{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c323995f-13b4-4f19-b096-1702667be6c0",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "source": [
    "# Modèle de Heston\n",
    "\n",
    "On considère l'actif risqué $(S_t)_{t \\in [0,T]}$ modélisé par l'EDS suivante \n",
    "\\begin{equation*}\n",
    "    \\begin{cases}\n",
    "    \\operatorname{d}\\! S_t = r S_t \\operatorname{d}\\! t + \\sqrt{v_t} S_t \\operatorname{d}\\! W^S_t, & S_0 > 0 \\\\\n",
    "    \\operatorname{d}\\! v_t = (a - \\lambda v_t) \\operatorname{d}\\! t + \\sigma \\sqrt{v_t} \\operatorname{d}\\! W^v_t, & v_0 > 0\n",
    "    \\end{cases}\n",
    "\\end{equation*}\n",
    "où les processus $(W^S_t)_{t \\in [0,T]}$ et $(W^v_t)_{t \\in [0,T]}$ sont des mouvements Browniens standards réels corrélés avec un coefficient $\\rho \\in [-1,1]$ c'est à dire \n",
    "\\begin{equation*}\n",
    "    \\forall t \\in [0,T], \\quad \\operatorname{cor}(W^S_t, W^v_t) = \\rho\n",
    "\\end{equation*}\n",
    "\n",
    "Les paramètres $a > 0$, $\\lambda > 0$ et $\\sigma > 0$ sont supposés vérifiés la relation suivante $2 a > \\sigma^2$. Sous cette condition, le processus $(v_t)_{t \\ge 0}$ reste strictement positif (avec probabilité 1). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "1bb383e8-5124-4169-b672-77bd10f1b6d1",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy import stats\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "sns.set_theme() \n",
    "from numpy.random import default_rng\n",
    "rng = default_rng()\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "0b976ded-5f3b-4e6a-a32b-f3d4e3e24861",
   "metadata": {},
   "outputs": [],
   "source": [
    "def monte_carlo(sample, proba=0.95):\n",
    "    mean = np.mean(sample)\n",
    "    var = np.var(sample, ddof=1)\n",
    "    quantile = stats.norm.ppf(1 - (1-proba)/2)\n",
    "    ci_size = quantile * np.sqrt(var / sample.size)    \n",
    "    result = { \"mean\": mean, \"var\": var, \"lower\": mean - ci_size, \"upper\": mean + ci_size }\n",
    "    return result"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "31dea1de-8008-4eda-9553-ec8349d0bcdd",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "source": [
    "## Classe `Heston`"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8c865dc1-76a7-4435-94a4-007edfdeb97b",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: partie théorique\n",
    "\n",
    "1. Ecrire le coupe $(W_t^S, W_t^v)_{t \\in [0,T]}$ comme combinaison linéaire de deux mouvements Browniens indépendants $(W_t)_{t \\in [0,T]}$ et $(B_t)_{t \\in [0,T]}$. On dit aussi que $(W_t, B_t)_{t \\in [0,T]}$ est un mouvement Brownien bidimensionnel.\n",
    "\n",
    "2. Ecrire $(\\bar S_{t_k}, \\bar v_{t_k})_{k=0,\\dots,N}$ le schéma d'Euler défini aux instants $t_k = kh = \\frac{k T}{N}$.\n",
    "\n",
    "3. Montrer que $\\mathbf{P}\\big(\\bar v_{t_{k+1}} < 0 | \\bar v_{t_k} > 0\\big) > 0$.  \n",
    "Qu'en déduire quand à l'utilisation de ce schéma en pratique ? Proposer une correction possible."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "953c8a9a-470c-4eff-89a0-d7071d5665a9",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: schéma d'Euler\n",
    "\n",
    "Ecrire une classe `Heston` sur le modèle de la classe `Black-Scholes` de la feuille précédente.  \n",
    "\n",
