{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "e1ee57a5",
   "metadata": {},
   "source": [
    "## Exercise 1\n",
    "\n",
    "Assume the lognormal model for the asset price $S_T$. Assumme $\\sigma=0.2$ and $r=0.05$. Compute the price according to the Black-Scholes model of a put option with strike $K=5$ for the following set of parameters:\n",
    "1. $T=0.00001, 0.4, 0.8,\\ldots,10$\n",
    "2. $S_0=0.0001,0.4, 0.8,\\ldots,10$\n",
    "\n",
    "Present the results on the 3D-plot. Comment on the results for very small $T$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "00c1068a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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43wDd1vaGg0evRo2pdLpdKTJ0/Onz+faW2cQCBISEhYu3Yty4+XJUuWtG7dulOn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70iEz7MlojGwllVFeyziwfpjwxdFGKmZL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\n53x9AeNiCd1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9+L0cqtKPfVV1/t1T1K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\nMZp3Y2i85coKOvCPiM+82C2L99CezfS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HMO1UVyo9fdEQZuwko4B1qoBm7gYCTb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\nDgAAwBCEHQAAgCH+D7AIaJ35WVSlAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "TimeToMaturity=c(0.0001,1:25/2.5)\n",
    "S0=c(0.0001,1:25/2.5)\n",
    "\n",
    "compute_BS<-function(T,S0){\n",
    "    r=0.05\n",
    "    sigma=0.2\n",
    "    K=5\n",
    "    \n",
    "    a=(log(K/S0)-r*T+0.5*sigma^2*T)/(sigma*sqrt(T))\n",
    "    V0= (K*exp(-r*T)*pnorm(a)-S0*pnorm(a-sigma*sqrt(T)))\n",
    "    return(V0)\n",
    "}\n",
    "\n",
    "\n",
    "\n",
    "v0=outer(TimeToMaturity,S0, compute_BS)\n",
    "persp(TimeToMaturity,S0,v0, theta = -120, phi = 15, ticktype='detailed',col=terrain.colors(max(v0)+1)[v0[-1,-1]+1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "2f652448",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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WsxPz7vvoKku47gtfWE7fRix1KG1QxLIkoNp/q9V9p3XASjo3YqSj8j3VA+c+tM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W4cHHj+iwQnWOw3aoUxwu81ASB4YEP0A4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\nb0bp5qMtAp+uaBHIAQ8OSngEeUN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YJn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\nFICh6hXdQ89W15AqQxtq6PJfauHIdltnSJOQJAP5yzIUhascsYUwG22R8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3+4HG4gQ5KwVtdIYxupBiZ7slWQj0BjhoM9BAtPRmjD41IA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\nUvYBAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "persp(TimeToMaturity,S0,v0, theta = -120, phi = 15, ticktype='detailed',)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a75ccb66",
   "metadata": {},
   "source": [
    "## Exercise 2\n",
    "Prove the Black Scholes formula for the call option."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5ff13587",
   "metadata": {},
   "source": [
    "## Section 3.5\n",
    "\n",
    "# Exercise 3.23"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "3d16730a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol>\n",
       "\t<li>0.0744988074370093</li>\n",
       "\t<li>0.0839303017999433</li>\n",
       "\t<li>0.0939809434655701</li>\n",
       "\t<li>0.104636482894199</li>\n",
       "\t<li>0.115879676048752</li>\n",
       "\t<li>0.127690747804648</li>\n",
       "\t<li>0.14004785036307</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate}\n",
       "\\item 0.0744988074370093\n",
       "\\item 0.0839303017999433\n",
       "\\item 0.0939809434655701\n",
       "\\item 0.104636482894199\n",
       "\\item 0.115879676048752\n",
       "\\item 0.127690747804648\n",
       "\\item 0.14004785036307\n",
       "\\end{enumerate}\n"
      ],
      "text/markdown": [
       "1. 0.0744988074370093\n",
       "2. 0.0839303017999433\n",
       "3. 0.0939809434655701\n",
       "4. 0.104636482894199\n",
       "5. 0.115879676048752\n",
       "6. 0.127690747804648\n",
       "7. 0.14004785036307\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[[1]]\n",
       "[1] 0.07449881\n",
       "\n",
       "[[2]]\n",
       "[1] 0.0839303\n",
       "\n",
       "[[3]]\n",
       "[1] 0.09398094\n",
       "\n",
       "[[4]]\n",
       "[1] 0.1046365\n",
       "\n",
       "[[5]]\n",
       "[1] 0.1158797\n",
       "\n",
