{
"cells": [
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"cell_type": "markdown",
"metadata": {},
"source": [
"# Day 6: Stochastic Process & Option Pricing\n",
"* Background knowledge\n",
" * 期貨基本概念: http://piscesgt.blogspot.com/2008/05/blog-post_25.html\n",
" * 選擇權基本概念: http://www.yuantafutures.com.tw/ytf/option/option_main.htm\n",
"* References:\n",
" * Steven Shreve, [Stochastic Calculus for Finance II: Continuous-Time Models](https://www.amazon.com/Stochastic-Calculus-Finance-II-Continuous-Time/dp/144192311X), 2010.\n",
" \n",
" * Yuh-Dauh Lyuu, [Financial Engineering and Computation: Principles, Mathematics, Algorithms](https://www.amazon.com/Financial-Engineering-Computation-Principles-Mathematics-ebook/dp/B00INYGAYU), 2001.\n",
" * https://www.csie.ntu.edu.tw/~lyuu/finance1.html\n",
" \n",
" * Yves Hilpisch, [Python for Finance: Analyze Big Financial Data](http://shop.oreilly.com/product/0636920032441.do), 2014.\n",
" * https://github.com/yhilpisch/py4fi\n",
" * https://www.datacamp.com/community/tutorials/finance-python-trading\n",
" \n",
" * Yves Hilpisch, [Derivatives Analytics with Python: Data Analysis, Models, Simulation, Calibration and Hedging](https://onlinelibrary.wiley.com/doi/book/10.1002/9781119038016), 2015.\n",
" * https://github.com/yhilpisch/dawp\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Selected Stochastic Processes"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Geometric Brownian Motion (GBM)\n",
"* Black and Scholes (1973), and Merton (1973) assume that the return rate of a stock follows a random walk: $$\\dfrac{dS_t}{S_t} = r dt + \\sigma dW_{t},$$ where $r$ is the risk-free interest rate, $\\sigma$ is the volatility of the process, and $dW_t$ is a Wiener process.\n",
" * Merton and Scholes received the 1997 Nobel Memorial Prize in Economic Sciences for their work, the committee citing their discovery of the risk neutral dynamic revision as a breakthrough that separates the option from the risk of the underlying security."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0,0.5,'Price')"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"S0 = 100\n",
"r = 0.05\n",
"v = 0.25\n",
"T = 1\n",
"N = 250\n",
"dt = T / N\n",
"\n",
"plt.figure(figsize = (12, 6))\n",
"for j in range(1000):\n",
" p = np.zeros([N + 1, 1])\n",
" p[0] = S0\n",
" for i in range(N):\n",
" p[i + 1] = p[i] * (1 + r * dt + np.sqrt(dt) * v * np.random.randn(1))\n",
" plt.plot(p)\n",
" \n",
"plt.grid()\n",
"plt.ylabel(\"Price\")"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"SS = S0 * np.exp((r - 0.5 * v ** 2) * T + v * np.sqrt(T) * np.random.randn(5000))\n",
"\n",
"plt.figure(figsize = (12, 6))\n",
"plt.hist(SS, 50, density = True)\n",
"plt.grid()\n",
"plt.ylabel(\"Density\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Mean-Reverting Process\n",
"* In finance, mean reversion is the assumption that a stock's price will tend to move to the average price over time.\n",
" * For example, interest rate, commodity, VIX.\n",
"* The mean-reverting models are as follows:\n",
" * `Ornstein-Uhlenbeck process` (1930)\n",
" > The Ornstein–Uhlenbeck process can also be considered as the continuous-time analogue of the discrete-time AR(1) process.\n",
