRpkh6UtETS6b0sHy3pl+nyOyTtlmc9ZmY2MLmFhaQCcCFwFDAFmCFpSo/VTgaejYjXAt8Fzs2rHjMzG7g8WxYHAksiYmlErAWuAqb3WGc6cFn6+FfA2yUpx5rMzGwAWnN87Z2BR8umlwFv7GudiOiWtAp4NfBU+UqSZgIz08kuSffmUvHQ2pYen6NOuc6h0wg1guscao1S5+sG8+Q8w2LIRMQsYBaApM6I6KhxSZlc59BqhDoboUZwnUOtkeoczPPzPAy1HNilbHpCOq/XdSS1AmOBp3OsyczMBiDPsJgHTJY0SdIo4Hhgdo91ZgMfTR//I3BTRESONZmZ2QDkdhgqPQdxKnADUAAujojFks4BOiNiNvAz4HJJS4BnSAIly6y8ah5irnNoNUKdjVAjuM6h1hR1yl/kzcwsi+/gNjOzTA4LMzPL1FBhkdV9SC1I2kXSzZLuk7RY0ufS+WdLWi7pnvTn6Dqo9W+SFqX1dKbzxkn6g6SH0n+3qXGNryvbZvdIWi3p8/WwPSVdLOnJ8vt8+tp+SlyQ/q0ulDS1xnWeJ+mBtJZfS9o6nb+bpJfLtutFNa6zz9+zpK+l2/NBSe+scZ2/LKvxb5LuSefXZHtW2A8N3d9nRDTED8lJ8r8CuwOjgAXAlDqoa0dgavp4K+AvJN2bnA2cVuv6etT6N2DbHvO+DZyePj4dOLfWdfb4nT8O7FoP2xN4CzAVuDdr+wFHA78DBBwE3FHjOt8BtKaPzy2rc7fy9epge/b6e07/Ty0ARgOT0n1BoVZ19lj+HeCsWm7PCvuhIfv7bKSWRTXdhwy7iFgREXelj58H7ie5M71RlHe5chnwnhrW0tPbgb9GxN9rXQhARNxGctVeub6233Tg55GYC2wtacda1RkRv4+I7nRyLsl9TzXVx/bsy3TgqojoioiHgSUk+4TcVaoz7Z7o/cCVw1FLXyrsh4bs77ORwqK37kPqaqespNfc/YE70lmnpk28i2t9eCcVwO8lzVfShQrA9hGxIn38OLB9bUrr1fFs+p+w3rYn9L396vnv9SSSb5UlkyTdLelWSW+uVVFlevs91+v2fDPwREQ8VDavptuzx35oyP4+Gyks6pqkLYFrgc9HxGrgR8BrgP2AFSRN1Vo7NCKmkvQEfIqkt5QvjKR9WhfXUiu5kfNY4Jp0Vj1uz03U0/bri6QzgG7ginTWCmBiROwPfBH4d0ljalUfDfB77mEGm36hqen27GU/tNFg/z4bKSyq6T6kJiS1kfyCroiI6wAi4omIWB8RG4CfMExN5koiYnn675PAr0lqeqLU/Ez/fbJ2FW7iKOCuiHgC6nN7pvrafnX39yrpY8AxwIfSHQfpYZ2n08fzSc4F7FGrGiv8nutxe7YC7wV+WZpXy+3Z236IIfz7bKSwqKb7kGGXHrP8GXB/RJxfNr/8+N//AmraU66kLSRtVXpMcsLzXjbtcuWjwH/UpsLNbPKNrd62Z5m+tt9s4CPpVScHAavKDgcMO0nTgK8Ax0bES2XzxysZewZJuwOTgaW1qbLi73k2cLySAdMmkdR553DX18MRwAMRsaw0o1bbs6/9EEP59zncZ+0Hecb/aJKz/H8Fzqh1PWlNh5I07RYC96Q/RwOXA4vS+bOBHWtc5+4kV5MsABaXth9Jl/A3Ag8B/wWMq4NtugVJh5Jjy+bVfHuShNcKYB3JMd6T+9p+JFeZXJj+rS4COmpc5xKSY9Slv9GL0nXfl/493APcBby7xnX2+XsGzki354PAUbWsM51/KfCpHuvWZHtW2A8N2d+nu/swM7NMjXQYyszMasRhYWZmmRwWZmaWyWFhZmaZHBZmZpbJYWFVkRSSvlM2fZqks4e5hlskdaSP5yjtOXUQr3eYpP/sY35I+njZvP3Seaf18z3O7s9zJP1zhWWlXoMXpl1J7NqfWswGw2Fh1eoC3itp24E8Ob3bdchExNER8dxQvmYP95J0EFcyg+QelaoN8DP3GRapwyNiH+AW4MwBvP6glG44s+bjsLBqdZOM4fuFnguU9OF/U/qN90ZJE9P5l0q6SNIdwLfT6R9JmitpafoN/mJJ90u6tOz1fiSpU0m//N/orZj0W/a2kj6lV8YOeFjSzenyd0j6s6S7JF2T9plTGhPlAUl3kXTV0Je/A0VJ26d3x06jrPM9SZ+QNE/SAknXSnpVb5+5R82fkPQ7Se2STpB0Z1r3jyUVJH0LaE/nXUFlfybt+C29a/jatJ55kg5J57+1bNvcLWmr9I7d8yTdm7ZSPpCuu0krS9IPlXQPUtrW56bb7Lh0G96VfvYb03W2SH+Xd6bvNT2dv1fZ51woaXLG57I65bCw/rgQ+JCksT3m/wC4LP3GewVwQdmyCcDBEfHFdHob4E0koTMb+C6wF/B6Sful65wRER3APsBbJe3TV0ERcVFE7AccQHJ37flp6+dM4IhIOk7sBL4oqUjS39C7gTcAO2R83l8BxwEHk9yN21W27LqIOCAi9iXpDvrkCp8ZSaeS9Mv0HpIxDz4AHJLWvp6kv6bTgZcjYr+I+FBGbdOA36SPvw98NyIOILmD+Kfp/NOAU9L3eDPwMklA7gfsS9JdxXmqruv0p9NteSPJNnxf+tmPS5efAdwUEQcCh6evuwXwKeD7aQ0dJL8ja0BDemjARraIWC3p58A/kex4St7EK9/SL2fTb9TXRMT6sunfRkRIWkTStfMiAEmLSXai9wDvV9KFeivJoC5TSLoxqOT7JDur30o6Jn3O7UmjgFEk38T3BB6OtDtpSb8AZvbxegBXk3QStydJlw8Hly3bW9L/AbYGtgRuqPCZP0LS1cZ7ImKdpLeThNW8tL52qu/A8WZJ44AXgK+n844ApqSvBTAmbUndThKeV5CE2zJJhwJXpvU9IelWkqDdpIfSXpQ6yzsIuC2SMSWIiNI4D+8AjtUr52eKwESS7X6GpAlpDeVdeVsDcVhYf32P5Fv2JVWu/2KP6dK38w1s+k19A9CqpJO404ADIuLZ9PBUsdIbpIdLdgVOLc0C/hARM3qstx/9EBGPS1oHHAl8jk3D4lKSnf+C9P0PK1vW8zMvIvk2PwF4OK3vsoj4Wn/qSR0OPEfSgvsGSTfYLcBBEbGmx7rfknQ9SR9Bt6vyUKTdbHqkoec27/mZehJJa+PBHvPvTw/JvQuYI+mTEXFTxmtZHfJhKOuX9Jvk1Wx62OVPJL0AA3wI+O9BvMUYkh3TKknbk3RV3idJbyAJlxMi6dYakpHgDpH02nSdLSTtATwA7CbpNel6MzZ7wc2dBXy1R0sBkqErVyjpFjrrkNHdwCeB2ZJ2IjmU84+StkvrG6dXrmxal75mnyIZ8e7zJL2GjgN+D3y2tLwUipJeExGLIuJckl6b9yT53XwgPUcynmTI0DtJztFMUdKr69YkoxT2Zi7wljTUSd8fkpbVZ9PzO0jaP/13d2BpRFxA0uNpn4cUrb65ZWED8R1e+RYPyY7qEklfBlYCJw70hdNv6neT7NgfJTmUUsmpwDiSwzMAnRHx8fTb/pWSRqfrnRkRf0kPb10v6SWSHedWGfX8qY9FXycZiWxl+m/W6/wxPURzPUlL5UySUQtbSHozPYVkhz0LWCjprkrnLSJihaQr0+f9E3ChpIUk/6dvIzlX8HlJh5O02haTnKBfS3LYcAFJL6VfiYjHASRdTXIV2MMkAdfb+65Mt+F1ae1Ppp/nmyStzoXp/IdJztG8H/hw2kJ7HPiXStvJ6pd7nTUzs0w+DGVmZpkcFmZmlslhYWZmmRwWZmaWyWFhZmaZHBZmZpbJYWFmZpn+By/+Ad6A2CG4AAAAAElFTkSuQmCC\n", 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" ] @@ -311,7 +311,7 @@ "output_type": "stream", "text": [ "Now solving a portfolio choice problem with \"sticky\" portfolio shares; this might take a moment...\n", - "Solving an infinite horizon sticky portfolio choice problem took 39.40346646308899 seconds.\n" + "Solving an infinite horizon sticky portfolio choice problem took 39.9187970161438 seconds.\n" ] } ], @@ -343,7 +343,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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" ] @@ -433,15 +433,6 @@ " ] , 0., 200.)" ] }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "lines_to_next_cell": 2 - }, - "outputs": [], - "source": [] - }, { "cell_type": "code", "execution_count": 16, @@ -486,7 +477,7 @@ "output_type": "stream", "text": [ "Now solving a portfolio choice problem with age-varying risk perceptions...\n", - "Solving a 10 period portfolio choice problem with age-varying risk perceptions took 0.8187141418457031 seconds.\n" + "Solving a 10 period portfolio choice problem with age-varying risk perceptions took 0.7531499862670898 seconds.\n" ] } ], @@ -515,7 +506,7 @@ }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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\n", + "image/png": 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uHZD1Ppd4waxa+tM261v6SnnJQghx0ip5n75hmLiuDYBbVomTb+m3J9tx6ueDdqF9IwDnz6jBUPDk1mMP7SOEEOJwJW/pm6aJnc2gFLjhGE5PDw2RBhzt0FmZfxG4bT0AFWE/S5ur+N3GthJesRBCnLxK/o1c0/KTy2QIhH04wXLsnh4mRicC0KpcCFXCgZcLe/3Zggm82h5nW7sMwCaEEMer9C19y8JOpwmELexAFKeriymxKQDsGdgLDQvhwPpC/cvnN6AUPPLKgVJdshBCnLRKH/RNCzuXxR82yfki2AcPMiE8AZ/hY1f/LmhcAu0bCjdz62JBzmqu4qH1+/FeBBZCCDFaJb+Ra+Y/jegPuthmCJ3LQV8/k8sms7tvN0w+F1wbWlcXdn3X4kZ2dCRYu7e3BBcuhBAnrxOipQ/gC2iy2ksAdns7zeXN7O7fDZPOAhTsebawz1WLJhLxm/zfi3tLcMVCCHHyOnGCvs8la3uXk2trY0psCvsG9mEHotAwf1jQjwYs3nH6RB5+eT99qVxJrlsIIU5GpQ36psIwvKBv+hyyWY1GYbcfpDnWjO3atMZbvS6ellXgDAX4Dy2bQjrncv8qae0LIcRolTToK0NhKhMAy+eiNdi+MPbBdqZXTAdgW882mHIu5JLQuraw7/zGcs6bUc0PV+6SzygKIcQonTAtfcP03srVdY3k2tqZWTkTQxls7t4M0y4EZcK2x4bt/skLZ3BwIMOv1h769UYhhBAjKW1L31QY+Za+YeTH36mbhN3eTsgKMa18Glu6t3gvaE0+B7b+btj+582oZmFTOf/95A5yMgibEEIcU2lb+oaBobxLMC2vpW9XNpBr94ZZmFM1hy1dW7y6sy+Dgxuhd6gPXynF375tJnu6kvz0+T1v7LULIcRJqOQtfZUP+oPdO3blBHItrWjXZU7VHA6mDtKV6oJZl3s7HdLav2h2HefNqObbf9xGX1Ke5BFCiKMpfZ9+4RK8oJ8rq0On09jt7cytngvAhs4NUDMDaufAxl8NO4RSii9eMZe+VI5b//DqG3n1Qghx0il9Sz9/CXY2QzDiIxcsByC7ezcLahZgGRZrDq7xdlh0Dex9Drp3DjvO3Ikx/nzZFO55bjdr9vS8kX+CEEKcVEr8yKYBLvgCQbKpBOFyP2kVArygH7SCzKuex9r2/KOaC94PKHj5Z4cd6/OXz2FieYi//8V60jl5hFMIIUZS8u4dHJdgtIx0PE445iedUahQiOzu3QAsqV/Cxq6NpO00lDd6j2+u+ym4wwN7NGDx9fcsYEdHgq8/urkEf4wQQpz4St69o11NsKyMVHyAcLmfRF8Wf3MzmXzQX1q/FNu1WdexztvpjOu8J3hefeyw4104q5a/PH8qP35uDw+/vP8N/EuEEOLkUOJHNhU4mlA0SnpggLLKIImeDNaUZrI7vH77pfVL8Rt+nmp5yttnzpVQPgmev2PEQ37+8jksnlzB53/xMpv2979Rf4kQQpwUSt/SdzTBSBnp+ABl1UFcV6OnzSPX0oLT30/YF+bMCWcOBX3TgrNugN0rYf9Lhx3TZxp870NnUBb08bG7V3GgL/UG/1VCCHHiKnGfvlHo3kkn4sSqvZu4duMMANKbvRezLmy6kD39e7zx9QHO+AvvLd0n/mXEwzaUB7nrujOJZ2yuu2sVPYnsuP8pQghxMij5gGtDN3IHiFYFAMjEvG/kpjdtAuCCpgsAeLLlSW/HYDmc/1nY/gfY/cyIxz5tQozv/fkSdnYmuPYHz9MVz4zzXyOEECe+kj+9ox1NMFqG6zj4Q974OYmshVVfXwj6jdFG5lTN4be7fju071k3QNkE+MNXwR153J23zKzlf/5iKbvygf9gf3q8/yIhhDihlbalbxlgu4SiZQDYmSTRqgA9bUmC8+aR3rChUPcd09/Bxq6N7Ojd4RX4QnDRF6HlRVj3kyOe4y0za7nrujNp6UnxztufkZu7Qog3tZIHfZ1zCcViACT7e6maEKX7QILQ4tPJ7tqF3dkJwBVTr8BSFg/ueHDoAKd/CKacB7//EsQ7jniec6fX8PMbz0FruPq/n+WxjW3j+ncJIcSJqrRB32+gbZdoZTUA8e4uqiZG6G1LEjrzLACSq1YBUB2q5vzG83lox0PkBr+gZRhw5be9D6w8/Leg9RHPNW9iOQ9+6jxm1EX5xL1r+OpvNsrHV4QQbzqlDfo+r6VfVl0DwEBXF1UTIji2S7Z2KkYkQuKFFwr1r5lzDZ2pTn67u6hvv3YWvPXLsOVhePHOo56vPhbk5zeew8fOm8rdz+7m3bc/y9a2gXH524QQ4kR0QnTvBKNlGKZFvMdr6QP0HMwQWnoGyeeeL9Q/d+K5zKiYwT0b70EXt+rP+ZQ39PJjXxz2ScWRBCyTL181lx9+ZClt/Wmu/K+VfOv3W2W8HiHEm0KJW/reV7OUC9GqauJdnVQ2hAHo2h8n+pYLyO7ZQ2bnLq+eUnxk7kd4tedVVrauLDqQgnfdAWUNcN8HoXffMc/9trn1/OH/XchVCyfyX09s5/LvrOT3G9uGJxMhhDjFlLx7B8h38VQz0N2JP2hRUR/m4O5+yt56MQDxJ/5Y2OfKaVfSFG3iO2u/g6uLHtUMV8EHfwbZJPz0akgde4jlqoifWz5wOj/+2FkYCm64dw0f+P7zvLRXhmcWQpyaTpigH62qYaDTewJnwvRyDuzsw6pvIDh3Lv2PP17Yx2f6+MySz/Bqz6s8vPPh4QesnwvX/MQbb/8n7x1V4Ae4YFYtj/3tBfzru+ezszPBu+94lo/dvYrVu7vH5g8VQogTxKiCvlLqMqXUVqXUdqXUF45S771KKa2UWjqq4xYF/coJjfR3dGBnszRMLyeTsOlpS1J2+WWk179c6OIBeHvz25lfPZ9vrf4WfZm+4QedegG872448DLccxUkOkdzKVimwYeWTeFPNy3nc5fMYt2+Xq7+7+d4X/4RT1s+vC6EOAUcM+grpUzgduByYC5wrVJq7gj1yoC/AV44dNsRT+73+vTdrENVYxNau/S27WfCdO/rWQd29FLxrneBadL3q18O7acMvnLuV+jL9HHLmlsOP/CcP4Nr74PObfA/l3jzUYoGLD791pk88/mL+epVc9nfm+YT967h/G+u4NbHX5UB3IQQJ7XRtPTPArZrrXdqrbPAfcA7R6j3z8A3gVGPdaBCFgBuyqZqYhMA3ftbqKgPE4r5adnag1VbS3T5cnp//QA6N/Th8zlVc/jIvI/wq22/4unWpw8/+My3wUcehHQ//OCtsOOJ0V4WACG/yUfPm8qTNy3n+x8+g9kNZdz2xDbO+8YTXHfXi/z6pRbiGfu4jimEEKU2mqDfCBQ/DtOSLytQSi0BJmmtHzmuk4d9ALhJm6oJ3iG7WvehlKJ5fjV7N3bjOC4VV78Xp6uL/t8N/3DKXy36K2ZWzuQfV/4j7Yn2w08w+Wy4/gkob4J73wN//Bo4ucPrHYVlGrx9XgP3fOwsnrrpIm68cDqvtsf57P3rOeOfH+eTP1nDo68cICEJQAhxEnjdN3KVUgZwC/C5UdS9QSm1Wim1uqOjAyM82NLP4QsGqZwwkfad3tg6zQtqyKZsDmzrJXrhhfhnTKfrzjvRRYOrBa0g/3nhf5J20tz01E1knRGGUK6cAh//PSz+EKz8FvzPpdC5/TX9rZOqwvz9ZXNY+fcX8ctPnsO1Z01m1e4e/uqna1n8tcf58P+8wI+e3sXuzsRrOr4QQoy30QT9VmBS0XpTvmxQGTAf+JNSajdwNvCbkW7maq3v1Fov1Vovra2txRjs3kl6reSGGbNp274VrTVNp1ViWgY7X+pAGQY1N9xAZts24itWDDvmtPJpfO3cr/HSwZe4+embhz/GOSgQhXfeDu+7B7p3wPfOgRVfh9xr6583DMUZU6r46jvm8cI/vpX/vX4ZHzlnCq29Kb728CaW/+efuPg//8SXHtjAwy/vp2NAhnUWQpwYrFHUWQXMVEpNxQv21wAfHNyote4DagbXlVJ/Av5Oa736WAdWPgMshZvygv6EGbPYvHIFA50dxGrrmHp6Da+uaufcq2cQu+IKOm6/nYO33kr0wgtR1tClXzb1MvYn9nPrmlupC9fxuaWfQyl1+Annvcvr8nnsi/DkN+Hl++HtX4fZV3gveL0GpqE4d3oN506v4eYr57KnK8GKLQdZsbWDX65t4d7n9wAwvTbC2dOqOWtqFUsmV9JUGRr5GoUQYhwdM+hrrW2l1KeAxwAT+JHWeqNS6mvAaq31b17ryZVSGCEfOt/SbzptPgB7XlnHgosvZe65E9m++iC71nUy88x66m+6iZZPfZqe++6n6s8/NOxY1827jrZEG/dsugdDGXz2jM+OHFTLGuDq/4ElH4ZHb/Le4G08Ay7+Ekxb/pqD/6Ap1RE+et5UPnreVHKOy4bWPl7Y1c3zO7t4cN1+fvrCXsB7MWxhUzmLmipYNKmchU0V1EQDr+vcQghxLKNp6aO1fhR49JCyLx+h7vLjuQAjbOEmvZurNZObiVbXsHPtiyy4+FKa5lRSVhVk0zP7mXlmPdG3vpXw2WfTcdttlF1yCb76usJxlFJ84awv4GqXuzbeRcpO8YWzvoBpmCOfeNpy+OSzsO5/4cl/h3vf5Q3TfO6nYebbvRE8XyefabB4ciWLJ1dy44XTsR2XLW0DrG/pZf2+Xtbv6+OpV7fh5kd+qC0LMKehjNn1ZcxuKGNOQ4yZ9VGCviP8DUIIcZxGFfTHkxGyCt07SimmLzmTTU+twM7lsHw+5r5lIi88uJOOvQPUTi5jwle/ws53vZsDN9/MpDu/P6w1byiDLy77IkEzyD2b7qE13so3L/gmZf6ykU9u+rzv7S66BtbcDc98B/7vGqiaBss+CYs+4H2acYxYpsH8xnLmN5bzoWVTAEhkbDa09vFKax9b2gbY0tbPvc/vIWO7+b/J+/UwtWZomlYTYWpthPqyIIYhXURCiNFTpRpgbOnSpXr16tV0/ngTdleKhs+eAcDOl1bx62/8E++86UvMWLqMTDLHj//xWSbNreKyGxYA0P2Tn9L+L/9C/Ze/RNUHPzji8e/fcj/fePEbTI5N5pbltzC9YvqxL8rJwebfwHN3QOtqsIJw2lXex1qmXgBH+tUwxhxXs7srwZYDA2xt62fbwTi7OhPs7kqQzg3dqA75TJprIjRXh2msCNFUGaKxMpyfh4gFfW/I9Qoh3jhKqTVa61GNejDi/qUO+r0P7SCxqo2J/3QuSikc2+bOv/ooE2bO5l03fQmA5x/cwZrf7eGam8+iujGKdl323XgjieeeZ8o9dxNesmTEc6xqW8XfPfl3JHIJPnvGZ7l2zrUYapTdNq1r4KWfwoZfQLoPYk0w951w2pUwadkblgCKua6mrT/N7s4EOzsTXiLIJ4PW3tSwhAAQC1o0Vg4lhLpYgPqyIPWxIPWxAPXlQcoCltxQFuIkctIH/fjzB+h9YDsN/3AWVrl3I/Opn97F6od/zQ2330W0qpp0PMdPvvwcdVPKuOozp3vJoa+PXe9/P24iydT778PX2DjieTpTnXzl2a/wVMtTnDPhHG4++2YmxyaP/kJzadj6KKy/D3auACcLkVrviZ85V0LzeeCPjMU/ktdFa01XIktrT4qWnhStvUlaBpd7UuzvTTEwwgtkIZ9JfSxAXSyfDMoC1MUCVEUCVEf8VEf9VEX8VEcChPxyb0GIUjvpg356Ry+dP3iFmo/PJzizEoDetgP86G8/wdJ3vIcLPvhRAF5esY+V92/j8hsXMO30WgAy27ez+4MfwqyoYMpP7sVXVzfiubTW/PzVn3PLmlvIOlk+Nv9jfHzBxwlZoeO76HQ/bH8cNj8E2x6HbBxMv9fyn3YhTLsYJp5ekl8Bo5HI2BwcyNDen6a9P83B/vxyvuxgf5r2/gypI3xQJuQzqYr4qckngqpIgOqon+qIn8qIn4qQj/KQj/KwN68I+Qn6DPklIcQYOumDvjOQ5cC/vkDFVdOInjfUWn/o299k97o13HDHXQTCERzH5edfX0UqnuPaLy8jGPH6q1Pr1rHnYx/HN3ECU+65B6u6+ojn7Eh28J+r/5NHdz1KXaiO6xdez3tnvhef+Rr6vnNp2LUrjMkAACAASURBVPOM1/rf+Sdoe8UrD5TDpDO9RNB0JjQthcARbiSfgLTWxDM23YksXYks3fEsXYlMYbk7kaUzkaU7kaE77i1n7SOPQOo3DWIhH+Uhi4qw30sKh0yxkI9owKIsaBENWESDFmX5echnStIQoshJH/S11rR9cxVWXZjaj80vbG/fuZ2f/MPfct4HPszZ7/kAAB17B/jFN1Yz/Yw6Lv34vELdxAsvsu8Tn8Cqq2PyD3+Af/LRu29Wt63mv176L9YeXMvEyESuX3g9V02/ioD5Op6TT3R6wX/3Stj3IhzcDGhQBtTNg6YzoGGhN9XPA3/4tZ/rBKK1JpF16Elk6Uvl6E3m6Et5U2/KK+sfXC/a1pfMjdjddChDkU8IXmKIBEyiQZ+XFPKJIZpfDvlNwoXJIuw382XWsHJTnngSJ7GTPugD9P1+NwMr9hF7ezO+CRGCsypRSvHrf/8aLZs28PHbfkA45j06ueqRXbz40C7e+henMeecCYXjpdatY98nbgTLoum7/0V48eKjnl9rzbP7n+W7L32XDV0bqApW8f7Z7+cDsz9ATajmqPuOSroPWlZ7CWDf87D/Ja8MvERQPRMaFngJoHY21MyGymYwS/4U7RvGdlwG0jb96RzxjE08bXvzjM3A4HK6eH2o3kDGJpFfTmSP7/vGfsvwEoDPSwqRgPeLYjAphPwmQZ9B0DIJ+vLLPpOAzyRgecvBwXl+e8Aaqhe0TAI+g4AlXVti7J0SQd+JZ+m8eyO5ljgAkWUNVLxrBt2tLdxz019z+qV/xsXXfQIA13H5zW3raNvRz3tuWkLdlFjhmJkdO9h34yfJtbVR//nPU/mhDx7zPzqtNS+2vchPNv2EJ1uexDRMLpp0Ee+a8S7OnXguljFGQVhr6Nvnfdyl7RVoe9lb7m8ZqmP6oWo61MwcSgRVU6FiCkRqXvfbwqcqx9UksjaprEMy65A8ZDmZXy6U5WySmXxZ7tDt3no655DOuaRth9fzn0ghSRQlhMEkMZgY/JaB38zPLQO/aRaWA4dtK1q2DAKHrBdvD1hmYX95n+PUcUoEfYD9+/ezf3cLU7srST3dRsW7ZxBdNoHHf/BdNqx4nI/8+3epbvLGfUsNZPn5v3ldQ1d/fimRiqFuGaevj/2f/wLxP/2JsksvpeErXz5qP3+xPf17uG/LfTyy8xF6Mj1UB6u5YtoVXDLlEhbWLDzy272vR7rP+8hL56vQsXVo3rMLigeP80W8XwKVzd7IoZXNXjIob4Syid43giUpjDmtNTlHk7a9RJDJud7cdocSQ87Jb3fJ2ENlmZxD2naH9rOdYftkbJes7ZJ18vMRlseKZaiRE4dZlHiGbTPxmQq/aeAzDaxDln2mkV9XWIPLllduGQb+/LIvX2doefi6v+h4PlPJL6NROCWCvuM43HrrrcTjcRYtWsT5XTPI7hug4e+WknGT3PXZG6lqnMQ1//RNVH54hI69A/z6W2uJVgZ49+eWECrzF46tXZfuH/2Iju/chhGJUP/FfyR25ZWj/hcq5+RY2bqSB7c/yFOtT2G7NlXBKi6adBEXT76YMxvOPP4nf46XnYHuXdCze2jq3TO0nEsOr28GIDYBYo1QNgFiE4emsonemEORWvAFx/e6xZjRWh8xIWTy65ncoYnCOaxOYduhxzjKtqzjkitMmpztknO9Zccdv5jhMxWW4SUAvzVSkjly0rFMhWkofIa3bBneNm/uHfewssHlkeoMHqPoeD7T8M5hKkxj+LF9g+fP17GM8Ulip0TQ3717N3fffTc1NTV0dnbywXe8n/AvuwkvrKXqA7PZ+OQf+d0dt3LxdZ9g8WVXFY7R+moPD/3XeiobwrzzbxYTjA5/CiezfTv7v/hF0utfJrRkCfX/8AVCCxYc13UOZAd4uvVpntj7BCtbV5LIJfAZPhbXLWbZhGWcPeFs5lbPHbtuoNHQGhId0LMHBvZDf9E0cAD6W6H/ADgjDOkciHldRZG6/LwWonXefHA9Ugfham8IijfRPQYxOo6ryTkutptPBo6XJGxHF5ZzjsYuWs7ZLrbrknWG9skV7V9ILq9hOZs/hu1qbEdju27+Gr1rsF2N7Y5vsjoSyxieCAaT2lDiKEoSpoEvX98qSiqDCWRw/p1rl5z8QX/16tU8/PDDfOYzn+Gee+4hGo3yvslvI76ihZrrFxCYVs6vvvFVWjZt4ENfv4WaSVMKx9m7sYtHv/cKsZogV356EbHq4S1w7Tj0/upXdHznNpzOTmJXXE71jTcSnDXruK8562R5se1Fnt//PC+0vcCW7i0ARH1RFtQsYFHdIhbVLmJh7UJi/tgxjjbOtIZk91BSGDjgPWGU6CiaOofmHOHfg0A5hCogVDmKqcJLKsGY1x01BoPWCTFWtB4K/rl8kvISQtHyIcnDztd1CmXFiWTol0/xfjnXxXE0OVfjHHLsnKvz24aOOXj8XL6Ok79Ge9h86PgrP3/xyR/0V6xYwVNPPcXNN9/M2rVreeSRR7juIx/F/4sOlKmo/5slJAZ6uffznyEYLeNDX78Ff3AouO/f1sMjd7yC5Te44pMLqW8+POA68QRdP/gBPffei5tMUnbJ26j+y78kuHDha/4J1p3u5sW2F1l1YBXrO9azrXdb4SMu08qnMadqTmGaXTWbqmDVazrPuHMdL0EUJ4RkN6R6IDU4H2Ea6YM1BcpLAIEyLwkMWy4bSg6Bom3+yPDJNzgPyf0KIfJOie6dBx98kO3bt/O5z32ObDbLLbfcwrRp03jHorfReddGYpdOIXbxZPa8so5f/OuXmHPuBVzx6b8bFqy7WuM8fPt6kv1Z3vL+Wcx7y8QRg7nT20v3vT+h+957cfv7Ccw9jcprrqH8yisxwq/v2flELsGGzg2s71jPKx2vsKVnC22JtsL2unAdsytnM618Gs3lzUwtn8rU8qlUBipPvhtYrgvZAS/4J4sSQ2YAMv3ePN1ftN6fXy/aNlL304hUPviHR0gMYfBHvfceihOFP+wt+4JghY4wz0++kDfiqhAngVMi6N97772kUiluuOEGAB5//HGeffZZ/uZv/gbnkQOkNnfT8NklWNUhnv/V/Txz/72c/d5rOe/9wz+kko7nePyujezd2M30JXVccM0swjH/YecGr+Xf//BD9PzffWS2bsWIRim79FJiV1xB5Oxlw77M9Xr0pnvZ2rOVLd1b2Nq9la09W9nTv4dMUcCL+WOFBDAlNoXGaCMToxNpjDZSHaw++RLCaNmZoaSQ7vduTmcTQ1Mu6Q11kU1ANr98xDr5cvu1fQITZXrBfzAJWMEjJ4jCPODdQLf8+XnAe+x2cF68fFjd4n183rLpk1804phOiaB/xx13UFVVxTXXXANAX18f3/72tzn33HO5+KwLaPvWGvxTyqjJv7H7++/fxoYVj3PJDZ9i4VsvG3Zc7WrW/n4PLz