    "Implémenter le schéma d'Euler (avec correction) dans une méthode `paths_euler` qui prend comme argument des accroissements du mouvement Brownien bidimensionnel $(W_t, B_t)_{t \\in [0,T]}$ aux instants $t_k = kh = \\frac{k T}{N}$. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "1c1169d4-f468-4290-94e1-1bcd54bc57f5",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [],
   "source": [
    "class Heston:\n",
    "    def __init__(self, x0, r, sigma, T, kappa, theta, xi, rho):\n",
    "        self.x0 = x0\n",
    "        self.r = r\n",
    "        self.sigma = sigma\n",
    "        self.T = T\n",
    "        self.kappa = kappa\n",
    "        self.theta = theta\n",
    "        self.xi = xi\n",
    "        self.rho = rho\n",
    "    \n",
    "    def paths_euler(self, dW, dZ):\n",
    "        N = dW.shape[0]\n",
    "        S = np.zeros(N)\n",
    "        v = np.zeros(N)\n",
    "        S[0] = self.x0\n",
    "        v[0] = self.sigma**2\n",
    "        for i in range(0, N-1):\n",
    "            v[i+1] = v[i] + self.kappa * (self.theta - v[i]) * self.T/N + self.xi * np.sqrt(np.abs(v[i])) * dZ[i]\n",
    "            S[i+1] = S[i] * np.exp((self.r - 0.5 * v[i]) * self.T/N + np.sqrt(np.abs(v[i])) * dW[i])\n",
    "        return S, v"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "05ca5e34-ee9d-4821-bbb4-ff668a31466f",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: visualisation de trajectoires\n",
    "\n",
    "On considère les paramètres $S_0 = 100$, $v_0 = 0.1$, $r = 0.05$, $a = 0.1$, $\\lambda = 0.1$, $\\sigma=0.1$, $\\rho=0.3$ et la maturité $T = 1$.\n",
    "\n",
    "Tracer 20 trajectoires du spot et de la volatilité obtenues avec un schéma d'Euler de pas $h = \\frac{1}{N}$ et $N = 50$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "12ab2a58-0df2-4d23-ac36-4eb0c460a558",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Prix exact de l'option : 22.2035\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Temps')"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = Heston(x0=100, r=0.2, sigma=0.3, T=1, kappa=2, theta=0.04, xi=0.5, rho=0.3)\n",
    "def bs_call(X : Heston, K):\n",
    "    d1 = (np.log(X.x0/K) + (X.r + 0.5 * X.sigma**2) * X.T) / (X.sigma * np.sqrt(X.T))\n",
    "    d2 = d1 - X.sigma * np.sqrt(X.T)\n",
    "    return X.x0 * stats.norm.cdf(d1) - K * np.exp(-X.r * X.T) * stats.norm.cdf(d2)\n",
    "exact_price = bs_call(X, K=100)\n",
    "print(f'Prix exact de l\\'option : {exact_price:.4f}')\n",
    "\n",
    "fig, ax = plt.subplots(1, 2, figsize=(12, 4))\n",
    "\n",
    "N = 1000\n",
    "M = 20\n",
    "dW = rng.normal(0, np.sqrt(X.T/N), size=(N, M))\n",
    "dZ = rng.normal(0, np.sqrt(X.T/N), size=(N, M))\n",
    "for i in range(M):\n",
    "    S, v = X.paths_euler(dW[:, i], dZ[:, i])\n",
    "    ax[0].plot(S, color='blue')\n",
    "    ax[1].plot(v, color='orange')\n",
    "ax[0].set_title('Simulations de trajectoires du prix de l\\'actif sous le modèle de Heston')\n",
    "ax[0].set_xlabel('Temps')\n",
    "ax[1].set_title('Simulations de trajectoires de la variance sous le modèle de Heston')\n",
    "ax[1].set_xlabel('Temps')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "838bf38d-2279-4bde-a69a-ecee8372210d",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: pricing\n",
    "\n",
    "On fixe $M = 20\\,000$ le nombre de simulations.\n",
    "- Calculer le prix d'un call de strike $K = 100$.  \n",
