diff --git a/Documentation/CHANGELOG.md b/Documentation/CHANGELOG.md index f6b53e920..1dfa9f458 100644 --- a/Documentation/CHANGELOG.md +++ b/Documentation/CHANGELOG.md @@ -21,6 +21,7 @@ Release Date: TBD ### Minor Changes * Updates the lognormal-income-process constructor from `ConsIndShockModel.py` to use `IndexDistribution`. [#1024](https://github.com/econ-ark/HARK/pull/1024) +* Allows for age-varying unemployment probabilities and replacement incomes with the lognormal income process constructor. [#1112](https://github.com/econ-ark/HARK/pull/1112) ### 0.12.0 diff --git a/HARK/ConsumptionSaving/ConsIndShockModel.py b/HARK/ConsumptionSaving/ConsIndShockModel.py index f36403497..48cfc2af8 100644 --- a/HARK/ConsumptionSaving/ConsIndShockModel.py +++ b/HARK/ConsumptionSaving/ConsIndShockModel.py @@ -2695,8 +2695,32 @@ def construct_lognormal_income_process_unemployment(self): normal_length = T_cycle retire_length = 0 - UnempPrb_list = [UnempPrb] * normal_length + [UnempPrbRet] * retire_length - IncUnemp_list = [IncUnemp] * normal_length + [IncUnempRet] * retire_length + # Unemployment parametrs can be given either as: + if all( + [ + isinstance(x, float) + for x in [UnempPrb, IncUnemp, UnempPrbRet, IncUnempRet] + ] + ): + + UnempPrb_list = [UnempPrb] * normal_length + [UnempPrbRet] * retire_length + IncUnemp_list = [IncUnemp] * normal_length + [IncUnempRet] * retire_length + + elif all([isinstance(x, list) for x in [UnempPrb, IncUnemp]]): + + UnempPrb_list = UnempPrb + IncUnemp_list = IncUnemp + + else: + + raise Exception( + "Unemployment must be specified either using floats for UnempPrb," + + "IncUnemp, UnempPrbRet, and IncUnempRet, in which case the " + + "unemployment probability and income change only with retirement, or " + + "using lists of length T_cycle for UnempPrb and IncUnemp, specifying " + + "each feature at every age." + ) + PermShkCount_list = [PermShkCount] * normal_length + [1] * retire_length TranShkCount_list = [TranShkCount] * normal_length + [1] * retire_length diff --git a/HARK/ConsumptionSaving/tests/test_ConsMarkovModel.py b/HARK/ConsumptionSaving/tests/test_ConsMarkovModel.py index c7595c175..0f6d29fd3 100644 --- a/HARK/ConsumptionSaving/tests/test_ConsMarkovModel.py +++ b/HARK/ConsumptionSaving/tests/test_ConsMarkovModel.py @@ -54,7 +54,7 @@ def setUp(self): init_serial_unemployment["MrkvArray"] = [MrkvArray] init_serial_unemployment[ "UnempPrb" - ] = 0 # to make income distribution when employed + ] = 0.0 # to make income distribution when employed init_serial_unemployment["global_markov"] = False self.model = MarkovConsumerType(**init_serial_unemployment) self.model.cycles = 0 diff --git a/HARK/ConsumptionSaving/tests/test_modelInits.py b/HARK/ConsumptionSaving/tests/test_modelInits.py index 38fef2d19..4327d20dd 100644 --- a/HARK/ConsumptionSaving/tests/test_modelInits.py +++ b/HARK/ConsumptionSaving/tests/test_modelInits.py @@ -91,7 +91,7 @@ def test_MarkovConsumerType(self): init_serial_unemployment["MrkvArray"] = [MrkvArray] init_serial_unemployment[ "UnempPrb" - ] = 0 # to make income distribution when employed + ] = 0.0 # to make income distribution when employed init_serial_unemployment["global_markov"] = False SerialUnemploymentExample = MarkovConsumerType(**init_serial_unemployment) except: diff --git a/examples/ConsumptionSaving/example_ConsMarkovModel.ipynb b/examples/ConsumptionSaving/example_ConsMarkovModel.ipynb index 30444f50f..a5532b630 100644 --- a/examples/ConsumptionSaving/example_ConsMarkovModel.ipynb +++ b/examples/ConsumptionSaving/example_ConsMarkovModel.ipynb @@ -154,7 +154,7 @@ "# Make a consumer with serially