" * `Vasicek model` (1977)\n",
" * `Cox-Ingersoll-Ross (CIR) model` (1985)\n",
" * The model is given by $$dr_t = \\kappa (\\theta - r_t) dt + \\sigma \\sqrt{r_t} dW_t,$$ where $\\kappa > 0$ is the mean-reverting rate, $\\theta$ is the long-term mean, and $\\sigma$ is the volatility of $r_t$.\n",
"* For MC simulation, we follow the simulation scheme by:\n",
" * https://papers.ssrn.com/sol3/papers.cfm?abstract_id=946405\n",
" * https://papers.ssrn.com/sol3/papers.cfm?abstract_id=1153950"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"r0 = 0.04\n",
"theta = 0.04\n",
"k = 0.2\n",
"v = 0.1\n",
"T = 1\n",
"N = 250\n",
"dt = T / N;\n",
"\n",
"plt.figure(figsize = (12, 6))\n",
"for j in range(10):\n",
" r = np.zeros([N + 1, 1])\n",
" r[0] = r0\n",
" for i in range(N):\n",
" curr_r = r[i]\n",
" if curr_r < 0:\n",
" curr_r = 0\n",
" r[i + 1] = curr_r + k * (theta - curr_r) * dt + np.sqrt(dt * curr_r) * v * np.random.randn(1)\n",
" plt.plot(r * 100)\n",
" \n",
"plt.grid()\n",
"plt.ylabel(\"Interest rate (%)\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Stochastic Volatility Process\n",
"* As you can see, the diffusion term of CIR model is nondeterministic; CIR model is one of stochastic volaility models.\n",
"* Here we consider the `Heston model` (1993), which is given by $$\\dfrac{dS_t}{S_t} = r dt + \\sqrt{V_t} dW_{t, 1},$$ $$dV_t = \\kappa (\\theta - V_t) dt + \\sigma \\sqrt{V_t} dW_{t, 2},$$ where $\\kappa > 0$ is the mean-reverting rate, $\\theta$ is the long-term mean of $V_t$, $\\sigma$ is the volatility of $V_t$, and $dW_{1, t}dW_{2, t} = \\rho dt$."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"s0 = 100\n",
"r = 0.01\n",
"\n",
"v0 = 0.09\n",
"theta = 0.04\n",
"k = 3\n",
"s = 0.3\n",
"\n",
"rho = -0.7\n",
"\n",
"plt.figure(figsize = (12, 6))\n",
"S = np.zeros([N + 1, 1])\n",
"S[0] = s0\n",
"\n",
"v = np.zeros([N + 1, 1])\n",
"v[0] = v0\n",
"\n",
"for i in range(N):\n",
" S[i + 1] = S[i] * (1 + r * dt + np.sqrt(dt) * v[i] * np.random.randn(1))\n",
" v[i + 1] = v[i] + k * (theta - v[i]) * dt + np.sqrt(dt) * s * np.sqrt(v[i]) * np.sqrt(1 - rho ** 2) * np.random.randn(1)\n",
"v = np.sqrt(v) * 100\n",
" \n",
"plt.subplot(211)\n",
"plt.plot(S)\n",
"plt.grid()\n",
"plt.ylabel(\"Price\")\n",
"plt.subplot(212)\n",
"plt.plot(v)\n",
"plt.grid()\n",
"plt.ylabel(\"Volatility (%)\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Jump-Diffusion Process\n",
"* Merton's jump-diffusion process (1976)\n",
" * See https://www.csie.ntu.edu.tw/~lyuu/finance1/2018/20180516.pdf."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0,0.5,'Price')"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"S0 = 100\n",
"r = 0.05\n",
"v = 0.2\n",
"intensity = 0.2\n",
"mu = -0.1\n",
"delta = 0.25\n",
"T = 1\n",
"N = 252\n",
"\n",
"dt = T / N\n",
"rj = intensity * (np.exp(mu + 0.5 * delta ** 2) - 1)\n",
"S = np.zeros([N + 1, 1])\n",
"\n",
"S[0] = S0\n",
"for i in range(N):\n",
" S[i + 1] = S[i] * (np.exp((r - rj - 0.5 * v ** 2) * dt + v * np.sqrt(dt) * np.random.randn(1)) + (np.exp(mu + delta * np.random.randn(1)) - 1) * np.random.poisson(intensity * dt, 1))\n",
"\n",
"plt.plot(S)\n",
"plt.grid()\n",