       "[[6]]\n",
       "[1] 0.1276907\n",
       "\n",
       "[[7]]\n",
       "[1] 0.1400479\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Inputs\n",
    "\n",
    "S0 <- 1\n",
    "sigma <- 0.25\n",
    "r <- 0.03\n",
    "T <- 1\n",
    "rg <- seq(-0.02,0.10,0.02)\n",
    "\n",
    "#Compute BS\n",
    "compute_BS<-function(T,S0,K,r,sigma){\n",
    "  \n",
    "    a=(log(K/S0)-r*T+0.5*sigma^2*T)/(sigma*sqrt(T))\n",
    "    V0= (K*exp(-r*T)*pnorm(a)-S0*pnorm(a-sigma*sqrt(T)))\n",
    "    return(V0)\n",
    "}\n",
    "K=S0*(1+rg)\n",
    "V0<- lapply(K,compute_BS,T=T,S0=S0,r=r,sigma=sigma)\n",
    "\n",
    "#output\n",
    "V0"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e70c68c",
   "metadata": {},
   "source": [
    "# Exercise 3.24"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "c5d07d86",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>\n",
       ".list-inline {list-style: none; margin:0; padding: 0}\n",
       ".list-inline>li {display: inline-block}\n",
       ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
       "</style>\n",
       "<ol class=list-inline><li>0.105570994058765</li><li>0.10495444532674</li><li>0.104575272881557</li></ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 0.105570994058765\n",
       "\\item 0.10495444532674\n",
       "\\item 0.104575272881557\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 0.105570994058765\n",
       "2. 0.10495444532674\n",
       "3. 0.104575272881557\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 0.1055710 0.1049544 0.1045753"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#inputs\n",
    "S0 <- 1\n",
    "sigma <- 0.25\n",
    "r <- 0.03\n",
    "T <- 1\n",
    "rg <- 0.04\n",
    "\n",
    "m1 <- 1e4\n",
    "m2 <- 1e5\n",
    "m3 <- 1e6\n",
    "\n",
    "#calculate strike\n",
    "K=S0*(1+rg)\n",
    "\n",
    "#calculate returns\n",
    "eps_1 <- rnorm(m1) \n",
    "S1 <- S0*exp(r*T-0.5*sigma^2*T+sigma*sqrt(T)*eps_1)\n",
    "\n",
    "eps_2 <- rnorm(m2) \n",
    "S2 <- S0*exp(r*T-0.5*sigma^2*T+sigma*sqrt(T)*eps_2)\n",
    "\n",
    "eps_3 <- rnorm(m3) \n",
    "S3 <- S0*exp(r*T-0.5*sigma^2*T+sigma*sqrt(T)*eps_3)\n",
    "X1 <- pmax(K-S1,0)\n",
    "X2 <- pmax(K-S2,0)\n",
    "X3 <- pmax(K-S3,0)\n",
    "\n",
    "#calculate BS\n",
    "v01 <- exp(-r*T)*mean(X1)\n",
    "v02 <- exp(-r*T)*mean(X2)\n",
    "v03 <- exp(-r*T)*mean(X3)\n",
    "c(v01,v02,v03)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e7f51493",
   "metadata": {},
   "source": [
    "# Excerise 3.25\n",
    "On the blackboard\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "80570db6",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "52a69b3f",
   "metadata": {},
   "source": [
    "# Exercise 3.27"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "904ffbe2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.106207434505214"
      ],
      "text/latex": [
       "0.106207434505214"
      ],
      "text/markdown": [
       "0.106207434505214"
      ],
      "text/plain": [
       "[1] 0.1062074"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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dgFhVPZ4wBosUWRTtMvmct7CHsAB/+z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\nAElFTkSuQmCC",
      "text/plain": [
       "Plot with title “density.default(x = V_1)”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#inputs\n",
    "S0 <- 1\n",
    "sigma <- 0.25\n",
    "r <- 0.03\n",
    "T <- 1\n",
    "T_1<-0.5\n",
    "rg <- 0.04\n",
    "\n",
    "m <- 1e6\n",
    "\n",
    "#calculate strike\n",
    "K=S0*(1+rg)\n",
    "\n",
    "#calculate returns\n",
    "eps <- rnorm(m) \n",
    "S_1<-S0*exp(r*T_1-0.5*sigma^2*T_1+sigma*sqrt(T_1)*eps)\n",
    "\n",
    "#calculate BS\n",
    "V_1 <- compute_BS(T=T-T_1,S0=S_1,K=K,r=r,sigma=sigma)\n",
    "\n",
    "\n",
    "plot(density(V_1))\n",
    "\n",
    "mean(V_1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "368f8725",
   "metadata": {},
   "source": [
    "# Exercise 3.28\n",
    "\n",
    "On the blackboard"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e737bec9",
   "metadata": {},
   "source": [
    "# Exercise 3.29"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "bc724e23",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>\n",
       ".list-inline {list-style: none; margin:0; padding: 0}\n",
       ".list-inline>li {display: inline-block}\n",
       ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
       "</style>\n",
       "<ol class=list-inline><li>0.0286196350331757</li><li>0.0386079743292686</li><li>0.0474763097846211</li><li>0.0958837610084006</li></ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 0.0286196350331757\n",
       "\\item 0.0386079743292686\n",
       "\\item 0.0474763097846211\n",
       "\\item 0.0958837610084006\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 0.0286196350331757\n",
       "2. 0.0386079743292686\n",
       "3. 0.0474763097846211\n",
       "4. 0.0958837610084006\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 0.02861964 0.03860797 0.04747631 0.09588376"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#inputs\n",
    "S0 <- 1\n",
    "sigma <- 0.25\n",
    "r <- 0.03\n",
    "T <- 1\n",
    "rg <- 0.04\n",
    "rc <- c(0.09,0.12,0.15,0.5)\n",
    "\n",
    "#Calc strike\n",
    "Kp=S0*(1+rg)\n",
    "Kc=S0*(1+rc)\n",
    "#calc BS\n",
    "ag <- (log(1+rg)-r*T+0.5*sigma^2*T)/(sigma*sqrt(T))\n",
    "ac <- (log(1+rc)-r*T+0.5*sigma^2*T)/(sigma*sqrt(T))\n",
    "v_0 <- compute_BS(T=T,S0=S0,K=Kp,r=r,sigma=sigma)-\n",
    "    sapply(Kc,compute_BS,T=T,S0=S0,r=r,sigma=sigma)-(S0-Kc*exp(-r*T))\n",
    "v_0"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3b8f6d14",
   "metadata": {},
   "source": [
    "## Exercise - Greeks\n",
    "\n",
    "Greeks are derivatives of the value of an option with respect to the parameters of the B-S-model. Assume a put option with strike K=1.04, r=0.03, T=1 and sigma=0.25. Approximate the derivative of $V_0$ with respect to $S_0$, r, $\\sigma$ and T and comment on sign of it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "8aaca7b7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] \"V0 is 0.104636482894199\"\n",
      "[1] \"New V0 is 0.100066677682884\"\n",
      "[1] \"Approximation of delta is -0.456980521131506\"\n",
      "[1] \"Real delta is -0.464891783874423\"\n"
     ]
    }
   ],
   "source": [
    "#inputs\n",
    "S0 <- 1\n",
    "sigma <- 0.25\n",
    "r <- 0.03\n",
    "T <- 1\n",
    "K <- 1.04\n",
    "\n",
    "S0_h <- 1.01\n",
    "sigma_h <- 0.26\n",
    "r_h <- 0.04\n",
    "T_h <- 1.01\n",
    "\n",
    "#Compute BS\n",
    "V0 <- compute_BS(T=T,S0=S0,K=K,r=r,sigma=sigma)\n",
    "print(paste(\"V0 is\",V0))\n",
    "\n",
    "#Compute BS for S0_h\n",
    "V0_h <- compute_BS(T=T,S0=S0_h,K=K,r=r,sigma=sigma)\n",
    "print(paste(\"New V0 is\",V0_h))\n",
    "print(paste(\"Approximation of delta is\",(V0_h-V0)/0.01))\n",
    "\n",
    "a=(log(K/S0)-r*T+0.5*sigma^2*T)/(sigma*sqrt(T))\n",
    "print(paste(\"Real delta is\",-pnorm(a-sigma*sqrt(T))))\n",
    "\n",
    "      "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "0fd5adbf",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] \"V0 is 0.104636482894199\"\n",
      "[1] \"New V0 is 0.0990486933611043\"\n",
      "[1] \"Rho is -0.55877895330948\"\n"
     ]
    }
   ],
   "source": [
    "print(paste(\"V0 is\",V0))\n",
    "\n",
    "#Compute BS for r_h\n",
    "V0_h <-compute_BS(T=T,S0=S0,K=K,r=r_h,sigma=sigma)\n",
    "print(paste(\"New V0 is\",V0_h))\n",
    "print(paste(\"Rho is\",(V0_h-V0)/0.01))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "a84849ec",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] \"V0 is 0.104636482894199\"\n",
      "[1] \"New V0 is 0.108609293288309\"\n",
      "[1] \"Vega is 0.397281039410985\"\n"
     ]
    }
   ],
   "source": [
    "print(paste(\"V0 is\",V0))\n",
    "\n",
    "#Compute BS for sigma\n",
    "V0_h <- compute_BS(T=T,S0=S0,K=K,r=r,sigma=sigma_h)\n",
    "print(paste(\"New V0 is\",V0_h))\n",
    "print(paste(\"Vega is\",(V0_h-V0)/0.01))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "6ac84703",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] \"V0 is 0.104636482894199\"\n",
      "[1] \"New V0 is 0.104961160926362\"\n",
      "[1] \"Theta is 0.0324678032162573\"\n"
     ]
    }
   ],
   "source": [
    "print(paste(\"V0 is\",V0))\n",
    "\n",
    "#Compute BS for T\n",
    "V0_h <-compute_BS(T=T_h,S0=S0,K=K,r=r,sigma=sigma)\n",
    "print(paste(\"New V0 is\",V0_h))\n",
    "print(paste(\"Theta is\",(V0_h-V0)/0.01))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "73d6ea84",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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