    "- Donner le prix (et l'intervalle de confiance) en fonction de $N$.\n",
    "- Tracer le résultat."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "623b4067-9858-4974-a71c-c50d9323eb1a",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Prix estimé de l'option par Monte Carlo : 20.6463\n"
     ]
    }
   ],
   "source": [
    "M = 20000\n",
    "dW = rng.normal(0, np.sqrt(X.T/N), size=(N, M))\n",
    "dZ = rng.normal(0, np.sqrt(X.T/N), size=(N, M))\n",
    "\n",
    "payoff_paths = np.zeros((M))\n",
    "for i in range(M):\n",
    "    S, v = X.paths_euler(dW[:, i], dZ[:, i])\n",
    "    payoff_paths[i] = np.maximum(S[-1] - 100, 0)\n",
    "\n",
    "price_estimate = np.exp(-X.r * X.T) * np.mean(payoff_paths)\n",
    "print(f'Prix estimé de l\\'option par Monte Carlo : {price_estimate:.4f}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "18cd772c-647a-421e-a1aa-bb48519f6d91",
   "metadata": {},
   "source": [
    "## Pricing par préconditionnement"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "79bcfc63-2d1b-471b-aeea-44db642d2c88",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "source": [
    "Soit $\\varphi$ une fonction de payoff classique et $P_{BS}(x, r, s) = \\mathbf{E}\\big[e^{-rT} \\varphi \\big(x e^{(r-\\frac{s^2}{2}) T + s B_T} \\big) \\big]$ le prix dans un modèle de Black-Scholes de valeur initiale $x > 0$, de taux $r$ et de volatilité constante $s$. On note $\\mathcal{F}_t = \\sigma(W_s, 0 \\le s \\le t)$. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "755c69fa-e737-4d7f-9937-18fc41dde2bb",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: partie théorique\n",
    "\n",
    "1. Montrer qu'il existe $x_0$ variable aléatoire $\\mathcal{F}_T$-mesurable telle que\n",
    "\n",
    "$$\n",
    "    \\mathbf{E}\\big[ e^{-rT} \\varphi(S_T)|\\mathcal{F}_T \\big] = P_{BS}\\Bigg(x_0, r, \\sqrt{\\frac{1}{T} \\int_0^T (1-\\rho^2) v_t \\operatorname{d}\\! t}\\Bigg),\n",
    "$$\n",
    "\n",
    "(faire le cas $\\rho = 0$ pour commencer).\n",
    "\n",
    "3. En notant $Z$ la variable aléatoire de loi $\\mathbf{E} \\big[e^{-rT} \\varphi(S_T)|\\mathcal{F}_T \\big]$, montrer que\n",
    "\n",
    "$$\n",
    "    \\operatorname{var}(Z) \\le \\operatorname{var}\\big(e^{-rT} \\varphi(S_T)\\big)\n",
    "$$\n",
    "\n",
    "5. En déduire un estimateur de Monte Carlo _a priori_ plus efficace que l'estimateur naïf pour le calcul de $\\mathbf{E}\\big[e^{-rT} \\varphi(S_T)\\big]$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8f9d579a-09e8-4086-9a72-a6163dc08506",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: implémentation\n",
    "\n",
    "Calculer le prix du call de strike $K=100$ en utilisant ce préconditionnement (il faut utiliser la formule fermée de Black-Scholes pour calculer $P_{BS}$). \n",
    "\n",
    "Comparer les résultats en fonction de $N$ avec les prix obtenus précédemment sans précondtionnement. Faire un tracé."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e71e23ba-4005-446a-9f79-bdf3f7bbe3a6",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "935c3e53-4d55-45db-8710-ac3c3b38b8cf",
   "metadata": {},
   "source": [
    "## Création d'un projet \n",
    "\n",
    "Créer un répertoire qui va contenir les fichiers suivants: \n",
    "- `product.json` un fichier au format json qui contient les paramètres du modèle\n",
