{
 "cells": [
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "# Coding Exercise 1",
   "id": "c7f7eec74eb834d9"
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "",
   "id": "d73c78817458a21f"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-04-01T15:47:00.079736200Z",
     "start_time": "2026-04-01T15:47:00.070287900Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from IPython.core.pylabtools import figsize"
   ],
   "id": "22ccc7cd3c4f4f66",
   "outputs": [],
   "execution_count": 2
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "## Exercise 6",
   "id": "f9e17d98b31e5abe"
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "A) $W_t$",
   "id": "6cc529fb7d30ff18"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-04-01T15:47:02.405349800Z",
     "start_time": "2026-04-01T15:47:02.397720500Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def gen_brownian_motion(T, N):\n",
    "    \"\"\"\n",
    "\n",
    "    :param T:  Interval size\n",
    "    :param N: number of uniform steps\n",
    "    :return: array with trajectory\n",
    "    \"\"\"\n",
    "    Y = np.zeros(N+1)\n",
    "    X = np.random.randn(N)\n",
    "    X = np.sqrt(T/N) * X\n",
    "    X = np.cumsum(X)\n",
    "    Y[1:] = X\n",
    "    return Y"
   ],
   "id": "52f9fe4ac0818ad6",
   "outputs": [],
   "execution_count": 3
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-18T17:40:52.758054Z",
     "start_time": "2026-03-18T17:40:52.661358400Z"
    }
   },
   "cell_type": "code",
   "source": [
    "T = 1\n",
    "N = 1000\n",
    "time = np.linspace(0, T, N+1)\n",
    "plt.plot(time, gen_brownian_motion(T,N))\n",
    "plt.xlabel(\"Time\")\n",
    "plt.ylabel(\"$W_t$\")\n",
    "plt.title(\"Brownian Motion\")\n",
    "plt.show()"
   ],
   "id": "d38429a2fa726455",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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agsNNt6zH/HeW/v1zp+K29KRkxXUsewG4HwQ/AOBURHaHNSa8efmq8j5D00K1wPJh9M4faxS3xZ27QD++877JYw9t2KK4juAHwP24TPDj6+tLixcvpsTERIqNjaVx48aZfWyfPn3oyJEjlJqaSseOHaOHH364VI8VAGwwiT0nl7LTlDuzvA3jKtQadGxnkhXas2IlxZ29YPLYq8dP0trps6XroZUq0hMfvluswakA4Jpc5n/7zJkzqW3bttSjRw8aPXo0TZ48mQYOHGjyuGbNmtGvv/5K33zzDbVs2ZIWLlxIq1atoubNmzvkuAGgaEQQk5+TQzqdcncX68ysFaQEGGaAyWk1NJTuM3R6Fu7u14cadLgbPyoAN+ESwU9AQAA9//zzNHbsWJ7RWbt2LX3yySc0ZswYk8cOGTKEtm/fTvPmzaMLFy7QV199RTt27KDHH3/cIccOAMVb9so1zOMyd7+cGIAqZ6kbtBhzIVfOo3g7yQDA9bhE8NOiRQvy9vam/fv3S7ft3buX2rdvb7L1ddmyZfTmm6aTn0NDQ0vlWAHAdstezN+//q6633Tpyz/YNPjJzjAf/Fw/dcZmPYQAwPW4RPBTpUoVun37NuXm6v8YMjdu3CB/f38KDw9XPPb06dN0/Phx6XqTJk2oZ8+etG3bNs3n9vHxoeDgYMUJABzHy9tY8Mz8PPljeqdzL8rPy7NZ5ufmpSu0cOT/FLd5+/mV+NgBwDW4zLJXtmEqsyCus0Joc1hgtHr1atq3bx+tW7dO8zGTJk2ilJQU6RQTE2PjoweAohA7uvINmR8mMyVVygR5a+z48g8OKlLND3P2r2jFdZ8ABD8A7sIlgp+srCyTIEdcz8jI0PyaSpUq8dofDw8Peuyxx0wKJ4Vp06ZRSEiIdIqKirLDvwAAirzslaus+RGZIK1eP0XN/Gjx8ffHDwnATbjEVHeWjYmIiOBt6PPz9YMNIyMjeeCTlJRk8viqVavywIfp3r07XzIzJycnh58AwLmWvXKzVcFPtvngJ7x6VJEzP2o+/sj8ALgLl8j8HD16lNf7dOjQQbqtS5cuFB0dbZLRYUtkmzdvpoKCAurWrRvFxRnb2gOA6xU8CyITpG50WCGqClWoWsXkebLNZIXlrp06LV32Qc0PgNtwieAnMzOT7+JasGAB7/XTr18/Gj9+PM2ZM4ffX7lyZfIz/OF66623qG7dujR8+HDpPnZiS1oA4EI1P6plL5EJUg8+bdWnFz+/8M8R5eOzlHWCWhaMGEPnow/zy1j2AnAfLhH8MKyj86FDh3jPni+//JI3OVyzRt/OPj4+ngYPHswvs8aHLPtz8OBBfrs4iUAJAFxlt1eu9rKXqv6vUWd9RvjQ75vorQ496Yvho+ij3qYNULVkpaXT5SP63aFY9gJwHy5R8yOyP8888ww/qcl7/TRu3LiUjwwAbCkgNEQKTLQLnpVb3as0qMfPr544RdnpGXTp8LEifT9RG+QbEFCi4wYA1+EymR8AKPvY0lNQhfL88p2YWM3gR77sVal2Tb7NPS83l25evFKs75lwXd/eolbLZlT9rsYmjVMBoOxB8APgBFo80JOm7tpIddu2IndWoVpVfp6elGyS+RHjLuTLXs179eDn5/7+R2qCWFTnDx6SAqlXf/qGOj4+oNjHDwCuAcEPgBN4+tMPecZj+Oxp5M5aPtCTnydcM202Kmp+arZoSve9+CwNnT6Feo8ZyW+7YChaLo60O4kUc/qsdP2eoZgDCFDWuUzND4A78PD0JHfWoGM7fn5si+k4GrHs1UkjM8M6QJcE2ykW1agBv1zcDBIAuA5kfgCcSL5sfp078gsK5OfXTv5nNvjRkpmaVqLvmxR3Q7qcn4vgB6CsQ/BTBnR/Zqjb14qUFWXxjbdG87vohfmzqXKdWvx6eLUoGjT5TapYq4bJY/0C9cFPVrqy3ker47MtMz+pd+5Il909AAVwB1j2cnFNe3Sjh18fwy+/3qyjow8HSkg9z6osGPv9YmkExfS+j9Mzn0+jqg3rU732bWhan0GKx/oG6bebZ6VlFCnzk5VWssxPWoIx+MnLQ/ADUNYh8+PiIuvXcfQhgA0FhoVRg453l8nXVIygYIEPE1G9muJ+tsVcZH6yNTI/10+dsduyV06GcQ5YQa5+fiAAlF0Iflyct6rbLbh+zcuLX8+lOm1akrPy8PKk8lUji/x1BYahxOb4BBinqqu3uTNHN201+7Vajy+KuPMXpMv1O7Qt0XMBgPND8OPivGVDHj29sIrpirz9TANYtp3bWb24cA69s2WNIkALDAulEV9+ypdhzSkoMA1+np71EbXu+4Ci2JnVPWktcVnahZWRlEwlwTpD//TOB9L1u7p3KdHzAYBzQ/BThjI/voFoz++K/IKCXGrLe712bfh5+4GPSLc9MmEsNenamZ6dM93s1xXkF1DnJ5Qzt1r06kFDp00ptNjZnF8/nkWTu/exyfb0tDtJ0uV67ZH9ASjLEPy4OP+QYOkygh/XxMYzqPX53yinr/0pyDNmcqIa63vkFPbvfPTt8Wbv9zVkfiwtYW1d+K3ievy5C5SWkEi2EH/honQ5XzVUFQDKFgQ/Li6ovH4OknzZAFyLn0bww7DaH2cmz7aERISX+Pn8DJlLrWJnYfMXX9P62V9K19kwU1tJjI2nwxu28MuhlSva7HkBwPkg+HFxQeHG4Mc3AMGPK/LXWPZyBawjcpNu+tqYwPJhJX4+X7HsVUjx8v6Vv/J5XKs/nEm5WdlkS6d27ZMmxWPAKUDZheDHxYkJ2AyWvcpW5scZyWuRajRrQiO+mEltHu5d4uf19PaWMpeF1fyw4uT5I8bwIMjWLh05zjNaVerXpWpNGtn8+QHAOSD4cWHskynbZSNg2cs1udLPTb4dXWj7iPngx9rCbbbkZezxY9rgsLQkxd+Q+glh6Qug7ELw48ICQkMUby6+Adjt5crLXucO/MN3LjnT71fbR/qQf0iIdJsIUOQadLjbJIujXspS2/XdT4rrLGspFTwXYbeXPaQn6Xd9BYQaP1gAQNmC4MeF+Yca35RcLYMARuJN/+blKyY7l3z8TTMtpaXXSyPoyY/epQm/rijS0qqvLDvkH2z6O5lwPYYuHT6muM0nIID8DMF7tsZoi9KUnqjvGRRYHsEPQFmF4MeFqT+Fo+bHNfn4+/HznIxMfr77u5XSfR8d+JMadu7gkOOq1aq5yfKPNQG2PGDzDza2YhCyMzJJV6BT3NZ+wMNUPqqKU2R+MpINwQ8yPwBlFoIfF6YOdrDs5ZpEsJCTqQ9+/vpljXSfh4cHDZ2ubwJY2spROekyC4AGv/821WndwqrMT6fBj9KEtT/wXVNq6YlJdHrvX3Tt1Gnptq7DBlPLB3o6vOaHSTd0iw6Q1dMBQNmCeQguTP0pHMtersnHz5D5MWzbzsnM0rzfkYbOmEp127Qyuf3sgWiTmh+2hDXwnQn8Mls2k2NZreNbt/PxFZ8PfpZeXjrfZI5ZWqJtmhYWV0ZSCj8PDFMuKwNA2YHgx4WEVKpI+bm5/JOzZuYH4y1ce9nLkPnJzcoqdPZXaavVopnm7ce2bDMJfpp07WTyOPY7O2foC5Rw7bri9uwM0yxP6u075Ehi2Q19swDKLix7udDSyORtv9H7uzeZXeZic5I+2LuFmt3X3QFHCCVf9tIHPTmq4McZmBuae2r3fs1CabWzfx00CXzMLXGl3LpNjpRjCMi0tvUDQNmA4MdFVKhWVbEFWb7MJd402RsUu++Z2dMcdJRgm8yPbbsWF5eXr4/F+1nNTqqVgUqmma7N2sFPAjlSluGYaja/ixrfY5rFAgDXh+DHBXd2seUv+TJX8s1bDjsusH3BszoAKigocMjL7O1rfrnt1O599NUzo0mnU+7aMicrNVXz9vx843BUITNFX3PjKGLXHfP8V7Mc2m4AAOwDNT8uIqiCcXZSaMUIPs26Uq2aUlfaijWrO/DowDaZH+NyVzkP404rnaOCHwu1RtdO/KcI1gqTmaqd+ZEXc38/aQql39HXszmSug6J9fspyr8VAJwfMj8O5OVjeVlBTj7GIqRSBF/ianpvV3792Jbtdjk+sL8eI4ZRpdo1TYIf+e8G+1nf1V0/QLS01GnbyuKkdvlyldgabkmmmcyPCPyYw+u30Jn9f5OjiWUvITAsrFgDh6fs3EAD333DhkcGALaC4MdBHnxlJH24/w+KatzAqscHli+v+GPs7e9Hnt76xN25g//Y7TjBvh56dbR02VJ24bl5M022hNvTy99+ZfH+mNNnpcufDRpOP737Ie35/mezj89KTdO83RmXlETBs1CnbdFfd/bBJDi8AnV6fIBLDa4FcBcIfhzk/pHP8pqKB8eMtPqTpLwQVdRjFOTnU2ZyiubQU3Pqd7ib6rVrU6zjBvthy5fClq8Wm9xf7S7nmDLOdmOdP3hIcdzRazdQZop2dofJTNMOfnav0HezPrFjNzkL1oFart+EsUV+Dvl8s+p3NbbJcQGA7SD4cTB5caU5rMC5cZeO0nVvHxb86JdFcrNzKEtjJ425eg1WJD1q0Vx6ackXRVp2A9vz8DIOpV3/2ReKZa8/v15Knz/xnOLxpbULrJyH5T8Lt65e07xd/nt489IVKbDh96VoBz9n9h2gj3oPpGXj3iJnoVVjVdQJ7yEVI6TLPk7QpwkAXDT48fX1pcWLF1NiYiLFxsbSuHHjzD62ZcuWdODAAUpPT6eDBw9S69atyVlpBS5qz86ZLtWFqDM/ednZlJ+XZ/VyQpBs+aywrcxgXwGyaek7l/2ouI9l9K6d/M9s3Zd9j8t0HpdccvxNzduvHD8pXf7+zSmKfj3mMj/MneuxVJBnuuvLkTZ/uUhxPbJunSJ9fUhFY72Ul4VdcwDgGC4T/MycOZPatm1LPXr0oNGjR9PkyZNp4MCBJo8LCAigjRs30p49e6hNmza0f/9+2rBhA7/dWfjL3vQq1qpR6ONrNG2iuM4CHxG45ObkaH6NucyPPOAx17gOSofo15SRkmLVjq7iFN4Wh3ym1YVDR0zujzt3QfPrrhw/QTH/neVT2+PPX6SwyMrSfbevmjY4dGZbF3xDb97dna4cO8GvV4gy9tmyBqv3EZBhBXA+LhH8sMDl+eefp7Fjx9KRI0do7dq19Mknn9CYMWNMHjt48GDKzMykCRMm0OnTp+nVV1+l1NRUGjRoEDmL8Gr66dVM3batqLZhera12B9Tb18/xVKIut5Cnfmp2aIpT92zoZPG5zHWJVjCvpa9UcvrGKDk/A0ZFku1MubaHdiTmGZ++9p16c1f+G/vX7RLlaUSWAA3Z+jzNP3hwXx218Fff+cZrG2Ll/OxLK6G/d+6dUW/xCf/f2MNefd1sUQNAM7DJYKfFi1akLe3N8/iCHv37qX27dubFPZ26NCB3ye3b98+6tjRWDPjCCxwCI4I558I692tLDZu3quHxa/Nz1Uua7E/puIPKnuTYaY/MpjvurkTG2cS/FRtWJ/+t2IRvffnb4rhp9YEM2yLNftaNjZj0oaf8SnWDsteGRoF65qPNwQlpZX5YQM+1UNWl746SXOZVWBBjljCYjvCJrXrQRvnzCdXJXr+FHVunvz/n7UfMgCg9LhE8FOlShW6ffs25co+Pd64cYP8/f0pPDzc5LGsJkiOPbZatWqaz+3j40PBwcGKkz007dGVpuxYT0/N/IAi69dV3Gdp+cnD01Pa0r5p3kIp8yPqCHKz9ZmftIRE/mYjMkGhhi7QTK2WxqGUvrJO0V5WBD/N7zcGZuWrRFKFKGPWCkrGP7RomR+/YOPPzp7ENPP05GST3xFWY1YUIjh39eBHPeeLfeh67L2JNHLh5xRRs7qiwJlRZlhR8wPgbFxm2Stb9UdXXGeF0NY8Vv04YdKkSZSSkiKdYmJiyB5EUMLqdeTZl8KCEPmnRvEmqS94Fru9sjXrSFiRtCAfQeAfFFSkzE9ujvL5Ow4aQGN/WEJhlSsV+rVg28yPv50Cc5PvYzgu9vt228zOLnchtr2rMz9NunWmjoP6U8NO7WnS+p9p8vbf6YHRz2tnfrDsBeB0XCL4ycrKMglexPUMVUMyc49VP06YNm0ahYSESKeoqCiyhzxDEMGCFvUfUl9VMCQnL5YUO2a8fXxlu71yzBZaSnTa38uaQsz8HGWtRtdhg6lGsybU783XCv1asLLg2ergp3Sa5YksB+vifGj9FnJnopO1vIaHqdKwvsVp9vJMEWtNAQDOxSWCH5aNiYiIIE9PY1+UyMhIHtAkJSWZPJbdJ8eux8Xpa2HUcnJyeEG0/GTvzI/6D2l4dfMBl1jeYnUWoicQ+yQp7faysAzBUvOsyLnXS89pvoF6GZbTLB63KrgSKlTF8petCp4zLCx7saLj0s78iCUbtuTDCpYPrl1P7kp0e27dp5dieTrczO4vNq6DZc7kYzuw2wvA+bhE8HP06FFe78OKmYUuXbpQdHS0yVRp1t+nU6dOits6d+7Mb3ckEUSUrxpJUY2Unxoj69bmtT2Wlr1Y7YR4DmWfH/M1FWy7+8iFcxT1CPKaHflW5KLWbKiX7oCo7SN9qPf/RhU586PVoVuYO+R5+m78O9LPszR23IngXATbG2Z/RSd37qUlYyaQu5F3e277SG/pcoVqpsFPVno6jf/1e3rvz3WKQAnLXgDOxyWCH7Z1fdmyZbRgwQLe66dfv340fvx4mjNnDr+/cuXK5GeYDr1q1SoKCwujzz//nBo3bszPAwMD6eefzc8dKg0iQ8OLlQ1p8BVvvEcFBQU8kImooV2QLVLmLMgRxabKDs/ZZv9Ys9Q7C6zkImoYp78/9cn7hR63uaCsqLtf3KFb85MfvUv3vTCcqjVpVMQ+P+YzP2xo6LGtO6Tr41d/Z3F0iS2IehXxu5R2J5G+eWUCndql3EXpDuSvtXwTgVbNm19gIIVXq6rI+jBY9gJwPi4R/DCso/OhQ4dox44d9OWXX/Imh2vWrOH3xcfH8/4+DFu26tu3L91zzz388Sxb1KdPH7M1P6VFK0Nz/b8zdPPiZcUf1vrt21K3p5+U/ujKmxmKhobsNjHoVP3G+dWzL0mXff1NAxR1kFVYSt7cp1ZkfpSq1Ktb5MCQvVkyWRa6HzPyBois03dRG+6VZNnL3Skm1ssCocDy1vdcYkOICxsZAgCly2Va/LLszzPPPMNPaupPwmw5jHV3diZatTlstEXq7TsUWa8OBUdU4MtQoxbP4/exXTZsqYEVNxszP/rgh2WKKtbUBzEJqs6510+doZTbCRQSEa7o1GuuIJoFXawjrzlieU0N3aH1W/+7DnuC9ny/kqo0qGeS0SmMCDzN1VWZExpZyeLPzFbBjzVz58q6cwei+f9TFux3f2YIL07/6+c1RSo+Z/VCVRvUo1mPPc1rqADA8fBxpJRovcGxnSSpCQn8cnB4ONVq0VS6j72pMvLC5pzMTGlZIrx6