correlated unemployment, subject to boom and bust cycles\n", "init_serial_unemployment = copy(init_idiosyncratic_shocks)\n", "init_serial_unemployment[\"MrkvArray\"] = [MrkvArray]\n", - "init_serial_unemployment[\"UnempPrb\"] = 0 # to make income distribution when employed\n", + "init_serial_unemployment[\"UnempPrb\"] = 0.0 # to make income distribution when employed\n", "init_serial_unemployment[\"global_markov\"] = False\n", "SerialUnemploymentExample = MarkovConsumerType(**init_serial_unemployment)\n", "SerialUnemploymentExample.cycles = 0\n", @@ -210,13 +210,13 @@ "name": "stdout", "output_type": "stream", "text": [ - "Solving a Markov consumer with serially correlated unemployment took 0.3363 seconds.\n", + "Solving a Markov consumer with serially correlated unemployment took 0.3281 seconds.\n", "Consumption functions for each discrete state:\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -358,7 +358,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Solving an \"unemployment immunity\" consumer took 0.3605 seconds.\n", + "Solving an \"unemployment immunity\" consumer took 0.3750 seconds.\n", "Consumption functions for each discrete state:\n" ] }, @@ -366,23 +366,23 @@ "name": "stderr", "output_type": "stream", "text": [ - "/home/sb/projects/econ-ark/HARK/HARK/interpolation.py:2027: RuntimeWarning: All-NaN slice encountered\n", + "C:\\GitHub\\HARK\\HARK\\interpolation.py:2188: RuntimeWarning: All-NaN slice encountered\n", " y = self.compare(fx, axis=1)\n", - "/home/sb/projects/econ-ark/HARK/HARK/interpolation.py:2027: RuntimeWarning: All-NaN slice encountered\n", + "C:\\GitHub\\HARK\\HARK\\interpolation.py:2188: RuntimeWarning: All-NaN slice encountered\n", " y = self.compare(fx, axis=1)\n", - "/home/sb/projects/econ-ark/HARK/HARK/interpolation.py:2027: RuntimeWarning: All-NaN slice encountered\n", + "C:\\GitHub\\HARK\\HARK\\interpolation.py:2188: RuntimeWarning: All-NaN slice encountered\n", " y = self.compare(fx, axis=1)\n", - "/home/sb/projects/econ-ark/HARK/HARK/interpolation.py:2027: RuntimeWarning: All-NaN slice encountered\n", + "C:\\GitHub\\HARK\\HARK\\interpolation.py:2188: RuntimeWarning: All-NaN slice encountered\n", " y = self.compare(fx, axis=1)\n", - "/home/sb/projects/econ-ark/HARK/HARK/interpolation.py:2027: RuntimeWarning: All-NaN slice encountered\n", + "C:\\GitHub\\HARK\\HARK\\interpolation.py:2188: RuntimeWarning: All-NaN slice encountered\n", " y = self.compare(fx, axis=1)\n", - "/home/sb/projects/econ-ark/HARK/HARK/interpolation.py:2027: RuntimeWarning: All-NaN slice encountered\n", + "C:\\GitHub\\HARK\\HARK\\interpolation.py:2188: RuntimeWarning: All-NaN slice encountered\n", " y = self.compare(fx, axis=1)\n" ] }, { "data": { - "image/png": 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\n", 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wO+3CRzHh9q+wc5ABd6LhqfVvpVIqGFgG3KO1Plxhuztgp7XOL//5OmBmbc8nREOgtaYkOpOMnw+h8i2kFsURkRuNS4E7JveNlF5h4e47fqR5cBdbhyrEeVkzDHQJcBXgr5RKBF4GHAG01p8BMwA/4BOlFPxvuGcLYHn5NgfgO631mnq4BiEuKkNyAZk/H8J8oog8Qwb7sv6hwOCNR0EMCZcd5Io+jzF41FOyGpdo8KwZBXRXFfsfBB6sZHsc0KvmoQnRsJjzDeSsiaNodxoGcwkHsrdwogSCM7KJ6fIrof1b8sj4Tfg0l4FwonGQjkkhqqCNFvL/TiR3w3G00cKRvN0cLEjBP98NO+fVHLo6ixtDn2Tg6Ceh7I5XiEZBEoAQ56G1pvhABtkrY9H5JpILjxCRsxez6kz75Hg29d/Plf5+DLpjLf5tOto6XCGqTRKAEJUwJOaTvTIW44kCcgzp7MveTKZuQ5s8fzIdviLi+ixuCrybQXe9Ii90iUZLEoAQFZjzSsldG0/h7pMYLCXsz9rM8VIzrvbhdDv2E6sGxHClv+ba676ife+htg5XiFqRBCAEoI1m8jcnkfdHAhajiUM5OzlcHIfF8Ura5hwij/+wakw+N9l3pf/9i3Dzklk7ReMnCUA0aWX9/JnkrorDnFNKcslR9mZuosS+G+4MoUPMElb0P0LPwALuDp5M+K3Py4NeccmQBCCaLFNuKTk/x1JyMIsi+wK2pawkW5uxcxlFu+QISsxvMv/mUp4oLSVg2Jd06HuNrUMWok5