{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-02-16T08:12:27.012073Z",
     "start_time": "2022-02-16T08:12:10.124839Z"
    }
   },
   "outputs": [],
   "source": [
    "import math\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-02-16T08:16:54.197390Z",
     "start_time": "2022-02-16T08:16:54.192922Z"
    }
   },
   "outputs": [],
   "source": [
    "sns.set_style(\"whitegrid\")\n",
    "params_grid = {\"color\": 'lightgrey', \"linestyle\": 'dotted', \"linewidth\": 0.7 }"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Jeu de cartes red-black"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On dispose d’un jeu de $N$ cartes composé d'autant de cartes rouges que de cartes noires. Le joueur part d’une fortune initiale nulle, $Z_0 = 0$, et à l’étape $n \\in \\{1, \\dots, N\\}$ il tire une carte et gagne $+1$ si la carte est noire ou perd 1 (gagne $-1$) si la carte est rouge.  \n",
    "La carte est alors retirée du jeu et le joueur décide de continuer le jeu ou de quitter le jeu avec sa fortune actuelle.  \n",
    "\n",
    "- Faut-il jouer à ce jeu ? \n",
    "- Si oui combien est-on prêt à payer pour jouer à ce jeu, quelle est la valeur de ce jeu ?\n",
    "- Comment jouer *au mieux* à ce jeu ? "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Modélisation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On modélise le jeu de la façon suivante. Soit $(X_n)_{n \\in \\{0,\\dots,N\\}}$ la chaîne de Markov qui représente le nombre de cartes noires tirées depuis le début du jeu. Pour $n$ fixé, $X_n$ est à valeurs dans $E_n \\subset E = \\{0, \\dots, N/2 \\}$. Les transitions $(P_n)_{n = 1,\\dots,N}$ de la CM sont définies par $P_{n}(x, y) = \\mathbf{P} \\big(X_n = y | X_{n-1} = x\\big)$ et vérifient \n",
    "\\begin{equation*}\n",
    "\\forall x, y \\in E, \\quad \n",
    "P_n(x, y) = \\begin{cases}\n",
    "\\frac{N/2 - x}{N - (n-1)} & \\text{si } y = x+1, \\\\\n",
    "\\frac{N/2 - (n-x)}{N - (n-1)} & \\text{si } y = x, \\\\ \n",
    "0 & \\text{sinon} \\\\\n",
    "\\end{cases}\n",
    "\\end{equation*}\n",
    "\n",
    "Les fonctions de gains ou payoffs $\\varphi$ sont données par $\\varphi_n(x) = 2x-n$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-02-16T08:16:56.970512Z",
     "start_time": "2022-02-16T08:16:56.964314Z"
    }
   },
   "outputs": [],
   "source": [
    "N = 8         # nombres de cartes\n",
    "Nb = N // 2     # nombres de cartes black"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "metadata": {},
   "outputs": [],
   "source": [
    "# states[n]: les valeurs possibles en n: le nombre de cartes noires tirées depuis le début du jeu\n",
    "# P[n]: matrice de transition de la chaine de Markov \n",
    "\n",
    "states, P = [ None ] * (N+1), [ None ] * (N+1)\n",
    "states[0] = np.array([ 0 ])\n",
    "for n in range(1, N+1): \n",
    "    states[n] = np.arange(max(0, n-Nb), min(n, Nb)+1)\n",
    "    P[n] = np.zeros((len(states[n-1]), len(states[n]))) \n",
    "    for i, x in enumerate(states[n-1]):\n",
    "        for j, y in enumerate(states[n]):\n",
    "            if (y == x): P[n][i,j] = (Nb-((n-1)-x)) / (N-(n-1))\n",
    "            if (y == x+1): P[n][i,j] = (Nb-x) / (N-(n-1)) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-02-16T08:17:06.564105Z",
     "start_time": "2022-02-16T08:17:06.555503Z"
    }
   },
   "outputs": [],
   "source": [
    "# Z_n = phi_n(X_n) avec phi_n(x) = 2x - n\n",
    "payoffs = []\n",
    "for n, xn in enumerate(states):\n",
    "    payoffs.append(2*xn - n)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.42857143, 0.57142857, 0.        ],\n",
       "       [0.        , 0.57142857, 0.42857143]])"
      ]
     },