NbNjA8SbViUrRmewN1JLRPAjnzgOei8smM13vw379EPyCwoo8gwuUc+Vn1u04MfexeY+hpof9XRzd8RqCn//7AupFmrApHHFmtLOPuCYW9pmGt3Tkabu2kiNu3Yu0fECgHUQ/Dgo83Px0FEezLAsDdN+4CP8TVSo164NL6ocNOVNqVBadNtlNQXsOpMQo2zoyIggqWLtwoOfsEKmVYsZYfHnLynvsHPdibPyCw6i+h3u5ssYlevUkmav+ciWGK3txCwyP3mqdgJaWG2YEGHI+tmLWLbLycSyF5Nq+D8qVKhetVjNHNn/aa16LdY64oWvPqOgCuXp+S8/LcFPDgCsheCnlMg747Jaii+f0dfmpCXc4efijVQuqHwYRRgyPKw+RNRgsCUnUS+i/sOsf36R+TFOgjcntJBmhaJYM/7CxUKfyx2MnD+bRi2aS52feFS6jQ0mldf5WJv5ETu3rHnj1OUbg586bVqSvbBlUbZEw2QZety4u5RbCYVOvRetLOTOHzykuD7wnQnU+UnlMOZmPbvxpqEAULoQ/DiAfFaXpaUF+RZ1Vv+jnrPE3jRFEzat3iRVVGM0tBTWqVlkfm5c0BdmCx5uWsDJhrwyHR7rL93GRovIxxmI/j2FMbYxKDzzs/fHX6TL1Ro3JHsZ/tnH/Dz5xi26fuq03b6PK1F/wPCTdUmXaGR0EuNMl4rvGarfmCG07vugLQ4RAIrIPd/BHEw+GDI3SxnQyMm3TH8/cTLf9SP/hMm2IGvJTE2TdgYVJszKmp/MlBSzDRjdkbxfUmrCHUXjSh8/Xz5MtrAdQcZlr8IzPxvnLKA102Ypvs7Woho3oNqtW/DLRzZvlQaUujv285XT2s2ntQEgI1m2U0yjhcSoRfOo+X3dbXSUAFAUCH4cHPzkaKTLBVFYGfPfWWnJS779OLWQ4Mec03uNDR/ZtukHXxlptjkfq3Fh2I4XNfYm767kwQ77ecrHGdRs2YxeX7Wc3tq0yrrMj2xgrzksQDq84Q/pjdYeW6crynpAXTp8zObP76rYpHq5Hs8NU1yPXrdBM/hJu5Nk9mdbr11rqt+hbYmOiy2bijlsAFA0CH5KEduGzlyIPizdpl7KYl1iLxw6wi9Xb9rYZMSBfJksI1E52kPQytII25csp+8mvEN/fr2UX2cZivtHPsub8wWF63sHyYnsRVpiksmYA/nwRnemH1nib7IbS9RlmePlbX3Bs/px8oG3thJYwfjzP7F9t82fv6w5s+8A377+85Rp5KkxKubayf/o7F8HNb/WFpPexyxbQFN2rre6xgwAjBD8lCIWdHw34V36ecp0zWWvuHMX6N3OD9CVo//y6+KPWoIs+BE7uSwVpFrqGLxl/jc8i7Nv5a8m92m9WYtjYM3e2NLL6g9nSktv6k627hz8yDM/1mC7fsQbZr4Vy178cbIsgj3GXLBeU8zeHy1nrECPNR2NPXOOLw/Ks7nClWP/0sr3PlLcJsbxeHiW7E8vWzZju8S8vL3prc2r8SMBKCIEP6WI9eQ5uvlPxc6vHFnwIwZJJt+8pfi6hBjjUFZ54zl11kjIlAU/LKASjm/dIX1vsctMTj1wlS15iXR+RlIyL/zcv/JXSjfUMohiaHfHgkCtbtqMueUpT1ndjrWZH/kbrD0yPyHh4WZ3ELo7reBGvnHh3227pMuf9HuSZjzyBP//yYrh2QcGtaIGy2psYLH8Q4tofQEA1kHw42DyzI/YuXXr8jXFY9gfUK16HnPF0vKAiqXeLx/TZ5L+3W78A63VaVb9BzkwLExaipMX5eYagi55jYg7Y40o/YK1l7jMjbqQBy/WFDybzIgzLJnZUmAF4xInKGmN+pBn4n6ZOp1/sPl27Jt04+JlunnpinSf1vgS/2DrdgSa2wX6zhb9aB9BfR0ALEPw42A5GabBz83Lxj+coo+McGLH7kIzP0nxN6XLv370KX394qu04PlX6MjGrRaPRV63wgSW1y95ZSQpa4huG0YrNLv/XovP507LXgFmCk/9VNk0reBHK6tgjsg22GPZS2T+sjWK293d6T1/mdwmL2bOSk3jS9onZB8wpPvSjIFTxZrVqevTT/CGh+awzQfjf13Bmx5qadSlo+bt6swtAJiH4MfBlMtemVKPFXlHXzZPSLh6/KTm18pd/OcIrXzvY/p04FO8PocFVef+/kcxIJP5etRrmmMNpOt+fpqfeo9u+lOabQX6ZS9zg17NZn4MmRutmW+WiCyRNctebEt8cIR+Kcsa4ljR3NDU6o8+tbjsZYm8To/pN2GsxS3ubPMB69HV8/nhmvd7eHkWuhQGAJYh+HEw+dKVSKOzJSl53Y48+JFvObfUI+jgmt8p7qyx3sfcbpVD6zebzfyIuWLqZRkxT8zddpmY62vEPnGzAtTiLHtZW++jzjZYE/z8b8UimrJjvdVBqih4xzR3UyyzU9gWeHOsyeyx5TJ1O4nI+nU0H8s6v2u1IyisWzsAGCH4cTB59ib1jrEIWZ4RUAY/xj/CRX3j1PLDpKl07I/tmsGPGG0hpskbj0df8MwGNbpT0bO5CfeWmMsIFaXBodYbbmHLXqzQmjUttLRMYq7mS3QIB8us6c9kTfDDPuhcPnac0hITreq+LtpPXDqiDH7qGBpUAkDhEPw4GNsmu2v5j3Rk4x+0c+kP0u3lyNguX747TL4koTUksTjEJ075cE55poNt6ZWTB2MDJr1Ozj6OomHnDjZ5Lq1ALzEuXrosz9YJ4YbZbHLs5zZq8bxiBT8i4C2syzNrXikdV6r51gdaNSNY9rKOtctebEyIuks088f8JTT3qRfokwFD+aYGdcd2cx8uRC0Qa6Io1/LB+6w8cgBA8OMEfps5l1ZMnKxIrZtbv5en2s2t/ReVWObwCfCzMvNjDH7aP/owOSsWZLCln5ELZvOBnSUlXg+5q/+eki6naGwRb9Kts3SZddKetOEXqt2mpXQ8WrPZrKr5KSTzE1m3VqFLb2oi81fUY3JX1i57sQ84U+/tSyd37FHczl7nK8dOUIqhtUW6KphhS6miYabWspd6V561M+UAAJkfp7Vp3kJ+vuXLRWYfY67OpKjEG6oocFbX/KiLcrW2yTujYNlgWHn34uJSB4eiOF0rKJSOQVZwzDpps0/zrWSf0Is6pkJkGyxlfpr36kHPzTP2lvHXGsSpwjIM4vdJ3ksKjNbO+LxYy16iuaE6s5OlWl5U9/cyF7iKZa901TJZcZZlAdwVMj9Oase339PnTzxHfyz4xuxj1Lu3ikvaPq2aT2Su4Fme8WB9hByF1bS8MH82H9GhRf6pWV3PVBxajQzlo0TYm5soQr0TG6coIpYXHcuXET2KGPyIn4XWOAVh+KyPNOezWSJ/k1XvTgK9PStW0rS+j0svh2cJP3yoM2y3rlyzavt6UHnjspc8m4TgB8B6CH6cOKVuLrDY+vW3vJHaX7+stc33MhRkeqiCH2/D/CH1shezfvaXDv+0yQKfRl060EtLvtC8v0KUMeDwtyIAKIxWV15500lWsLps3Fu07pM59NPbHyiCioq1qmuOESlXxDEHxt1ePiUuulY8xnBMrKGlGMEApm7LAhTfQma3qalfV3Xwo+7vZTbzY2hGmZ6YRD+8/b6UkWIBsa2ywQBlHYIfF7R53te8hb5Wga09Mj9avWjErjNrsgr2IupmAkK1GwxWql1L83JxaQ1ylc9RYzUbrLB193c/SYXQ4pO7vJhc1Gwwqz8wHX1gTZ1JUcZb+Fmx7BUQpt3QEsyztpbK3LJWdrpya3uMYfCxxZEzQYFSvRcLtlmd4N+r10n3FyUoBnBnCH5Atn1anfkRwU+O2a61hU0ud5SHx79C97/4rHS93xtjqeuwJ0r0nFpLZ/IAVF7TIT7Vs69hdT3yrxU1G/HnL5qd+l3obq8ijLcwFxzKBYYaBtga2hiA7YMftpvzzP6/pev5ecraORY4s95b8loyk5EzhiUv1hBVDBiW///0NnxgAQDLEPyAtOxVlJofKfMTFFjkol1bsVRw2n34EJPbWABk68yPvO9S0g3jWBH5dnEW+PhoBD9aBa5Wz/YqwpucmNZuXeYHwY+1irorjtVSsVEzgtb/q2/+N5GmPTSIzh6I5tf9VAFW/fb6sRhih5io/RP/F1D3A2Ad81WT4DYKC360l73SFW/u6u60pYENWBVLAFUa1KOqDeopOlbbmsjesGwNW474a9VaunX5Kn8TYxmZ/3bvV2TT2BsSO763Nq6iy0f1w2XFfKfCOnSbI4bKqnfmFTYIszCiWzeCn8ItH/8OdXysv8WdmJasmTaL939i/X/U2O8S66Au2k/0HTeG96lis/lY5lIE8HdiYpVfl53Df9eKEhQDuDMEP2B2WKalgmf+5p6Tw2sMWE2JI4IfeQHp+NXfSdmU8wcP2eX7iewNe3Na/aGxVueT/kP5ri/1J3mWGfAKC+WZnrvuvcfk+YpaMCvvCO7tr11orlXwymqjWHbO0u7AgDD90lg6Mj+FOrZlGz8V194fVhX6GHmX7frt21Kl2jUVmcs7scbmmuIDCsvCulPHdYCSwLIXFGvZS77Tydz0aXvTavJYvqr9hq2KZS8xgFZIuHZds8dPYQGhufEFlogsnLnlDa06FPZzDSxveQ5bSESEZuM8cIzMVOXvzt39H1L83t2J0bdSMFkONXxgAQDLEPwAFZgJfoyDLi33fXlt5bcO6d6sVWzd66URFNVIP9NKi/rfWBQisLC2D05hHYBDKlW0+bJXgKFwWf2mKIIbcyLr1ubnNy+ZbreG0pcsqx9jejw3TFE0H3v2nOJ+kZ1FwTOAdRD8gFQsqd7tJdrla2U1GFuMjCgubzNv/qyx4bhflpn9upLURPgb+uXIe/uUhNjZU6zMj5nljQqqzFfCtRh+HlLR2GlaS2VD8BN/7kKRjwlsLzH+hsX7Y/47W6SMIAAoIfgBKfNTp01LenrWR+QfEqLYIi3vYuxI7A3/1Z++ocenvqU5asIaJemDIl6XkvZXOrplG63/7Ata9cEnRf7aHMP2ZnPBX3nVLCjxJmop88NqkkQjRFbPBI6XJBuYq8YaUaaq5sgVZxcggDtDwTNINT9Mi149KOXWbdq17EdpV5K5zI96OUn+PPbQ+qEHqPpdjfnpz0VLbTac1FoiE2btlHQtP73zAUWv21jsrxe9Xcx9wq8QpQx+Um/p3ySDDZkf9nNixc/yOi6RFWJ9iuz9MwTryNsmqP34lr57uFyWoUbImp5OAOBCmZ9p06bRzZs3KSEhgWbMmMFrPsxp37497du3j1JTU+n06dM0YsSIUj1WV93tJV8CefLj9zS7GJtjadaUrbCt7EJAMSdYe5Yg+BHf09rMz8E1v5vcdnqfscldcYjt8eZqfuQzxBgWyDKhhvqikQs/p8nbf1cUqYuskNZUenAMNgn+wwcGSGNk5LRqzkTPKPFzBoAyEPyMGzeOhgwZQgMGDKCBAwfS0KFD+W1aKleuTJs2baKdO3dSq1ataPLkyTRv3jzq06dPqR+3q1B/2meBTN22raTr5t7s5R2NS2OmkHxMg7V/5LcvWa64XpKCUDHKw5pgkNn13U/0zSsTaOlrk/h11t1XvVxR0q3ubMeYfHJ8edk8M3kGIbRyReoyZBDVa9eGZwcadLxbeszzX82S3nDBeSTGxtP1k6a9gHIMRe9aBdKhxdhBCOCOXCL4GTt2LL333ns8m8OCmokTJ9KYMWM0H9u/f3+Kj4+nt99+m86fP08rV66k5cuX8+AJrAt+QsLDKeG6sYmaua3uC154xSa7qKwlr2ew5o/8qV37aMPn82nmo08Zn6NEmZ+i1UCxYOLkzr307587aULLLrR49OtUUvJlL7b1/t0/19GUHeulTKiYZL9u5hz64P7+lBSvf1MsHxlJ7fr3lZ6n+l1NpOaGInBNTUDmx9lodQFH5gfADYKfKlWqUI0aNWj37t3SbXv37qVatWpRZKRpT5fNmzfTs88aZzoJoaotwGB+S3ZYZGVpwvTRzX+afanizl6ggvx8zYnw9iBf6hHBD5tuz5oaWhq+ynYw3TJM4y5u8MMCDbG0l5lS9N1e7HUSr5Wtlr0q16mlKAZnJ5ERO7JxKyXF3+AnJqpxA35Sj7yo1aq5dNumuQtLfHxgW+p+PuaCnxRR22XFKBMAcJHgh4mNNWYibtzQ/0GvVq2ayeOvXLlCf/9trKuoWLEiPfHEE7RtW/E7srpb5oe9iZaPrMwvH9u6w6qvLY3Mj3x7t2gQyGpa5o8YQ79/Os/k8fL+RCJ7VdRhlOp6H1YfZW2fH3uQb3UPrGCcDs8yQTWa3cWzOGypSyyvienyamL5T4y+OP7nToo5rdw+DY6nlXXVakQpzdpz0kHDAM7GKXZ7+fn5UVRUlOZ9QYY6j2zZJ3tx2beQnhbseVevXs2XwRYu1P5U6+Pjo3ie4ODiFdKWpYJnpmKtGvy8sDd6FvywN17PUs/8VFTUP1w5ftLk8fKmcFXq1+Xnwz/7mN5q36PI39s/1NDzyMHb/sW/l211Zxk6oUGn9lLWRz5HLCs1jS+dqGukxG4x8Zo6MqADyy4dPka1W7dQ/EzVRO8p0bIAAFwg88N2Z7H6HK1Tu3bt+GPkAYq4nCGbf6MWGBhI69evpwYNGlDfvn0p08wf90mTJlFKSop0ionRN4VzJ/kaha4imNEqrpQTSzmlsdvL218W/BjezMWbNhsS+fWo1/jQUfXWdHMBkZbarZprNm/0NwTFJe3xU1LyZnYiO8c8NWMq3TN0EL8slrqEA7+sNXkeL8P/IfGailoicD4LXvgfzXrsadr93Ur6pL927WJ2enqx58UBuCOnCH527drFCza1Tt9//z1/jLy+R1yOizNdDxfZmy1btlDTpk2pR48ePIiytIU+JCREOpnLQLlDk0NGTJMWcgoZbSGyRqWx20ve20ad+REdkxeONA5/tGbYauN7OklLP6zJ45jlC2nibz+Z7/Hj6ODHEKT4+PuZ9PQRmSB1XyatAFbUPkmZn2JMmIfSW/qKPXOO1n3yOd24cEnzMeJ3nQX3WjPvAMAJgx9LWIDD6ni6dOki3cYus9vYcpYaC5h+/fVXqlOnDnXr1o1OnTpl8flzcnJ4PyD5yZ1rflgRs1xhyyFie3RpL3v5Bpifs/Xt2DfpwqEjtGH2V9JtbPeTOsPRtEc3vs17wlp9gN2ka2ezGSOpx4+NRlsUlzyQiTA0oVRTBz/ZGq+RqPkRdVRY9nJtrOuz4BuA7A+AS9T8FGb+/Pm8seH16/rW+9OnT6dZs/S9SZiIiAi+rJWens4bGt577730yCOPUFJSEu/7I4KcxERjXxowYkXDm774mjKTU6hhp/aKl6aw5RAROJXGbi/R26awrMaJ7bv4Se7Uzr3Ub8JYaY4ZU799G8UWdkufmI2jLRxb8yPf1Vapdk3Nx1iT+VHX/ORmYtnLlbEPIeznzDKCfkEBDv89BXB2LhH8zJw5kypVqkRr1qyhvLw8WrJkCc2ePVu6Pzo6mpYuXUpTp07lTRA9PT1pw4YNiudg/YFYUATa/lyon8wuL6y0tuDZEZkfwdqMhQga5M+RnpSsWAaSL92x6/KdNn6GXWKZViyl2ZOuoIAfFzs+czt7TIOfTM2eSexn1uGxfvrHYNmrTGR/9MEPMj8AZSL4KSgooNdff52ftNSurZ9IzfTu3bsUj6zsUWcJCqubkQqe7VxnwAITrR49hRVkGx+XLRVms+dixy3f5db9mSGKJops6UvejVkUCGv1EyptLBtnqV+R+lO//DViXbnZaAv29Z0GPyp7TtT8uDq2CywkIlzKZAKAC9f8QOmSZwnYJ8nCBl1KmR877/YyN8jT2oyFPGgRzyXv+VOjaRMKDDP2zVEPiPTy8ebn+Wa6XZemwv7NWekZZn+mcef0NV1sR1v/N1+z+jnB+aUm3JF+tmzGm1btGgDoIfgBs1kCa6a5SzU/dt7t5WsmlW/tsleeLPip2aIpP5cvD7DnF40TtYMffaYlN9vxwU9h2Sd1Fkcr+FErVw5/ClydyFSyTt7v/LGGpu7a6OhDAnBa+IsHCvIMQEZS4cFPgWHpyFxmxlb8zQU/GUXPWLz49RzFjjH98wdR+arGdgrqehoR/OTlKEeBOEJhRejq+1Nv6zMCzMkdezS/hs34AtcmRlywXYylVYcH4KoQ/IDZLEFGsrEguLDMzzOfT6e+r71st1dTTFRX1yCVZIs22xUjBIWXVzQ3FMtc6ut5uY7P/BRW55SjCn7Ybj42VHX24GfpyvETml9z8dARmx4jlD4xmJYteQGAZQh+wCbLXsy9zxmnp9uan2HMiXpWFdv9VFzybrjq8Q/qgmIp8+MEy163rlyVLq+Z9hkteP4VSrgeo7nEJ/y3Zz/vgq2VuWJfe/3UGTseMZSGtIREkxl45TzwJx5AC/5ngELyjVsmBZSW2GJSeVGWveTb07WKe4tCXuOjJt/55WzLXldlc8xuXrpC5/7+x+paJBYsqrNnsWfMd0AH16E1d06dwQQAPQQ/oHDr8hXp8o0Llwt9dQrbDWb7ZS9lh+VrJyx38DZ3rOHVq0nDW+VEbx8vbx+nXfb6d9suXrgcf/6itIxVlCCUDTqV2/fTapsfI5Q+rUytpZYIAO4MwQ8o3IkxzktLMHTUtnYumD2JZa+sVGPWYs00Y5dva8wb9qJUA/Pkh+9oPibu/EXtzI+v8yx7seP/9NGnaOaAoZRtyHyJMSNWff3N29LlZePeonMHou1ynOAEwY83Mj8AWrAdABRYBuH3WV9Q5Tq16Nzfhwp9dfJkjQLFDir1cFRbED152HOzKddsDMf+n9cU6TlE8z9vPz+KrFdH8zG3Ll+l6k0amRY8ezvPspeWImV+bhkzP6wOCMoGZH4ArIfMD5jYufR7WvneR1YVEyfF31Bcf3/vZru01xfBCOtxwzIV6z/7okjZDvkuKDbi4rahQPjbsRNNuuQy3j5mlr1yHN/huaTLjyxzJDh6UCvYTkaK6VBmdQYTAPQQ/ECJsLoTdZq97t2tbf6qehrS9yXJvIj+N6wbdVD5MM2ibvH8nuZ2e5WBzM/pPX9ZPb4EXAfb5ZedoWz9gIJnAG1Y9oISiTtr2jE4wEZt9Rvd05G6PjWYfpk6XapdyJdNZS8qeedj0QslU/VpWWR2vM3u9nJ8zY+WomTBLvxzhH6bOZf/20vSKgCcT8K161S1YX3purpwHwD0EPxAicSdNd0mHWphC3lRvPDVZ/y85wvDycMwfkE+jLSotAIX9fZgkdkx7fMjlt2cM/j57dO5NPbHJbR9yXdWPX7X8h/tfkxQ+sz93gKAEpa9oMS1JvLeQEyl2jVL/KrKh46SzrjsVZLMj5bMFGXNiwhuzDU