JAhBNjrZoCrenkLsmHovRRFT+Vg5mbcfO+XI87drS5cAiVlx2jOKuJTyb14L2D/wXnxZBtg5biDonCUA0KcaThWQvi8VwPI9chyz+Or4Ug4Mnjh7/om3qXnzT32bO2FKud82jv+UKej77JQ5OLrYOW4h6IQlANAnaZCFvUwL5fyRgsbOwN/d34vL24+A8GDenULrt/Zxkv3hm3KOZUZCOZ8Ak+o6fKf394pImCUBc8krjc8ledgRTWjEZjin8Hfsj9l7NcXC7mxamPLpseZVf+xWxbQB8mpaBceDbhA2fYOuwhah3kgDEJctSYiJ3TTyF21Iwu1jYnvUryUVxuPoNxWQKo3PqGlomree9sUZcW5uZl5pP8ZgldO5zta1DF+KikAQgLknFURlkrziKJd9AiuNxtsb8hGerdjja340jbvTc+x4Wz3SevcfElfalPJJuwnzXStp3vszWoQtx0UgCEJcUc14pOSuOUhyVicnDwt8ZP5BVmop/pxvITmtPS5Lp/NdsDvdx442hhTyUV8joHGfs719FiyCZu180LZIAxCVBWzSFO1PJ/e0Y2mghyf0YW/b/SIsOXfE03U9upgtd8/+mVcRSfhkTwJIumbyYnsfAYg/cH16DTwtZhlQ0PZIARKNnTC8ie9kRDMfyoJUjf8b+QNqxODoMuImk2BDcPezpd2w+Hiej+OxuX7YG5vNuchadDN54PvIb3s2l8RdNkyQA0Whps4X8PxPJ23gC5WBHTsd81m/8HI9mfgT3nkTiYVeCguxp/8sMHBxMvDnBg0N+BuYeP0mQ2QN3afxFEycJQDRKxrQisv57CGNSAU6h3mxP/pXD67fSrs8ASkqGcvKYib5dS/Ge/wJ2bVrx4rgSkt0MvHs8jfYmB9T9K6TxF01elYuWKqUWKqXSlFIHzrNfKaU+VErFKqUilVJ9K+wboZQ6VL5vSl0GLpombdEUbEni5Id7MeeUwFB3lm97h6NROwgfPYHsjKEU5sKV7ZPx+fQZ7HqE8uydpZz0MPNmfDbdDKWYxi/DXx74CmHVHcBXwFxg8Xn2jwQ6lf8ZAHwKDFBK2QMfA8OBRGCnUmql1jq6tkGLpsmcW0rWj4cpPZKDcxcf4lyj2bLoW3xatqLXiMfZu74IT19H+uvNmBd8hd11Q5k8MIZSOwvT4w0MMGSQctNSQjr1sfWlCNEgWLMo/GalVMgFDhkLLNZaa2CbUspHKdUKCAFiyxeHRyn1ffmxkgBEtRVFppO9PBZMFlyvb8XGvxZyIiqS0MFD8fAfwe416bTp4kP3I19j2LgGx3tv56F2f6DtFP9OdGdESQTRV3xAN3nJS4jT6uIZQCCQUOFzYvm2yrYPqIPziSbEUmwiZ0UsRfvScQrypKiXiZWLX8FQXMzV908mIaYFBzan02NIK4I3vU/xX5txf/5JJvmswGzUPJbbhXH5/2Vf56foPfw+W1+OEA1KXSSAymbL0hfYXnklSk0CJgEEB8vDOQElR3PIXnoYc34pntcEEZn+Jzs++gH/oLaMeGwGW5dnkZeew9Db2uG5+FWKduzA++WpTHb/mez8bP7tcQt3xsxmn+9Iet/1qq0vR4gGpy4SQCJQcbL0NkAy4HSe7ZXSWs8D5gGEh4efN1GIS582WshdG0/B30k4+Lvi8a92rP7vhyQfiqbHNdfTacCtbFh0BKUUox7ugvnt/6No7178Z7/Ks66/EJ8Rz7QOTzNi7fPEOXUibNICmdVTiErURQJYCUwu7+MfAORqrVOUUulAJ6VUOyAJuBMYXwfnE5cwQ3IBWf89hOlkEe6Xt6Kok4HvP5iKobiYG558HqOhA799HkOzlm6MuKcdOS88QUlUFC3mvMVLLr+xL3EfM/u9Sq8fXsSoHGk2cSmOLu62viwhGqQqE4BSaglwFeCvlEoEXgYcAbTWnwGrgRuAWKAImFi+z6SUmgysBeyBhVrrqHq4BnEJ0BZNwV+J5K47jp2bA/4TwzicuJMNsz7F09+fW6a9xuFdJvatP0xIT3+G3dya1McnUXoklsD33+Mt1z/YfHQzLw18iYBfltDWkkTcyG/o2Lq9rS9NiAbLmlFAd1WxXwOPn2ffasoShBDnZcoqIWvpIQzxebh298NrdAh//vAVEetX07ZnH0ZOfo5/lidxaFsq3YcGcvk1viQ++ACG+HiC5n7ENz4HWblvJY/3fpyWkScZXLCWPe0eou/AUba+NCEaNHkTWNhUUUQa2ctiAWh2e2d0O0d+evcVkmKi6Tf2VgaMG8/6BQc5vj+T/qPb0ftyb07cey/GxCSCPv+Mra0L+PiPjxnTYQzDXa+kxYFrOOzSgz73vGHjKxOi4ZMEIGzCYjCT+0schTtTcWrrhe8dXcjIOsGKabMpKSjgxiefJ6T3IH79MIKTx/IYOr4LXft4ceK+iRgTEgn6/HNOdPJi2m9P0iugF1PCp3HsnetAgf+9X6LsHW19iUI0eJIAxEVnPFlI5ncxmNKK8BwWhNe1bYn+eyPrv5iLu48vd702Bzfv1ix7Zw+56UVcP6k77UI9OfHQQ5QcOkSbuR9R3KsDT/x6Jz4uPrw/7H12fj+Hq00HiAqfRVhgJ1tfohCNgiQAcdFoXT5n/y9xKGd7/O/vjmM7TzZ9PY+9v/1CcPee3PjUC5QUOvDT27spLTYx+oneBLZzJ+HxyRTv3kPgf97B+cpBPLJ2InmGPBaNWER2fBKDjs0l2vNywm6cbOvLFKLRkAQgLgpLiYns5bEUR6Tj3MkH39u7UKqL+en1GSRERXLZjWMZ8q/7STtRwK9zd2Nnb8fNz/TFv7UrSc88S+Fff9Fq1mt43XADs7fNJjI9kv8M/Q+dvDuz/7OrMSkHAu+ZJ+P9hagGSQCi3hkS88lcEoM5uwSv60PwHNqGjIR4fp7zGoU52Yx8/Bm6DbmaE1GZ/Pb5fty8nRnzZC+8/FxImf4i+evW0WLqFHxuvZU1x9bw/aHvmdBtAteFXMfGpR9ztXEfB3q9RHdZ1UuIapEEIOqN1pqCLcnk/nYMew8nAib1xDnEm7i9O/n1/bdxdnXlzlffpmWHTsTtS2ftFwfwbe3O6Cd64+rpyMnZr5O7fDn+kyfjO2ECx3KP8fLWl+kd0JunLnuKkydT6Rn1FnEuoYSN+betL1eIRkcSgKgX5kIj2T8cpiQmC5dufvje2gk7N0f2/PYLfyz6goCQdtz0fy/h6etP7O401i+IIqCtJ6Of6IWzmyMZ874g+5tv8J0wAf/HH6PYVMwzfzyDs70zc4bOwdHOkSPfPcdA8jGN+xFlL7/KQlSX/K8Rda70WC5Z38dgLjDiM7o97oNaoy0WNiz8lH1rV9Gx30BumPwcji4uHNqeyoavomnZwZtRk3vh5OJA7q+rSH/3XbxGjaL5C/+HUorXt7/O0ZyjfHbtZ7R0b0nk7r+5POdXIlrfQd8u/W19yUI0SpIARJ3RFk3+5kTy1sbj4OtC88d64xToQWlRIb9+8Dbx+3YTPnocQ8bfh7KzI3pLMpu+iSGwczNufKwnjs72FO3cScrUqbj160er12ej7OxYHbean2N/5uGeDzMocBAWswXTb9MpUO50vfN1W1+2EI2WJABRJyxFRrKWlnX5uPb0p9ktnbBzdiA37STL33qV7JQkhk96gp7XXA/Agc1J/PndIYK7+TLykR44ONlTGhdHwuQncAwKos3cj7BzciKlIIVZ22bRK6AXj/R6BIBt65YwyLSP/T2n0cPbz5aXLUSjJglA1JohMZ/Mbw5izjfgM7YD7gNboZQi+XAMK96ZhdlkZNzUV2nbozcAERsS+PuHI4T08OP6Sd1xcLTHlJFBwkOTUA4OBM37HHtvbyzawvQt0zFrM29c8QYOdg6UlJTQesdsEu0CCRv9tG0vXIhGThKAqDGtNYXbU8j5JQ57TyeaP9ILpyBPAGK2bmbNJ+/h6evPTS+8gV9g2dIQe9Yd559lR2nfJ4DrHgjD3sEOS1ERCY8+hikri7aLF+HUpg0Ai6MWszN1JzMHzSTIq6z8zmXvc6VO4uCQz7FzdLLNhQtxiZAEIGrEUmome9kRiiPScenSjGa3d8He3RGtNTtX/sRf331FYGgYY56dhpuXNwB715/gn2VH6RjenGsndsPe3g5tsZD8whRKoqJoM/cjXHv0AOBQ1iE+3Psh1wRfw00dbwKgoLCAzoc/57BzGF2vusNWly7EJUMSgKg248lCMr89iCm9GK/r2+I5NAhlp7BYzGz8ch4R61YROngo1z/6bxwcyyZli9iQwNafYunQtznDJ3bDzt4OgIyPPyF//XqaT3kBz6vLFmw3mo1M/Xsq3s7evHz5y6jyt3v3LH+fIWSRf/VceeNXiDogCUBUS9HeNLKXHSmby+fBHrh08AHAaChl9YdziN257YyRPgD7/0jk7x+O0L5PAMMf+F/jn7dmDRkff4z3uHH4Tphw+hzz98/nSPYRPrr6I5q5NAOgoCCf0Nj5xDj3ILT/DRf3ooW4REkCEFbRJgs5v8ZRuC0FpxAv/MaHYu/lDEBRXi4/z3mNlCOHGHbfw/QdOfp0uQObk9j8/WHa9fIv6/Mvb/xLoqNJnjIV1969afnK/77lH8k+wrz98xjZbiRXBV11up69y9/nSrLJveYz+fYvRB2RBCCqZM4tJfPbgxhO5OMxJBDv69uh7Msa4ZyTqSx742XyMtIY/fQUOg8YfLpc9N/J/PndobLRPg91x96hrPE3ZWSQ8Phk7H18aPPRh9g5lT3MNVlMzNgyAy8nL6b2n3q6npLSUjocXcRh5zA69x9xEa9ciEubJABxQaXHcsn89iDaYMZ3fChuPQNO7zsZF8uyN1/BYjJx24uzCQztdnrfwa0pbPo2huAwP0ZM6nG68bcYDCQ+8STm7GzafvsNDgH/q++b6G84kHmAOUPmnO76Adi1+kuuIJ1Dl8+6CFcsRNNhVQJQSo0APqBscff5Wus3z9r/PPCvCnV2BQK01llKqXggHzADJq11eB3FLuqR1pqCrcnkrjqGg68Lfg/1wLGF++n9x/bt5pd338DVy4txM97Ar03Q6X1Hdp5k49cHCQptxshHumPvaHd638nXZlG8dy+B772La1jY6e0J+QnM3TeXYUHDuD7k+tPbLWYLzffPI9GuDZ2H3FbPVy1E01JlAlBK2QMfA8OBRGCnUmql1jr61DFa6znAnPLjRwNPa62zKlQzTGudUaeRi3pjMZjJWR5L0d40XLr64ntHF+xc/vercmDTetbN+wj/4BDGTXkFj2a+p/fFR2bw+5fRtO7ow8hHe+LgaH96X/bSpeT88AN+kybhNXLk6e1aa97Y/gb2yp7pA6affh4AsGfzSsItR9nX+1Xa2P2vLiFE7VlzB9AfiNVaxwEopb4HxgLR5zn+LmBJ3YQnLjZTZjGZ3xzEmFqI1/C2eA4rG+IJZQ31tp++Z+sP39K2Zx9GPz0VZze302UTD2WzZt4B/IM8yub2cfpfg10cEcHJ12bhPngwAU89ecY5NyZs5K+kv3gu/DlauLc4Y5/9Px+RiQ/dR06qx6sWommyJgEEAgkVPicCAyo7UCnlBowAKq7Lp4F1SikNfK61nneespOASQDBwbKwhy2UHMoi8/tDoMHvvjBcu/zvm73FbOb3BZ+wf8Naug25musefhJ7h//9+qQey2X1J5F4N3dl9BO9cXL93z5TRgaJTz6FQ/PmtH5nDsr+f4mhyFjEWzveolOzTozvOv6MeGIittHHsItd7R8n3NkNIUTdsiYBVDbmTp/n2NHAlrO6fwZrrZOVUs2B9UqpGK315nMqLEsM8wDCw8PPV7+oB9qiyf8zgbx1x3Fs4Y7fPV1x8HM9vd9YUsKvH7xF3J6dDLj5DgbfcfcZ3TSZSQX8+lEErp6OjHmqNy4ejv+r22Qi6elnMOfkELLkOxyaNTvj3F/s/4KUwhQWXbkIRzvHM/ZlbviQYpwIHf3v+rlwIZo4axJAIhBU4XMbIPk8x97JWd0/Wuvk8r/TlFLLKetSOicBCNuwlJjKZvGMzsS1dwDNxnXCrkLXTVFeLsvffIWTcUe59sHH6DX8zJewctKKWPHBPhwc7Rj77z64ezufsT/9gw8o2rmTVm++gUu3bmfsi8uN46uorxjTYQx9W/Q9s1xGGn1yfycm4Hr6NGtex1cthADrEsBOoJNSqh2QRFkjP/7sg5RS3sBQ4O4K29wBO611fvnP1wEz6yJwUXvGk4Vkfn0QU1Yx3qPa4zG49Rnf7PMy0vhx1kvkZ6Qz5rnpdAw/s+evILuEle/vQ5s1Y57ti5e/65n7//yTzC/m43PbbfjcdNMZ+7TWvL79dVwdXHnmsmfOie3gmi8YokoJGPZo3V2wEOIMVSYArbVJKTUZWEvZMNCFWusopdQj5fs/Kz/0ZmCd1rqwQvEWwPLyRsUB+E5rvaYuL0DUTNH+DLJ/OIxysiPgwR44t/c5Y39mYgI/vv4SxuJibnnxNdqEhp2xvzjfwMoP9lFaZGTs033wbe1+xn5jSgrJL0zBuUsXWkyfds7518SvYXvKdqYPmI6f65lz+pvNFoKOLuGoY2c6hA0+p6wQom5Y9R6A1no1sPqsbZ+d9fkr4KuztsUBvWoVoahT2qLJWxtP/p+JOAV54nt3VxzO6rZJPXqEn954GTs7O25/+Q2ah7Q/Y39pkZGVH+4jP7OE0U/2pnlbrzPPYTSS9MyzaIOBwPfew87F5Yz9hcZC5uycQze/btzW+dyx/RFbV9NXJxDRY3YdXbUQojLyJnATYikykrkkhtIjObgPaInP6A4oB7szjjlxIIKf58zC1dOLW198jWYtW5+x31hqZtXHkWQlF3LDYz1p3cnnnPOkf/ghxXv30vqdd3Bu3+6c/Qv2LyC9OJ33h72PfSVj+43bFpCHO12H31er6xVCXJgkgCbCeLKQzMXRmHJKaTauE+79W55zzJGd/7Dq/bfwadmaW6bPxNPX/4z9ZpOFNZ/vJzUul+se7E7bsHOXYzzd73/77XiPuvGc/amFqSyOXszIdiPpGdDznP2ZGWn0LviL/S3GEu7qUYsrFkJURRJAE1AcnUnWfw+hHO0ImNQT57O6bKD87d7PP6Jlh07cPPUVXD08z9ivLZoNiw5yIjqLYfeE0vGyc0fmnNHvP23qOfsBPtr7EVpr/t3335Xuj9mwiMHKiP8VE6t/oUKIapEEcAnTWpP/R/n4/tYe+N3TDQcf53OO2/XLMv78ZiFte/ZhzLPTcHJxPaeeLT/FcmTnSQbe1J5ug1ufU8cZ/f7vn9vvDxCdGc3Koyu5v/v9tPY4tw6AZkeWcdw+mJAe8vBXiPomCeASZTGYyf7xMMWRGbj2DsD3lk4oxzP727XW/P39Ynb8/AOdB17ByMnPnl7Bq6K9608QsSGBnsPa0Pf6tpWe74x+/3bn9vtrrXln1zs0c27Ggz0erLSOY4f3080Uzc6OT9FW5vwXot5JArgEmXJKyFwUjTG1EO+RIXgMaXPG+H4Ai8XMhgWfEvn7GnpeM4JrHnwUu0oeyMZsSzm9ju8Vt3U6px6o0O9/xx2V9vsD/Jn4JztTdzJtwDQ8nTwrPSbpz69oqxUdrpHuHyEuBkkAl5jSY7lkfnMQbbLgNyEM11Dfc44xm4ysnvsuh//5i/433cYVd95bacN+/EAmGxfH0Ca0GddO6HZ6UriKjGlpJE+ZWtbvP3VKpTEZLUb+s+s/hHiFcGvnWys9xmy20C7pF2Jc+9Ct1bl3EEKIuicJ4BJSsD2FnBVHy+bvv7cbjs3PnUDNWFrCyv+8TnzEHobcfT/9Ro+rtK7UY7msmbcfv0B3Rj7c44w5/U/RFgspU6ZiKS4m8D/vVNrvD/DT4Z+Iz4vnw2EfnjPfzylR29bRk5Okdz/3rWAhRP2QBHAJ0GYLOb+Urdfr3LkZfneFYud67j9taVERy996laRD0Vz38JP0uPq6SuvLTi1k1dxI3LyczpnZs6KsrxZRuHUrLV95BeeOHSs9ptBYyKcRn9KvZb8z1vg957idX1OEM6HD7qr6goUQdUISQCNnLjCUrdd7LA+PIW3wHhFSaVdNcX4eP73+MunH47jxyecJHTSk0voKc0r55cMIlB2MfrI3bl5OlR5XHBVF2nvv4Tn8WnzuuP288S2OXkxWSRYfX/Zxpd1MAIWFBYRlbyTGdxh93b2tuGohRF2QBNCIGZILyFwcjbnAiO8dXXDrU/msmQXZWfw460VyTqYw5tnpdLisf6XHlRYZ+eWjfZQUGrn52b74VNKFBGApLCT52edw8PWl5cyZ523Ys0qyWBS1iGuDr6W7f/fzXkfU5mX0V0W4hZ8zx6AQoh5JAmikivank730MHauDjR/pCdObSofWZOXnsYPs6ZTmJ3NzS+8TNsevSs9zmy08Nvn+8lOLWLU5F4EBFdeH0DqG29gOH6c4C+/PGd+/4rm759PsamYJ/o8ccFr0VEryMGTzgNuuOBxQoi6JQmgkdEWTd7vx8nfmIBTsCd+93TD3rPybpqs5CR+nPUihuIibn3xNVp37lp5nVqz8euDJB3K4dqJ3Qjqeu7IoVPy1qwh98ef8Hv4YdwHVrowHAApBSl8H/M9YzuMpb1P+/MeV1RUQFj+FmL8ryXcofIHxEKI+iEJoBGxlJrI+m/Z4i1u4S1odlPHcyZzOyX9RDw/znoRrXWlM3pWtG1FHId3nGTA2PZ0GXDuHEGnGJOTSZnxMi69ehIw+fELxvpJxCcoFI/2uvB8/tF/rSBcFePW+5YLHieEqHuSABoJU2YxGYujMaUX4TO6Pe6DWp+37z0l9hDLXn8ZBycnbn1pNn6BQZUeB3BgcxJ71hyn25WtuWxE5W/5QtmQz+Sp08BkInDOHFQlbwyfcjTnKCuPruRfXf9FK49WF7wuc9TP5OJBl4GVv0AmhKg/kgAagZKjOWR9exAA//u749Lx/P3uCdH7Wf7WTNy8vLj1xdn4tDj/N/r4yAw2LzlE2x5+DL2z83kTCkDWosUUbd9Oq9mzcAoOvmC8c/fOxdXB9bxTPpy+rpJiuub+zRHfq7jMsfJuLCFE/ZEE0MAV7Egh5+ejOPi74D8h7IzF2s92bN9uVr4zG6+A5tz60qxzpnOu6GR8HmvnH8A/yJPrHgjDzr7yriSAksOHSX/3XTyuuQbvcZW/OHbKgYwD/H7idx7r/Ri+Lud/lgAQ9fdKLlNFuPS6cJ1CiPohCaCB0hZN7qo4CrYkl73cNT4UO5fz/3Md3r6FVR/MwS8omFunv4ab1/nH0+emF7Pq4whcPZ248fGeOF2gXovBQPL/vYCdlxetZr56wbsEgI/3fYy3szf3dL2nyms07v+ZfFzpfPmoKo8VQtS983/tq0ApNUIpdUgpFauUOmfCF6XUVUqpXKXUvvI/M6wtK85lKTGRuSiKgi3JeAxujf+EsAs2/lF/buDX996iRYeO3D7j9Qs2/iUFRn6dG4HFrBn9RC/cvc+dHrqijI8+ojQmhlavvYaD37kLwFQUkR7B30l/c1/YfXg4XXgxl9LSEkJzNnPYZwiOzue/qxFC1J8q7wCUUvbAx8BwIBHYqZRaqbWOPuvQv7TWo2pYVpQzZRaTsSgKU0YJPjd3xGPAhR+iRqxfze/zPyG4e0/GPv/SOXP5n1G3wczqTyPJzyxhzL9706yl+3mPBSjatYvM+Qvwue02PK8eVmXsn0Z8io+zD3eFVj2dQ/TWVfRRBTj1uLnKY4UQ9cOaO4D+QKzWOk5rbQC+B8ZaWX9tyjY5pXG5pH28D0uBEf8HulfZ+O9etYLf539C+779uPmFVy7Y+GuL5vevokmJy+Xaid1o3dHngnWbCwpIfmEKjm3a0GLKC1XGvi9tH1uStnBf2H24O144sQCURCynEBe6DJZfByFsxZoEEAgkVPicWL7tbJcrpSKUUr8ppcKqWRal1CSl1C6l1K709HQrwrq0FO5MJX3BfuzcHWn+WG9cOvhc8PgdK37kj8Vf0LHf5Yx5dhoOThceRbPlp1iO7kln8C0dK13O8WwnX38DY0oKrd9+Czv3qhv0TyM+pZlzM6u+/ZuMRrrk/Mkhr0E4uVQ+3YQQov5ZkwAqe+qnz/q8B2irte4FfAT8XI2yZRu1nqe1DtdahwcEBFgR1qVBWzQ5v8aR/dMRnNt70/yx3jj4X+CbvNZs/eE7/vruK7oMGsKof7+AfRVv0EZuSiRiQwI9hrWh1zXnfyfglLx168hdtgy/hyfh1qdPlcfvS9vH1uStTOw+ETfHqhv0mD1/4EsedqEy9l8IW7JmFFAiULHVaAMkVzxAa51X4efVSqlPlFL+1pRtyiwlJrKWxFByKBuPQa3xvrE9yv78o2wqLuEYNvRarnvkiUpX8aoofn8Gfy89TEhP//Ou6FWRKT2d1Bkv4xIWRsBjj1l1HZ/s+wRfF1/u6HKHVcfn7l2BUdvTcbD0/wthS9bcAewEOiml2imlnIA7gZUVD1BKtVTlLYtSqn95vZnWlG2qTFklpH0aQcmRbHxu6ojPmA5VNv5/fj2fHT//QM9rRnD9I09W2finJ+Szbn4U/kGeDL+/G3aVTBN99jmSX3wRS3Exrd9+64Jv+56yN20v/6T8w8Qw6779AwSm/cFhl554eF94VJEQon5VeQegtTYppSYDawF7YKHWOkop9Uj5/s+AW4FHlVImoBi4U2utgUrL1tO1NBplyzZGoy1Vv9kLZdMwbFj4GRHrV9Nn5GiGTZhU5Tf5guxSVn0cibObAzc+duGx/qfk/vQThX9upsW0aTh36GDVtXy872N8XXy5vcv51wSo6HjsAUIsCexoJwu/CGFrVr0IprVeDaw+a9tnFX6eC8y1tmxTVrjrJNnLj+DQzAW/Cd1wDLjwt2aLxcz6eR9zYNM6wkePY