"plt.ylabel(\"Price\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Pricing on European Options\n",
"* See [option basics](https://www.csie.ntu.edu.tw/~lyuu/finance1/2018/20180321.pdf) starting from p.178."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Call Prices of European Option by Monte Carlo Simulation"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"10.38306020082487\n",
"9.413522208301158\n"
]
}
],
"source": [
"s0 = 100\n",
"X = 100\n",
"r = 0.01\n",
"v = 0.25\n",
"T = 1\n",
"M = 100000\n",
"\n",
"S = s0 * np.exp((r - 0.5 * v ** 2) * T + v * np.sqrt(T) * np.random.randn(1, M))\n",
"c = np.sum(S[S - X > 0] - X) / M * np.exp(-r * T)\n",
"p = np.sum(X - S[S - X < 0]) / M * np.exp(-r * T)\n",
"print(c)\n",
"print(p)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Black-Scholes Formula\n",
"* See [Black-Scholes formula](https://en.wikipedia.org/wiki/Black%E2%80%93Scholes_model#Black%E2%80%93Scholes_formula).\n",
"* You can check your numbers with [選擇權理論價格計算](https://www.taifex.com.tw/cht/9/calOptPrice) by 期交所."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"10.403539152996622\n"
]
}
],
"source": [
"import scipy.stats\n",
"\n",
"d1 = (np.log(s0 / X) + (r + 0.5 * v ** 2)) / np.sqrt(T) / v\n",
"d2 = d1 - np.sqrt(T) * v\n",
"\n",
"cc = s0 * scipy.stats.norm.cdf(d1) - X * np.exp(-r * T) * scipy.stats.norm.cdf(d2)\n",
"print(cc)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Call Prices of European Option by Binomial Option Pricing Model (BOPM)\n",
"* See the slides of [BOPM](https://www.csie.ntu.edu.tw/~lyuu/finance1/2018/20180328.pdf).\n",
"* For demonstration, I use $n = 3$ but the resulting price converges to the closed-form formula as $n \\rightarrow \\infty$."
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [],
"source": [
"n = 200\n",
"dt = T / n\n",
"R = np.exp(r * dt)\n",
"u = np.exp(v * np.sqrt(dt))\n",
"d = 1 / u\n",
"p = (R - d) / (u - d)\n",
"\n",
"tree = np.zeros([n + 1, n + 1])\n",
"tree[0, 0] = s0\n",
"for period in range(1, n + 1):\n",
" for level in range(period + 1):\n",
" factor = u ** (period - 2 * level)\n",
" tree[level, period] = s0 * factor\n",
"\n",
"# print(tree)"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [],
"source": [
"for level in range(n + 1):\n",
" payoff = tree[level, n] - X # for call option\n",
" # payoff = X - tree[level, n] # for put option\n",
" if payoff > 0:\n",
" tree[level, n] = payoff\n",
" else:\n",
" tree[level, n] = 0\n",
" \n",
"# print(tree)"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {},
"outputs": [],
"source": [
"for period in range(n - 1, -1, -1):\n",
" for level in range(period + 1):\n",
" tree[level, period] = (p * tree[level, period + 1] + (1 - p) * tree[level + 1, period + 1]) / R\n",
"\n",
"# print(tree)"
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"c = 9.39614819344482\n"
]
}
],
"source": [
"print(\"c = {}\".format(tree[0, 0]))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Exercise: Put Price?\n",
"* Simply change the payoff function to $\\max(X - S_t, 0)$."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Exercise: American Option Price?\n",
"* You can exercise anytime during the option lifespan."