     "execution_count": 126,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "P[2]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Construction des fonctions valeurs $V_n$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Les fonctions valeurs vérifient le système rétrograde \n",
    "$$\n",
    "    \\begin{cases}\n",
    "        V_N(x) = \\phi_N(x) & \\forall x \\in E_N, \\\\\n",
    "        V_n(x) = \\max\\big(\\phi_n(x), P_{n+1} V_{n+1}(x) \\big) & \\forall x \\in E_n, \\quad n = 0, \\dots, N-1\n",
    "    \\end{cases}\n",
    "$$\n",
    "\n",
    "**Remarque**: $S_n = V_n(X_n)$ représente la valeur de jeu (du produit) à l'itération $n$ lorsque le système est dans l'état $X_n$. Le prix en zéro est donc $S_0 = V_0(x_0)$. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-02-16T08:17:56.178512Z",
     "start_time": "2022-02-16T08:17:56.171489Z"
    }
   },
   "outputs": [],
   "source": [
    "V = [ None ] * (N+1)\n",
    "V[N] = payoffs[N]\n",
    "for n in reversed(range(N)):\n",
    "    # l'algorithme codé directement en matriciel: \n",
    "    # payoffs[n] correspond à Z_n\n",
    "    # P[n] @ V[n+1] correspond à l'espérance conditionnelle E[S_{n+1} | F_n] où S_n = V_n(X_n)\n",
    "    V[n] = np.maximum(payoffs[n], P[n+1] @ V[n+1]) # récurrence rétrograde sur la fonction valeur"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_regions(payoffs, V): \n",
    "    N = len(V)-1\n",
    "    # on définit la région d'arrêt: 0 continuation et 1 arrêt \n",
    "    regions = [ np.isclose(payoffs[n], V[n]).astype('int') for n in range(N+1) ]\n",
    "    \n",
    "    for n in range(N):\n",
    "        # pour chaque état de $E_{n+1}$ on met la valeur à -1 s'il est dans la rétion d'arrêt\n",
    "        # mais non accessible à partir d'un état de $E_n$.\n",
    "        for j, y in enumerate(states[n+1]):\n",
    "            to_visited = False\n",
    "            for i, x in enumerate(states[n]):\n",
    "                if ((P[n+1][i,j] > 0) and regions[n][i] == 0): \n",
    "                    to_visited = True\n",
    "                    break\n",
    "            if (not to_visited and regions[n+1][j] == 1):\n",
    "                regions[n+1][j] = -1\n",
    "    return regions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Affichage des fonctions valeurs "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib.patches import Patch"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot(ax, data, color=True):\n",
    "    regions = make_regions(payoffs, V)\n",
    "    size = 60 * 8 / N # if N <= 10 else 6\n",
    "    ax.grid(color='lightgrey', linestyle='dotted', linewidth=0.7)\n",
    "    if color: \n",
    "        colors = {1: 'red', 0: 'green', -1:'lightgrey'}\n",
    "    else:\n",
    "        colors = {1: 'lightgrey', 0: 'lightgrey', -1:'lightgrey'} \n",
    "    for n in range(N+1):\n",
    "        for v, z, s in zip(V[n], data[n], regions[n]):\n",
    "            ax.scatter(n, z, color=colors[s], marker='o', s=size)\n",
    "            if (N <= 10 or n == 0): \n",
    "                ax.annotate(f'{v:.1f}', xy = (n, z), xytext = (0, 12),\n",
    "                            textcoords = 'offset points', ha = 'center', va = 'center',\n",
    "                            bbox = dict(boxstyle = 'round,pad=0.2', fc = colors[s], alpha = 0.3))\n",
    "    if color: \n",
    "        legend_elements = [\n",
    "            Patch(facecolor=colors[0], label='Continuation region'),\n",
    "            Patch(facecolor=colors[1], label='Free boundary'),\n",
    "            Patch(facecolor=colors[-1], label='Inaccessible region'),\n",
    "        ]\n",
    "        ax.legend(handles=legend_elements)\n",
    "    return ax"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-02-16T08:18:00.775480Z",