5tPX3t5XYM+forfY9acuXixx9KOBA279RBr/Y6g6gDcEPlNhnjw9XXJen3YtLPmqCFSGLqfF5Ngw+WL2POpiR+vyoPjGzImlr5mo5krMGZlB6/lm3kT7p9yRdM+ziQ/ADoA3BD5RY2p1ERaEly/x4eJVsyruPv78iCyQVPNvwDZ7Nu1IzBj/GzA8bEClGBmSqmiwCOBOdTkc3Ll6mgJAQfv3Jj9519CEBOCUEP2ATbHaUPFhgU9JtGfzYouCZOfbHdn5+5fhJqcfN0lff5Lulfnr3Q6mJoTz4Ed2lGdFUEMCZhVerys8DDbsaAUAJBc9gE6s/+IQ3Wev0+AB+3Tco0GQOlzV8/P3o3ueGKYIMfebHyybBD9s5FnP6LB1ev0UxLmJSux4869Pywfv03zPA37S7dFo6dkcBAJQBCH7AJljgwwKgu7p34RPSi5v56TLkceo16jmTrtEenp6aHaWLim3v3rZomdnlrtTbCfw8pGIEz/i8/styaZ5YVjp64oBr2P3dSuo6bLCjDwPAaWHZC2xKNM1jmZ/iqFTbdNioLTM/hUky7FwLrVyR2vXvSxWiqkgF3KL7M4Cz2/3dT1JHdAAwheAH7BL8+Bcz+BGZFzm/wEC7bXU3N/GcZZvYfDM5dEMGV5FjaOjp7etL5cqVc/ThADgdBD9gU9mGpaGwyMrF+nrfQNOgKbxaFPkbio7tPV6CjQgQAyKrNlJu2UfwA65C3pIB870ATCH4AZsSYyMefXt8sb4+IFS/RVeOLXlFVK9War1sRNdndQAnan8AnJ18uUv0qAIAIwQ/4LDp4loKmwtW0oJna4idZiER4Yrb0eMHXAWb2SaK+EcunCMtGwOAHoIfsKl1n3xeoq/318j8yJVG5sdcL5/sNPT4Addb+qrWpCG1faS3ow8HwKkg+AGbij1jOui0KNRb5P9e/VvpBz8Z2kEOMj/gikXPTNUG9Rx6LADOBsEP2JR8/ERxUu2KgaZEdCcuXnE9Pz+fHJX5wVZ3cNW6nwpR+o7PAKCH4AdsSr4bS4ykKG7wwzpEXz1+UrrOpscnxd8kezO3q0vsZANwBboCnXSZbXkHACN0eAabki9Lscno2UUok2H9SFh/HebQ+s3059dL6ealK/Tt2IkUd/YCJcbF8xlcDlv2SkXwA66pnCc+5wLIIfgBm+8yYTu+2HDToi57yYeZshlcomDzxPbdpfpTMlvwjMwPuOgHEWR+AJRc5uPAtGnT6ObNm5SQkEAzZsywqmtpSEgIXb9+nYYPH14qxwh6+Ybt6CzzU5wlL5bdkTdpK23mgp87scr6IwBXWYL2K2bHdYCyyiUyP+PGjaMhQ4bQgAEDyNvbm1asWMEDoVmzZln8OhYkRUVFldpxgl5ebg6fzm5t5oc1E+w2/Ek6vfeAxeCjtJgbYHrnekypHwuALTI/6o0EAO7OJTI/Y8eOpffee4/27dtHO3fupIkTJ9KYMWMsfk3nzp2pZ8+eFBcXV2rHCcXL/Dzz+TTq+tRgGrlgtsWam9IiD76O/bGdn7N6I53OWEAK4Ozy8mSZH42xMQDuzOmDnypVqlCNGjVo925j3cfevXupVq1aFBmpH6Wg5uPjQ4sWLaKXX36ZsjHVuNSJzrKeXtrBD1uyfHzKJOox4ml+vfpdjRX3Z2dkkiNlyYIfVng9b9iLNPvxZxx6TADF/RDC+AQY6+kAwEWCHyY2Nla67caNG/y8WjX9vCe1t956i44cOUJbt24tpaMEOWPmx0fzhanXvi21H/gIPfTqS5q1WzmZjg1+5JmnnMwsunz0ON92D+Cqy14eHh6KDQUA7s4pan78/PzM1uYEGTr+yjM44rKvRu+Kxo0b06hRo6h58+ZWfW+WJZI/T3Cw5dlSYH3mJ6xyReo38VXepTn+/EXp/ha9ekiXA8uHmXy9I4ud1bu6cjONXXIBXMm2Rcuo8T2dFEXPjv5gAeAsnCLz0759ezp//rzmqV27dvwx8gBFXM7QqA1hy12sPogVRFtj0qRJlJKSIp1iYlDUaqvMz8B33+C1PP/7frF0HyuC7jiov3Q9tFJFs8GTo2TJZnjJRwQAuJJLR47T5G59pKad8qJnlpV98es5NPCdCQ48QgA3D3527drFlz+0Tt9//z1/jLy+R1xWFzOz2iBW6Mx2gaWmpvITu23BggW0ceNGs1vo2ZZ4ccLusJITwUuAYUipr6zeoOuwwYrHhmgEPw7P/GTIMj+oGQMXlnYnkbLS0vhl0UBUZF8bdGxHnQY/SrVaNHPgEQK48bKXJSzAuXLlCnXp0oWfM+JyfLyy7wrL2tSrpxzgx3aHzZ07Vwqi1HJycvgJ7LPLRK3vay8rrodXM5055OiAw9Fb7QFsSWR+5L1+qjaqL11+ZcXX9HqzjnjRwa04ffDDzJ8/n/fsYQ0LmenTpyt6/ERERFBmZialp6fThQsXFF+bl5fHl8DkBdNgX/my5moCywJlJKeY3K41bTo327HBKMs8sQJntkyQiMaG4OJEMC9f9hJZWQB35RLBz8yZM6lSpUq0Zs0aHswsWbKEZs/W94RhoqOjaenSpTR16lSHHieYTnYXIuvV4TUIalUa1nO6zA/z/n39+A4ZR9cfAdhq96K81498CQzAHblE8FNQUECvv/46P2mpXbu22a+1dB/Yv62+8PLS+TSp3b3S9TP7/6aGndpTlfp1Tb/ewZkf/TE4PgADsAWtgmd18MOuO7q5KIBLFTyzbeoA5vqLyAVVKC9d3vD5V2YHLublIPAAsBUR1CiCH9W4C/8QtPgA91Li4Id1W1Zr2LBhSZ8WyljmR8zwElvhM5JM63+EcuWcYhMiQNkqeFYseykbHvqH6PupFYWXry8FhRs/0AC4kmK/y/Tt25feeOMN3oRQ3Wl55cqVtjg2KGOZn7DISvw8NyebMg3bb7WgFT+AfQueTTM/RS+AfmPtDzR150bNdhUAZSb48fT0VFw/ceIE76PDdlotW7aMNyRk/Xp++uknyjXz5gfuW/DMDJ0+VdpNlZ2Wzmu5hNgz56TLaMMPYN9lL/F/TNwXWIzdX6JNRcNO+ka0AGWy4Jn11WH9chYuXEjJycl0+fJlvgWdBUF79uzhj6latSrVrFmT3wbuS575ObplG0XWrc13ewlsBxWbkM4+kfoHB5k0NlSn5AHAtste4vKNi5epRtMmFFpZn5UtDixTQ5nO/Hz++ec0evRounbtGr/MpqozIvBhWC+dv/76i2eEwH3Ja37YLKHrp85o7ubKlP2eyLe3x8iyQABg22UvD09P8vbTbzS4ceESPy9fxdhB3xrlPIxvHR6eqNED12P1b+2nn35KderUoZEjR1KHDh3o7Nmz9Msvv0iztwC0Mj8so8Na7MvlGnrniE+k/LbsbJr56FO0cc4C2rn0B7yYAHZa9pLv7Io7q28KW75q0YIf+S5NeSAE4CqK9FvLajRYTQ8Lfnr06MHrgPbt28d3fPXvbxxWCe5NkfnJyKS0RGXwU5CXz89Z3Y88SIo/d4G2LV6GHjsANiQ+ZLAZXmywcFD5MH6ddVy/ExNrdsCwJT7+xhYnnl7KelAAV1DskJ0FPI8++ig1aNCADh06xDsss2wQgDzzw6aip99JUrwoIuUun5iek4np6QD2nlXX5cnHqFar5vwyy8iyMS6Wxl30HTeGXvrmS4pq1MBs8IMNClCmC56nTJlCoaGhmqewsDAKCAjgy2IAebk5iqAmLTFJM2UuD3jE5GkAsK2sdGOG9a5776G6bVtJTUdF8BNoyAbJhVeLonufHcovD5/9MX3c+zHj/2FZc1uMyoAyHfy8++67lJWVxTM8hw8f5ju+UlJS+ElcZucAebl50ouQm5VFaXfuKF6U1IQ70n2Cpb4/AFB8WanG/1uptxOUw4YNwQ+rA2K1OzpZ+4mwKvqmpCIQCqtciZJu3OTXfeTBj6pnEECZWvbq2bMnbd++nZ577jlq06YND4DWrVtHO3bs4JdZn59bt27Z92jBJeTLhoGy3V4x/52lU7v28esJ12NoxRvvmmZ+Uo2fTgHAdtiHDdFKIrx6lHT7pcPHKN3wgZUN8RVtJ4RWve9XXI9q0lBz2QvBD5Tp4Gfnzp308MMPU4sWLSg7O5v+/vtv2rRpEy98BjCX+cnJyqb8vDxaMmY8vd6sI0+d34mJ09+HZS+AUvHnoqX8vEqDetJt30+awjcfZBoyQwFhoYqlrI6DlJtYAmS7xLzlwQ8mxIM7FDyzouZRo0bxPj8HDhyg77//nmd+hgwZwj89ALAmhvLdXubIC57lqXkAsC3xQcPL25ufR6/bSImx8fxysmEpa9L6n6lBR33rElEULafVIZrxs8OyF3v+e54azJfaAOyh2NHK7du3aerUqdSoUSP69ddfeffnixcv2vbowCUV5BkzP2yZyxxlzQ+WvQDsRf5Bg0mXbUI4/udO6fKLX8/h52J3F1syO7R+M7/sG2DsEB0hWz7zlXWOtpUBb42j/hNfpWfmzrD5cwMUqeB51apVmju9vL29qVy5cvwxbNcXQFB4BelFuH3tutkXBMteAKUjV9VKQt5769aVqyaPF1vf//ltE3kY+vjIMz/Vmzax6yDidv376r9Pk0Y2f26AIgU/GRkZfHxFUlKSxRNA3NnzJg0NNeljZi7hmvkMEQCUDNt4ICfvvZWZkmY2+MlMSSUvXx+T4KdG08aF1vywAIkNPd2+5DsqyLfwdwDAmYOfp59+2r5HAmXG1X9P0fwRY+j2lWsWH8e2zwrqERgAYDts44GCIVsvAhw1MQIjIyVFCm7EMNRqTRpRWGTlQmt+Xv1xCT/PzsikPStWWn2sXrLRGczd/frwGiUAW0KFMtjF+YOHpJ4g5ohaAvZYALAfdebl9N6/pMvyAcMmmZ/kFKlJIsv8BIWXp9dWfqtYti5sq3utls2KdKx127RUXH/iQ31rDACHZH4AbO3q8ZN863vyTfSHArAnefPCN1p3VYyg0cr8iG3tGSmpVM7TWPNT/S5jrU9iXDxVrlOLvHx8yNPLi7e00NLygZ50bMs2Or51h1XHGhaJHV5gfwh+wKEs7QYDANu4EH2Y9v64iq6f/E8R+IgAx9yyFwuMvEXNj78/6XQFmjvGWGDEBqWaM/yzj+nW5as0a9DTUsNFc/yClM0WGTaQVX3cACWBZS8AgDJOp9PRmo9nadbO5GUrgxEPT09p2YsFNLmG+9lAYl2BTnpcQUGBFMhY0+iwYq0a9Ma6Hwt9nJ+q0zSj7j4NUFIIfgAA3NzMR5+SLgeEhUjBDMsKiQCHDSRmy1sCa3EirweSk4+/kKtQtUqhxyIKq+Xs0UsI3BuCHwAANxd/7gLflcVUiKoq3Z6VlqbI/Pj4KXdiZWdkaAY/Ilhhhdbvde1dpGPxC9Z/7aUjx423BWF4KtgWgh8AAJBGzIQbgh+2zZ0VSsszP/KZXqxPV3Z6huaylwiGWEDFaoMsNTs1V/PDdoPGX7ikvw2ZH7AxBD8AAECZafrgp7xhaUrsAhOZH9Z/Rz7TqxyVk4KfB15+niZt+IXKV4lU9P4RmaElL4+Xvo7tDqvZoimNWjyPqjasb/LK+wXpMz/Z6emUbRh7o1UHBFASCH4AAEDK/FSpX0exCyw3Wz+omO36ktfysJofEdzUatGMImpUow6GSfBixE1GUjI/l2d+2PLZ/1Ysovrt29KTH73Lz3uMGGYS/GSlZVBgef3IpOfmfkIPvPwCRdbTHxtASSH4AQAAKfPT+qEHNDM/bBdY+0cfkV4ptiQl6oQEkfGpWKM6P7999bo05kY0WmSZH4FlflgG6KFXR1ODjnfz20R2iQVWLKASeo16jl5a8gV+UmATCH4AAICyVP1+LvxzhJ/L+/JUrKkPapgNn38lLXsJEYagJ8LwuNtXjSNuRBBlriN0cESEVFuk/75ZtO4T/ZR5IahCefykwCYQ/AAAAGUa6muEkzv28HOt5oJ/zF/CM0Pq4Cc4vAI9PmUSdXnyMX49ISZOui/PsHwWWqmi5qs95OP39DvKDEtrbB7Z8T+24ycD7h38TJs2jW7evEkJCQk0Y8YMvt5sTvXq1WnDhg2Unp5O586do0GDBpXqsQIAuJos1YwvUc+jJTXhjuJcCKwQRu0HPqI5OkNkfsIqmx9fwYamGjM/2dLXCLFnz1v5rwEoA+Mtxo0bR0OGDKEBAwaQt7c3rVixggdCs2bNMnmsp6cnD3wuXrxIrVq1ou7du/PHnzp1ik6ePOmQ4wcAcHaZqcrMjzqrI3fx8DF+nqwaXqze8p4lyyaJwulQC8EP+1DLsj/88VlZ0tcIGHEBbpX5GTt2LL333nu0b98+2rlzJ02cOJHGjBmj+dg+ffrwzM+wYcPo7Nmz9PXXX9PGjRupU6dOpX7cAACuQj3dXV3MLL/9xvmL/HJS/A2LYyjEVnVGZHFCK+uXva6dOm3y3Gx3l+ginZOVRXk5OSYzvgDcIvNTpUoVqlGjBu3evVu6be/evVSrVi2KjIyk+Ph4xeNZpmfbtm2UKvuPzDJGAABgnjxLwya0q2d+CbevXOOzwpikG7csvqRi/IW85kfUA6XeTjB5vLweiC17iR1igheCH3CXzA8LfpjY2Fjpths39J82qlUzboMU6tSpQ9euXeM1QtevX6ejR49Sv379zD6/j48PBQcHK04AAO6c+VHX+3z94qvS5ZuXr0iX71yPsVgbpFz2UgZT+bl5Jo8XWSEW9GgtcSHzA7biFMGPn58f1a1bV/MUZGh1ni37jyMu+xoK4+TY45955hkqX748Pfzww7R8+XJatWoVtWnTRvN7T5o0iVJSUqRTTEyM3f6dAADOKktW85OjWvKSBzyJscYdXCwD9MH9A+jXj2dZkflRBj+7v/vJbOaHLXlp8fLBsheUoeCnffv2dP78ec1Tu3btTAIdcTlD4xNHXl4e3xH20ksv0ZEjR+izzz6j9evX08iRIzW/N8sQhYSESKeoqCi7/TsBAJxVelKSdDknUxl8yHv9pN5JVNyXmZJC//y2UfM55UXT8sxPQUGBYnCpOviRfz85eYNEAJev+dm1a5fZrets2WvmzJm8vufKFf2nD3aZiYszfgIR2G3s04hYk2bOnDlDzZs313z+nJwcfgIAcGeiG7MWeTAkzxCp63nU2GBUQb5zi43SYPfNfeoFatKtCw+SHnr1JarXro3F4MfT2ynesqAMcIrMjyUsmGFBT5cuXaTb2GV2m7rYmTlw4AA1bdqUPDyM/7TGjRvT5cuXS+2YAQBcDQtGbl2+yi///evvivvkWRv5Upa8QJplc+S+HvWa2edgk96ZK8dO0Ka5Cyg1QVn8bH7ZC5kfsA2XCKPnz5/PGxuyAmZm+vTpih4/ERERlJmZyZsa/vjjj3xb/FdffcUzRr169aLevXvzpTUAADBv4YtjqX67thS9boPZDE66atlLnv0R3Zljz5yjM/sOmNwvPUeyfuCpkJGcorh+7cR/mt8Du73ArYIfFsRUqlSJ1qxZw2t6lixZQrNnz5buj46OpqVLl9LUqVP5Fvf777+fB0wnTpzgGaLBgwfz+h8AADAvMTaeDq5dr3nfn4uW8UGjFw8d1byf9eQRwU+exk4teeZHHezIO0Ezx7ZsM3uMbMcXmh2CWwQ/LJ36+uuv85OW2rVrK67/999/vN8PAADYBluesoTX6YSa38auqPlRzRHLUAU/man6CfPMzAFD6a5776E+/xslZX8Q/ECZr/kBAADnl5drDG7UnZlN6oZkwY26EzS/P814f/z5i7R98XLpOra7gy0g+AEAgBILCAmRLmtlfuQ1P/Lghkm+pewUrQ6O2O5d8ZyeKHoGG0DwAwAAJfbzlGnSZa1lKUXmJ03Zo60gL5++f3Oy5rKXOrOEzA/YAoIfAAAosTTZLjCtgmd5h2d15ofJyZR18ddoYCt6DfkG+OOnBSWG4AcAAEpMnq0pPPNj2isoSaNvm+L5DUXRbR/pQy998yWFVIwo4RGDO3OJ3V4AAODc5HU62lvdzdf8MNdPnaFf3p9Bd64bh1jLZaTot8d3Hz6En/d6aQSten+GTY4d3A+CHwAAsOlUeF2BcbyQwCa1C3ditbM8B35Za/75VdvhSXsiEoBVsOwFAAAlJh9imnA9xuT+K8dPUGrCHTqwah3FnT1f5OdXF0F7eHgqGh9G1Kxe5OcE94XgBwAASkwxTFo12oJJS0ikqff2pV+mTi/W86szP816diPfwAB++elZH9Kk9T9Tw07tyS84qFjPD+4FwQ8AANjEnKHP07djJ/L6ncICpKJSj8QICA2h/61YRB6entT03q78tpELP6eP9m+lni8ML/b3AfeA4AcAAGzi6vGTdGL7bru8msf+MJ33FVmvDlVpUNfkdjEKA8AcBD8AAOD04s5eoHWfzDG53TdAv/QFUBQIfgAAwCXs/u4neqfzA7Ts9bel20IrV3LoMYFrQvADAAAuIzMlhY7/sZ2unTrNr5evEqn5uHIeeHsD8/DbAQAALkcMSq0QVUXz/qDyYaV8ROBKEPwAAIDLycvJsZj5Ca1cUXHdx9+f7wwDYBD8AACAyxEjNKrUN93txYRWMgY//iHB9OG+P+h/3y8qteMD54bgBwAAXE6+IfOjzvAIIRWNt9dv35Y8vb2o+l2NS+34wLkh+AEAAJeTl2M6PFUupFKEZvEzlr6A/x7gZQAAAFcPfs5HH1ZcDwwLlS6XK2ecgipGYoB7Q/ADAAAuW/AsnNq5V3E9ULbby8fPT7qMpojAIPgBAACXLXgW/vplLWVnZGhmfvxCjMNO/YICS+kIwZkh+AEAAJfO/LCOzzmZmfTB/QPo5ynTTIIf/yBZ8BOoDH48vbxK5XjBuSD4AQAAl675yTFkfFj355j/9BPlA8OMy15+wcbgx1eW+YmsX5em7t5E/Sa+WkpHDc4CwQ8AALjsVncmOyNTupyelMzPA0JDpNv8g7WXvZ6dM53f1/WpwaVwxOBMEPwAAIBL1/xkpxtrfXKzsvm5t5+vZvATHF5Bf1tICEVUr1ZKRwvOBsEPAAC4nJzMLM3MT262PvhhvHz1AZBfcLB0W3j1KH5euU4t6baE6zF2P15wLgh+AADA5ZzcuYefZ6WlU+rtBM3gp0azJiYFzxE1qplkg7y8fUrlmMF5oMwdAABcTmJsPE3p/hB5+frwnV5CQV4+FeTn807OL3/7FS0cOVZR8Fyhqn4KvL9s+zt7DnAvCH4AAMAlpSbc0bydZX9EM8MXv55DGckp0n2iEJrV/AhePgh+3I3LLHtNmzaNbt68SQkJCTRjxgxFu3K1Ll260D///ENpaWl05MgR6tmzZ6keKwAAOE5etrL7s3znlxT8yLJB3sj8uB2XCH7GjRtHQ4YMoQEDBtDAgQNp6NCh/DYtFStWpN9//51++uknatasGf3888+0bt06iorSF7kBAEDZJq/7UWNZHh9/P/KXFUGzJTIMPHUvLhH8jB07lt577z3at28f7dy5kyZOnEhjxozRfGznzp0pLy+PPv30U7p06RLPGGVlZVGHDh1K/bgBAMDxoy+YxLh46Xb/kGBq2rOr4n4sfbkXpw9+qlSpQjVq1KDdu3dLt+3du5dq1apFkZGRJo9ny2IRERE8S8T069ePgoOD6d9//y3V4wYAAMfQyuJcO3laqv2pVLuWSY8fLH25Fy9XCH6Y2NhY6bYbN27w82rVqlF8fLzi8Xv27KEvvviCVq1aRQUFBeTl5UXPPPMMnT17VvP5fXx8yNfQC4JhgRIAALgurSzOgVXreG+fkIhwCq9WVbqdZYO8vL2x48vNOEXw4+fnZ7YmJ8jQnyFbtoYrLsuDFvnj69SpQ1OmTKH169fTo48+SnPnzqUDBw7QmTP6mS9ykyZN4o8FAICywcvH2+S2M/sOUGrCMB4AieAn+cYt8g0M0Ac/PqbvJ1B2OUXw0759e17Lo2XChAlSoKMOejIMw+zk3njjDb4T7IMPPuDX2W4v9vysbmj06NEmj2c1QZ999pki8xMTg26fAACuKkC2jZ31/Pnz66X8csrNW/w8omYNfp6TlUUeXp583heWvdyLUwQ/u3btMrt1nS17zZw5k9f3XLlyhd8man3i4uJMHt+mTRs6duyY4jYWADVt2lTz+XNycvgJAADKlvTEJPqo90Bp9lfSjZv8vFItQ/CTmSlliVDw7F6cvuCZBTgs6GG9ewR2md2mrvcRtUFNmuhbmguNGjXiO78AAKDs+3nKNN4AceGLYxVDT9kyF1PREPywIaiiJ5B8ECqUfU6R+SnM/PnzeWPD69ev8+vTp0+nWbNmSfez3V2ZmZmUnp5Oixcv5rvBXn31Vd7f55FHHqEHH3yQWrVq5cB/AQAAlJa/V//GT2o3L+lXDzy9vKTMj9gZJu/7A2Wf02d+GLbstXLlSlqzZg398ssv9N1339Hs2bOl+6Ojo2n8+PH88t9//82LnIcPH07Hjx+nYcOGUZ8+fejUqVMO/BcAAICjXYg+TJmpadJ1VvOTnpzMLweWD3XgkUFpc4nMD9uy/vrrr/OTltq1ayuusw7P7AQAACDk5+VR7NlzVLeNfiUgJzOLCtLS+eXAUH3wExRentISEvGilXEukfkBAACwBbH0xeRmZlFGUoqU+Rk0+U2aunMjNbqnI7+t+l2NaeiMqRQWWRkvfhnjEpkfAAAAW7h50Rj8ZLNa0aQkfjkgNJQ6PNaPX+495kUqyMujge+8QRE1qlG9dm1o6r198QMoQxD8AACA27h56bJ0OSs1jdIS9cFP+arGcUnVmjSkF7+eK11nXaGhbEHwAwAAbuPGRWPwc/XfU3QnVt8vrk6blha/jvWi0+l0dj8+KB2o+QEAALeRFHeD1/2k3E6gi4eO0o0Llyjl1m3y1hiXJOcn2wrPukL3GDGMoho3KIUjBntA8AMAAG6DZW/mDH2eZvYfQtmGEUli6csS+Vb4LkMG0UOvjqZxPy+z67GC/SD4AQAAt8JqfTKS9bu8rK3pCQoLky7XuKux3Y4NSgeCHwAAcGvH/9QerC3X9eknKLC8PgAq54G3TleHnyAAALi13z+dJxU+m9OiVw8aMGmc/oqZQdzgOhD8AACAW2MzvrYu+FZxW2ZKKj+/dOS4dFuDDndLO7/AtWGrOwAAuL28XP10d2Fytz7k5eNDPgH+NO6XZbwuiC17+YcES8NQwXUh8wMAAG4vLydXeg1+eX8GnwPGdoOl3k7g3Z3T7ujnfYVWqkjlPIyZHxYggetB8AMAAG4vL9uY+Tnwy1qT14MNQWW8/fyoXDnjW6dvgL/bv3auCMEPAAC4vbMHoulOTBz9t2e/2bogxsffj3z8/KTbffxdL/jx9NJXvDTq0oGenvWRtIvNnSD4AQAAt5eXnU3THhpEi0e/rvla5GTpMz8s8JE3PHznjzXU7L7uLvP61W7VnD468Cd1HfYEvTB/Nt/F1uulEeRuEPwAAAAQUUF+vtnXITcrm5+zAuiwyMqK+56ZPc1lXr/Hp77FR3n0e2OsdFtQhfLkbhD8AAAAFEIse7FAISA0xOR+V9n+rlWgnZWaRu4GwQ8AAEAhRMFzpVo1NO8ftXie07+GlWrXpApRVUxuz0pPJ3eD4AcAAKAQYtmLDTXVUq9dG6d/De8f9Vyh2/zdBYIfAACAQsh7+5jjzDu//ENCqHWfXpr3efu6X68iBD8AAACFCK1cSXH94qGjtHz8O4rb5LvAnE3THveYvc/b15fcDYIfAACAQpSvEqm4npmaRse2bFPcFhjmXP1y/IICeZ1PYUtb3n7uF/xgthcAAEAh9v+0mh4e/4p0nY2+UAuq4FzBz4Q13/Nt+buW/0jdnn5Scd+fXy8lD08P6jHiaWR+AAAAwNTuFSspPzfPYvATWN65+uWIfkTqwGdK94do07yFdPvqdWlkh7vBshcAAIAVDRD/3b5Lup6drg9+zh34R7ottFKE07+OO5f+QKkJd/jl3Oxst132QvADAABghYykZOlyToa+6eHScZPo5qUrJkXRXr6+9OTH7zls9IVvYIDm7RnJKdLlnExD8IOCZwAAANCSnpxskvlh3ZH3fP8zvxxaqSK1fKAntevfl9r0fYDaPtybj77w8PI0O1zUXgLDQgsNfnIN88pY40OtYyzLkPkBAACwgjxwkHdFTr5xk5+HV6tKwz79kAZ/8La0y4qp1qSR4nnYiIw3fvuRXvnua7u97uZ2nt2JjZMuXz1xiu9aY0Fbvbudv0mjLSH4AQAAsEJGkjH4SbmVIF2OO3+Rn1dtWF+6rUq9OtJlv8BA6bKPvx+9u3UtRVSvRrVaNrNbxsXcsNKEa/oiZyYzJZXO7P9bf+wN6pE7QfADAABQxMxPyq1b0uU712MpyZD9ESrXra0IeISHX39FMVzUXvU24dWrat6eGBuvuB537gI/b9y1Ez04ZiQFR4STO3C54GfLli00fPhwi4+pVasWbd26ldLS0ujkyZN0//33l9rxAQBA2ZSZmqqZ+WGS429qbjNXbyVv/dADisf52GmbeXj1aorrh9Zvpi1fLab8PON2febq8RPSbLL7X3yWHn17PLkDlwl+ypUrR3PnzqVevbRnk8itXbuW4uPjqW3btvTdd9/RmjVrqHr16qVynAAAUDbJuySn3UlU3JdjKB7W4iPbSs66LsvZa5t5ZVnN0frPvqAfJk2lP+YvMXncuQP/KP4tbCnOHbhEh+eqVavSihUrqE6dOpSYqPyFU7v33nupbt261KlTJ8rIyKDp06dTz5496bnnnqOpU6eW2jEDAEDZcv3kf3Tsj+2UcD2G9/3Rmvpe1IGn9mgwyJbVarVqwS9/9vhwivnvrNnH6nQ6vpwnaoQSrsWQO3CJ4Kd169Z07do1GjRoEP3zj7GhlJYOHTrQ4cOHeeAj7N27lzp27FgKRwoAAGUVCxSWv/625n2iYWBRAxx7LHtVrlOLfAP8KT0p2WLgI19ZEdKTksgduETws379en6yRpUqVSg2NlZx240bN6haNeX6p+Dj40O+soKz4ODgEh4tAAC4m5xMC8tesoJnNXsse4nvJ2/KaImHbMeZt6wYuyxziuDHz8+PoqKiNO+Li4tTZHEKExAQQNmqCJxdlwc4cpMmTaIpU6YU8YgBAADIpGFgUQMceyx7iWU2S3VIch6exuDHV7YtvyxzioLn9u3b0/nz5zVPRd2plZWVZRLosOvmAqhp06ZRSEiIdDIXhAEAAJhjueBZH+Bo9fQJCA1RXK/WpCEFhZdsQKoIqCzVIZkLfnwCzNcnlSVOkfnZtWuXYs2xJGJiYuiuu+5S3BYZGckzSFpycnL4CQAAoLi0Ao1LR45T7VbNpWBEq/D5qRlTqW7bVrTq/Rm8E/RrK7/lz/Xm3cWfCebjr08A5GTq548VxlM2asM3QHsmWFnjFJkfWzpw4AAvkGZLaUKXLl347QAAAPYOfv5ctIw+f3IEHdn4B78eEBJssbi546D+/LxJ1042qQMSwZa1y14x/52RLrNC6eIIqRihaN7o7MpE8BMREUGBhnVKlkViO8O+/fZbatKkCU2cOJHatWtHS5aY9jcAAACwBXmgwQqNr504RddOnebX67Vvw6e8B0dU4NfZPC2tpSdLW+KtUaVBXXpj3Y909yN9+PVcC0XYcisnf0xn/zpocRp8YQ0VJ2//nf63YhG5ijIR/ERHR9P48fqulAUFBdSvXz++6+vQoUP01FNP0YABA3hABAAAYO+C52xDjenV4yf5AFS2lDTsk6k07udl0mO/f3Oy4uvZcNGS1ts89u5Evs29dmt9j58cK2t+km/couXj35XGbRR13hibZM9ENW5ArsIpan6Konbt2oXeduHCBerevfjrpQAAAEWRnW7cVJOVlq5YDmODTZv26KbYFn94wx80dLqx8S6brVXSehtPby+rd6Cp5cg2BbHjYENPrVXOwzY1u6WpTGR+AAAAHOlObJxmIJSfaxyJIYhC5K0Lv5Vua/ngfcVacjI3eJV/nyIEP/l5eZRn2PxT5CBMtmHJUk8jZ4LgBwAAoITkYyHkw0PzNIMffVCy+Yuvae5TL/DLFWtWVxQby7efFzf4sbbmRx20FTUI8/L2li4HhCi37jsrBD8AAAAlJB8OKs/2yIehChkpxiAl/vxFabdUYFiYdLuXjzGgsJZ6xIa1NT9CdoY+I9Wgw93kb9ihZg15ryL/UNeYkoDgBwAAwAZWvvcx7f3hF7p46KjFZa+4sxcU2ZaUW7f55cr1jPWrnt5F3zbOipXlYs8UPtdLThRq93/zNXrlu6/JWoFhoS6X+XG5gmcAAABndHDN7ya35ecal8CE2NPKoOTm5av6Pjmy5SMvVfGyNeR9hFgN0vnow0X6+mxZrRLbNWYtv6Agsx2rnRUyPwAAAHYiiojlYs6cU1y/dfmqyWOK0zDQ21Bs/Pun82jOkyOoIC+/SF9fo1kTKg55jVCv0c+TK0DwAwAAYCdamZ/bV68rrl87+Z/JYzyLUfMjMj+3rl5T1CAVt2Day8xAcEvBT9UG9ah++7bk7BD8AAAA2ElerjLzE71uI+kKChS3HVq/xTaZH8NYjKL095FbPPp1xfVgKwesqrfGR9SoTs4OwQ8AAICdyAue485doJ/e+cDkMXnZ2bxYWk5e/1PUzE9OZtF2eckzUGLHFxMcrh/HURg/1dZ4D0/nDy2c/wgBAABclHyr+5n9f5t9HBuDYauan9zs4mV+mE8fHUrqAamFUfcF6vj4AJq04Rdq2qMrOSsEPwAAAHYib3LIZmhZMxVea1SFNbwNAZNWbyFr3YmJkwayevsWHoB5enmZBGpV6teliBrV6Nk5M8hZIfgBAACwk3xZIJKtyu7Ipdy8VeLMjyiSLknww+Rl6+uUvHwKL3j2KeE8MkdB8AMAAFAKmR95Hx21mNNnaeOcBSWakSXqhPI1ttcXJ/jxtpD5CalUkUYumE2tH+oldZf+5pUJJo8r6bBWe0HwAwAAUApb3bNkk9O1bFu8jI5u2cYvV6xZo8jfS2SLtOaJFWdMxv2jnjP7mH4T/kcNO3egR9963dip+vYdk8c5a9NDBD8AAAClsNXdUuZHuBMTy88fevUlGmAILKzhKdsdptVYsTjBT+U6tahKg7qajwmvHmUyGiPVMKZDDsEPAACAG2d+rAp+rsdJl7s8+ZjV283lg1DzNBorFoVOp5MuB5U30+unXDnFVfZvS03QyPzI5n45E2R+AAAA7EQMLbU2+EmMj1dcDyxvnPRuibxAuqQ1P55eXmaDHOlmMg1+8vPyFH2CGGR+AAAA3Ez8+YsmU9MtSb2VYLGHTmHLXizTJM/clDT48TF0jVbzDfBXXBdBD2vYKOesU96R+QEAACiF4CcrzfxWdyHltjL48QsMLNKyl3qcRnF4enlKl32DtL+/OqMj6oQKe5yzKHoXJQAAALB6WOjXo17jq0fWFCKnJyYprpsLPsxtcy9pjx918bS54MsvOEhxPaiCvjbIw9MYODEBYQh+AAAA3M6ZfQesfmxBfn4xMz+iu3OObYOfIGWQI5biFHVBRBRaqSI/L6ea6+WsmR8sewEAADiR32bOlS77qTI/gWGh1K5/X/KQLU3Jl73ku8uKy1M2WqPzkwNNAh1RxyMPtNKT9BkrDw/lcbFjrRBVhZwNgh8AAAAnsmv5j7Tvp9WaE9PH/7qCBn/wNt3d7yG7ZX7uXNf3GmLCKleins8/rZnNYUt6Xzz9Ip078A/99O5HZie6j1r8BTkbBD8AAABORswBk9fW1G3bikIqRvDLjTp30FyqKml3Z2bt9NmUcD2GhHueGkxy/iHB/DwjJZUuHTlOC154heLPXdCs+WHCq1VVZK7Kmdk+X5oQ/AAAADiZHMOUd29f/VZztnTUd9wY6f4azZqYKXgueeYnNeEOTesziG5fu86vl/PwUNQBieAnMyXV5Gu1gh+hasP69P6ezTR0xlRyNAQ/AAAATkb0y/E29Nl57eelioAnLLIy1WrZ3LTmxwa7vRjWK2h638GUfOMW+QcHUYMOd5MQYCH4kbt56YqiB1C34U/y81a97ydHQ/ADAADgZETfHJb5YUtfWs0Cq9Q3zt3yMmSIbLHVXdAVFNC1k6f45ZBK+uU2xt9wLBkpKWTJ929O5ueZqal8TId/sD5ocgYIfgAAAJxMrmzZq1It5YT3kzv28POQiuEmu8Iy09Jsehz5efmKZbXClr3kRMaHFU1P2bmB7urehZwFgh8AAABnzfz4+VJ49WrS7Zu/XETXT53ml4NlwY/IqmSl2jj4ydVnkjxk293lu73Uzuz/m59fOXbCZM6XnHoLf2lzueBny5YtNHz4cIuPad++Pe3bt49SU1Pp9OnTNGLEiFI7PgAAAFtlftgWdtHo8N9tu2jrgm8oxTA9PSRcFvyEBElLTLaUn6fvG+Ql6/1jqebn+zen0O+zvqBvxr5BOZnmg58uQx8nR3KZ4IdtjZs7dy716tXL4uMqV65MmzZtop07d1KrVq1o8uTJNG/ePOrTp0+pHSsAAEBJ5Bp2bbHMj7e/vp5HBBOsCFkUPaszP2z7uS3laWR+5FvdtcZz7Fz6PaUlJFoMfjoPfpQcySVme1WtWpVWrFhBderUocTERIuP7d+/P8XHx9Pbb7/Nr58/f57uvfdeGjJkCG3cuLGUjhgAAMA2NT8+/voJ6jmZWfw8wbAFPapxA54ZYtvbRUCSZePMT0EJan7Y17JjEw0YhasnTtFKQ1NER3GJ4Kd169Z07do1GjRoEP3zzz8WH7t582Y6evSoye2hoaF2PEIAAAD71Pz4+vvxyzlZIvgxNiActXgenY8+JDUSzExJs0vmx1MW/IidZ5mF7PZiWN2POvj58a33pW3wjuISwc/69ev5yRpXrlzhJ6FixYr0xBNP0JQpU+x4hAAAAPbJ/Hj7GYIfwzKSqMNhardqzk9Cpo0LngsMs8I8tZa9NAqe1VJu3eZdneXS7lhewXGb4MfPz4+ioqI074uLi6OMjIxiP+/q1av5MtjChQs1H+Pj40O+hv4ITLAT9SEAAAD3JDo1e/n6SMteuZn6gIj59eNZ9Ohbr5t8XertBNseR57I/HhJ9beWan7UsjXevwtbLnOb4IftzmIFyuZqeNatW1fk5wwMDORf16BBA+rSpQtlmim8mjRpErJCAADgxDU/yswPc/nIcc2vS751266ZH9+gQPLw8LA6iJEXZcu7RzuaU+z22rVrF48mtU7FCXxY9oZtiW/atCn16NGDFz2bM23aNAoJCZFO5jJQAAAAjujw7BsQYBL8sF1VagUFBZRm2AZvK3ki+DHU/AydNkUKzqyZI7bly8X8/PifO+nW5avStHpHc4rMjy2xgOnXX3/lO8O6detGZ86csfj4nJwcfgIAAHC2zA8TEBaiGHbKpCcnm3wNC3wK8vW7s2ylIM+Y+alQrSo16da5SF8fvXY9xV+4SDGnzihqlRytTAQ/ERERfFkrPT2dNzRkW9sfeeQRSkpK4n1/GBbgFLZNHgAAwBnIsyqBht3K8syPPDgSkm/esv1x5BprfoZ8rJ/VxZWz7uvZEtfV4yfJ2TjFsldJRUdH0/jx4/nlgQMHkqenJ23YsIEXOosTywYBAAC4ApbByTcsOQWFV+DnOapxEV88/SL9tWqtdD3lpm3rfRhxDKyrs3xX2Y9vf0CuzOUyP7Vr17Z4W+/evUv5iAAAAOxT98MyLv7BQZqZnUtHjhOrHe74WH+7FDszYqkqomZ1kju2ZRu5sjKR+QEAACirRc+CGGshl5Webrdt7vLBpuHVjJuBjv2xnVwdgh8AAAAnJK/ryUpL1+yZc/vKNenyLdllW8nXKFJe/eFMcnUut+wFAADgbkXPiXHxZh/z0YOPUv0Od9NxO2Rk8g2ZH2HX8h81t9m7GgQ/AAAATp75iV67wezj7sTE0d+rf7PLMehUDQkTY7WDMFeDZS8AAAAnlJ9vXHL6d5v2FAR7Cywfprguhqu6OgQ/AAAATiisciVFdscRcjKVwc7lo/9SWYBlLwAAACcUUjHC0YdAx/7YRjWb38WDr2sn/6MbFy5RWYDgBwAAADQV5OXT2umzqazBshcAAIATS08yneMFJYPgBwAAwAktfW0SJVyPoUUvjXP0oZQ5bDSZch+bmwsODqaUlBQKCQmh1NRURx8OAAAA2Pj9G5kfAAAAcCsIfgAAAMCtIPgBAAAAt4LgBwAAANwKgh8AAABwKwh+AAAAwK0g+AEAAAC3guAHAAAA3AqCHwAAAHArCH4AAADArSD4AQAAALeC4AcAAADcCoIfAAAAcCsIfgAAAMCteDn6AJxVcHCwow8BAAAA7PC+jeDHzIsXExNj9YsIAAAAzvM+npqaavEx5YhIV2pH5CKqVq1a6AtX3B8IC6qioqLs8vyA17k04fcZr3NZgt/nsvFas+eOjY0t9HHI/Giw5oUrCfbDRvBjf3idSwdeZ7zOZQl+n137tbb2+VDwDAAAAG4FwQ8AAAC4FQQ/pSg7O5umTJnCzwGvs6vD7zNe57IEv8/u9Vqj4BkAAADcCjI/AAAA4FYQ/AAAAIBbQfADAAAAbgXBj435+vrS4sWLKTExkfcLGjdunNnHtmzZkg4cOEDp6el08OBBat26ta0Pp8wqyuvcp08fOnLkCO//cOzYMXr44YdL9Vjd5XUWatasyV/rbt26lcoxutvr3LRpU9qzZw9lZGTQ8ePHqXv37qV6rO7yOvfv359OnTrFf5fZ692qVatSPdaywsfHh/7991+Lfw8c9V7IOjzjZKPXYO7cubqjR4/qWrVqpevfv78uOTlZN3DgQJPHBQQE6GJjY3UzZ87UNWrUSPf555/r4uLi+O34edjudW7WrJkuKytL98orr+jq1q2rGz16tC47O1vXvHlzvM42fJ3lp40bN+qYbt264TW28d+NkJAQ/ndi4cKF/Pd5ypQpusTERF3FihXxWtvwdW7SpIkuIyNDN2zYMF2dOnV08+bN43+v/f398TqT9e+Hvr6+utWrV1v8e+DA90IEPrZ6DdgPi/2Hkf+Q3377bd2OHTtMHvvss8/qLly4oLjt7NmzuuHDh+M/lw1f52nTpvE3Y/ltmzdv1n344Yd4nW34OovTkCFDdHv27EHwY6e/GyyIP3funM7Dw0O67eDBg7revXvj99mGr/Orr76qi46Olq4HBQXx3+k2bdrgdbby97px48a6I0eO8GDTUvDjqPdCLHvZUIsWLcjb25v2798v3bZ3715q3749lSvHugoYdejQgd8nt2/fPurYsaMtD4nc/XVetmwZvfnmmybPERoaWirH6i6vM1OhQgX65JNP6MUXXyzlI3Wf15ktca1bt44KCgqk29q1a0ebNm0q1WMu669zQkIC3XXXXdSpUyd+37PPPkvJycl04cIFBxy5a+rWrRvt2LGj0Pc0R70XIvixoSpVqtDt27cpNzdXuu3GjRvk7+9P4eHhJo9VzxBjj61WrZotD4nc/XU+ffo0r4sQmjRpQj179qRt27aV6jGX9deZ+eyzz3iwyeokwD6vc506dejWrVu0cOFCiouLo7/++ou/QYNtX+eVK1fShg0b+JtwTk4Offrpp/TYY49RUlISXmorLViwgNdUZWZmWnyco94LEfzYUEBAgEnHSnGdFdpZ81j146Bkr7Mc+wO3evVq/geNfXoG2/0+s4CyS5cu9MEHH+BltePrHBQUxDOZLPDp3bs37dq1i/744w98aLLx68z+VkRGRtLLL7/MM0PLly+nb7/9lipWrIjfbxtz1Hshgh8bysrKMvmBietsZ4Y1j1U/Dkr2OguVKlWi7du3k4eHB/8Ep9OxZV+wxe+zn58fz0SMHj2afw3Y7/c5Ly+P71xkowGOHj3KA6GzZ8/SsGHD8LLb8HWeMWMG36H01Vdf0eHDh2nkyJF8JxJb/gLbctR7IYIfG4qJiaGIiAjy9PSUbmOfHtgPUZ0uZY9l98mx6+wTHdjudWaqVq1Ku3fv5v+hWM0ES32D7X6fWc1J3bp1eVaNbQtmJ4bVocyfPx8vtQ1/n9nfB7aUK8eCn+rVq+N1tuHr3KZNG94WQ2Aflth11sYBbMtR74UIfmyIfRJj68msgEtgSwHR0dEmmQbW00C9Vt+5c2d+O9judWYp1c2bN/MCUVaAh+DS9r/PrC9HvXr1eK8OcWKef/55eu+99/DrbMPfZ/b3gRXuyjVq1IguX76M19mGrzOrQWH1gXINGzakS5cu4XW2MUe+F2Lrng1fg/nz5+v+/fdfXdu2bXX9+vXTJSUl6QYMGMDvq1y5ss7Pz49fDg4O1t24cYP3NGBbAtk563WAPj+2fZ3Zlvb09HTd3XffzW8XJ9YvBb/7tnud1Sf0+bHP340aNWroUlNTdZMnT+Z9fqZOnapLSUnRVa1aFb/PNnydH3/8cb4t/qmnnuKvM2uZgX5KVOzfMfXfAyd5L0TwY8vXgDXBWrp0Kf8Ddf36dd3YsWMVvwDy3gXsDfnQoUP8P9mBAwd0LVu2xB8wG7/O//33n07Lt99+i9faxr/PCH5K5+9Gp06ddP/8848uMzNTd/jwYd0999yD32U7vM7PPfec7tSpUzy43L17N2+MiPdLsknw4wzvheVEBAQAAADgDlDzAwAAAG4FwQ8AAAC4FQQ/AAAA4FYQ/AAAAIBbQfADAAAAbgXBDwAAALgVBD8AAADgVhD8AIDLYRO22UgCSyfMYQIAc9DkEABcTkhICPn7+/PLgwcPpvHjx9Pdd9/Nr7PBlezEBiaymW4AAGpeJrcAADi5lJQUfmKSk5MpPz+fbty44ejDAgAXgWUvAChT2HKXfNmLXX7sscfo1KlTlJ6eTj/88APVqlWLtm3bxq/v3r2bqlatKn19//796eTJk/y+v//+m7p27erAfw0A2AuGteE1wO8Afgdc9neADUi8dOmSdL1mzZp8cCI7F0MU2YDKdu3a6bp3767Lzs7mU6Mfe+wxXYsWLXTnzp3jk6TZY5s3b65LTk7WPfnkk3ya9yuvvKJLT0/nlx3978QJrwF+B8hmrwGWvQCgzJs9ezYdPHiQXz5y5AidOXOGVq1axa+vXr2aWrZsyS+z2qFFixbRjz/+yK/PmzePunXrRi+99BK/DwDKBix7AUCZd/HiRelyZmYmXb58WXHd19eXX27cuDGNGTOGUlNTpdPDDz9MDRo0cMhxA4B9IPMDAGVeXl6e4rq5XWBeXl40Y8YMWr58ueJ2FiABQNmBzA8AgAFbDqtduzZduHBBOo0cOZJ69+6N1wigDEHmBwBAVhu0Z88eio6Opg0bNvAlr3HjxlGPHj3wGgGUIcj8AAAYsK3tw4YNo9GjR/Ot8Szr8+STT/KACADKDnR4BgAAALeCzA8AAAC4FQQ/AAAA4FYQ/AAAAIBbQfADAAAAbgXBDwAAALgVBD8AAADgVhD8AAAAgFtB8AMAAABuBcEPAAAAuBUEPwAAAOBWEPwAAACAW0HwAwAAAORO/g+ufeRPgZZqJgAAAABJRU5ErkJggg=="
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 190
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-18T17:40:53.378257100Z",
     "start_time": "2026-03-18T17:40:53.286027400Z"
    }
   },
   "cell_type": "code",
   "source": [
    "for _ in range(10):\n",
    "    plt.plot(time, gen_brownian_motion(1,N))\n",
    "plt.xlabel(\"Time\")\n",
    "plt.ylabel(\"$W_t$\")\n",
    "plt.title(\"Brownian Motion\")\n",
    "plt.show()"
   ],
   "id": "d068adea398fa461",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 191
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "B) $|W_t|$",
   "id": "b43184c37465ca90"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-18T17:42:38.127973800Z",
     "start_time": "2026-03-18T17:42:38.114686200Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def abs_M_M(T,N):\n",
    "    return np.abs(gen_brownian_motion(T,N))"
   ],
   "id": "847590d5e330bd5",
   "outputs": [],
   "execution_count": 193
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-18T17:42:38.551800400Z",
     "start_time": "2026-03-18T17:42:38.462317100Z"
    }
   },
   "cell_type": "code",
   "source": [
    "for _ in range(10):\n",
    "    plt.plot(time, abs_M_M(1,N))\n",
    "plt.xlabel(\"Time\")\n",
    "plt.ylabel(\"$|W_t|$\")\n",
    "plt.title(\"ABS of Brownian Motion\")\n",
    "plt.show()"
   ],
   "id": "31de9201fe22e7db",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 194
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "B2) $ W_T - W_t$",
   "id": "414534045f18181a"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-18T17:46:40.773534Z",
     "start_time": "2026-03-18T17:46:40.759765700Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def BrownianBridge(T,N):\n",
    "    X = gen_brownian_motion(T,N)\n",
    "    X = X[-1] - X\n",
    "    return X"
   ],
   "id": "ec0d55dffa411240",
   "outputs": [],
   "execution_count": 195
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-18T17:46:41.250429900Z",
     "start_time": "2026-03-18T17:46:41.163434500Z"
    }
   },
   "cell_type": "code",
   "source": [
    "for _ in range(10):\n",
    "    plt.plot(time, BrownianBridge(1,1000))\n",
    "plt.xlabel(\"Time\")\n",
    "plt.ylabel(\"$ W_T - W_t$\")\n",
    "plt.title(\"Brownian Bridge\")\n",
    "plt.show()"
   ],
   "id": "24f9f5253d9d72",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 196
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "C) $ W^2_T - W^2_t$",
   "id": "568df0c60bfc4866"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-18T17:47:56.246785300Z",
     "start_time": "2026-03-18T17:47:56.233180Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def functionC(T,N):\n",
    "    X = np.power(gen_brownian_motion(T,N),2)\n",
    "    X = X[-1] - X\n",
    "    return X"
   ],
   "id": "2400d675f54b4b99",
   "outputs": [],
   "execution_count": 197
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-18T17:47:56.607192300Z",
     "start_time": "2026-03-18T17:47:56.523937800Z"
    }
   },
   "cell_type": "code",
   "source": [
    "for _ in range(10):\n",
    "    plt.plot(time, functionC(1,1000))\n",
    "plt.xlabel(\"Time\")\n",
    "plt.ylabel(\"$ W^2_T - W^2_t$\")\n",
    "plt.title(\"$ W^2_T - W^2_t$\")\n",
    "plt.show()"
   ],
   "id": "b2f345ca5452e229",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 198
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "## Exercise 7",
   "id": "716e61c5f6536f79"
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "$\\mathbb{P}(W_t<x\\  \\forall_{t\\in[0,T]})$",
   "id": "5201114c2ef38964"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-18T16:18:12.826148Z",
     "start_time": "2026-03-18T16:18:12.233385200Z"
    }
   },
   "cell_type": "code",
   "source": "import scipy.stats as stats",
   "id": "b812d59241cb71b3",
   "outputs": [],
   "execution_count": 26
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-18T16:23:53.475827400Z",
     "start_time": "2026-03-18T16:23:53.460129400Z"
    }
   },
   "cell_type": "code",
   "source": [
    "M = 10000# number of simulations\n",
    "N = 10000\n",
    "x = 1\n",
    "T = 1"
   ],
   "id": "763caac8c9cd74bd",
   "outputs": [],
   "execution_count": 43
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-18T17:58:07.409759Z",
     "start_time": "2026-03-18T17:58:07.393916Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def simulationBoundingW(T, N, M, x):\n",
    "    \"\"\"\n",
    "\n",
    "    :param T: interval size\n",
    "    :param N: number of steps in trajectories\n",
    "    :param M: number os simulations\n",
    "    :param x: bounding\n",
    "    :return: aproximation of probability\n",
    "    \"\"\"\n",
    "    counter = 0\n",
    "\n",
    "    for _ in range(M):\n",
    "        X = gen_brownian_motion(T, N)\n",
    "        if X.max() < x:\n",
    "            counter+=1\n",
    "    return counter/M\n"
   ],
   "id": "629f4ac73a3575d2",
   "outputs": [],
   "execution_count": 200
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-18T17:58:07.985440300Z",
     "start_time": "2026-03-18T17:58:07.945985300Z"
    }
   },
   "cell_type": "code",
   "source": [
    "aproximation_probability = simulationBoundingW(T, N, M, x)\n",
    "theory_probability = 1 - 2*(1-stats.norm.cdf(x/np.sqrt(T)))\n",
    "\n",
    "print(f\"Approxiamtion {aproximation_probability},\\n Theoretical: {theory_probability}\\n Error: {theory_probability-aproximation_probability}\")"
   ],
   "id": "964e20fcd7a624ab",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Approxiamtion 0.674,\n",
      " Theoretical: 0.6826894921370859\n",
      " Error: 0.008689492137085808\n"
     ]
    }
   ],
   "execution_count": 201
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-18T17:58:46.545249Z",
     "start_time": "2026-03-18T17:58:24.287620700Z"
    }
   },
   "cell_type": "code",
   "source": [
    "M_ =  [10,100,1000,10000,100000,1000000]\n",
    "errors = []\n",
    "for M in M_:\n",
    "    aproximation_probability = simulationBoundingW(T, N, M, x)\n",
    "    theory_probability = 1 - 2*(1-stats.norm.cdf(x/np.sqrt(T)))\n",
    "    errors.append(np.abs(theory_probability - aproximation_probability))\n",
    "\n",
    "plt.plot(np.log(M_), np.log(errors))\n",
    "plt.plot(np.log(M_), -1/2*np.log(M_) )"
   ],
   "id": "ddd014b1cf538310",
   "outputs": [],
   "execution_count": 202
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-18T17:59:27.282033Z",
     "start_time": "2026-03-18T17:59:27.211362500Z"
    }
   },
   "cell_type": "code",
   "source": [
    "plt.plot(np.log(M_), np.log(errors))\n",