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"American put = 9.473496912861108\n"
]
}
],
"source": [
"tree = np.zeros([n + 1, n + 1])\n",
"tree[0, 0] = s0\n",
"for period in range(1, n + 1):\n",
" for level in range(period + 1):\n",
" factor = u ** (period - 2 * level)\n",
" tree[level, period] = s0 * factor\n",
"\n",
"for level in range(n + 1):\n",
" payoff = X - tree[level, n]\n",
" if payoff > 0:\n",
" tree[level, n] = payoff\n",
" else:\n",
" tree[level, n] = 0\n",
"\n",
"for period in range(n - 1, -1, -1):\n",
" for level in range(period + 1):\n",
" continuation_value = (p * tree[level, period + 1] + (1 - p) * tree[level + 1, period + 1]) / R\n",
" exercise_value = X - tree[level, period]\n",
" exercise_value = exercise_value if exercise_value > 0 else 0\n",
" tree[level, period] = np.maximum(continuation_value, exercise_value)\n",
" \n",
"print(\"American put = {}\".format(tree[0, 0]))\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Option Pricing by QuantLib\n",
"* QuantLib: https://www.quantlib.org/\n",
" * QuantLib is a free/open-source library for quantitative finance.\n",
" * QuantLib is written in C++ with a clean object model, and is then exported to different languages such as C#, Objective Caml, Java, Perl, Python, GNU R, Ruby, and Scheme.\n",
" * Documentation: https://www.quantlib.org/docs.shtml\n",
"* Installation:\n",
" * https://www.quantlib.org/install/windows-python.shtml\n",
" ```bash\n",
" pip install QuantLib-Python\n",
" ```\n",
" * https://github.com/lballabio/QuantLib-SWIG/tree/master/Python\n",
"* Reference:\n",
" * https://github.com/andydong1209/TrainCourse/blob/master/DerivativesPricing_QuantLib-Python%E8%B2%A1%E5%B7%A5%E7%8F%AD.pdf"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Collecting QuantLib-Python\n",
" Downloading https://files.pythonhosted.org/packages/4b/e9/76e3f0b0a8fc286adab53abd8b94789ae7485bac9a9f742cce5f149c9e39/QuantLib_Python-1.16.1-cp36-cp36m-win_amd64.whl (10.8MB)\n",
"Installing collected packages: QuantLib-Python\n",
"Successfully installed QuantLib-Python-1.16.1\n"
]
}
],
"source": [
"!pip install QuantLib-Python"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"from QuantLib import *"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Time\n",
"* Date: calendar days and **business days** (depending on your country/region)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"August 28th, 2019\n"
]
}
],
"source": [
"date = Date(28, August, 2019)\n",
"print(date)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"us_calendar = UnitedStates()\n",
"tw_calendar = Taiwan()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Add 60 days: September 27th, 2019\n",
"Add 60 business days in US: October 10th, 2019\n",
"Add 60 business days in Taiwan: October 14th, 2019\n"
]
}
],
"source": [
"period = Period(30, Days)\n",
"raw_date = date + period # calendar days\n",
"us_date = us_calendar.advance(date, period) # business days\n",
"tw_date = tw_calendar.advance(date, period)\n",
"\n",
"print(\"Add 60 days: {0}\".format(raw_date))\n",
"print(\"Add 60 business days in US: {0}\".format(us_date))\n",
"print(\"Add 60 business days in Taiwan: {0}\".format(tw_date))"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"12\n"
]
}
],
"source": [
"busdays = tw_calendar.businessDaysBetween(Date(28, 8, 2019), Date(16, 9, 2019))\n",
"print(busdays) # should be 4 bdays?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Joint Calendar"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"11\n"
]
}
],
"source": [
"joint_calendar = JointCalendar(us_calendar, tw_calendar)\n",