     "start_time": "2022-02-16T08:18:00.439596Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(ncols=2, figsize=(12, 5))\n",
    "plot(ax1, states, color=False)\n",
    "ax1.set_ylabel(\"state value\")\n",
    "plot(ax2, payoffs, color=False)\n",
    "ax2.set_ylabel(\"payoff value\")\n",
    "for ax in (ax1, ax2):\n",
    "    ax.set_xlabel(\"iteration\")\n",
    "fig.suptitle(\"Two representations of the values functions $V_n$ as label of points\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(ncols=2, figsize=(12, 5))\n",
    "plot(ax1, states)\n",
    "ax1.set_ylabel(\"state value\")\n",
    "plot(ax2, payoffs)\n",
    "ax2.set_ylabel(\"payoff value\")\n",
    "for ax in (ax1, ax2):\n",
    "    ax.set_xlabel(\"iteration\")\n",
    "fig.suptitle(\"Two representations of the values functions $V_n$ as label of points\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(ncols=2, figsize=(12, 5))\n",
    "plot(ax1, states)\n",
    "ax1.set_ylabel(\"state value\")\n",
    "plot(ax2, payoffs)\n",
    "ax2.set_ylabel(\"payoff value\")\n",
    "for ax in (ax1, ax2):\n",
    "    ax.set_xlabel(\"iteration\")\n",
    "fig.suptitle(\"Two representations of the values functions $V_n$ as label of points\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Valeur du jeu en 0 (prix en 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.]\n",
      "[0.65714286 1.34285714]\n",
      "[0.4  0.85 2.  ]\n",
      "[0.2 0.5 1.2 3. ]\n"
     ]
    }
   ],
   "source": [
    "print(V[0])\n",
    "# ici tous les calculs sont exactes car on sait calculer \n",
    "# P_n V_{n+1} par un produit matrice-vecteur\n",
    "print(V[1])\n",
    "print(V[2])\n",
    "print(V[3] )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Réprésentation graphique d'un scénario"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {},
   "outputs": [],
   "source": [
    "regions = make_regions(payoffs, V)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Les gains depuis le début du jeu sont: [ 0  1  0 -1 -2 -1 -2 -1  0].\n",
      "On quitte le jeu après le tirage 8 avec le gain 0.\n"
     ]
    }
   ],
   "source": [
    "path = np.zeros(N+1, dtype=int)\n",
    "#path = np.array([0,1,2,3,3,2,1,1,0], dtype=int)\n",
    "for n in range(1, N+1): \n",
    "    path[n] = np.random.choice(np.arange(P[n].shape[1]), 1, p=P[n][path[n-1]])[0]\n",
    "    if (regions[n][path[n]] == 1): break # on sort et la valeur n est figée \n",
    "    \n",
    "# le morceau de trajectoire qui nous intéresse est jusqu'en n  \n",
    "gains = np.array([payoffs[k][path[k]] for k in range(n+1)])\n",
    "print(f\"Les gains depuis le début du jeu sont: {gains}.\")\n",
    "# et la valeur de sortie de cette trajectoire\n",
    "print(f\"On quitte le jeu après le tirage {n} avec le gain {payoffs[n][path[n]]}.\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "plot(ax, payoffs)\n",
    "ax.set_ylabel(\"payoff value\")\n",
    "ax.set_xlabel(\"iteration\")\n",
    "ax.plot(np.arange(n+1), gains, lw=1.5, color='grey')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Moyennisation sur M scénarios"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 138,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "La valeur de l'estimateur avec 10000 tirages est: 0.9999, et la variance estimée est 0.6607.\n",
      "La vraie valeur se trouve dans l'intervalle [0.984, 1.016] avec proba 0.95 (M = 10000).\n",
      "La vraie valeur est: 1.0\n"
     ]
    }
   ],
   "source": [
    "regions = make_regions(payoffs, V)\n",
    "M = int(1e4)\n",
    "gains_opt = np.zeros(M)\n",
    "path = np.zeros(N+1, dtype=int)\n",
    "for j in range(M):\n",
    "    for n in range(1, N+1): \n",
    "        path[n] = np.random.choice(np.arange(P[n].shape[1]), 1, p=P[n][path[n-1]])[0]\n",