68C3/A4i0fmMnMM+uPGDi11qReWkfvz37GwB/+gBuPY1ZVUXbpJUSXLyeybBlGaGyf1HG1y4HEAXb17WJX3y529+1mV7+33JnqHFY3aAYLCWBidCJN0SYaIg3UhmupC9dRF657fW8Sn2pcZ3hisNPelEt7CSE3uJ4aYZ4pqnOsecbbb9S/VkZDjZAoDkkips+bDF9+3fLmhm9om+kHwzpC/SOsH3WfI53DJ/dtSuD1Bv0T4tGM/v5+mpubC+vl5eXMmTOHtWvXsnz5csova6b3NztIvNhGdNkE3vaXf02ip5vHf3A7ShksuPjSwr7KUJxxWTNTF9byxL2befxHm9i4cj/nXT1j2ItchfpKEV6ymPCSxbiZrxJ/6in6H32Uvgd/Q+9996MCAcLLziJ6wYVEzl6Gf/r0193yNpRBY7SRxmgj5zeeP2xbIpdgf3w/rfHWwjS4vq5jHQPZgcOOVx4o9xJAyEsCteFa6sP1VIeqqQ5WUxmspCpYRdQXPXV/NQwyzPw9gzdovCOtve8wOBmws/l55ghl2aF58bKdGV7XyR1eZmfBzeX3zXm/bJwsuPZQmZMrqpMvd3Pj+/crc3RJwxhhMn3e/1+Gr6hscPtgWf74hTKzaF9r+P5m0fZCWfE5R9r/GNdzCia1kgd9x3FIp9NEIsOHJ162bBmbN2/mlVdeYfHZi0lt6qLv4Z0Eplfgqwlx1ef+kd986+v8/vu3kcukWXL5O4btXzUxwntuOoNNK1t58eFd/PzfVjNzaR1nXN5MdWN0xGsxAgFil1xC7JJLcDMZkqtXE3/ySRJPPkX7v/wLAGZlJeGlSwmfuZTQGWcQnD17zLqCACK+CDMrZzKzcuaI2/uz/bQn2ulIdtCebKcj1cHB5MHCtK1nG53pzsIN5WKWYVEVrCpMg8mgKlhFZaCS8kA5MX+MWCBGub+cWCBG2Aqf+oni9VDK66qx/HAi/uDSOp8YihLGSIlhMGmMuH5IYhlNneIE5dpD1+A63i+kQll+7ua3FerZ+fWi/UtBGYcnoeJ5YftgmeklwkPLDKuofKSyouMctez1vyBa8u6dRCLBf/zHf3DppafR0HCASZM+hs8XQ2vN9773PZRS3HjjjTj9WdpvXYtVG6LuEwtRloGdy/HId77J9lXPc/rb/4zlH7kec4QAnE3ZrH1sD+tXtGBnHKbMr+b0SybTOKti1AEtu3cvyVWrSa5aRXL1anIt3vAJKhAgMGc2wblzCc2bR3DuXAIzZqD8I99LeCPYrk1XqovudPdhU0+6pzDvSnt1UkfpB7eURSwQKySDmD9WSA5RX5SoP0rUFyXiiwzN/UPrUV/0tY1iKkQxrYeSwmAiKCSMoqRRnGSKp8GEU5xEhiUc+8j7H5aE8teh3aJy+5CywXIHtHOMsvw+RysrasSpf+o/ufv0u7u7ue2277D8ohU4TisNDe9i3txvAbBmzRoeeughPvzhDzN9+nSSr3TS/dPNhM+op/LqmSilcF2Hlf97D6sf+hWNc+Zxxac+R6x25HH104kcG55s4eUVLaQGcpTXhTjt3AnMOWcCkfLja6blDhwguWYt6Q0bSG/aRHrTJty4N3YQPh+B5in4Z8wgMH0GgRnTCUyfjn/KlJImgyNJ2Sl60730Z/vpy/SNOD+sLNNPPBdHH+n5/iJ+wz8sEUR8EcK+MCErdNQpbOXr+Ebe/oa+ECdEKRUlPeUPndxBf//+/dx197c5++xfopQPrW2WLfst0chMcrkc3/3ud4lEIlx//fUopbwROZ/YR/mV0yg7f2j8/c0rV/D4D+9AKVj+F9czf/klR2zF57IOO9YcZNMz+zmwvQ9lKBpnVTB9cS1TT6897gQA3tAPub17vQSweTOZ7TvI7NhBbt8+CiN2WRa+xon4mybhmzwJ/6TJ+CY14Z88GX9TE0ak9F/gOh5aa1J2inguTjwXJ5FNePNcgkRuaPnQbQPZAVJ2ipSdImknC8v2cf6E9xm+QgIIWkECZmDkyfLmftNP0AwOn1vBo5YHzAB+w4/P8OE3vbllyCcmRemc9E/v7Ny5k4ce+jfmL3iCBQvuYNOmv6eq6nwWLrgdgHXr1vHAAw9w9dVXM3/+fLSr6frpZtKbuqi8ehaRM+oLx+w72MbvvvdtWjZtoHHOPC766A3UTz36B9F725Nsee4AO17qoLc9CQomTCtn0twqJp1WRd2UMgzztd/McdNpsrt25ZPAdnJ795Ldu4/svn24fX3D6prV1fgmTsTXUI/VMCE/b8CXn6y6OpTv1O0qybk5LwHkUoVEcKSpkCzydbNOlrSTHjbPOJmhyR5advTxDcU8Ep/hG5YIBuc+M19u+PGZvkLCGCw/2j6DCcVn+DCViWVYwyaf4cNS1mHlpjIL+x42KUsS1SnmpA/6mzZtYuXKf2bGzBc5/7xnaW29j127b+PMMx8kVjYf13W58847GRgY4K//+q8Jh8PonEPnjzeR2d5L5XtmEjmzoXBc7bq8/MfHeOb+e0nFB5h7/nLOevf7qW6cdNTr0VrTvT/Bjpc62P1yJx37BkCDP2TROKuCxtmVNEwrp6YpimmNzR19p6+P7L4Wcvu8RJBr2Udu/wFy7W3YB9pwE4nhOyiFWVONVVOLVV2NVV09tF6TX6+uwaqpxqysLAxOJ4azXXvEZHDYlN+Wc3Pe5OTIullybo6sMzS3XbuwPuI2Nzts38Hlwf3GIgmNhqGMEZNGIWEUbTMNc1jCGCmZFCcd0zC9eX7ZUlah7Eh1Dt1WvM9Y1DHUqfnv/0kf9F966SXWrf8qkydv5uKLNuM4SZ55djllZXNZfPo9KGXQ1tbGnXfeyZw5c3jf+97n9eVnHbru3URmWy9lyycRu3QKqmjM8HQizgu//hnrHnsEO5dl1lnnsviKd9A4e+6oWjypeJaWLT20bO5m3+YeBrrTAJg+g7opZTRMLaeuOUZNU5Ty2tCwc48VJx7Hbmsjd6ANu92b59rbcDq7sLu6sLs6cTo60bkRHsszDMzycm+qqBiaV1RgVoxQll9WYXla543muE4hYdiuPTRpe/h6UVlxXUc7w+oMO86hxxjpmEXbBvd1XOewuiMd19Vu4RoG93G1O+LTY280hXpNyag4aZjqCPOi7SOVHVr3iMc5Wp0Rjmcqk4unnORj7zz33HPs2v1lJk1KMevMFdzd2sk5PENu9+dpnvJJpk//OwCefvpp/vCHP7B8+XKWL18OgHZceh/0nt8PTCun8n2zsCqHDx2c7O9j7aMP8tLvHiabSlLdNJmFb307c85fXvga12jEe9K07eynbWcfbTv76Ng3gGt7/+ysgElNY4TqpjJqmqJUTYhQUR8mVOYb9wCqtcYdGMDu7MLp6sTu7MTuzCeE3l6cvr5hc7e3DzeZPPIBLQszEsGIRjHKyjCiEcxoWX49ihmNYkTz5WX58mi+vKwMIxzGCIVQwaD80ngTc7VbSASDSenQdVe72NoulA0mjUPrHLr/8dYpTkYjXcehdRx3qHzw2IfN3fzfN0LZiPvkzzeaBx+OZcNHN5zcQX/FihV0dn2ZKVNquCfybX7Z3sOkoJ8flf+Eg233M3vW12hq+hBaax544AHWr1/P2972Ns477zyUUmitSa45SO9DOwCIvW0K0XMmoA7pgsml02x57ile/sPvaNv+KsowmDx/EbPOPo8ZZ55zXAkAwMm5dB9I0LFvgK6WOJ0tcTr3DZBND/1UD4QtKurDVDaEvXl9hPK6EGXVQfzB0j154mazuIPJoDgx9PbiDMRxBwZwE3FvOR7HiQ/gxhO4AwM48TiM9MtiBCoUwhicwmFUOIQRCg+VRcL5OvmycMhbH0wcgQBGIIAKBFEBP0YwWFSWnySxiJOI1vp1J5F5NfNO7qD/29/+llzuq0yaPJ8/j38WR2t6bYfvzG5kTucX6ex8gvnzvk19/ZXYts0DDzzAhg0bWLZsGZdeeimm6b2sYHen6fn1NjLberGqg8QubSa0oGbEbpeDu3ey9dmnePX5Z+htP4AyDCbMnEPzosU0L1pC/bQZGK/hJQitNQNdaXrak/S2Jb15e4KetiTJvuywusGoj1h1kLLqILFqLxEMTtHKIP6gecJ2s7iZDG48nxDyicGND3jLqSQ6lcJNJHFTqaH1ZMpbT3rlOjm43SvDeW392srn835VFCeDYAAjMFJZwKvv86P8Pm/Z7z9KWdHyaMskCYlxdtL36T/wwAMEgl/Fmfhe/rLrKm6dM4nv7e0gaCgeXTyZ9euvo69/HYsW/oDq6rfgui6///3vef7555k8eTJXX301sZg3vILWmvTWHvoe3Yl9MIVVHSR6YRORxXUo3+FBXGtNx55dbHvhGXatW0v7ru2gNcFoGZPmLqBxzlwmzj6NuubpI770dTyyKZue9iT9HSn6u1IMdKUZ6ErTn5879vA+UMtvECkPEKkIECn3E64I5Nf9RMoDhMr8hMp8BMO+cbmf8EbSWqNzuUMSQQqdzaAzGdx0Gp3JojNp3HS+LFNUlsmg05n8chadTqOzmeF188s6lxuastljX9zxsqyhRODzoSzLe2PbMlGWD2Wa3rrPQplWfrvp7Te47vOGDzjytvyxrPyxjrotv+6zUKaZr2uCYXjb83NlGN42s3huetdrmoXlYfMTtFFyqjvpg/59991Hdc1X2VLzBf6153RWnjWHZ3rjfOHVFh5ZMpNFEZc1a68lmdzNksX3Ul6+GICXX36Zhx56CMuyuPzyy1mwYEHhX0LtalIbOxn4Uwu51jgqaBJeXEfkrAn4Jxz5Wfhkfx97XlnHnvVradm8gb6D7QBY/gANM2ZSP20m9VOnU9c8ncqJE1/Tr4GRaFeTHMgWEkGiL0OiN0OiL5ufe+t29vCbY0pBIOIjFPURKvMTjBYtR3yEynwEwj4CYQt/yCIQ9iZrhCT4ZqO1BttGZ7PDEsHgspvNQtHyYXWGleXQuWzRcn67Y0PORjsO2vbeAtU5G23bh23Ttu1djz1Ylhu+b9G21/rLaEwZRYnBMLzkNGxuooyjJA3TBNPwEtpgshlpf8sbtqAwH2H/w45jGqAMb27k6xmGl+RMc/g2Q3llxmAdM7+tqP7RthUdSxnKuzZjsM5QfTX4z2twW9Hy8fxCPOmD/j33/ICmSd9gZdWt/HfPZHZesBCtNac/u5FLa8q5fe4UMpkO1qx9P7lcP0vPuJ9IZAYAnZ2dPPDAA7S0tDBr1iyuvPLKQqsfvP+oMzv7SKxqI7WhE2yNrylKeGEtoYW1WBVHfwkr3t1F69bN7N+6if2vbqZjzy4c23uByAoEqJ0ylbrm6dQ0TaaqcRJVjU1EKsZnbHytNbm0Q6IvQ7w3Q2ogS2ogRzqeIxXPkR7IkhpcjmdJx3Mc7f9a0zLwhy2Cw5KBj0DIwh+28AdN/EELX8DEFzTxBYrW82X+gIVhycesS0G7rpcEjpQwcjkY3JbLJxvbRtveMADacQrJY2juevUc10tIw+b5/eyhuXYdGDY/xv6HnvOw4+T/phGPM8L++fngfkf9F/5kUJxcBn9JDUsSBsowmfXUkyd30P/hD/+dqdO+z68qfsiKZA2bzve+YXvzthbuae1i7blzqfX7SKX2snrN+1HKYunSXxAMeM/mu67LCy+8wB//+EdM0+Siiy7izDPPLPT1D3ISOZIvHST50kFyrd5wCf4pMUILawidVo1VdewPhju2TXfrPg7u3kn7ru0c3LWTjj07yaaGxq4JhCNUTWyiqrGJyolNVNRPoLyunvK6eoLRsjcsQGpXk0napOJZMkmbTMomm59nkrnhZcXrKZtMwsYd5fdEDUMVkoIvnxT8QRPLb+LzG5h+E8tnYBXmBpbP9OaHbRss9+qYPgOf35TEIkbFSxZFyUProXV3MHHll4vrDm4brO+4oIfqe3OdT5aHbHNdcFxvW3Ed1/WSWaG+e+xt+WNp95DzFdXXrkPj179+cgf973//i8yYeR//Xfa/9FLB42fOBmB7Ms35L2zh81Mb+GyzF+AHBjayZu0HCQYncsaS+/H5hlr1XV1dPProo+zYsYPa2louu+wypk8f+W3cXGeK1MsdpF7uJNfmvQBl1YUJzqkkOLuKwJTYYU//HInWmnh3F92tLXTv30f3/ha6W/fR3dpCvKd7WF1/KESs1ksA5bX1xGrriFRWEa2qJlpZTbSyCusEGJtHa42Tc8llHLJph1zGIZe2h69n7BG35/Lr2YyDk3Oxsw521sXOOSN2T42KAtM0MC2F6TMwLQPD8uampfJzo7DNtBSGOXy9UKdQ9/Ayw1IYprevYQwu59fNoXVz2PrQsiQm8UY46bt3vve9TzNr9qP8U+gXTI2Wc8+CaYU6H1i3g1eTaVadPRcrf7Oyu/sZ1q3/OLHYIk5f9EMsa2jcdK01W7du5bHHHqOnp4fm5maWL18+bKz+Q+U6kqS39pDe2k1mZx84GuUz8E8uIzC1HP/UcvyTyjD8x98Hnkkm6TvYRl9HO/0H2+k72O6tH2ynr6MdO3P4BziC0bJ8EqgiUllFpLyCUKyccKycUFlsaDkWwxc49q+TE4nWGsd2vSSQzSeE3CHzrIuTc8hlXS/xZL3k4diDk3cMJ+fi2iOU57cVl7lFy+NJDUsU+cRTtDy43RwxmXiJRhnk56owV6bCUIfMDe98xfUOnxfVySelYfNC3cPPOXJ97/sTw65NDZ2jsJyfG0qBQpLhGDupP6KitUbrfgAO5BTnB4a3cj/eVMNHXtnFz9q6+eDEagCqqs5j3rxb2Ljxs6x96cOcvuhH+P3eB8eVUsyZM4cZM2awatUqnn76ae6++26am5s555xzmDlzJsYhN0x8tWF8tWHKzm/EzThktveS2dlLZlcf/X/cCxowFb6GCP7GKL6mKP7GMnz14WP+GgiEw9Q1T6Ouedph27TWpBNxEt1dxHu6iQ/O88uJni469+4m2d/H/2/vzIPsOO77/vn1zLxj375d7C4OggsCJMBDtSxSPFCUmUhiosMmVZEYxSmJjlVWIspyXKIjlZSKFavKcZxKxYwrqcQVSyYdsyxbsiRTkcpkSpIVp2w5KUYSeOMQD5AAiIu7OBZ7vX3HTHf+mJ55M/Pe210AC7wFd75Vg/717+j+vd5B/2Z6fj2jezy0cwtFykNDcUAoVgYpVSoUByoUK4MUBwYSdIVipULJ0v24oxCRcGnHc6AP75YzxqCDZHBI0L5G+wYdaHRg9QKN0Sau60ATBOl6d9rq6l6yNs9v6pDWJu4rfKGiDt/SG/G7luEy3lpHOxjYwJGglRIQQWV1bHBJBZFUYEnqhWXcllqiPxFQ2f66B6+wPRsQs34l7JUKf2Qq6CX1EsGvow1J6KhEPeozY8cqxM++Tvr1eh3