    "- `heston.py` un script python qui contient une fonction `euler_heston` qui simule des trajectoires (en pytorch par exemple)\n",
    "- `run.py` un script python qui lit le fichier `product.json` et qui appelle la fonction `euler_heston` du fichier `heston.py`\n",
    "\n",
    "On peut ajouter des options en ligne de commande pour par exemple pourvoir executer: \n",
    "```{sh}\n",
    "python3 run.py product.json --n_times 100 --n_paths 8192 --device mps\n",
    "```\n",
    "\n",
    "On utilisera les modules `json` et `argparse` (les installer et lire la documentation)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7ab24b3e-63ef-487b-86de-d4b596f5de88",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "729c669f-2b4b-4636-8b5d-b74d3764f99c",
   "metadata": {},
   "source": [
    "## Schéma d'Euler et Milstein sur le log-spot (opt.)\n",
    "\n",
    "On considère maintenant $X_t = \\log S_t$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b47f3f6d-d3d2-4ed4-af5f-c667c464b03b",
   "metadata": {},
   "source": [
    "### Question: partie théorique\n",
    "\n",
    "1. Ecrire l'EDS satisfaite par le couple $(X_t, v_t)$ ainsi que son schéma d'Euler $(\\bar X_{t_k}, \\bar v_{t_k})_{k \\in \\{0,\\dots, N\\}}$ de pas $h = \\frac{T}{N}$ défini aux instants $t_k = k h$, $k \\in \\{0,\\dots,N\\}$.\n",
    "\n",
    "2. Montrer que $\\mathbf{P}\\big(\\bar v_{t_{k+1}} < 0 | \\bar v_{t_k} > 0\\big) > 0$. Qu'en déduire quand à l'utilisation de ce schéma en pratique ?\n",
    "\n",
    "3. On considère le processus $z_t = e^{\\lambda t} v_t$. Montrer que le schéma de Milstein de $(z_t)_{t \\in [0,T]}$ défini aux instants $t_k = k h$ s'écrit\n",
    "\n",
    "$$\n",
    "    \\tilde z_{t_{k+1}} = \\tilde z_{t_k} + \\Big(a - \\frac{\\sigma^2}{4}\\Big) e^{\\lambda t_k} h + \\sigma e^{\\frac{\\lambda}{2} t_k} \\sqrt{\\tilde z_{t_k}} G_{k+1} + \\frac{\\sigma^2}{4} e^{\\lambda t_k} G_{k+1}^2,\n",
    "$$\n",
    "\n",
    "avec $(G_k)_{k \\ge 1}$ une suite _i.i.d._ à déterminer.\n",
    "Comment apparaît le terme $-\\frac{\\sigma^2}{4} e^{\\lambda t_k} h$ et que représente $G_{k+1}$ ? \n",
    "Rappeler brièvement les propriétés (convergence forte et convergence faible) de ce schéma de discrétisation.\n",
    "\n",
    "5. Montrer que $\\tilde v_{t_k} = e^{-\\lambda t_k} \\tilde z_{t_k}$ vérifie pour tout $k \\in \\{0, \\dots, N\\}$, $\\mathbf{P}\\big(\\tilde v_{t_k} > 0\\big) = 1$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f8568f1a-12eb-410e-8d21-64a8130bede2",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: implémentation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "42dcef6c-e5d3-49d5-b332-88aac0364d66",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "8ce60c39-8207-4562-8acb-8f6767b75841",
   "metadata": {},
   "source": [
    "## Schéma alternatif pour la volatilité (opt.)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "10b2df8f-8a39-40d0-8e46-497a18706aa0",
   "metadata": {},
   "source": [
    "### Question: partie théorique \n",
    "\n",
    "1. Montrer que $y_t = \\sqrt{v_t}$ vérifie\n",
    "\n",
    "$$\n",
    "   \\operatorname{d}\\! y_t = \\Big( \\frac{a - \\sigma^2/4}{2 y_t} - \\frac{\\lambda}{2} y_t \\Big) \\operatorname{d}\\! t +\n",
    "   \\frac{\\sigma}{2} \\operatorname{d}\\! W_t, \\quad y_0 = \\sqrt{v_0}.\n",
    "$$\n",
    "\n",
    "2. En déduire que pour tout $0 \\le s < t$,\n",