    "plt.plot(np.log(M_), -1/2*np.log(M_) )\n"
   ],
   "id": "a3d567c225dc268e",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2c4aaa61940>]"
      ]
     },
     "execution_count": 203,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 203
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "## Exercise 4.e\n",
    "$\\mathbb{P}(\\exists_{r\\in[s,t]} W_r=0 \\  ) = 1 - \\frac{2}{\\pi}arctg(\\sqrt{\\frac{s}{t-s}})$"
   ],
   "id": "40c7a9ab051bc414"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-18T16:44:36.669267900Z",
     "start_time": "2026-03-18T16:44:36.651568700Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def simulationZeros(T, N, M, s, t):\n",
    "    \"\"\"\n",
    "\n",
    "    :param T: interval size\n",
    "    :param N: number of steps in trajectories\n",
    "    :param M: number os simulations\n",
    "    :param s: lower bounding\n",
    "    :param t: upper bounding\n",
    "    :return: aproximation of probability\n",
    "    \"\"\"\n",
    "    counter = 0\n",
    "    for _ in range(M):\n",
    "        X = gen_brownian_motion(T, N)\n",
    "        lower = int(N * s/T)\n",
    "        upper = int(N * t/T)\n",
    "        if X[lower:upper].max() *  X[lower:upper].min() < 0:\n",
    "            counter+=1\n",
    "    return counter/M"
   ],
   "id": "a0ba1a920bd06791",
   "outputs": [],
   "execution_count": 63
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-18T18:12:39.673615600Z",
     "start_time": "2026-03-18T18:12:39.642690Z"
    }
   },
   "cell_type": "code",
   "source": [
    "s = 2\n",
    "t = 3\n",
    "T = 4\n",
    "M = 1000\n",
    "aproximation_probability = simulationZeros(T, N, M, s, t)\n",
    "theory_probability = 1 - 2/np.pi*np.arctan(np.sqrt(s/(t-s)))\n",
    "\n",
    "print(f\"Approxiamtion {aproximation_probability},\\n Theoretical: {theory_probability}\\n Error: {theory_probability-aproximation_probability}\")"
   ],
   "id": "95c6c513259129fd",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Approxiamtion 0.401,\n",
      " Theoretical: 0.39182655203060723\n",
      " Error: -0.00917344796939279\n"
     ]
    }
   ],
   "execution_count": 208
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-18T18:14:15.501339100Z",
     "start_time": "2026-03-18T18:13:52.189751400Z"
    }
   },
   "cell_type": "code",
   "source": [
    "M_ =  [10,100,1000,10000,100000,1000000]\n",
    "errors = []\n",
    "s = 2\n",
    "t = 3\n",
    "T = 4\n",
    "M = 1000\n",
    "errors = []\n",
    "for M in M_:\n",
    "    aproximation_probability = simulationZeros(T, N, M, s, t)\n",
    "    theory_probability = 1 - 2/np.pi*np.arctan(np.sqrt(s/(t-s)))\n",
    "    errors.append(np.abs(theory_probability - aproximation_probability))\n",
    "\n",
    "plt.plot(np.log(M_), np.log(errors))\n",
    "plt.plot(np.log(M_), -1/2*np.log(M_) )"
   ],
   "id": "3010b088c29635b9",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2c4a8ea7a10>]"
      ]
     },
     "execution_count": 209,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 209
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "## Exercise 4.c\n",
    "$\\mathbb{P}(W_1>0\\ and\\ W_2>0 ) = \\frac{3}{8}$"
   ],
   "id": "4a0d8e76cbc8d0f6"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-18T18:42:16.789933300Z",
     "start_time": "2026-03-18T18:42:16.779056400Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def simulationW1W2(N, M):\n",
    "    \"\"\"\n",
    "    :param N: number of steps in trajectories\n",
    "    :param M: number os simulations\n",
    "    :return: aproximation of probability\n",
    "    \"\"\"\n",
    "    counter = 0\n",
    "    for _ in range(M):\n",
    "        X = gen_brownian_motion(2, N)\n",
    "\n",
    "        if X[-1]>0 and X[int(N/2)]>0:\n",
    "            counter+=1\n",
    "    return counter/M"
   ],
   "id": "42d8c5d269177fed",
   "outputs": [],
   "execution_count": 255
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-18T18:42:19.620976900Z",
     "start_time": "2026-03-18T18:42:19.550259400Z"
    }
   },
   "cell_type": "code",
   "source": [
    "M = 10000\n",
    "aproximation_probability = simulationW1W2(N, M)\n",
    "theory_probability = 3/8\n",
    "\n",
    "print(f\"Approxiamtion {aproximation_probability},\\n Theoretical: {theory_probability}\\n Error: {theory_probability-aproximation_probability}\")"
   ],
   "id": "6886242d9f83e42",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Approxiamtion 0.3698,\n",
      " Theoretical: 0.375\n",
      " Error: 0.005199999999999982\n"
     ]
    }
   ],
   "execution_count": 257
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "## Exercise 8",
   "id": "663e25a1121549ac"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-18T18:31:17.458796600Z",
     "start_time": "2026-03-18T18:31:17.435272Z"
    }
   },
   "cell_type": "code",
   "source": [
    "N = 10\n",
    "T = 4\n",
    "time = np.linspace(0,T,N+1)\n",
    "time"
   ],
   "id": "5e39f2d63276f7ef",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0. , 0.4, 0.8, 1.2, 1.6, 2. , 2.4, 2.8, 3.2, 3.6, 4. ])"
      ]
     },
     "execution_count": 231,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 231
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-18T18:31:17.862239300Z",
     "start_time": "2026-03-18T18:31:17.835576500Z"
    }
   },
   "cell_type": "code",
   "source": [
    "X = gen_brownian_motion(T, N)\n",
    "X"
   ],
   "id": "805725f9a589d57f",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.        ,  1.02736405,  0.65116342,  1.21665229,  1.3375224 ,\n",
       "        0.22224484,  0.45033596, -0.20697338, -0.12246695, -1.16130773,\n",
       "       -2.10584103])"
      ]
     },
     "execution_count": 232,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 232
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-18T18:31:20.065259Z",
     "start_time": "2026-03-18T18:31:20.022015300Z"
    }
   },
   "cell_type": "code",
   "source": "X>1",
   "id": "b797d9d7b8e9e7f",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([False,  True, False,  True,  True, False, False, False, False,\n",
       "       False, False])"
      ]
     },
     "execution_count": 233,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 233
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-18T18:21:58.463825700Z",
     "start_time": "2026-03-18T18:21:58.435319400Z"
    }
   },
   "cell_type": "code",
   "source": "time[(X > 1).argmax()]",
   "id": "9728c0165d35c63",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(0.0)"
      ]
     },
     "execution_count": 224,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 224
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-18T18:22:45.711741900Z",
     "start_time": "2026-03-18T18:22:45.692668600Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def simulationOfCDF(T, N, M, t=1):\n",
    "    \"\"\"\n",
    "\n",
    "    :param T: interval size\n",
    "    :param N: number of steps in trajectories\n",
    "    :param M: number os simulations\n",
    "    :param t: W_t>t\n",
    "    :return:\n",
    "    \"\"\"\n",
    "    time = np.linspace(0,T,N+1)\n",
    "    times = np.zeros(M)\n",
    "    for i in range(M):\n",
    "        X = gen_brownian_motion(T, N)\n",
    "        times[i] = time[(X > t).argmax()]\n",
    "\n",
    "    times.sort()\n",
    "    times = times[times>0]\n",
    "    probability = np.zeros(time.shape)\n",
    "    for i, el in enumerate(time):\n",
    "        probability[i] = float(np.sum(times<el)/M)\n",
    "    return probability, time, times"
   ],
   "id": "fd428b29c2bdd6b3",
   "outputs": [],
   "execution_count": 225
  },
  {
   "metadata": {},
   "cell_type": "code",
   "outputs": [],
   "execution_count": null,
   "source": "probability, time, _ = simulationOfCDF(4,20000,50000)",
   "id": "599913dd20be7e18"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-18T18:35:59.670049800Z",
     "start_time": "2026-03-18T18:35:59.602734300Z"
    }
   },
   "cell_type": "code",
   "source": [
    "plt.plot(time[1:], probability[1:])\n",
    "plt.plot(time[1:], 2*(1-stats.norm.cdf(1/np.sqrt(time[1:]))))\n",
    "plt.show()"
   ],
   "id": "d07433c9737af490",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 245
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-18T18:36:14.760067800Z",
     "start_time": "2026-03-18T18:36:14.692051Z"
    }
   },
   "cell_type": "code",
   "source": [
    "plt.plot(time[1:], probability[1:] -  2*(1-stats.norm.cdf(1/np.sqrt(time[1:]))))\n",
    "plt.show()"
   ],
   "id": "1328a2b71118ae3f",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 248
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "# Coding Exercise 2",
   "id": "7e9ba22d2842d820"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-06T15:29:56.623827100Z",
     "start_time": "2026-05-06T15:29:56.609158300Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def eulerMaruyama(x_0, a, b, T, N, known=None):\n",
    "    h = T/N\n",
    "    trajectory = [x_0]\n",
    "    sol = [x_0]\n",
    "    W = [0]\n",
    "    for i in range(N):\n",
    "        t = (i+1)*T/N\n",
    "        w = np.sqrt(h) *np.random.randn()\n",
    "        W.append(W[-1]+w)\n",
    "        new_x =trajectory[-1]+ a(t, trajectory[-1]) * h + b(t,trajectory[-1]) * w\n",
    "        trajectory.append(new_x)\n",