"busdays = joint_calendar.businessDaysBetween(Date(28, 8, 2019), Date(16, 9, 2019))\n",
"print(busdays)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### European Option Prices in Black-Scholes Universe"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"d1 = Date(19, June, 2019)\n",
"d2 = Date(19, June, 2019) + Period(1, Years)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"Settings.instance().evaluationDate = d1\n",
"payoff = PlainVanillaPayoff(Option.Call, 100.0)\n",
"exercise = EuropeanExercise(d2)\n",
"call_option = EuropeanOption(payoff, exercise)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"spot = SimpleQuote(100.0)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"r = FlatForward(d1, 0.01, Actual365Fixed())\n",
"v = BlackConstantVol(d1, TARGET(), 0.25, Actual365Fixed())"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"process = BlackScholesProcess(QuoteHandle(spot), \n",
" YieldTermStructureHandle(r), \n",
" BlackVolTermStructureHandle(v))\n",
"call_option.setPricingEngine(AnalyticEuropeanEngine(process))"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"10.418271653959474\n"
]
}
],
"source": [
"print(call_option.NPV())"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.5656168992086897\n",
"0.01571983257468917\n",
"39.40725152285093\n"
]
}
],
"source": [
"print(call_option.delta())\n",
"print(call_option.gamma())\n",
"print(call_option.vega())"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"spots = np.linspace(50.0, 120.0, 30)\n",
"ys = []\n",
"for item in spots:\n",
" spot.setValue(item)\n",
" ys.append(call_option.NPV())\n",
"\n",
"plt.figure(figsize = (12, 6))\n",
"plt.plot(spots, ys, 'o--')\n",
"plt.grid(True)\n",
"plt.xlabel(\"Underlying value\")\n",
"plt.ylabel(\"Call value\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Exercise: American Put"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"put = VanillaOption(PlainVanillaPayoff(Option.Put, 100), AmericanExercise(d1, d2))\n",
"spot.setValue(100)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"American put = 9.485771401219466\n"
]
}
],
"source": [
"put.setPricingEngine(BinomialVanillaEngine(process, \"CRR\", 200))\n",
"print(\"American put = \", put.NPV())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### European Option Prices in Heston's Universe"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"process = HestonProcess(YieldTermStructureHandle(r), \n",
" YieldTermStructureHandle(FlatForward(d1, 0.0, Actual360())), \n",
" QuoteHandle(spot),\n",
" 0.0625,\n",
" 3,\n",
" 0.0625,\n",
" 0.1,\n",
" -0.75)\n",
"\n",
"call_option.setPricingEngine(AnalyticHestonEngine(HestonModel(process)))"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ys2 = []\n",
"for item in spots:\n",
" spot.setValue(item)\n",
" ys2.append(call_option.NPV())\n",
"\n",
"plt.figure(figsize = (12, 6))\n",
"plt.subplot(211)\n",
"plt.plot(spots, ys, 'o--', alpha = 0.5, label = \"Black-Scholes Model\")\n",
"plt.plot(spots, ys2, 'o--', alpha = 0.5, label = \"Heston Model\")\n",
"plt.grid(True)\n",
"plt.xlabel(\"Underlying value\")\n",
"plt.ylabel(\"Call value\")\n",
"plt.legend()\n",
"\n",
"plt.subplot(212)\n",
"plt.plot(spots, [(x2 - x1) / x1 * 100 for x1, x2 in zip(ys, ys2)], 'o--')\n",
"plt.xlabel(\"Underlying value\")\n",
"plt.ylabel(\"Relative difference (%)\")\n",
"plt.grid(True)\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Delta = 0.5788065581173214\n"
]
}
],
"source": [
"spot.setValue(99)\n",
"c1 = call_option.NPV()\n",
"spot.setValue(101)\n",
"c2 = call_option.NPV()\n",