8i/JlbZ+BtKTKz6JAJDsYlxz/fF3efCY/0BjElJnHzjTdwGDKDZ3f+y6lp2n9zN9pTtPBf+nNXf/pO2L6MtEDRQ3v4VwtbkTeCLRFs0uWviKdiciHNHn7I3e90u3MViMZtZ8+n7HPxrEwNvuZNBt/2rysbfYtGsXxhNZmIBNzzWE//zrBNwZmwWkqe/CFrTavZslJ1V7wfyyb5P8HPxs/rbP4DX8d85ZteWdiGVT00thLh4rPufLmrFUmoic3E0BZsTcb+8Ff4Tw6ps/M0mE6s+nMPBvzYx+I57GHz73VU2/gBbfjxCfGQGV97RmZAe558LqKLsJUso2raN5i+8gFObSkfpnmNn6k52pO7ggR4P4Opg3Zu8OZlphJbu52Srql8qE0LUP7kDqGemrJKyN3vTi/AZ2wGPy1tXXcZo5Nf33+Lorm0Mvft+wkdb110SuSmRyI2J9Lo6iB5XtbGqjOH4cdLe+Q/uV1yBz+23WVUGysb9B7gGcFtn68sc2bqMfsqCb195+UuIhkASQD0qjc8l8+uDaLPGf2J3XDpd+GEvgNFQyi//eZ1j+3Zz9f2P0Od66yZKqzjcc9CtHa0qo81mkqdNRzk40GrWa1bdYUBZ3//O1J280O8FXBxcrCoDwOF1ZOJNx95DrS8jhKg3kgDqSeHuk2Qvs/5hL4CxpISf35nFiQMRDJ80mZ7XjLDqXOkJ+awtH+553QNhVQ73PCVr8dcU795NqzfewLHl+dcNONsXkV/g6+LLLZ2tX8XLaDTSKX87R32uwM/+wsNXhRAXhySAOqYtmry18eT/mYhzB2/8/tW1yv5+AENxEcvfmklSTDQjHv03YUOvsep8BdmlrJobgUv5cE9HZ+sa19K4ONLfew+PYcPwvsn6LpkDGQfYkryFpy972uq+f4DDe/4gjALsu1xndRkhRP2SBFCHLKVmsv57iJLoTNwHtCx/uavq5+wlhQUse+NlUo8e4YYnnyN00BCrznd6uGeJmXHPX2bVcE8AbTKRPGUqdq6uVs3xX9G8yHl4OXlZ/dbvKTmRqzFrRYeBo6tVTghRfyQB1BFTTimZi6IwphbiM6YD7pe3sqphLS7I56fZL5F+PJ7RT0+hU/9BVp3PYtGsXxBFZmIBNz7eC/82F55/v6LMBQspiYyk9X/ewaEa8y4dyjrEpoRNPNb7Matm/KwoIHUzR5y7Etqs6onohBAXhySAOmBIyCdjcRTaYCl72Nu56oe9AEV5ufz42nSyUpIY+/x02vfpZ/U5t/xwhPj9mQy5szNtu1s/pULJocOkz52L5/XX43XDDVaXA5i/fz7uju6MDx1frXJpySfobI5lR7B1cwsJIS4OSQC1VLQ/neylh7HzcCTgwR44trDum3FhTjY/vDad3LST3Px/L9O2Z2+rzxm5KYHITYn0usb64Z4A2mgkeeoU7D09afnyjGp1/RzLPcba+LU80OMBvJ3Pv+JYpWW3r6A5EHCZdP8I0ZBIAqghrTX5fySStzYep2BP/O7thr3HhefkP6UgK5Olr02nIDODcVNfIahbD6vPGx+Zwd9Lj5QN97zFuuGep2R89jml0QcJ/OhDHHwvvGD72ebvn4+zvTP3dKt6rd+z2cf+TjrNCOk2sNplhRD1RxJADWiThexlRyjak4ZrrwB8b+2McrTuper8rAx+mDmNguxsbpk2k8DQblafNz0hn7ULqj/cE6A4KoqMzz/Ha/RovIYPt7ocQGJ+IqviVjG+63h8XaqXOIxGA50LdnLYdygBVk4xIYS4OCQBVJO50EjmN9EYjuXhdW0wntcEW92VkpeRzg8zp1GUl8Ot02fSurP18+EU5pay+pPIag/3BLAYDKRMmYJDs2a0fHG61eVOWXhgIXbKjvvC7qt22cO7NhKmCrHvcn21ywoh6pckgGowpheR+VUUptxSfO/sgltv60e05KWnsXTmVIrz87l1+ixadepidVmTwczqTyIpKTIx7jnrZvesKOOjuZQeiSXo88+w965e/31qYSo/x/7MuE7jaO5W/RE8OftXY9J2dBxo3RvNQoiLRxKAlUqO5pD5zUGUnSLgoZ44t/WyumxuWipLZ06jtKiQ216cRcuOna0uqy2aDYsOknYin5EP9yAgqOrZPSsqjowkc8ECvG8Zh8fQ6k/BsChqEVprJnafWO2yAC1O/sUR5zC6+lg3MZ0Q4uKRTlkrFO5MJWPBAew9nWj+eO9qNf45J1P576tTMRQVcduLs6vV+APsWHWM2N1pXH5TB9r3rt5ayRaDgZTp03EICKDFlCnVKguQWZzJj4d/ZFSHUQR6WDdLaEUnk47R0RxHXpurql1WCFH/5A7gArRFk7s2noI/E3Hu5FM2rYMVK2udkp2azNKZ0zAZDNw243Wah7Sv1vkP70hl16p4Qge1os91wdUNn4xPP/1f149n9e4cAL49+C2l5lIe6P5AtcsCxG9bSQughQz/FKJBkgRwHhZD+bQOUZm4D2yFz+gLr9l7tqzkJH6YORWzycTtL80moG27ap0/NS6XjYtjaN3Jh6vGd6nWmH2AkuhoMud9gffYsTXq+ikwFPB9zPcMbzucEO+QapcHcDi2gXR8advV+hfchBAXj1VdQEqpEUqpQ0qpWKXUOX0JSql/KaUiy/9sVUr1qrAvXim1Xym1Tym1qy6Dry/mvFLSP4+kJDoT71Ht8RlbvcY/MymBpTOnYjabuX3G69Vu/PMyi1n9aSTuPk6MeLg79g7V66nTBgPJ06Zj79uMFlOr3/UDsPTwUvKN+dzf4/4alTebTHQo2M1xn/5WrzAmhLi4qrwDUErZAx8Dw4FEYKdSaqXWOrrCYceAoVrrbKXUSGAeMKDC/mFa64w6jLveGJIKyFwUhaXEjN+EMFxDqzfuPTPxBEtnTgPgjpffwK9N9bpuDCUmVn8SidmkuemZXrha+XJZRRnz51MaE0ObuR9h7+NT7fKl5lK+jv6ay1tdTphfWLXLA8RG/E0XClAdrZvVVAhx8Vnz1aw/EKu1jtNaG4DvgTPmD9Zab9VaZ5d/3AZYPz9BA1IcnUn65xGgFAGP9qp2459xIp6lM6eh7Oy4vQaN/6kJ3rJSirj+oTB8W1VvwjUom+sn49PP8LrhBjyvvbba5QFWHl1JRnEGD/SoWd8/QFbkWgDa9avefENCiIvHmgQQCCRU+JxYvu18HgB+q/BZA+uUUruVUpPOV0gpNUkptUsptSs9Pd2KsOqO1pr8zYlkfh2NQ3M3mj/eG6dqNr7px4+xdOY07OzsuH3GG/gFBlU7jn+WxRK/P5Mrb+9EcDfrJ3g7RZtMpEybhr2nJy1eerHa5QHMFjNfHviSHv496N+yf43qAPBM+Zuj9u3xbdEovwsI0SRY8xC4ss5vXemBSg2jLAFcUWHzYK11slKqObBeKRWjtd58ToVaz6Os64jw8PBK668P2mwhZ8VRCnek4trDn2a3dcbOqXorVqXFx/HDrBdxcHLi9hmv06xl1ev+ni3672T2/Z5Aj6GB1ZrgraLML7+kJCqKwPfexaGZdTOSnm39ifUk5Cfw7GXPVvvB8ykF+Tl0Lo1iT+u76FCjGoQQF4M1dwCJQMWvs22A5LMPUkr1BOYDY7XWmae2a62Ty/9OA5