    "        if known:\n",
    "            sol.append(known(t,W[-1]))\n",
    "    if known:\n",
    "        return trajectory, sol\n",
    "    return trajectory\n"
   ],
   "id": "5514a26d8ff6785b",
   "outputs": [],
   "execution_count": 39
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-04-01T17:33:41.278838300Z",
     "start_time": "2026-04-01T17:33:41.262060300Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def milstein(x_0, a, b, b_prim, T, N, known=None):\n",
    "    h = T/N\n",
    "    trajectory = [x_0]\n",
    "    sol = [x_0]\n",
    "    W = [0]\n",
    "    for i in range(N):\n",
    "        t = (i+1)*T/N\n",
    "        w = np.sqrt(h) *np.random.randn()\n",
    "        W.append(W[-1]+w)\n",
    "        new_x =trajectory[-1]+ a(t, trajectory[-1]) * h + b(t,trajectory[-1]) *( w + b_prim(t,trajectory[-1])/2 * (w**2 -h))\n",
    "        trajectory.append(new_x)\n",
    "        if known:\n",
    "            sol.append(known(t,W[-1]))\n",
    "    if known:\n",
    "        return trajectory, sol\n",
    "    return trajectory"
   ],
   "id": "f94410a78970ab19",
   "outputs": [],
   "execution_count": 221
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "## Ornstein-Uhlenbeck",
   "id": "b6f41a28102e6133"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-04-01T17:33:42.625016400Z",
     "start_time": "2026-04-01T17:33:42.603892500Z"
    }
   },
   "cell_type": "code",
   "source": [
    "THETA = 2\n",
    "SIGMA = 3"
   ],
   "id": "821563cf2966fb65",
   "outputs": [],
   "execution_count": 222
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-04-01T17:33:42.921207900Z",
     "start_time": "2026-04-01T17:33:42.905360400Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def a_O(t, x):\n",
    "    return - THETA * x\n",
    "\n",
    "def b_O(t,x):\n",
    "    return SIGMA\n",
    "\n",
    "def b_O_prim(t,x):\n",
    "    return 0\n"
   ],
   "id": "a9e67937d0cd582c",
   "outputs": [],
   "execution_count": 223
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-04-01T17:37:02.796862100Z",
     "start_time": "2026-04-01T17:37:02.784867800Z"
    }
   },
   "cell_type": "code",
   "source": [
    "N = 100\n",
    "T = 20\n",
    "x_0 = 10\n",
    "time = np.linspace(0,T,N+1)"
   ],
   "id": "4d0d76cfe5033528",
   "outputs": [],
   "execution_count": 239
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-04-01T17:37:03.365029400Z",
     "start_time": "2026-04-01T17:37:03.292183800Z"
    }
   },
   "cell_type": "code",
   "source": [
    "for i in range(1):\n",
    "    plt.plot(time, eulerMaruyama(x_0,\n",
    "                                 a_O,b_O,T,N))"
   ],
   "id": "3ec6bb53df4998b0",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 240
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "## Black-Scholes",
   "id": "5587fd4e1fa55761"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-04-01T17:33:44.111184100Z",
     "start_time": "2026-04-01T17:33:44.105347500Z"
    }
   },
   "cell_type": "code",
   "source": "## Black-Scholes",
   "id": "462a255560368d81",
   "outputs": [],
   "execution_count": 226
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-04-01T17:37:06.986264600Z",
     "start_time": "2026-04-01T17:37:06.967611600Z"
    }
   },
   "cell_type": "code",
   "source": [
    "MI = 2\n",
    "SIGMA = 2\n",
    "\n",
    "def a_BS(t, x, mi = MI):\n",
    "    return mi * x\n",
    "\n",
    "def b_BS(t,x):\n",
    "    return SIGMA * x\n",
    "\n",
    "def b_BS_prim(t,x):\n",
    "    return SIGMA\n",
    "\n",
    "def BS_sol(t,W):\n",
    "    return np.exp((MI-SIGMA**2/2)*t + SIGMA *W)\n"
   ],
   "id": "ac95346310689922",
   "outputs": [],
   "execution_count": 241
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-04-01T17:37:20.333674500Z",
     "start_time": "2026-04-01T17:37:20.327887Z"
    }
   },
   "cell_type": "code",
   "source": [
    "N = 10000\n",
    "T = 2\n",
    "x_0 = 1\n",
    "time = np.linspace(0,T,N+1)"
   ],
   "id": "9e42b378b8fa25f0",
   "outputs": [],
   "execution_count": 244
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-04-01T17:37:20.971103700Z",
     "start_time": "2026-04-01T17:37:20.782181900Z"
    }
   },
   "cell_type": "code",
   "source": [
    "for i in range(1):\n",
    "    np.random.seed(1)\n",
    "    approx, sol = eulerMaruyama(x_0,\n",
    "                                 a_BS,b_BS,T,N,known=BS_sol)\n",
    "    plt.plot(time, approx, label = \"EM\")\n",
    "    plt.plot(time, sol, label=\"SOL\")\n",
    "    np.random.seed(1)\n",
    "    approx, sol = milstein(x_0,\n",
    "                                 a_BS,b_BS,b_BS_prim,\n",
    "                           T,N,known=BS_sol)\n",
    "    plt.plot(time, approx,label=\"Milstein\")\n",
    "\n",
    "\n",
    "plt.legend()\n",
    "\n"
   ],
   "id": "6cd7d32d976f0322",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x140456fef90>"
      ]
     },
     "execution_count": 245,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 245
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "# Coding Exercise 3",
   "id": "7dcdb8077fb00f91"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-06T16:36:52.349187600Z",
     "start_time": "2026-05-06T16:36:52.298414Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import scipy.integrate as integrate\n",
    "import matplotlib.pyplot as plt"
   ],
   "id": "ce1e0f59767cad8c",
   "outputs": [],
   "execution_count": 190
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-06T16:36:52.539100200Z",
     "start_time": "2026-05-06T16:36:52.492587300Z"
    }
   },
   "cell_type": "code",
   "source": [
    "p_0_t = pd.read_csv(\"P_0_t.txt\", sep=\";\", index_col=0)\n",
    "p_0_t"
   ],
   "id": "2f319abff8652585",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "        R_0_t_spot_pct     P_0_t\n",
       "t_lata                          \n",
       "0.00          1.000000  1.000000\n",
       "0.25          2.170386  0.994589\n",
       "0.50          2.100000  0.989555\n",
       "1.00          2.080000  0.979415\n",
       "2.00          2.250000  0.955997\n",
       "3.00          2.470000  0.928579\n",
       "5.00          2.756454  0.871253\n",
       "7.00          3.000000  0.810584\n",
       "10.00         3.200000  0.726149\n",
       "20.00         3.350000  0.511709\n",
       "30.00         3.400000  0.360595"
      ],
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>R_0_t_spot_pct</th>\n",
       "      <th>P_0_t</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>t_lata</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0.00</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.25</th>\n",
       "      <td>2.170386</td>\n",
       "      <td>0.994589</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.50</th>\n",
       "      <td>2.100000</td>\n",
       "      <td>0.989555</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1.00</th>\n",
       "      <td>2.080000</td>\n",
       "      <td>0.979415</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2.00</th>\n",
       "      <td>2.250000</td>\n",
       "      <td>0.955997</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3.00</th>\n",
       "      <td>2.470000</td>\n",
       "      <td>0.928579</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5.00</th>\n",
       "      <td>2.756454</td>\n",
       "      <td>0.871253</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7.00</th>\n",
       "      <td>3.000000</td>\n",
       "      <td>0.810584</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10.00</th>\n",
       "      <td>3.200000</td>\n",
       "      <td>0.726149</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20.00</th>\n",
       "      <td>3.350000</td>\n",
       "      <td>0.511709</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30.00</th>\n",
       "      <td>3.400000</td>\n",
       "      <td>0.360595</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ]
     },
     "execution_count": 191,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 191
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-06T16:36:52.959424900Z",
     "start_time": "2026-05-06T16:36:52.946509Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def p0T(t, data = p_0_t):\n",
    "    \"\"\"\n",
    "    We interpolate data from dataset.\n",
    "    :param t:\n",
    "    :param data:\n",
    "    :return:\n",
    "    \"\"\"\n",
    "    return np.interp(t, data.index, data.P_0_t)\n"
   ],
   "id": "8ab50166e1c93941",
   "outputs": [],
   "execution_count": 192
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-06T16:47:18.223785600Z",
     "start_time": "2026-05-06T16:47:18.138712900Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# Check if it works\n",
    "T = np.linspace(0.0,30,100)\n",
    "P0T = p0T(T)\n",
    "plt.figure(figsize=(20,5))\n",
    "plt.plot(T,P0T)\n",
    "p_0_t[\"P_0_t\"].plot(figsize=(20,5))\n",
    "plt.show()\n"
   ],
   "id": "37bc537b0f9dd044",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 2000x500 with 1 Axes>"
      ],
      "image/png": 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     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 232
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-06T16:48:55.041583400Z",
     "start_time": "2026-05-06T16:48:55.030911500Z"