    "\n",
    "$$\n",
    "    y_t = e^{-\\frac{\\lambda}{2}(t-s)} y_s + \\int_s^t \\frac{a - \\sigma^2/4}{2 y_u} e^{-\\frac{\\lambda}{2}(t-u)}\n",
    "   \\operatorname{d}\\! u + \\int_s^t e^{-\\frac{\\lambda}{2}(t-u)} \\frac{\\sigma}{2} \\operatorname{d}\\! W_u.\n",
    "$$\n",
    "\n",
    "Quelle est la loi de $\\int_s^t e^{-\\frac{\\lambda}{2}(t-u)} \\frac{\\sigma}{2} \\operatorname{d}\\! W_u$ ?\n",
    "\n",
    "5. En déduire le schéma de discrétisation \"implicite\" $\\big(Y_{t_k}\\big)_{k=0,\\dots,N}$ de $(y_t)_{t \\ge 0}$ de la forme\n",
    "\n",
    "$$\n",
    "    \\forall k \\ge 0, \\quad Y_{t_{k+1}} = e^{-\\frac{\\lambda}{2} h} Y_{t_k} + \\frac{a-\\sigma^2/4}{Y_{t_{k+1}}}\\Big(\\frac{1-e^{-\\frac{\\lambda}{2}h}}{\\lambda}\\Big) + \\frac{\\sigma}{2} U_{k+1}^{\\lambda, h},\n",
    "$$\n",
    "\n",
    "où $h = t_{k+1} - t_k = \\frac{T}{N}$, $t_0 = 0$ et $\\big(U_{n}^{\\lambda, h}\\big)_{n \\ge 1}$ est une suite de v.a. _i.i.d._ à déterminer.\n",
    "Pour tout $k \\in \\{1,\\dots,N\\}$, écrire $Y_{t_{k}}$ comme solution d'un polynôme du second degré que vous expliciterez.\n",
    "\n",
    "7. En déduire un schéma de discrétisation pour $(v_t)_{t \\ge 0}$. Quel est l'avantage de ce schéma par rapport au schéma d'Euler ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "30f673ef-0128-4eaf-94cd-de1078e50248",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: implémentation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a578186d-93f4-45fe-957d-d382917fb79f",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "17e3c97d-bb72-4ac0-b637-2d4dbc592557",
   "metadata": {},
   "source": [
    "## Simulation exacte (opt.)\n",
    "\n",
    "Dans cette dernière partie, on veut simuler de façon exacte le processus $(v_t)_{t \\in [0,T]}$ lorsque la condition $\\frac{4 a}{\\sigma^2} \\in \\mathbf{N}$ est satisfaite. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f159a06c-9cb9-4e71-9b58-76123df7c7ad",
   "metadata": {},
   "source": [
    "### Question: partie théorique\n",
    "\n",
    "On admet que la transformée de Laplace de $v_t$ vérifie\n",
    "\n",
    "$$\n",
    "    \\mathbf{E}\\big[ e^{-\\theta v_t} | v_0 \\big] = F(t, v_0) = (2 \\theta L(t) + 1)^{-\\frac{2 a}{\\sigma^2}} \n",
    "    \\exp\\Big(-\\frac{\\theta L(t)\\chi(t, v_0)}{2 \\theta L(t) + 1}\\Big),\n",
    "$$\n",
    "\n",
    "avec $L(t) = \\frac{\\sigma^2}{4 \\lambda}(1-e^{-\\lambda t})$ et $\\chi(t, v_0) = \\frac{4 v_0 \\lambda e^{-\\lambda t}}{\\sigma^2(1-e^{-\\lambda t})}$.\n",
    "\n",
    "1. Déterminer la transformée de Laplace de $w_t = \\frac{v_t}{L(t)}$.\n",
    "\n",
    "2. Calculer la transformée de Laplace de $N^2$ où $N \\sim \\mathcal{N}(m, 1)$, $m \\in \\mathbf{R}$.\n",
    "\n",
    "3. En déduire la simulation exacte de $v_T$ puis d'un vecteur $(v_{t_1}, v_{t_2}, \\dots, v_{t_N})$ aux instants $t_k = kh$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9eed2b7a-7e0e-49d6-b97d-7cb992591dbd",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: implémentation\n",
    "\n",
    "Ecrire un code pour faire de la simulation exacte du vecteur $(v_{t_1}, v_{t_2}, \\dots, v_{t_N})$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e2bc7f85-f592-4459-9742-b279eccc766c",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.5"
  },
  "toc-autonumbering": true
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