XrbNIibkAri6mXyb2/rEh7hwa4OFDJ7l/ywYqdp1+y+YP4KgSe/c9xDPPfpRbb/ly/HAXwHVd7r77bu68806eeeYZnnrqKb7+9a8zPDzM7t27ue2226hWO7+spIoO5ZvHKN8cnON4uAAAF+xJREFUBhi96NM4Mkvz0AzN4/PUXjyN+Yn90LkjeJsGcLcM4G0ewN08gLdlAHesFD6tXwYiQnmwSnmwysbt1/bUM8bQqC2wODfL4uwMtdmwXJybpTY7E9K2PjP1JvWFBRoLC+hg6TdWOq5LsTJIoVTGK5XwSmUKpRJeqZTmFcMy5Cf1ynjFIm6hgFuIygLKWbsv9hKReKnnrYLwwglMYNDGhOUSAaKrLDBxQFw+0LR1MAZt2zXG9mEi2gYv3aZND1qbDN+0/Y3oVH+xvpUFBqN1bK979ZfwUS/TX0yv/Zh63ujr8s73v/99nnzyk6gd5/h1+S98eWIHH94yktLbM7PAB599lX+xfTO/sevqlGx6+ifs3fdptG7wtrf9e67a8sGufQVBwEsvvcSePXs4fPgwIsKOHTu4+eabmZiY6PhqVy8YYwjO1mkem6d5Yh5/skZrqkZg38sDgAJnuIg7WsIZKeGOhoczWsIdKaEqlz6v3hiD32zQqNVoLCzQqM3TWFigXgsDQmNhnoalm/VFWo06rfoizXqdVr0e8uohL8pWWilEVBwAksGgs56mHdfD9TyU6+K4Ho7r4niZMsXP0NbWdcNS5XnkOVYBcVCNAk0q6NAuO4KeTQnukKUDSqyjM/2YtH6ynV13bL5y1/S//e1v88O//RVOj2/kYT7PE7dfz10bOj9l+JmfvsHjb57liTtuYPdweoKuN95k396HmJl9jk0b38+NN/4bSqWtPfs9deoUe/fuZf/+/Zw5cwYRYXx8nJ07d7Jr1y62bdvWkfmzHHQzwD+1SGuqhj9Vw5+uE5yt45+to+czryxQglMt4AwXbFlEDVl6qICqeDgVLwwOa+CKNPBbtOqNVCBo2sDgN+r4zSZ+q4XfbIR0s9lJt3rwE/T5BpdlIRIHAMfzUI6DchwcJ9yk5DgOynHturqLch2UcsKAoSJeSDs2iKjYphvt4Lguohwcm18e8UUplE3FUypdF6WW0XHs8wDnPGz6f97kuHS4LA9yReRe4L8CDvDfjTG/k5F/Dvgk4AOngE8YY44s1ebu3bvNV7/6VZ5/4Vf56da7eST4CE/fPcG2Uuda85wf8J49LwPw3TtvYFMhvQykdYujRx/j9UO/h4jD9mse5Jpr/lkquycLYwyTk5McOHCA1157jRMnTmCMoVAoMD4+zrZt29i2bRvj4+MMDnb/pu5KoJsBwXQd/0ydYLpOMNckmI2OBsFsE1PvvmYvRQdV8VADbhgIBsJgoCoequygSi5SclElSxfb5ZW2SzdcXggI/BaB7xO0WuHh+wR+C+37+K0W2rf8wG/LW620nbVJtqN1gPYDdOCjgyDsKwhz2oMg4uuw9AOrb3UtHdi88La+TbNbg1hJMAl1FCI2mIi0S1F2jTtT76orcTCKdTt4XXTChfXQH7vOjbVVCV2kLVfKsevn7f6VshuxVLbvXr5EMgnHIV5jT/6uhE5yLAjL2IeELyApm7afkpC1x4PsGMZ2pMY7rts710s+6YuIA7wCvB84BuwBfsEYcyCh8/eBHxtjaiLyq8DfM8Z8dKl2d+/ebR555BGOvPFp/mbTx/hW6528cc/b4yydLJ6dXeDnnzvIjZUS37rteqpu59X44uIbvHrwdzh16i9x3Srj47/I+NUPUC4v/S790HaRQ4cOcejQIY4ePcrk5CTR2AwODrJ58+bUsWnTJorF1fkStm4GBLNN9GwTXWsRLLTQ0VHzw3qthZ4PS7OC1McwADg2KNiAUHSQgoMUFFJwUJ6y9ZCnErR4GZ6nIE9L7IDRuh1QdEDgt4NKGBTCF2cZe2ib953mLaUTxDxt6W7tpOqmzYsCU/e+E7Qx1i5anggSSxXaLkPYNuLlCQ3atPsMF/HtmnnbJtTXbV7cX6hHtv9Ee5FtjhAiis9/88lLnr1zF3DQGPN62Kl8A7gfiCd9Y8xfJ/R/BHxsJZ3XajUKhUWm1RauKno9J3yAO4YqPHLztXxi3yE+/NxB/uzWnWzOPPgtl7dz6y1fYm7uAIcO/zeOHHmUI0ceYWz0XWy56n42bXxvKsUzbVtmYmKCiYkJAJrNJidPnuT48eNMTk4yNTXF008/jZ9YhqhUKoyMjHQcw8PDDA4O4q3wK1eq4KA2lmFjeUX6phWgFwN03cc0wlLXfUw9ogOMLUO+j15oEUzXMc0A3dSYZgDBBSztuQpxFeJJWMZ1u2PQi3gS8yMd3IzcsYHEsbQKbcIyyRO7VV4hjoQ2kZ6j4qyHfkCUwlEKx33rftFsLaAzMOl2QOqoLxHEltPtEnBinShokW6HZHCEVFBLtt22s4Es9dA7UbcHiT7bPA3ffPKixnIlk/44cDRRPwa8Ywn9B4HvdROIyKeATwFs376dhYV5CoU6pxllvLh8CuHPbhzmT27ZySf3H+a+Z17hSxM7eEeXZwDV6gS33vIl6vWTnDjx55w4+eecOfB5RDxGR/8uY6PvZmT071AZuL7nZFEoFNixYwc7duyIeVprpqenmZqa4vTp00xPTzM9Pc3Ro0fZt29ffGcQoVwuU61WGRoaolqtUq1WGRwcZGBgoONwz+OFbuI5OJ6DM3RxaZcmMJhWkAoE4RHSupXg+Qbja4yvoaVj2vgak6jrRb+7PNDgX8LnRzZ4YANDTAugbNDIlNgceGyKXIcsVdK7jY6ys09sih6S6C+qZ2Rx3aYgxrnuCRtRdJdl24qXTbIy6WuwPF+ESysQrjCvczzwSxdlvqopmyLyMWA3cE83uTHmUeBRCJd3arVphjf4TAUV7iqt7ErpPWNDfOf26/mV/Yf58HMH+eVrNvG5HVsY9jp/Sqm0lZ07P8N11/0as7MvMDX1PaZO/YAzZ/4GgEJhEyMb3sHQ0NupDt3CUPVmHGegZ99KKcbGxhgbG+uQ+b7PzMwM09PTzM3NMTc3x+zsbExPTk4yPz/fERgiFAqFOACUy2VKpRKlUolisUixWIzpbBkd5xM0IoSTowsl97L8VzLaQGDagUDrsG6P8B0r7TKkjd2KbsLAk7Ah0JaXtDX2nS0mtNHGbmkPMx86eH60RJHUMxDlwGf1g+gKLOJdhoG71IgDTJQLboNcJrggEk68cZ104InainTFMjK6bVm6rbgNlWwrEajI9pmwh7QvvXiZtiThU9h3KJCsz3TxRbXpbu2ng2/Cl+SYZMYnYnXIkj5dJFYyUxwHkovi2ywvBRF5H/BF4B5jTOdW0y6Ynz9OdYMw6Re7PsDthbdXB/ir3Tfxb187waNHT/H4m2d5aPsWPnb1GENd1vpFFMPDtzM8fDs33PAbLC4e5ez0U0yffYpzM08zOfU/raaiUtlFZeB6Biq7qAzsolK5noGBnTjO0rtfXdftGRAiaK2p1WorOs6dO0e9XqfRaKSWlHpBKYXnefFRKBR61rMyz/NwXRfHcXBdt4PuJnMuICUyvhL2FKxsJWvNI1yjJhUIooAT84J2yh2GUMeWmE4ZNjUvJbNpe2lZO92vbUu8NLCkLPJ5KVmiz7BM+BldvPTgxW0n7UnyEzy7wSxuxwZWoiZNpx+QaSfqupuuMdYkzYNwtST8EcnxTvIyvr4FsJIHuS7hg9z3Ek72e4B/YozZn9C5HfgWcK8x5tWVdLx7927z4IPvYuNN/5dfkz/k4Ru38fHxjef9A/bO1fjt107wf6bnGXQUH7lqlH+8ZYTbh1b+rddGY4q5uX3Mzr7I3PwBFhYOsrh4lORlXKGwiVJpG6XS1ZRL2yiVt1EqXkWhsJFCYROFwhhKXZpdrr7v02g0aDQacSCIyuhotVo0m01arVZ8JOtZWq9C1kmvgKCUumxllL3Ri75Y3pWy/JHj0sNkglcqEGZ4qeAGnXwSd4lRsCGrnwys7XpxvHppH+QaY3wReQj4S8IFtceMMftF5LeBp40xTwC/CwwCj9v/JG8YYz60VLtaa7Q5w2k2AZzXlX4St1QHePy263lxrsYjR0/xtZNneOz4aXaUCty7aZh7Rqq8Y0Ml3s3bDcXiZorF97Bx43tiXhA0WFw8zMLCQWq116nXT7BYP8bc3F5OnfoBxnR+MtDzRhJBYCOeN4LnDuN5w7juMJ63AdcbwnOHcb0NeO7QigJFNKGudBPZShAEQRwAfN/HtymJF0pH9ejQWsd0JIt4y5VrCRcaKHodK9Hp5xH95iTdjbec/K1m002+bCnEqdNZebhcs/K2VvPiY0ULwcaY7wLfzfB+M0G/73w7rtfrDJRnOUK4keqaC5z0I9xaHeD3J3bwH/xtfPfUOf5i6hx/fPw0jxw9hSfCHUMD3FYd4O1DA9xaLbOzXAzfw9EDjlNkcPAmBgdv6pAZE9BoTNFoTtFsnKLZPEWjeZpm8xRNW87OPE/Ln8b355b0W6kyrlvBcQZwnAqOU8GN6QEcN8ur4DhllCqinBJKFXFUMayrEsop4qiSrRcR6b5RJ1qiKZXW3kvbVhocohRArXWKXinvUtmcz3EhNqt15Fif6Nu7d86dO8foWJ3/595C0Qg7y6uT8z7kOjywdYwHto5RCzR7Zhb44dk5fjwzz1dOnKZ+LDzZBxzFrnKRnQNFdg0U2VUusqNc5Oqix+bC0umjIg6l0tYld/5GMCbA92dptWZseY6WP4PfmonLIKgRBDX8YIEgWKDlz1BvnMT3561sAWMubMeqSAHHsQEhCgyqgBIXUR5KvC6li5JCpu4hqtC9Li5KeSAOShxEXMINNS4iDoL9ApK4CAl+x+EiCTvXdfA8B5EioFb1aicHXQNQxE/Ku9Er5V0Km7Xix8WUF2t7MejbpD80NMTIyFmOyU3cVCwtOcleKAYcxT2jVe4ZDXPzfW14pVbnhbkaB+YXea3W4PnZGk9OnUslYShgc8Fja9Hj6lIYBEY8h1HPZcxzGfVcRm19xHMpq963XyJOuMzjjXSVrxRaNwmCBXy/RqBraN1AB/Ww1A0CXUcHDbSu23pbHuhIz+qYFkY3bekT+HWMboV100LrVmfdtDCmv0svUXCAbJBQCHanJnZ3JtGOSIcoYKRlyt4FRcEkaidrH+k4NusiIbP85frt1bbN48CmyNha1AdEKSoSpom0sztiHUnw23TYVtQHsUxsP1FWSLrd7m21daJ2VG/9LvZKsjak/QgZsYzE70763p1PjzaiMc+0GVlKUq/dfod+hw/Jvki10dlmtq+0TCTzu2L+Um0k+ReOvk36hcIizVaLQ+5mfm7w8qRyuEqYGCwzkemvoTWHFhscq7c42Whyot7iZCM8Xlmo89T0PNN+7wnPE6HqKgYdh0FHUXUdBh2HqhvSFUdRdcKy5ChKSigpRdlRlJStW7qsJMFXeDYYKlVAqcJFB4+LQbgZpR0EtPZtGQYQjMYYH2OCzOFbWyvD8rWPodOGXnZJfsrOfoEoTFfBoOMy3M1pN79E9ZSOtTEBBmPba8WyMNBFm3KS7QWJNk1H2137Jdr4E8qiI7LPkeNyoG+TfqPxJqcqn2S65nDXcB9erp5AUSneVinztkrv4ONrwzk/4GzL52zLZ7rlc7YV1mf9gPlAM+cHzAcBc77mdKvF4UXNnK0vXmC2jCNQUoqCCJ4SvERZUIInKub11knWFQpwRXAlfK+4K0K40VVwsnyS/CTt4oiLI2Uc256KdJRYvVBfCN9jHu9Zwr7P3JYqIZeEXCXk62VpJwwApkdgWI5u24SZIDbwtNM/UvppG9rBK6Ef8pPtGtsuCb2kDQmdTN8pWkc/OPnrU+20/YzazOi18zQzel3azOi1+2rrdW8jYd+tr2V1l/M3rdfL3/hfY4DPcjHo26RfqdzACxt+HXfxLPdtGu6XGyuGq4SNBZeNhQsbMl8bFrWmrjWLgaYe1S3d5tt6gl7UmpY2+MbQ1IZWXGpaGlpG09SGOa1ptQxN01u3afQFvX1hLeBCg0Yy6DjSyYvaim+eJb5pD0tp31gLkq5nbKWLLQnb5EbcpfTSfYa+xjf55+VfenGiLbNLSOJkFxPiPkjYkSzjZY80n1ie0Sej3yHv3m+qzWX67t12ut3uNittU+JzI+Vj17Hq/nsufCyTelfopP9yzXDixFk+etUoI112077V4Cqhqhyqa2AbuTHhdVZgDL4JP2LhG0O4odUQ0J2f0ols6c6PaLsJNrwWNNi6SZXGynVCblJ6F28fLNFmYMv4+tekr9naMpOQt+2T13FGZ+oZW6yPJttnol962OpkPboY7OJzh22qn+79tltLXguT6gfS/tFVnmOto39X+q7Dv7t+nI+P997BmuPSQBLLNv3/DHuOtzLizJOoHvPb9ZUGkvayRy957z57t50OU8v13Vve2S9ZnQsMoNm+J7g49G3S314q8MvXbOpX9zly5LgMyC5ftAU9KzkuMfJP7OTIkSPHOkI+6efIkSPHOkI+6efIkSPHOkI+6efIkSPHOkI+6efIkSPHOkI+6efIkSPHOkI+6efIkSPHOkI+6efIkSPHOsKyn0u8ZB2LzAEv96Xz88NG4HS/nVgBcj9XD1eCj5D7udq4Uvy8yRhTvVDjfr705mVzEd95vFwQkadzP1cPV4KfV4KPkPu52riS/LwY+3x5J0eOHDnWEfJJP0eOHDnWEfo56T/ax77PB7mfq4srwc8rwUfI/VxtrAs/+/YgN0eOHDlyXH7kyzs5cuTIsY6QT/o5cuTIsY7Ql0lfRO4VkZdF5KCIfKEfPmQhIteIyF+LyAER2S8in7H83xKR4yLyvD0+sAZ8PSwie60/T1veqIj8LxF51ZYjffbxpsSYPS8isyLy2bUwniLymIhMici+BK/r+EmI37Pn6osickef/fxdEXnJ+vIdEdlg+deKyGJiXP+gz372/DuLyL+24/myiPxcn/38ZsLHwyLyvOX3ZTyXmIdW7/w0xlzWA3CA14CdQAF4AZi43H508WsrcIelq8ArhF8m+y3gX/bbv4yvh4GNGd5/BL5g6S8AD/fbz8zf/E1gx1oYT+DdwB3AvuXGD/gA8D3Czzv9DPDjPvv5s4Br6YcTfl6b1FsD49n172z/T70AFIHr7Fzg9MvPjPw/Ab/Zz/FcYh5atfOzH1f6dwEHjTGvG2OawDeA+/vgRwrGmJPGmGctPQf8FBjvr1fnhfuBr1j6K8A/7KMvWbwXeM0Yc6TfjgAYY/4WOJth9xq/+4E/MSF+BGwQka398tMY8wNjjG+rPwK2XQ5flkKP8eyF+4FvGGMaxphDwEHCOeGSYyk/Jfyu40eAr18OX3phiXlo1c7Pfkz648DRRP0Ya2xyFZFrgduBH1vWQ/bW6bF+L5tYGOAHIvKMiHzK8rYYY05a+k1gS39c64oHSP9nWmvjCb3Hby2fr58gvMqLcJ2IPCciPxSRd/XLqQS6/Z3X6ni+C5g0xrya4PV1PDPz0Kqdn/mD3AxEZBD4H8BnjTGzwJeBXcBtwEnCW8B+453GmDuA+4BPi8i7k0IT3vetiVxcESkAHwIet6y1OJ4prKXx6wUR+SLgA1+zrJPAdmPM7cDngD8TkaF++ccV8HfO4BdIX5j0dTy7zEMxLvb87Mekfxy4JlHfZnl9h4h4hAP9NWPMtwGMMZPGmMAYo4E/5DLdii4FY8xxW04B3yH0aTK6rbPlVP88TOE+4FljzCSszfG06DV+a+58FZF/CvwD4BftBIBdLjlj6WcI18pv7JePS/yd1+J4usA/Ar4Z8fo5nt3mIVbx/OzHpL8HuEFErrNXgQ8AT/TBjxTsmt4fAT81xvznBD+5PvZhYF/W9nJCRCoiUo1owgd7+wjH8ONW7ePAX/THww6krqDW2ngm0Gv8ngB+yWZJ/Awwk7jNvuwQkXuBfwV8yBhTS/A3iYhj6Z3ADcDr/fFyyb/zE8ADIlIUkesI/fzJ5fYvg/cBLxljjkWMfo1nr3mI1Tw/L/fT6cQT51cIo+cX++FDF5/eSXjL9CLwvD0+APwpsNfynwC29tnPnYTZDy8A+6PxA8aA/w28CvwVMLoGxrQCnAGGE7y+jydhEDoJtAjXQB/sNX6EWRG/b8/VvcDuPvt5kHANNzpH/8Dq/rw9H54HngU+2Gc/e/6dgS/a8XwZuK+fflr+HwP/PKPbl/FcYh5atfMzfw1Djhw5cqwj5A9yc+TIkWMdIZ/0c+TIkWMdIZ/0c+TIkWMdIZ/0c+TIkWMdIZ/0c+TIkWMdIZ/0c+TIkWMdIZ/0c+TIkWMd4f8DchfFylCeJ7oAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] @@ -552,6 +543,160 @@ "print('Risky asset share function over market resources in each lifecycle period:')\n", "plotFuncs(AgeVaryingRiskPercType.ShareFunc, 0., 200.)" ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The code below tests the mathematical limits of the model." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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EhLJSQL8IXGVmmWbWFCj110g5bVlN0FddUf8bLrsZwfWIwgvkM4EuFqR8rkvQBxypvOVVNH11WaYQdCEdSZCWeQ7hy1WA0tJlrAY67O4FwPBXcScLUko3J+ja+dDdN8Yo/iWwObxwW8+CmwK6mtkR4fQXgRstSImdCfwuav4ZwC/D+fpRsismWmn7LJZ49sPtZpZmwbsY+hO8UhOCrrF17r7dgtxEv4xR/y0WpLjuAlxaSlvGAWeZ2WnhOtYNL3Znxihb3jrubgrzWIodw1Z+uvcaQ8GgFGF/58fA72NMPgL4wsy2EPxKGhH2CUfO/wNBQLjBwjt/wr7hrwm+sD8pY/H/JEh7PDMsX1a66LLaMgp4OjwNr8iLyZ8jyKe/mODi6l1h+xcQXHycTJDKOfr6xBMEL73fYGavxqi3QumryxJ2Y3wNzHH3neHoz4Hv3f3HUmYr/ELLMbOvd2OxBxCkot5McDFzB6VcT/Hg+ZT+BP3RSwiuNzxOkP4Zgn7678Np71Dy+tEI4CyCV2wOJniXRFli7rNSlLcfVhH8sFhB0Kf+Ww9SiQP8D3CHmW0mCCIvxqj/I4KulfeA0e7+TnSB8P/COQRdZ2sIzhR+T9nfSaUdl7uVwrwUoyj+f6bcdO81hXIT7WVm9iTBKyH/WG5hqTXC2yrHuXtZv4xLm3cpwd1lkyu7XdVFbVjHRNNDZ3tReHfDeUDPxLZERKQ4dRPtJRa8LWw2wduxliS6PSIikdRNJCIiOjMQEZEEXjPIyMjwDh06JGrxIiL7pOnTp6919xI5zfZUwoJBhw4dmDZtWqIWLyKyTzKzPX1aPSZ1E4mIiIKBiIgoGIiICAoGIiKCgoGIiKBgICIixBEMzOxJC95JO7uU6WZmYyx4/+i3Ztar8pspIiJVKZ4zg7EE7/MtzekEaV4PBoYD/4hnwfl5uaxfs5ytm9aRt720ty+KiMjeUG4wcPePgXVlFDkH+Ff4hrCpQBMzK+vVdQDsnL+AVcefzPdHHsuCnr1Y96+y3vUiIiJVqTKuGbSl+LtJsynl3aNmNtzMppnZNHP4rnsaHx6bT066kfPkU5XQFBER2R179QKyuz/m7r3dvTfAqqOvpGGXrbzV28hbtYq89ev3ZnNERCRUGcFgOcVfVJ1JnC+izmucSevcfH7ICIZ3LlGafxGRRKiMYDARuCS8q+goYKO7r4xnxvoN0qmbX4e1jQ2A3OUrKqE5IiJSUeVmLTWz8UBfIMPMsoHbgFQAd38EmAScQfAC7K3ApfEuvFH9VMhNZ22L4AU7ucvjOqEQEZFKVm4wcPeLypnuwP/uzsLT69dhZ14TclM3sLNRXXJX6MxARCQREvoEcuP6aaz1pjQvcDY3q6dgICKSIAkNBo3qp/EjTdgvL5d1jZMUDEREEiSxZwYN6vCjN6FlXh6r0vPIXbGCoNdJRET2poR3E632pmTm5bG0/lZ8+3by9ayBiMhel9BgULdOKquTWrJ/bh4rGuUDkPvDD4lskohIrZTQYJCUlMSWuq3ZPzeX7ObBswY7Fi1OZJNERGqlxL7PICmJ5PrNaJmXyo9NoCA1hR2LFiW0SSIitVHCg0HjBmk4zamXlMymVunsWLQwoU0SEamNEhoMzIwm9VJZRUuy8o1lLWDH/AWJbJKISK2U8DODjPQ6LM1vTrdtPzGz2eYge+natQltlohIbZPwYNAyvS4Ldzaj60+bWdAqeMZg2+yYb9gUEZEqkvBuov0a1SHbW9Br+w6WtARPMrZ/+20imyUiUusk/Mxgv/Q6LPI2ZBQU0CY9g9XtGvLT51MT2iwRkdomscHAjP3S6/K9t6LAUjgipTFftdvJtm+/JX/z5oQ2TUSkNkn4mUHLRnXIJYXN9dtxxI48pu2fB/n5bP3ii4Q2TUSkNkn4NYPmDeuQZLC6Tgd6r1/JgraQVz+NzZPfS2TTRERqlcQFgyD7BMlJRuvG9VhqbcnIWcqBzQ9hzmGN2fTOOxT89FPCmiciUpsktpso1K5ZPebktgHP58Rm3Xj5kPX41q1s+s/biW6aiEitkMBgYEWf2jWtz+fb2gJwYlJDvmvj7MxswYaXXtL7DURE9oKEdxMBtGtWn682N8frpJO1bjn7NWjJl8c2Z9uMGfz08ccJa6KISG1RbbqJnCS2teiOrfiak9qfxOMH/EBy+0x+HD0az8tLdBNFRGq0atFNdEBGQwBWNuwKq+dwTod+bGUniwcdw47/LmTDv/+dqEaKiNQK1aKb6KD9gmAwL+lgKMgja+tPHNL0EJ5uMZ96PXqwdsyDFGzdmqCGiojUfNWim6hBnRQym9bjo52dwJKxxR9y7kHnMnvdHLZdcSF5a9aQ89RTiW6miEiNVS26iQAOaZnOt2scMo+ARe9x9kFn0yC1AU8xhfTTTiPnn4+zY/GSBLVVRKRmqxbdRABd2zTivz9uZmeHE2HFDBrl7uTCThfy9vdvkzfiEpLq1GHFDTfoYrKISBWoFt1EAD3bN6XAYV6jYwCHeRO5OOtiUpNSeTj7eVqNuo3t337Lmgf/L9FNFRGpcRJ4ZlD81KBHuyYAfLq5NWR0gm9fJKNeBpd2vZS3lrzFgp4taDxwADmPPsrG199IRItFRGqshAWDqF4imjZI49BW6Xy6MAcOuwB++BxyFjGs6zDaNGjDXVPvounN11O/d29W3nwzP33+eULaLSJSE1WbbiKAn3VqwbTv1/FT1oWQnAafP0S9lHrcevStLNq4iNEz7qftg2NI69CBZb+9gi2ffJroJouI1AjV5m4igJM7tyQ333lnmUH3QfDNONi0kmPbHsulXS/lxQUv8sqP79L+6bGkHXAAy664gnXPPqv8RSIie6ja3E0EcHj7pmQ2rcdL07LhuGuCke/cDMDvev6OEzJP4K6pd/HWuk/Z/19P0/C441h9512suPZa8tat24uNFxGpWeIKBmbWz8zmm9lCM7shxvT2ZvaBmX1jZt+a2Rm71Zgk45d92jNlUQ5fb2kCx10Ns1+GOa+SmpTK6J+Npner3tz06U38c/GztP6/MbQYOYJN705m8Rlnsv6FF/Hc3N1ZtIhIrWbldbGYWTKwADgFyAa+Ai5y97kRZR4DvnH3f5hZFjDJ3TuUVW+3Ro191qaNJcb/tCOP4//yAYe0bMhzQ3uS9K+zYPUcuORVaHckO/N3cuuUW3lz8Zv02q8Xtx1zG21/zGflbaPY9vXXpGZm0uzSoTQ+6yySGzWq6PYQEanWzGy6u/eu7HrjOTM4Eljo7ovdfSfwPHBOVBkHCr95GwMryq01RjcRBKkpfn9aJ6YuXseDHy+DC5+B9Jbwr1/AzOdJS0rlz8f9mbuPu5v/rv8v5752LnesHsvWMTfR7tFHSG7alNV33sV/T/gZy3//Bza99Rb5mzbFsZoiIrVXPGcGA4F+7n5ZOHwx0Mfdr4wo0xp4B2gKNABOdvfpMeoaDgwH6NygweFzt2yJuUx355oXZ/Lvb5Zz+fEdufboxtT99zBYNhUO6Bt0H3U4npwdG3hy9pO8MP8FduTvoFPTTpyQeQLHbm5Fy8nfsvWdyeRv3AjJydTt0oV63bpRt1tX6nbqRGq79iQ3bLAbm0xEJHGq6sygsoLBNWFdfzOzo4EngK7uXlBavd0aN/FZGzeUuty8/AJumziHZ7/4gYyGdTi3e0vOz3uTAxc8RvK2HGjYEjqeAG16srFxW97aspg3f/yKWevmke/5JFkSHRq255h1GWQt2EbLxRtosGgVSdt2FC0jKaM5ae3bk7pfS1KaNSM5ozkpzTNIbtyIpAYNSKpfv9i/VqculpqCpaRgycnxbWERkUqUyGBwNDDK3U8Lh28EcPc/R5SZQxAwloXDi4Gj3P3H0uptmJLivY87rsxl9+/fn+POu5QnPl3CuFuG0aDrSWR0O55jtn/GtFefoiHbSKP4BeN8YFNyMj9ZEu2OaUqdE5qycms+Cx9eRovTMujcLp0GC7bz1RsrScuDtDwnJR9S8iE5KnQNbdaMExums2TnDkatWsXIFi3oWa8+32zbyn1r1oAF/WNuFH0u+hcYntmCro3qM2vzVv65bA3XHNiK9vXq8Nn6zby4ovjdT4XzRvafjTi4Fe3q1+HznM28nL2OW7La0jg1hXdWbeCd1SWvt0SLLj+6+/4AvLQshy/WxT4ri/TXHrvKz9u0jVu7ZALw5OIfmbdpW5nzpqcmFyu/KS+fkYe0BuD+BStZvnUnZR15mfXTGBGWf2DBStJTkhl2wH4A3Dknm025+WUuv3OjesXKd25Uj4HtmwPw+2++L3NegD7NGxYrf0qrxpzaugkbd+Zx15zl5c4fXX5Au2YclZHOsq07GDN/VbnzR5e/9IAWZDWuz9yNW3lq8Zpy548uf1Wn4FiaunYzLy8r/8676PJ/7NKWxmkpvLNyA++uKv/Yiy7/157BsTThhxy+yInj2IsoP2/TNm7pGnHsbSz72GuUmlys/ObcfEZ0Co+l+SvJ3rqzzPkz66cVK5+eGnHszY7j2Gtcr1j5yj72Zm3cWiXBICWOMl8BB5tZR2A5MAj4ZVSZH4CTgLFm1hmoC5R9xMb5y/qoA5pz1AHNmf9EU0488UA6n9CbJdltef+9j9lQAEkFuSQX7CDZd5LiuSR5AUkU0MALOHpHJv3XZ7Jxy1ZuyF3D6ZubkZXclKUZm5lZfw0FBj/hwRd6uDzLd8zBHD7vncbmDnVYv7qA9e8l8XX3VDZnpLJkVQqbvk7C3IOv7rCCos8En9dmJLOqaTLrU5PZudpY1zSZ+g2S2ZybTF5KjIsmXvxSyo66xvZ6Rm6aUZAUDqftGi5PdPnt9YLa81KJe36A/BSKlg+Ql1L+/NHl8z2ivuT45s+tY0WfC1KKD3t580eVz0+B3LRguLx5oWT5/JRgO+Zicc5fvHzhcF5uxeYvLJ+XGg6nxjd/dPnC4fyUis1fWD43rWLzR5cv3Jb5KfFt/8jyBRHzFyTHse+jyhfkRwzHc+wkFS9fkFzB+aPK7+1jb3eVe2YAEN4qej+QDDzp7n8yszuAae4+MbyD6J9AQ4Kvwz+4+ztl1dm7d2+fNm3aHq+AiEhtUlXdRPGcGeDuk4BJUeNujfg8Fzi2cpsmIiJ7S7XKTSQiIomhYCAiIgoGIiKiYCAiIigYiIgICgYiIoKCgYiIoGAgIiIoGIiICAoGIiKCgoGIiKBgICIiKBiIiAgKBiIigoKBiIigYCAiIigYiIgICgYiIoKCgYiIoGAgIiIoGIiICAoGIiKCgoGIiKBgICIiKBiIiAgKBiIigoKBiIigYCAiIigYiIgIkJKoBc+fP5++ffsWG3fBBRfwP//zP2zdupUzzjijxDxDhw5l6NChrF27loEDB5aYfsUVV3DhhReybNkyLr744hLTr732Ws466yzmz5/Pb37zmxLT//jHP3LyySczY8YMRo4cWWL63XffzTHHHMOUKVO46aabSky///776dGjB5MnT+auu+4qMf3RRx+lU6dOvP766/ztb38rMf2ZZ56hXbt2vPDCC/zjH/8oMX3ChAlkZGQwduxYxo4dW2L6pEmTqF+/Pg8//DAvvvhiiekffvghAKNHj+aNN94oNq1evXq89dZbANx555289957xaY3b96cl19+GYAbb7yRzz//vNj0zMxMxo0bB8DIkSOZMWNGsemHHHIIjz32GADDhw9nwYIFxab36NGD+++/H4AhQ4aQnZ1dbPrRRx/Nn//8ZwAGDBhATk5OseknnXQSt9xyCwCnn34627ZtKza9f//+XHfddQAljjvQsadjb9899iqLzgxERARz94QsuHfv3j5t2rSELFtEZF9lZtPdvXdl1xvXmYGZ9TOz+Wa20MxuKKXMBWY218zmmNlzldtMERGpSuVeMzCzZOAh4BQgG/jKzCa6+9yIMgcDNwLHuvt6M9uvqhosIiKVL54zgyOBhe6+2N13As8D50SVuRx4yN3XA7j7j5