ZT1qXUIFiKjGR8GUXhjlQ8hwXhe1dotRv/k3Gx/DBzGo5Oztwx440aNf6Jh7L587tDBHXz5YrbO1W7PJSt8JXx0Vw8hw/Hc4R1S0meTWvNgv0LCPEKYVjwsBrVARC7Yy1OyoxnN1n9S4iGzJoEsBPopJRqp5RyAu4EVlY8QCkVDCwD7tFaH66w3V0p5XnqZ+A64EBdBV8bpsxi0j6NoPRYLs1u7Yz39SGoakyuBpB69Ag/zJqOk5sbd7zyBj4tW1U7jpyTRaz5fD/ezV25/qHu2FmxgtjZtNlMytRp2Lm6Vnua54q2Jm8lJiuG+7vfj52q+cidkpjfKdGOdOxXs2cQQoiLo8ouIK21SSk1GVgL2AMLtdZRSqlHyvd/BswA/IBPyhsfk9Y6HGgBLC/f5gB8p7VeUy9XUg2lx3LJ/LpsEFPAA91xbu9T7TpSjhzip9dn4OLhwe0z3sAroPrz5JQUGln1SSRKKW58vCfOrjV7LSNr8dcUR0TQes7bOPjXfMqFBQcW0NytOaPa127enpaZ/3DEtSc9XKr/EFsIcfFY1eJorVcDq8/a9lmFnx8EHqykXBzQ6+zttlS45yTZPx3BoZkLfveF4ehv/cLmpyQfPshPr7+Mm5c3t82YjZd/9Rt/s9nC2i8OkJdRzNh/98E7wK3adQAY4uNJf/99PK66Cq9RNW+4I9Ij2Jm6k+fDn8fRvupF7M8nNeEoIZYEtre5tcZ1CCEujibzJrC2aPJ+P07+xgSc23vjd3dX7Nyq39AlxUTz0xsv49GsGbe99DqeftX/xq215q//HiExJpur7+1K604+1a4DQFsspLz4EsrJiZavvlLjrh+AhfsX4u3sza2da9dwn9i5mpZA8z4ja1WPEKL+NYkEoI1msn44THFkBm7hLWh2U0dUNd+uBUiMPsCyN1/Bw9eP22e8jodv9YdqAkRuSiRqcxJ9rw+m66DqPzc4Jfu7JRTt2kWr2bNxbNGixvXE5cSxMWEjj/Z6FDfHmt2JnGJ3bBOZ+BAi0z8I0eBd8gnAnG8gc3E0hsR8vEe2w2NIYI2+KSdERbLsrVfx8gvgthmv49Gsei+JnXL8QCZbfjhCu17+DBxb80GShsRE0t59F/crrsB73M01rgfK+v5dHVy5K/SuWtVjMZtpn7+TOK8B+Mn0D0I0eJd0AjCmFpLxVRSWQiN+d3fFNaxmD0iP79/Hz2+/hnfzFtz20mzcfWo2xj4zqYC18w/g18aDayd2q/aoo1O01qS89BJKKVrNfLVWXT8pBSmsjlvNnaF30sylZtd1SlzUdjqSR1yHmg8hFUJcPJfs17TiQ1mkfRqBtmgCHulV48Y/PnIvP781E58WLbl9xus1bvyL8gys+iQSRyd7bnysJ07VmFb6bDlLf6Don200f/55HFtX/72DihZHLwbg3m731qoegPR9ZS+Ah/S7sdZ1CSHq3yV5B1CwJYmcX+NwbOWO/4Qw7L2rt4TiKcf27WbFO7PwbRXIrS/Nxs2resspnmI2Wljz+X6K8gzc/GxfPJq51KgeAGNyMmlvv43bwIH43HF7jesByC7J5qcjP3FD+xto5VHzZxGneCT9xTG7trRrHVLruoQQ9e+SugPQZk32ilhyfonDJdSXgId71bjxj9u7kxVzXsM3MIjbZrxe48Zfa82mb2JIOZrLNRO60iLE+tXEKqsr5eVX0BYLrV6bWauuH4AlMUsoNhXXeMGXiooLC+hccoC0gMtrXZcQ4uK4ZO4ALCUmMr+LofRwNh5XBuI9sl2N+9iP7t7OL+++gX9wCLdMfw1Xj+qvpnXKnrXHObQ9lf6j29EpvOYjdQByl/9M4V9/0WL6dJyCqj/ZXEVFxiK+PfgtVwddTXuf6q1UVpkju9bRUxlx7Tq81nUJIS6OSyIBmLJLyPgqClN6MT7jOuLRv+bdGbE7t/HLe2/SPKQdt0x7DRcPjxrXdXRvGtt+jqNTvxaE3xBS43oAjCfTOPnmm7iGX0azf42vVV0APx7+kTxDXo0XfDlbYfQ6DNqBTv2ur5P6hBD1r9EngNITeWQujkabLPjfH4ZLx5qPZDmyfSu/fvAWLdp15JbpM3F2q/lUBmnH8/h9YTQt2nlx9b2htequ0VqT+sor6NJSWs+aVesVtoxmI4uiF9GvZT96BdTNi9ot0v/hsEt3urvX/G5JCHFxNepnAEUR6aTPi0Q52dP8sd61avwP/fM3v7z/Ji07dOaW6a/VqvEvyC5l9SeRuHg6csOjPXFwrN4Mo2fL+3UVBZs2EfDUUziFhNSqLoBf434lrSitTvr+ATJSTtDeEk9B6yvrpD4hxMXRKO8AtNbkb0wgb/1xnEK88LunG/buNZ+/JmbLn6ye+x9adw5l3JRXcHKt+duwRoOZ1Z9GYigxM+75y3Dzqv6SjhWZMjI4OWsWrr164Tuh9kM1LdrCwgML6erblUGtB9W6PoBjO1bhD/j3rtk01EII22h0CUCbLGT/dISivWm49WlOs1s61Whah1MO/rWJ3z5+j8DQbtw85WWcXKo/Odzp2CyaDV9Gk56Qzw2P9sS/Tc2fH5ySOvM1LMXFtHp9Nsq+dncSAJtObCI+L545Q+fUehTRaXGbyMaL9t1lBJAQjUmjSgDmAgOZXx/EcDwPr+va4jksqFaNWNSfG1j76Qe06dadm/9vBo4uNR+fD7D9lziO7k1n8K0dadez5tMyn5K3Zi3569YR8MwzOHeo/dpaWmvm759PkGcQw4PrZrSOtlgIyd1BnGc4l9VBghJCXDyN5hmAMa2ItE8iMCQV4Ds+FK+rg2vV+B/YtJ41n75PUPee3PxC7Rv/Q9tT2f3bcboNbkWva2o3RBPAlJ1N6syZuISF4Xf/xFrXB7AjdQcHMg8wsftE7O3qprE+FrOLALKxtLuqTuoTQlw8jeIOoORINpnfHkQ52BEwqQfOwTV/mQogcsNa1n8xl7Y9ejP2+RdxdKrZy2KnpMTmsPHrgwR29mHIXV3qpGvl5KzZmPPzCf7yS5RD3fwzLdi/AH9Xf8Z0GFMn9QGk7f2N9kBwf5n+QYjGpsEngILtKeSsiMUhwA3/+8JwqMU0CgAR63/j9/kfE9L7MsY+Ox0Hp9o9pM3LKOa3z/fj2cyFEQ/3wL4WzyNOyd+wgbxVq/B/YjIuXTrXuj6AqMwo/kn5h6cvexpn+9olvIrcEv7iuF0b2rbpWGd1CiEujgabALRFk7v6GAV/J+HSpVnZgu21mEANYN/aVWxY+Cnt+/Zj9DPTcHCs+cghAEOxiVWfRGIxa258vCcutRiJdIo5N5eUV17BuUsX/B96qNb1nbJw/0I8HT25vXPt5g+qqKS4kE7FEUQ0H0vbOqtVCHGxWPV1VSk1Qil1SCkVq5SaUsl+pZT6sHx/pFKqr7VlK6Uh8+toCv5OwmNQa/zuDat147/nt1/YsPBTOoQPqJPG32LRrFsQRXZqEddP6k6zlnWz/u3JN97EnJVdNuqnlncnpxzPO8764+u5M/ROPJxqPzLplNjdG3BVBlxCZfF3IRqjKhOAUsoe+BgYCXQD7lJKdTvrsJFAp/I/k4BPq1H2HMb0IkpisvAZ2wGfMR1Q9rXrU9+96mc2ffU5Hftdzuinp9S68QfY+mMsxw