    "        if (regions[n][path[n]] == 1): break # on sort et la valeur n est figée \n",
    "    gains_opt[j] = payoffs[n][path[n]]  \n",
    "\n",
    "# V_0 = E[Z_\\tau^*] \n",
    "m = np.mean(gains_opt)\n",
    "ic_size = 1.96 * np.sqrt(np.var(gains_opt, ddof=1) / M) \n",
    "print(f\"La valeur de l'estimateur avec {M} tirages est: {m:.4}, et la variance estimée est {np.var(gains_opt):.4}.\")\n",
    "print(f\"La vraie valeur se trouve dans l'intervalle [{m-ic_size:.4}, {m+ic_size:.4}] avec proba 0.95 (M = {M}).\")\n",
    "print(f\"La vraie valeur est: {V[0][0]:.4}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Put américain dans le modèle binomial "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Modélisation\n",
    "\n",
    "On se propose de valoriser une option put américaine dans un cadre Cox-Ross-Rubinstein (CRR).\n",
    "\n",
    "On note $r$ le taux d'actualisation continu et $T$ la maturité de l'option. On discrétise le temps en des instants $t_n = n \\frac{T}{N}$.\n",
    "À chaque date $t_n$ le détenteur de l'option peut choisir d'exercer l'option (option américaine). \n",
    "\n",
    "On note $V_n(X_n)$ la valeur du put et $X_n$ le prix sous-jacent à la date $t_n$. On cherche\n",
    "$$\n",
    "    V_0(X_0) = \\sup_{\\tau \\in \\mathcal{T}_0^N} \\mathbb{E}[Z_\\tau]\n",
    "$$\n",
    "avec $Z_n = \\varphi_n(X_n) = e^{-rt_n}(K - X_n)_+$ le payoff (d'un Put) actualisé de l'option et $\\mathcal{T}_n^N$ l'ensemble des temps d'arrêts entre $n$ et $N$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.5486135912065752\n"
     ]
    }
   ],
   "source": [
    "r, sigma = 0.10, 0.25 \n",
    "S0 = 100.\n",
    "T, N = 1, 8\n",
    "\n",
    "dt = T / N\n",
    "up = math.exp(sigma * math.sqrt(dt))\n",
    "down = 1. / up\n",
    "p = 0.5 * (1 + (r-0.5*sigma**2) * math.sqrt(dt) / sigma)\n",
    "print(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "metadata": {},
   "outputs": [],
   "source": [
    "# states[n]: les valeurs possibles en n\n",
    "# P[n]: matrice de transition de la chaine de Markov \n",
    "\n",
    "states, P = [ None ] * (N+1), [ None ] * (N+1)\n",
    "states[0] = np.array([ S0 ])\n",
    "for n in range(1, N+1): \n",
    "    states[n] = np.array([ S0 * up**n_up * down**(n-n_up) for n_up in range(n+1) ])\n",
    "    P[n] = np.zeros((len(states[n-1]), len(states[n])))    # refaire avec une matrice creuse.. \n",
    "    for i, x in enumerate(states[n-1]):\n",
    "        for j, y in enumerate(states[n]):\n",
    "            if math.isclose(y, x*up): P[n][i,j] = p\n",
    "            if math.isclose(y, x*down): P[n][i,j] = 1-p"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {},
   "outputs": [],
   "source": [
    "K = 110.\n",
    "payoffs = []\n",
    "for n, xn in enumerate(states):\n",
    "    payoffs.append(math.exp(-r * n*dt) * np.maximum((K - xn), 0))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fonctions valeurs "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {},
   "outputs": [],
   "source": [
    "V = [ None ] * (N+1)\n",
    "V[N] = payoffs[N]\n",
    "for n in reversed(range(N)):\n",
    "    # l'algorithme codé directement en matriciel: \n",
    "    # payoffs[n] correspond à Z_n\n",
    "    # P[n] @ V[n+1] correspond à l'espérance conditionnelle E[S_{n+1} | F_n] où S_n = V_n(X_n)\n",
    "    V[n] = np.maximum(payoffs[n], P[n+1] @ V[n+1]) # récurrence rétrograde sur la fonction valeur"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "plot(ax, states)\n",
    "ax.set_ylabel(\"state value\")\n",
    "ax.set_xlabel(\"iteration\")\n",
    "ax.set_title(f\"N={N}, S0={S0}, K={K}\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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