    }
   },
   "cell_type": "code",
   "source": [
    "a = 0.04\n",
    "\n",
    "# def sigma(t):\n",
    "#     if t < 1: return 0.012\n",
    "#     if t < 3: return 0.018\n",
    "#     if t < 5: return 0.014\n",
    "#     return 0.01\n",
    "\n",
    "def sigma(t):\n",
    "    if t < 2/12: return 0.1\n",
    "    if t < 1: return 0.2\n",
    "    #if t < 5: return 0.014\n",
    "    return 0.3\n",
    "\n",
    "sigma = np.vectorize(sigma)\n"
   ],
   "id": "4067a00b9fa0b93e",
   "outputs": [],
   "execution_count": 234
  },
  {
   "metadata": {},
   "cell_type": "code",
   "outputs": [],
   "execution_count": null,
   "source": [
    "# This we need to simulate X by euler Maryuama\n",
    "def a_(t,x):\n",
    "    return -a * x\n",
    "\n",
    "def sigma_(t,x):\n",
    "    return sigma(x)"
   ],
   "id": "82dc80619c0049d2"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-06T16:48:55.678675Z",
     "start_time": "2026-05-06T16:48:55.609554500Z"
    }
   },
   "cell_type": "code",
   "source": [
    "plt.plot(time, sigma(time))\n",
    "plt.show()"
   ],
   "id": "59c7832afc2c8197",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 235
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-06T16:42:16.772708600Z",
     "start_time": "2026-05-06T16:42:16.751857700Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# This we need to simulate X by euler Maryuama\n",
    "def a_(t,x):\n",
    "    return -a * x\n",
    "\n",
    "def sigma_(t,x):\n",
    "    return sigma(x)"
   ],
   "id": "2ad8f40bb29d233f",
   "outputs": [],
   "execution_count": 211
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-06T16:49:22.651780Z",
     "start_time": "2026-05-06T16:49:22.646789Z"
    }
   },
   "cell_type": "code",
   "source": "",
   "id": "9fbaad1999e82622",
   "outputs": [],
   "execution_count": 235
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-06T17:02:04.863153900Z",
     "start_time": "2026-05-06T17:01:58.180433Z"
    }
   },
   "cell_type": "code",
   "source": [
    "N = 10000\n",
    "T_ = 30\n",
    "x_0 = 0\n",
    "time = np.linspace(0,T_,N+1)\n",
    "X_ = np.array([eulerMaruyama(x_0,a_,sigma_,T_,N) for i in range(100)])"
   ],
   "id": "4008df66f41d8ca3",
   "outputs": [],
   "execution_count": 254
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-06T17:02:54.441573400Z",
     "start_time": "2026-05-06T17:02:54.428276700Z"
    }
   },
   "cell_type": "code",
   "source": "X__=X_.mean(axis=0)",
   "id": "454585e02056967f",
   "outputs": [],
   "execution_count": 264
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-06T17:08:56.582741500Z",
     "start_time": "2026-05-06T17:08:56.568325500Z"
    }
   },
   "cell_type": "code",
   "source": "",
   "id": "194d2686a979707f",
   "outputs": [],
   "execution_count": 273
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-06T17:03:38.555474600Z",
     "start_time": "2026-05-06T17:03:38.543281900Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def X(t, data = (time, X__)):\n",
    "    \"\"\"\n",
    "    We Interpolate Trajectories of X\n",
    "    :param t:\n",
    "    :param data:\n",
    "    :return:\n",
    "    \"\"\"\n",
    "    return np.interp(t, data[0], data[1])"
   ],
   "id": "dde8e30fac1cf7c0",
   "outputs": [],
   "execution_count": 269
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-06T17:03:39.042865300Z",
     "start_time": "2026-05-06T17:03:38.972589500Z"
    }
   },
   "cell_type": "code",
   "source": [
    "plt.plot(time,X(time))\n",
    "plt.show()"
   ],
   "id": "be1b7e4c66c285c8",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 270
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-06T17:03:39.909922500Z",
     "start_time": "2026-05-06T17:03:39.894975900Z"
    }
   },
   "cell_type": "code",
   "source": [
    "B = lambda t, T: 1/a * (1 - np.exp(-a *(T-t)) )\n",
    "B = np.vectorize(B)\n",
    "\n",
    "V = lambda t, T, S: integrate.quad(lambda x: B(x,S) * sigma(x) *  B(x,S) * sigma(x),t, T)[0]\n",
    "V = np.vectorize(V)\n",
    "\n",
    "A = lambda t, T: p0T(T)/p0T(t) * np.exp((V(0,t,t) - V(0,t,T))/2)\n",
    "A = np.vectorize(A)"
   ],
   "id": "54d7771d532f6a96",
   "outputs": [],
   "execution_count": 271
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-06T17:03:40.637006800Z",
     "start_time": "2026-05-06T17:03:40.623640800Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def p(t, T, X):\n",
    "    \"\"\"\n",
    "    Calculate P(t,T)\n",
    "    :param t:\n",
    "    :param T:\n",
    "    :param X:\n",
    "    :return:\n",
    "    \"\"\"\n",
    "    if t == 0:\n",
    "        return p0T(T)\n",
    "    return A(t,T) * np.exp(-B(t,T) * X (t))\n"
   ],
   "id": "e3a2baddb63f2393",
   "outputs": [],
   "execution_count": 272
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-06T17:04:04.517860Z",
     "start_time": "2026-05-06T17:03:41.140104600Z"
    }
   },
   "cell_type": "code",
   "source": [
    "plt.plot(time[:1000:10],\n",
    "         np.vectorize(\n",
    "             lambda t: p(t,3,np.vectorize(X)))(time[:1000:10]))\n",
    "plt.show()"
   ],
   "id": "d5e4ab8289fce2b9",
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\dell\\AppData\\Local\\Temp\\ipykernel_2712\\214725157.py:4: IntegrationWarning: The maximum number of subdivisions (50) has been achieved.\n",
      "  If increasing the limit yields no improvement it is advised to analyze \n",
      "  the integrand in order to determine the difficulties.  If the position of a \n",
      "  local difficulty can be determined (singularity, discontinuity) one will \n",
      "  probably gain from splitting up the interval and calling the integrator \n",
      "  on the subranges.  Perhaps a special-purpose integrator should be used.\n",
      "  V = lambda t, T, S: integrate.quad(lambda x: B(x,S) * sigma(x) *  B(x,S) * sigma(x),t, T)[0]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 273
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "# CALL",
   "id": "29b5db2c2a591f3e"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-06T16:55:19.088845Z",
     "start_time": "2026-05-06T16:55:19.077178600Z"
    }
   },
   "cell_type": "code",
   "source": [
    "V_T = lambda t, T, S: integrate.quad(lambda x: (B(x,T) - B(x,S)) * (B(x,T) - B(x,S)) * sigma(x) * sigma(x),t, T)[0]\n",
    "V_T = np.vectorize(V_T)"
   ],
   "id": "c279c7bd36d71ae9",
   "outputs": [],
   "execution_count": 242
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-06T16:55:19.393590500Z",
     "start_time": "2026-05-06T16:55:19.376931900Z"
    }
   },
   "cell_type": "code",
   "source": [
    "d_1 = lambda K, F, V: (np.log(F/K) + np.power(V,2)/2) /V\n",
    "d_2 = lambda K,F,V : d_1(K,F,V) - V"
   ],
   "id": "2173acca47a8c5df",
   "outputs": [],
   "execution_count": 243
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-06T16:55:19.674486500Z",
     "start_time": "2026-05-06T16:55:19.668406Z"
    }
   },
   "cell_type": "code",
   "source": "import scipy.stats as stats",
   "id": "6d4eef9f5a55ffa0",
   "outputs": [],
   "execution_count": 244
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-06T16:55:20.083067400Z",
     "start_time": "2026-05-06T16:55:20.077991Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def Call(K, T, S, t, PS, PT):\n",
    "    Z = PS/PT\n",
    "    v = np.sqrt(V_T(t,T,S))\n",
    "    return  PT*(Z*stats.norm.cdf(d_1(K,Z,v)) - K * stats.norm.cdf(d_2(K,Z,v)))\n"
   ],
   "id": "1b01a9c03a96ebab",
   "outputs": [],
   "execution_count": 245
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-06T16:55:20.445847800Z",
     "start_time": "2026-05-06T16:55:20.437147Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def Put(K, T, S, t, PS, PT):\n",
    "    Z = PS/PT\n",
    "    v = np.sqrt(V_T(t,T,S))\n",
    "    return  PT*(-Z*stats.norm.cdf(-d_1(K,Z,v)) + K * stats.norm.cdf(-d_2(K,Z,v)))"
   ],
   "id": "fb52a5ac99160a3f",
   "outputs": [],
   "execution_count": 246
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-06T16:55:20.842589200Z",
     "start_time": "2026-05-06T16:55:20.829398200Z"
    }
   },
   "cell_type": "code",
   "source": [
    "K = 0.77\n",
    "T = 688/360\n",
    "S = 900/360\n",
    "PT = 0.8\n",
    "PS = 0.77"
   ],
   "id": "31a58fd351eba199",
   "outputs": [],
   "execution_count": 247
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-06T16:55:21.387604200Z",
     "start_time": "2026-05-06T16:55:21.258148900Z"
    }
   },
   "cell_type": "code",
   "source": "Call(K,T,S,0,PS,PT)",
   "id": "62233500173d2609",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(0.1621933791502703)"
      ]
     },
     "execution_count": 248,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 248
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-06T16:55:22.307718Z",
     "start_time": "2026-05-06T16:55:22.183233300Z"
    }
   },
   "cell_type": "code",
   "source": "Put(K,T,S,0,PS,PT)",
   "id": "90d89789a0289eee",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(0.008193379150270297)"
      ]
     },
     "execution_count": 249,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 249
  },
  {
   "metadata": {},
   "cell_type": "code",
   "outputs": [],
   "execution_count": null,
   "source": "",
   "id": "fa169a8649d3ddec"
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