9kMuTOzgSF1mxxmLMVbN5M7s8/4/fQg7iGhdVJnQBfHvgSJ3snxnet/RQSFeVHrceo7WX6ByEaKWvuAPoDsVrrOK21AfgeGHvWMWOBxbrMNsBHKdXKyrLnMlnwvy8Mj8trN9c9QOSGNfyxeD6dBgxi1L9fwN6h9o3/0T1pRGxMoOfVbeg+JLDW9QFoo5HUV17FqWMH/B97rE7qBEgrSmPF0RXc1PEm/F1rPzS1IsdWYexueTvuXrVbSEYIYRvW9KsEAgkVPicCA6w4JtDKsgAopSZRdvdAu6AQXLrUzbfqkF6XcdmNY7ly/ETs62g0Tdsefgy6pSO9rm5TJ/UBKEdHAj94H+zssKujrh8AXxdfZg2eRe/mveuszlPCxzxS53UKIS4ea1rEyvpftJXHWFO2bKPW84B5AOHh4ZUeUxNe/gFcdW/dPUwFcHC0p8/w4DqtE8C1R486r9PBzoEb28sQTSHEuaxJAIlAxTeb2gDJVh7jZEVZIYQQNmDNM4CdQCelVDullBNwJ7DyrGNWAveWjwYaCORqrVOsLCuEEMIGqrwD0FqblFKTgbWAPbBQax2llHqkfP9nwGrgBiAWKAImXqhsvVyJEEKIalFa11l3e50JDw/Xu3btsnUYQgjRaCildmutw6tTptFMBieEEKJuSQIQQogmShKAEEI0UZIAhBCiiWqQD4GVUunA8VpU4Q9k1FE4F0tjjBkaZ9yNMWZonHE3xpihccbdRWvtWZ0CDXI6aK11QG3KK6V2VfdpuK01xpihccbdGGOGxhl3Y4wZGmfcSqlqD52ULiAhhGiiJAEIIUQTdakmgHm2DqAGGmPM0DjjbowxQ+OMuzHGDI0z7mrH3CAfAgshhKh/l+odgBBCiCpIAhBCiCbqkk8ASqnnlFJaKVW36yHWA6XUHKVUjFIqUim1XCnlY+uYzkcpNUIpdUgpFauUmmLreKyhlApSSm1SSh1USkUppZ6ydUzWUkrZK6X2KqV+tXUs1lJK+Silfiz/nT6olLrc1jFVRSn1dPnvxgGl1BKllIutY6qMUmqhUipNKXWgwjZfpdR6pdSR8r+rXKv1kk4ASqkgYDhwwtaxWGk90F1r3RM4DEy1cTyVUkrZAx8DI4FuwF1KqW62jcoqJuBZrXVXYCDweCOJG+Ap4KCtg6imD4A1WutQoBcNPH6lVCDwJBCute5O2RT2d9o2qvP6Chhx1rYpwAatdSdgQ/nnC7qkEwDwHvB/nGcZyoZGa71Oa20q/7iNshXUGqL+QKzWOk5rbQC+B8baOKYqaa1TtNZ7yn/Op6xBCrRtVFVTSrUBbgTm2zoWaymlvIAhwAIArbVBa51j06Cs4wC4KqUcADca6AqGWuvNQNZZm8cCi8p/XgTcVFU9l2wCUEqNAZK01hG2jqWG7gd+s3UQ5xEIJFT4nEgjaEgrUkqFAH2A7TYOxRrvU/ZFxmLjOKqjPZAOfFnedTVfKeVu66AuRGudBLxDWY9BCmUrG66zbVTV0qJ8JUbK/25eVYFGnQCUUr+X99Wd/WcsMB2YYesYz1ZFzKeOmU5Zd8W3tov0glQl2xrFXRaAUsoD+An4t9Y6z9bxXIhSahSQprXebetYqskB6At8qrXuAxRiRZeELZX3mY8F2gGtAXel1N22jap+Nci5gKyltb62su1KqR6U/SNGKKWgrCtlj1Kqv9Y69SKGeI7zxXyKUmoCMAq4RjfclzQSgaAKn9vQQG+Vz6aUcqSs8f9Wa73M1vFYYTAwRil1A+ACeCmlvtFaN/SGKRFI1FqfusP6kQaeAIBrgWNa63QApdQyYBDwjU2jst5JpVQrrXWKUqoVkFZVgUZ9B3A+Wuv9WuvmWusQrXUIZb+MfW3d+FdFKTUCeAEYo7UusnU8F7AT6KSUaqeUcqLsQdlKG8dUJVX2bWABcFBr/a6t47GG1nqq1rpN+e/xncDGRtD4U/5/LUEp1aV80zVAtA1DssYJYKBSyq38d+UaGviD67OsBCaU/zwBWFFVgUZ9B3AJmgs4A+vL71y2aa0fsW1I59Jam5RSk4G1lI2UWKi1jrJxWNYYDNwD7FdK7SvfNk1rvdp2IV3SngC+Lf+SEAdMtHE8F6S13q6U+hHYQ1kX7F4a6JQQSqklwFWAv1IqEXgZeBNYqpR6gLJkdluV9TTcXgYhhBD16ZLsAhJCCFE1SQBCCNFESQIQQogmShKAEEI0UZIAhBCiiZIEIIQQTZQkACGEaKL+HySAJiu81u5gAAAAAElFTkSuQmCC\n", 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" ] @@ -461,7 +461,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 16, "metadata": { "lines_to_next_cell": 2 }, @@ -494,20 +494,20 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Solving a serially correlated growth consumer took 0.3749 seconds.\n", + "Solving a serially correlated growth consumer took 0.3281 seconds.\n", "Consumption functions for each discrete state:\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -534,7 +534,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 18, "metadata": {}, "outputs": [], "source": [ @@ -550,20 +550,20 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Solving a serially correlated interest consumer took 0.4514 seconds.\n", + "Solving a serially correlated interest consumer took 0.3125 seconds.\n", "Consumption functions for each discrete state:\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -604,9 +604,9 @@ "notebook_metadata_filter": "-all" }, "kernelspec": { - "display_name": "econ-ark-3.8", + "display_name": "Python 3 (ipykernel)", "language": "python", - "name": "econ-ark-3.8" + "name": "python3" }, "language_info": { "codemirror_mode": { @@ -618,7 +618,25 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.7" + "version": "3.8.8" + }, + "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 } }, "nbformat": 4,