XbTBERqUrxBIO2wLKI4exwXKRDgEPM7DMzm2pm/SqrgSIiUvUq69bSFOBgoC+QCXxsZt3cfUNkITMbDgwHaN++fSUtWkRE9lQ8ZwbLgXYRw5nhuEjZwER3z3X3JcACguBQjLs/5u693b13ixYtdrfNIiJSyV7GvT8AABmqSURBVOIJBl8BB5tZRzNLAwYBE6PKvEpwVoCZZRB0Gy2uxHaKiEgVKjcYuHsecCXwNjAPeNHd55jZHWZ2dljsbSDHzOYCHwC/d/ec2DWKiEh1o4fORET2IQl96ExERGo2BQMREVEwEBERBQMREUHBQEREUDAQEREUDEREBAUDERFBwUBERFAwEBERFAxERAQFAxERQcFARERQMBARERQMREQEBQMREUHBQEREUDAQEREUDEREBAUDERFBwUBERICURDcgUm5uLtnZ2Wzfvj3RTan16tatS2ZmJqmpqYluiojsBdUqGGRnZ5Oenk6HDh0ws0Q3p9Zyd3JycsjOzqZjx46Jbo6I7AXVqpto+/btNG/eXIEgwcyM5s2b6wxNpBapVsEAUCCoJrQfRGqXahcMRERk71MwiOHVV1/FzPjuu+8Ssvxly5Zx4oknkpWVRZcuXXjggQcS0g4RqT0UDGIYP348xx13HOPHj0/I8lNSUvjb3/7G3LlzmTp1Kg899BBz585NSFtEpHaoVncTRbr99TnMXbGpUuvMatOI287qUmaZLVu28Omnn/LBBx9w1llncfvttwNQUFDAlVdeyfvvv0+7du1ITU1l2LBhDBw4kOnTp3PNNdewZcsWMjIyGDt2LK1bt97tdrZu3bpo/vT0dDp37szy5cvJysra7TpFRMqiM4Mor732Gv369eOQQw6hefPmTJ8+HYBXXnmFpUuXMnfuXJ555hk+//xzIHg24ne/+x0TJkxg+vTpDBs2jJtvvrlEvc8++yw9evQo8Tdw4MAy27N06VK++eYb+vTpU/krKyISqrZnBuX9gq8q48ePZ8SIEQAMGjSI8ePHc/jhh/Ppp59y/vnnk5SURKtWrTjxxBMBmD9/PrNnz+aUU04BID8/P+ZZweDBgxk8eHCF2rJlyxYGDBjA/fffT6NGjfZwzURESldtg0EirFu3jvfff59Zs2ZhZuTn52Nm/PWvfy11HnenS5cuRWcKpXn22Wdj1nPQQQcxYcKEEuNzc3MZMGAAgwcP5rzzzqv4yoiIVIC6iSJMmDCBiy++mO+//56lS5eybNkyOnbsyCeffMKxxx7Lyy+/TEFBAatXr+bDDz8EoFOnTqxZs6ZYt9GcOXNK1D148GBmzJhR4i9WIHB3fv3rX9O5c2euueaaKl1nERGIMxiYWT8zm29mC83shjLKDTAzN7PeldfEvWf8+PGce+65xcYNGDCA8ePHM2DAADIzM8nKymLIkCH06tWLxo0bk5aWxoQJE7j++uvp3r07PXr0YMqUKXvUjs8++4xnnnmG999/v+jawqRJk/aoThGRspi7l13ALBlYAJwCZANfARe5+9yocunAm0AacKW7Tyur3t69e/u0acWLzJs3j86dO1d0HfaaLVu20LBhQ3JycjjyyCP57LPPaNWqVaKbVWWq+/4QqY3MbLq7V/oP7niuGRwJLHT3xWFDngfOAaJvfL8TuBf4faW2sBrp378/GzZsYOfOndxyyy01OhCISO0STzBoCyyLGM4Git3naGa9gHbu/qaZlRoMzGw4MBygffv2FW9tghVeJxARqWn2+AKymSUBfweuLa+suz/m7r3dvXeLFi32dNEiIlJJ4gkGy4F2EcOZ4bhC6UBX4EMzWwocBUzcVy8ii4jURvEEg6+Ag82so5mlAYOAiYUT3X2ju2e4ewd37wBMBc4u7wKyiIhUH+UGA3fPA64E3gbmAS+6+xwzu8PMzq7qBoqISNWL65qBu09y90Pc/UB3/1M47lZ3nxijbN99/awg0SmsC+Xn59OzZ0/69++f0HaISM2nJ5BjSHQK60IPPPCA7vMXkb2i+uYmeusGWDWrcuts1Q1Ov6fMItUhhTVAdnY2b775JjfffDN///vf96guEZHy6MwgSnVJYT1y5Ej+8pe/kJSkXSQiVa/6nhmU8wu+qlSHFNZvvPEG++23H4cffrgedBORvaL6BoMEqC4prD/77DMmTpzIpEmT2L59O5s2bWLIkCGMGzdu91ZMRKQ87p6Qv8MPP9yjzZ07t8S4venRRx/14cOHFxt3wgkn+EcffeQvvviin3nmmZ6fn++rVq3ypk2b+ksvveQ7duzwAw880KdMmeLu7jt37vTZs2dXWps++OADP/PMMyutvopI9P4QkZKAaV4F38nqkI5QXVJYi4jsbeWmsK4qSmFd/VX3/SFSGyUyhbWElMJaRGoqBYMK0J09IlJT6ZqBiIgoGIiIiIKBiIigYCAiIigYxFQdUlhv2LCBgQMHcuihh9K5c+dyn3AWEdkTCgYxVIcU1iNGjKBfv3589913zJw5U/f7i0iVqra3lt775b18t65yf5kf2uxQrj/y+jLLVIcU1hs3buTjjz9m7NixAKSlpZGWlrbb9YmIlEdnBlGqQwrrJUuW0KJFCy699FJ69uzJZZddxk8//VS1Ky4itVq1PTMo7xd8VakOKazz8vL4+uuvefDBB+nTpw8jRozgnnvu4c4776yktRQRKa7aBoNEqC4prDMzM8nMzKRPnz4ADBw4kHvuScz7HUSkdlA3UYQJEyZw8cUX8/3337N06VKWLVtGx44d+eSTTzj22GN5+eWXKSgoYPXq1UWpKTp16sSaNWuKdRvNmTOnRN2DBw9mxowZJf6iAwFAq1ataNeuHfPnzwfgvffeIysrq+pWXERqPZ0ZRBg/fjzXX1+8e6owhfVDDz1U9KXcrl27Eimsr7rqKjZu3EheXh4jR46kS5cue9SWBx98kMGDB7Nz504OOOAAnnrqqT2qT0SkLEphXQFKYS0iiaYU1tWAUliLSE2lYFABSmEtIjWVLiCLiIiCgYiIKBiIiAgKBiIigoJBTNUhhfV9991Hly5d6Nq1KxdddBHbt29PWFtEpOZTMIgh0Smsly9fzpgxY5g2bRqzZ88mPz+f559/PiFtEZHaodreWrrq7rvZMa9yf5nX6XworW66qcwy1SGFNQTJ6rZt20Zqaipbt26lTZs2e1SfiEhZ4jozMLN+ZjbfzBaa2Q0xpl9jZnPN7Fsze8/M9q/8pu4d1SGFddu2bbnuuuto3749rVu3pnHjxpx66qlVu+IiUquVe2ZgZsnAQ8ApQDbwlZlNdPe5EcW+AXq7+1YzuwL4C3DhnjSsvF/wVaU6pLBev349r732GkuWLKFJkyacf/75jBs3jiFDhlTSWoqIFBdPN9GRwEJ3XwxgZs8D5wBFwcDdP4goPxXYJ7+1qksK68mTJ9OxY0datGgBwHnnnceUKVMUDESkysTTTdQWWBYxnB2OK82vgbdiTTCz4WY2zcymrVmzJv5W7iXVJYV1+/btmTp1Klu3bsXdee+995QwTkSqVKXeTWRmQ4DeQMyf0u7+mLv3dvfehb96q5Px48dz7rnnFhtXmMJ6wIABZGZmkpWVxZAhQ0qksL7++uvp3r07PXr0YMqUKXvUjj59+jBw4EB69epFt27dKCgoYPjw4XtUp4hIWcpNYW1mRwOj3P20cPhGAHf/c1S5k4EHgZ+5+4/lLVgprKu/6r4/RGqjRKaw/go42Mw6AsuBQcAvoxrXE3gU6BdPINhXKYW1iNRU5QYDd88zsyuBt4Fk4El3n2NmdwDT3H0iQbdQQ+AlMwP4wd3PrsJ2J4RSWItITRXXQ2fuPgmYFDXu1ojPJ1dyu0REZC9SOgoREVEwEBERBQMREUHBoAQzK/akb15eHi1atKB///5F415//XWysrLo2rVriTxE8+fPp2/fvvTo0YPOnTvHfD5g6dKldO3atcT4W2+9lcmTJ8fd1hUrVhTlNpoxYwaTJk0qZw4RkdiqbdbSRGnQoAGzZ89m27Zt1KtXj3fffZe2bYs/cD1y5MiilBFLliwpNu2qq67i6quv5pxzzgFg1qxZcS/7jjvuqFBb27RpU/QE84wZM5g2bRpnnHFGheoQEYFqfmbQt2/fEn8PP/wwAFu3bo05fezYsQCsXbu2xLR4nXHGGbz55ptA8FTyRRddVGx6Wloa2dnZAHTs2LHYtJUrV5KZmVk03K1bt7iXO3To0KIv9w4dOnDjjTfSo0cPevfuzddff81pp53GgQceyCOPPALsOsPYuXMnt956Ky+88AI9evTghRdeiHuZIiJQzYNBogwaNIjnn3+e7du38+2339KnT5+iaQUFBWRlZTFs2DCWLl1aYt6rr76an//855x++uncd999bNiwYbfb0b59e2bMmMHxxx9fFCimTp3KbbfdVqxcWload9xxBxdeeCEzZszgwgv3KGGsiNRC1bqbqKyHvOrXr1/m9IyMjN1+SOywww5j6dKljB8/vkS3y4MPPkj37t254oorOOuss3j//fdZunQp9957LxMmTODSSy/ltNNO4z//+Q+vvfYajz76KDNnzqROnToVbsfZZwfP7XXr1o0tW7aQnp5Oeno6derU2aMgIyISTWcGpTj77LO57rrrSnQRvf3225xwwgmcfPLJ3HLLLZx55pk8/fTTDBo0qKhMmzZtGDZsGK+99hopKSnMnj17t9pQGECSkpKKBZOkpCTy8vJ2q04RkVgUDEoxbNgwbrvtthJ9/j179mTcuHEUFBRwwQUXcPDBB/Pcc89x5plnAvCf//yH3NxcAFatWkVOTk6JC9BVIT09nc2bN1f5ckSkZlIwKEVmZiZXXXVVifE333wz7k7Xrl05/PDDadmyJb/5zW/45S9/SUFBAe+88w5du3ale/funHbaafz1r3+NmdBu/vz5ZGZmFv299NJLe9TeE088kblz5+oCsojslnJTWFeVfTGFdW2j/SFS/VRVCmudGYiIiIKBiIgoGIiICAoGIiKCgoGIiKBgICIiKBiUYGZce+21RcOjR49m1KhRiWtQhL59+xJ9O+60adNiPg9Rlssuu4y5c+cCcPfdd1da+0Rk36VgEKVOnTq88sorrF27NiHLr2iaid69ezNmzJgKzfP444+TlZUFKBiISKBaJ6qLJ+10//79ue6664rKDx06lKFDh7J27dqiF78UiidxXUpKCsOHD+e+++7jT3/6U7FpQ4cOpX///kX1NmzYkC1btvDhhx9y22230aRJE2bNmsUFF1xAt27deOCBB9i2bRuvvvoqBx54IGvWrOG3v/0tP/zwAwD3338/xx57LKNGjWLRokUsXryY9u3bM378+Di2zq51Gj16NG+88QajRo1iyZIlLF68mB9++IH77ruPqVOn8tZbb9G2bVtef/11UlNT6du3L6NHj2bChAls27aNHj160KVLF5599tm4lysiNYvODGL43//9X5599lk2btwY9zwzZ87kkUceYd68eTzzzDMsWLCAL7/8kssuu4wHH3wQgBEjRnD11Vfz1Vdf8fLLL3PZZZcVzT937lwmT55coUAQy6JFi3j//feZOHEiQ4YM4cQTT2TWrFnUq1ev6B0Nhe655x7q1avHjBkzFAhEarlqfWZQ0RTUkeX3JIV1o0aNuOSSSxgzZgz16tWLa54jjjiC1q1bA3DggQdy6qmnAkH66Q8++ACAyZMnF/XVA2zatIktW7YAQZbUeJdVltNPP53U1FS6detGfn4+/fr1K2pHrPcviIhANQ8GiTRy5Eh69erFpZdeWjQuJSWFgoICIHjJzc6dO4umRaeYjkw/XXgdoKCggKlTp1K3bt0Sy2vQoEGltDtyuampqZhZiXaIiERTN1EpmjVrxgUXXMATTzxRNK5Dhw5Mnz4dgIkTJxalqo7XqaeeWtRlBMF7ixMtNTW1wushIjWPgkEZrr322mJ3FV1++eV89NFHdO/enc8//7zCv+bHjBnDtGnTOOyww8jKyip6l3G0Hj16lFrHmWeeWZT2+vzzz6/Q8mMZPnw4hx12GIMHD97jukRk36UU1lIq7Q+R6kcprEVEpMooGIiISPULBonqtpLitB9EapdqFQzq1q1LTk6OvogSzN3JycmJeQusiNRM1eo5g8zMTLKzs1mzZk2im1Lr1a1bl8zMzEQ3Q0T2kmoVDFJTU+nYsWOimyEiUuvE1U1kZv3MbL6ZLTSzG2JMr2NmL4TTvzCzDpXdUBERqTrlBgMzSwYeAk4HsoCLzCwrqtivgfXufhBwH3BvZTdURESqTjxnBkcCC919sbvvBJ4Hzokqcw7wdPh5AnCSFSbFERGRai+eawZtgWURw9lAn9LKuHuemW0EmgPF3hBjZsOB4eHgDjObvTuNroEyiNpWtZi2xS7aFrtoW+zSqSoq3asXkN39MeAxADObVhWPVO+LtC120bbYRdtiF22LXcxsWvmlKi6ebqLlQLuI4cxwXMwyZpYCNAZyKqOBIiJS9eIJBl8BB5tZRzNLAwYBE6PKTAR+FX4eCLzvenJMRGSfUW43UXgN4ErgbSAZeNLd55jZHcA0d58IPAE8Y2YLgXUEAaM8j+1Bu2sabYtdtC120bbYRdtilyrZFglLYS0iItVHtcpNJCIiiaFgICIiiQkG5aW32NeZWTsz+8DM5prZHDMbEY5vZmbvmtl/w3+bhuPNzMaE2+NbM+sVUdevwvL/NbNflbbM6s7Mks3sGzN7IxzuGKYuWRimMkkLx5ea2sTMbgzHzzez0xKzJnvGzJqY2QQz+87M5pnZ0bX1uDCzq8P/H7PNbLyZ1a0tx4WZPWlmP0Y+a1WZx4GZHW5ms8J5xsT1ELC779U/govQi4ADgDRgJpC1t9tRxevYGugVfk4HFhCk8vgLcEM4/gbg3vDzGcBbgAFHAV+E45sBi8N/m4afmyZ6/XZzm1wDPAe8EQ6/CAwKPz8CXBF+/h/gkfDzIOCF8HNWeKzUATqGx1ByotdrN7bD08Bl4ec0oEltPC4IHlRdAtSLOB6G1pbjAjgB6AXMjhhXaccB8GVY1sJ5Ty+3TQnYCEcDb0cM3wjcmOidU8Xr/BpwCjAfaB2Oaw3MDz8/ClwUUX5+OP0i4NGI8cXK7St/BM+mvAf8HHgjPEDXAinRxwTBXWtHh59TwnIWfZxElttX/giev1lCeONG9P6uTccFu7IWNAv38xvAabXpuAA6RAWDSjkOwmnfRYwvVq60v0R0E8VKb9E2Ae3YK8LT2Z7AF0BLd18ZTloFtAw/l7ZNasq2uh/4A1AQDjcHNrh7XjgcuV7FUpsAhalNasK26AisAZ4Ku8weN7MG1MLjwt2XA6OBH4CVBPt5OrXzuChUWcdB2/Bz9Pgy6QJyFTKzhsDLwEh33xQ5zYOQXePv6zWz/sCP7j490W2pBlIIugb+4e49gZ8IugOK1KLjoilBgsuOQBugAdAvoY2qRhJxHCQiGMST3mKfZ2apBIHgWXd/JRy92sxah9NbAz+G40vbJjVhWx0LnG1mSwky3v4ceABoYkHqEii+XqWlNqkJ2yIbyHb3L8LhCQTBoTYeFycDS9x9jbvnAq8QHCu18bgoVFnHwfLwc/T4MiUiGMST3mKfFl65fwKY5+5/j5gUmbbjVwTXEgrHXxLeNXAUsDE8XXwbONXMmoa/pE4Nx+0z3P1Gd8909w4E+/p9dx8MfECQugRKbotYqU0mAoPCu0o6AgcTXCTbZ7j7KmCZmRVmnTwJmEstPC4IuoeOMrP64f+Xwm1R646LCJVyHITTNpnZUeG2vSSirtIl6MLJGQR32CwCbk70hZwqWL/jCE7xvgVmhH9nEPRxvgf8F5gMNAvLG8ELhBYBs4DeEXUNAxaGf5cmet32cLv0ZdfdRAcQ/KddCLwE1AnH1w2HF4bTD4iY/+ZwG80njrsjquMf0AOYFh4brxLcBVIrjwvgduA7YDbwDMEdQbXiuADGE1wrySU4Y/x1ZR4HQO9wuy4C/o+omxZi/SkdhYiI6AKyiIgoGIiICAoGIiKCgoGIiKBgICIiKBjIPsLM7jOzkRHDb5vZ4xHDfzOza3aj3lFmdl34eaiZtYmYttTMMuKoo6eZPVHB5T5vZgdXtL0iVUXBQPYVnwHHAJhZEpABdImYfgwwZQ+XMZQgNUJF3QSMqeA8/yDI1yRSLSgYyL5iCkEWSwiCwGxgc/j0ZR2gM/B1mMf9IzObHp49FD7ef7mZfWVmM83sZTOrH1m5mQ0keFDnWTObYWb1wkm/M7Ovw9zwh0Y3yszSgcPcfWY4PMrMnjazT8zsezM7z8z+Es7/nzBNCcAnwMkRqRdEEkrBQPYJ7r4CyDOz9gRnAZ8TZII9muBLfBbBU98PAgPd/XDgSeBPYRWvuPsR7t4dmEfwxGdk/RMIngwe7O493H1bOGmtu/ci+CV/XYymFT7pGelAghxMZwPjgA/cvRuwDTgzXF4BwVOj3Xdjc4hUOv0qkX3JFIJAcAzwd4K0vMcQpDP+DOgEdAXeDV/slEzwyD9AVzO7i+BlMg2JP5dPYZLB6cB5Maa3JkhLHektd881s1lhG/4Tjp9FkMO+0I8E3VLK6CoJp2Ag+5LC6wbdCH6NLwOuBTYBTxHkcJnj7kfHmHcs8At3n2lmQwnyJMVjR/hvPrH/v2wjyJtTYh53LzCzXN+V86Ugqo664fwiCaduItmXTAH6A+vcPd/d1xH80j86nDYfaGFmR0OQRtzMCi8ypwMrwz77waXUvzksVxHzgIMqOE+hQyjZxSSSEAoGsi+ZRXAX0dSocRvdfa277yRIb3yvmc0kyBZ7TFjuFoJrDJ8RZMqMZSzwSNQF5DK5+3dA4/BCctzMrCWwzYO01iIJp6ylInvIzK4GNrv74+UWLj7PJnev0PMJIlVFZwYie+4f7Lq2EK8NwNNV0BaR3aIzAxER0ZmBiIgoGIiICAoGIiKCgoGIiKBgICIiwP8DSlq+v5T44icAAAAASUVORK5CYII=\n", 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import os\n", + "\n", + "# They assume its a polinomial of age. Here are the coefficients\n", + "a=-2.170042+2.700381\n", + "b1=0.16818\n", + "b2=-0.0323371/10\n", + "b3=0.0019704/100\n", + "\n", + "time_params = {'Age_born': 0, 'Age_retire': 8, 'Age_death': 9}\n", + "t_start = time_params['Age_born']\n", + "t_ret = time_params['Age_retire'] # We are currently interpreting this as the last period of work\n", + "t_end = time_params['Age_death']\n", + "\n", + "# They assume retirement income is a fraction of labor income in the\n", + "# last working period\n", + "repl_fac = 0.68212\n", + "\n", + "# Compute average income at each point in (working) life\n", + "f = np.arange(t_start, t_ret+1,1)\n", + "f = a + b1*f + b2*(f**2) + b3*(f**3)\n", + "det_work_inc = np.exp(f)\n", + "\n", + "# Retirement income\n", + "det_ret_inc = repl_fac*det_work_inc[-1]*np.ones(t_end - t_ret)\n", + "\n", + "# Get a full vector of the deterministic part of income\n", + "det_income = np.concatenate((det_work_inc, det_ret_inc))\n", + "\n", + "# ln Gamma_t+1 = ln f_t+1 - ln f_t\n", + "gr_fac = np.exp(np.diff(np.log(det_income)))\n", + "\n", + "# Now we have growth factors for T_end-1 periods.\n", + "\n", + "# Finally define the normalization factor used by CGM, for plots.\n", + "# ### IMPORTANT ###\n", + "# We adjust this normalization factor for what we believe is a typo in the\n", + "# original article. See the REMARK jupyter notebook for details.\n", + "norm_factor = det_income * np.exp(0)\n", + "\n", + "# Create a grid of market resources for the plots\n", + " \n", + "mMin = 0 # Minimum ratio of assets to income to plot\n", + "mMax = 1e4 # Maximum ratio of assets to income to plot\n", + "mPts = 1000 # Number of points to plot \n", + "\n", + "eevalgrid = np.linspace(0,mMax,mPts) # range of values of assets for the plot\n", + "\n", + "# Number of points that will be used to approximate the risky distribution\n", + "risky_count_grid = [5,50]\n", + "\n", + "\n", + "# %% Calibration and solution\n", + "\n", + "for rcount in risky_count_grid:\n", + " \n", + " # Create a new dictionary and replace the number of points that\n", + " # approximate the risky return distribution\n", + " \n", + " # Create new dictionary\n", + " merton_dict = init_lifecycle.copy()\n", + " merton_dict['RiskyCount'] = rcount\n", + "\n", + " # Create and solve agent\n", + " agent = PortfolioConsumerType(**merton_dict)\n", + " agent.solve()\n", + "\n", + " # Compute the analytical Merton-Samuelson limiting portfolio share\n", + " RiskyVar = agent.RiskyStd**2\n", + " RiskPrem = agent.RiskyAvg - agent.Rfree\n", + " MS_limit = RiskyShareMertSamLogNormal(RiskPrem,\n", + " agent.CRRA,\n", + " RiskyVar)\n", + " \n", + " # Now compute the limiting share numerically, using the approximated\n", + " # distribution\n", + " agent.updateShareLimit()\n", + " NU_limit = agent.ShareLimit\n", + " \n", + " # Plot by ages\n", + " ages = [2, 4, 6, 8]\n", + " age_born = time_params['Age_born']\n", + " plt.figure()\n", + " for a in ages:\n", + " plt.plot(eevalgrid,\n", + " agent.solution[a-age_born]\\\n", + " .ShareFuncAdj(eevalgrid/\n", + " norm_factor[a-age_born]),\n", + " label = 'Age = %i' %(a))\n", + " \n", + " plt.axhline(MS_limit, c='k', ls='--', label = 'M&S Limit')\n", + " plt.axhline(NU_limit, c='k', ls='-.', label = 'Numer. Limit')\n", + "\n", + " plt.ylim(0,1.05)\n", + " plt.xlim(eevalgrid[0],eevalgrid[-1])\n", + " plt.legend()\n", + " plt.title('Risky Portfolio Share by Age\\n Risky distribution with {points} equiprobable points'.format(points = rcount))\n", + " plt.xlabel('Wealth (m)')\n", + "\n", + " plt.ioff()\n", + " plt.draw()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { @@ -576,6 +721,37 @@ "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.5" + }, + "latex_envs": { + "LaTeX_envs_menu_present": true, + "autoclose": false, + "autocomplete": true, + "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, diff --git a/examples/ConsumptionSaving/example_ConsPortfolioModel.py b/examples/ConsumptionSaving/example_ConsPortfolioModel.py index 635632d28..a9bf2a6fd 100644 --- a/examples/ConsumptionSaving/example_ConsPortfolioModel.py +++ b/examples/ConsumptionSaving/example_ConsPortfolioModel.py @@ -1,3 +1,4 @@ +# %% ''' Example implementations of HARK.ConsumptionSaving.ConsPortfolioModel ''' @@ -9,6 +10,7 @@ import numpy as np import matplotlib.pyplot as plt +# %% # Make and solve an example portfolio choice consumer type print('Now solving an example portfolio choice problem; this might take a moment...') MyType = PortfolioConsumerType() @@ -20,12 +22,14 @@ MyType.ShareFunc = [MyType.solution[t].ShareFuncAdj for t in range(MyType.T_cycle)] print('Solving an infinite horizon portfolio choice problem took ' + str(t1-t0) + ' seconds.') +# %% # Compute the Merton-Samuelson limiting portfolio share when returns are lognormal MyType.RiskyVar = MyType.RiskyStd**2 MyType.RiskPrem = MyType.RiskyAvg - MyType.Rfree def RiskyShareMertSamLogNormal(RiskPrem,CRRA,RiskyVar): return RiskPrem/(CRRA*RiskyVar) +# %% # Plot the consumption and risky-share functions print('Consumption function over market resources:') plotFuncs(MyType.cFunc[0], 0., 20.) @@ -42,17 +46,20 @@ def RiskyShareMertSamLogNormal(RiskPrem,CRRA,RiskyVar): ,lambda m: MyType.ShareLimit*np.ones_like(m) ] , 0., 200.) +# %% # Now simulate this consumer type MyType.track_vars = ['cNrmNow', 'ShareNow', 'aNrmNow', 't_age'] MyType.T_sim = 100 MyType.initializeSim() MyType.simulate() +# %% print('\n\n\n') print('For derivation of the numerical limiting portfolio share') print('as market resources approach infinity, see') print('http://www.econ2.jhu.edu/people/ccarroll/public/lecturenotes/AssetPricing/Portfolio-CRRA/') +# %% "" # Make another example type, but this one optimizes risky portfolio share only # on the discrete grid of values implicitly chosen by RiskyCount, using explicit @@ -61,6 +68,7 @@ def RiskyShareMertSamLogNormal(RiskPrem,CRRA,RiskyVar): init_discrete_share['DiscreteShareBool'] = True init_discrete_share['vFuncBool'] = True # Have to actually construct value function for this to work +# %% # Make and solve a discrete portfolio choice consumer type print('Now solving a discrete choice portfolio problem; this might take a minute...') DiscreteType = PortfolioConsumerType(**init_discrete_share) @@ -72,6 +80,7 @@ def RiskyShareMertSamLogNormal(RiskPrem,CRRA,RiskyVar): DiscreteType.ShareFunc = [DiscreteType.solution[t].ShareFuncAdj for t in range(DiscreteType.T_cycle)] print('Solving an infinite horizon discrete portfolio choice problem took ' + str(t1-t0) + ' seconds.') +# %% # Plot the consumption and risky-share functions print('Consumption function over market resources:') plotFuncs(DiscreteType.cFunc[0], 0., 50.) @@ -88,14 +97,17 @@ def RiskyShareMertSamLogNormal(RiskPrem,CRRA,RiskyVar): ] , 0., 200.) +# %% print('\n\n\n') +# %% "" # Make another example type, but this one can only update their risky portfolio # share in any particular period with 15% probability. init_sticky_share = init_portfolio.copy() init_sticky_share['AdjustPrb'] = 0.15 +# %% # Make and solve a discrete portfolio choice consumer type print('Now solving a portfolio choice problem with "sticky" portfolio shares; this might take a moment...') StickyType = PortfolioConsumerType(**init_sticky_share) @@ -108,10 +120,12 @@ def RiskyShareMertSamLogNormal(RiskPrem,CRRA,RiskyVar): StickyType.ShareFunc = [StickyType.solution[t].ShareFuncAdj for t in range(StickyType.T_cycle)] print('Solving an infinite horizon sticky portfolio choice problem took ' + str(t1-t0) + ' seconds.') +# %% # Plot the consumption and risky-share functions print('Consumption function over market resources when the agent can adjust his portfolio:') plotFuncs(StickyType.cFuncAdj[0], 0., 50.) +# %% print("Consumption function over market resources when the agent CAN'T adjust, by current share:") M = np.linspace(0., 50., 200) for s in np.linspace(0.,1.,21): @@ -121,6 +135,7 @@ def RiskyShareMertSamLogNormal(RiskPrem,CRRA,RiskyVar): plt.ylim(0.,None) plt.show() +# %% print('Risky asset share function over market resources (when possible to adjust):') print('Optimal (blue) versus Theoretical Limit (orange)') plt.xlabel('Normalized Market Resources') @@ -130,9 +145,7 @@ def RiskyShareMertSamLogNormal(RiskPrem,CRRA,RiskyVar): ,lambda m: StickyType.ShareLimit*np.ones_like(m) ] , 0., 200.) - - - +# %% "" # Make another example type, but this one has *age-varying* perceptions of risky asset returns. # Begin by making a lifecycle dictionary, but adjusted for the portfolio choice model. @@ -146,6 +159,7 @@ def RiskyShareMertSamLogNormal(RiskPrem,CRRA,RiskyVar): init_age_varying_risk_perceptions['CRRA'] = init_portfolio['CRRA'] init_age_varying_risk_perceptions['DiscFac'] = init_portfolio['DiscFac'] +# %% init_age_varying_risk_perceptions['RiskyAvg'] = 10*[1.08] init_age_varying_risk_perceptions['RiskyStd'] = [0.20,0.21,0.22,0.23,0.24,0.25,0.26,0.27,0.28,0.29] init_age_varying_risk_perceptions['RiskyAvgTrue'] = 1.08 @@ -153,6 +167,7 @@ def RiskyShareMertSamLogNormal(RiskPrem,CRRA,RiskyVar): AgeVaryingRiskPercType = PortfolioConsumerType(**init_age_varying_risk_perceptions) AgeVaryingRiskPercType.cycles = 1 +# %% # Solve the agent type with age-varying risk perceptions print('Now solving a portfolio choice problem with age-varying risk perceptions...') t0 = time() @@ -162,8 +177,119 @@ def RiskyShareMertSamLogNormal(RiskPrem,CRRA,RiskyVar): t1 = time() print('Solving a ' + str(AgeVaryingRiskPercType.T_cycle) + ' period portfolio choice problem with age-varying risk perceptions took ' + str(t1-t0) + ' seconds.') +# %% # Plot the consumption and risky-share functions print('Consumption function over market resources in each lifecycle period:') plotFuncs(AgeVaryingRiskPercType.cFunc, 0., 20.) print('Risky asset share function over market resources in each lifecycle period:') plotFuncs(AgeVaryingRiskPercType.ShareFunc, 0., 200.) + +# %% [markdown] +# The code below tests the mathematical limits of the model. + +# %% +import os + +# They assume its a polinomial of age. Here are the coefficients +a=-2.170042+2.700381 +b1=0.16818 +b2=-0.0323371/10 +b3=0.0019704/100 + +time_params = {'Age_born': 0, 'Age_retire': 8, 'Age_death': 9} +t_start = time_params['Age_born'] +t_ret = time_params['Age_retire'] # We are currently interpreting this as the last period of work +t_end = time_params['Age_death'] + +# They assume retirement income is a fraction of labor income in the +# last working period +repl_fac = 0.68212 + +# Compute average income at each point in (working) life +f = np.arange(t_start, t_ret+1,1) +f = a + b1*f + b2*(f**2) + b3*(f**3) +det_work_inc = np.exp(f) + +# Retirement income +det_ret_inc = repl_fac*det_work_inc[-1]*np.ones(t_end - t_ret) + +# Get a full vector of the deterministic part of income +det_income = np.concatenate((det_work_inc, det_ret_inc)) + +# ln Gamma_t+1 = ln f_t+1 - ln f_t +gr_fac = np.exp(np.diff(np.log(det_income))) + +# Now we have growth factors for T_end-1 periods. + +# Finally define the normalization factor used by CGM, for plots. +# ### IMPORTANT ### +# We adjust this normalization factor for what we believe is a typo in the +# original article. See the REMARK jupyter notebook for details. +norm_factor = det_income * np.exp(0) + +# Create a grid of market resources for the plots + +mMin = 0 # Minimum ratio of assets to income to plot +mMax = 1e4 # Maximum ratio of assets to income to plot +mPts = 1000 # Number of points to plot + +eevalgrid = np.linspace(0,mMax,mPts) # range of values of assets for the plot + +# Number of points that will be used to approximate the risky distribution +risky_count_grid = [5,50] + + +# %% Calibration and solution + +for rcount in risky_count_grid: + + # Create a new dictionary and replace the number of points that + # approximate the risky return distribution + + # Create new dictionary + merton_dict = init_lifecycle.copy() + merton_dict['RiskyCount'] = rcount + + # Create and solve agent + agent = PortfolioConsumerType(**merton_dict) + agent.solve() + + # Compute the analytical Merton-Samuelson limiting portfolio share + RiskyVar = agent.RiskyStd**2 + RiskPrem = agent.RiskyAvg - agent.Rfree + MS_limit = RiskyShareMertSamLogNormal(RiskPrem, + agent.CRRA, + RiskyVar) + + # Now compute the limiting share numerically, using the approximated + # distribution + agent.updateShareLimit() + NU_limit = agent.ShareLimit + + # Plot by ages + ages = [2, 4, 6, 8] + age_born = time_params['Age_born'] + plt.figure() + for a in ages: + plt.plot(eevalgrid, + agent.solution[a-age_born]\ + .ShareFuncAdj(eevalgrid/ + norm_factor[a-age_born]), + label = 'Age = %i' %(a)) + + plt.axhline(MS_limit, c='k', ls='--', label = 'M&S Limit') + plt.axhline(NU_limit, c='k', ls='-.', label = 'Numer. Limit') + + plt.ylim(0,1.05) + plt.xlim(eevalgrid[0],eevalgrid[-1]) + plt.legend() + plt.title('Risky Portfolio Share by Age\n Risky distribution with {points} equiprobable points'.format(points = rcount)) + plt.xlabel('Wealth (m)') + + plt.ioff() + plt.draw() + + +# %% + +# %%