"delta = (c2 - c1) / 2\n",
"print('Delta = ', delta)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Exercise: Try to calculate its greeks like gamma, vega, theta."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Common Approaches to Option Pricing\n",
"* Analytic methods: closed-form solution\n",
"* PDE methods: finite-difference\n",
"* Lattice methods: binomial tree\n",
"* Monte Carlo simulation\n",
" * Sobol: https://medium.com/@antoine_savine/sobol-sequence-explained-188f422b246b\n",
" * Mersenne Twister:https://en.wikipedia.org/wiki/Mersenne_Twister\n",
"* Reference\n",
" * https://github.com/asavine/CompFinance"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"call_option = EuropeanOption(payoff, exercise)\n",
"process = BlackScholesProcess(QuoteHandle(SimpleQuote(100.0)), \n",
" YieldTermStructureHandle(r), \n",
" BlackVolTermStructureHandle(v))\n",
"\n",
"call_option.setPricingEngine(AnalyticEuropeanEngine(process))\n",
"value = call_option.NPV()\n",
"refValue = value"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [],
"source": [
"def report(method, x, dx=None):\n",
" e = \"{:.4f}\".format(abs(x - refValue))\n",
" x = \"{:.4f}\".format(x)\n",
" if dx:\n",
" dx = \"{:.4f}\".format(dx)\n",
" else:\n",
" dx = \"n/a\"\n",
" \n",
" print(\" |\".join([\"{:>17s}\".format(y) for y in [method, x, dx, e]]))"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
" Method | Value | Standard Error | Actual Error\n",
"--------------------------------------------------------------------------\n",
" analytic | 10.4183 | n/a | 0.0000\n",
" binomial (CRR) | 10.4662 | n/a | 0.0480\n",
" finite diff. | 10.4701 | n/a | 0.0519\n",
" MC (crude) | 10.4237 | 0.0200 | 0.0054\n",
" MC (Sobol) | 10.4153 | n/a | 0.0030\n"
]
}
],
"source": [
"header = \" |\".join([\"{:>17s}\".format(tag) for tag in [\"Method\", \"Value\", \"Standard Error\", \"Actual Error\"]])\n",
"print(\"\")\n",
"print(header)\n",
"print(\"-\" * len(header))\n",
"\n",
"report(\"analytic\", value)\n",
"\n",
"timeSteps = 51\n",
"\n",
"call_option.setPricingEngine(BinomialVanillaEngine(process, \"CRR\", timeSteps))\n",
"report(\"binomial (CRR)\", call_option.NPV())\n",
"\n",
"gridPoints = 50\n",
"\n",
"call_option.setPricingEngine(FDEuropeanEngine(process, timeSteps, gridPoints))\n",
"report(\"finite diff.\", call_option.NPV())\n",
"\n",
"call_option.setPricingEngine(MCEuropeanEngine(process, \"pseudorandom\", timeSteps = 1, requiredTolerance = 0.02))\n",
"report(\"MC (crude)\", call_option.NPV(), call_option.errorEstimate())\n",
"\n",
"call_option.setPricingEngine(MCEuropeanEngine(process, \"lowdiscrepancy\", timeSteps = 1, requiredSamples = 32768))\n",
"report(\"MC (Sobol)\", call_option.NPV())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Bond Prices"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [],
"source": [
"today = Date(17, October, 2016)\n",
"Settings.instance().evaluationDate = today\n",
"\n",
"data = [(2, 0.02), (4, 0.0225), (6, 0.025), (8, 0.0275), (10, 0.03), (12, 0.0325), \n",
" (14, 0.035), (16, 0.0375), (18, 0.04), (20, 0.0425), (22, 0.045), (24, 0.0475),\n",
" (26, 0.05), (28, 0.0525), (30, 0.055)]\n",
"calendar = TARGET()\n",
"settlement = calendar.advance(today, 3, Days)"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [],
"source": [
"quotes = []\n",
"helpers = []\n",
"\n",
"for length, coupon in data:\n",
" \n",
" maturity = calendar.advance(settlement, length, Years)\n",
" schedule = Schedule(settlement, maturity, Period(Annual), calendar,\n",
" ModifiedFollowing, ModifiedFollowing, DateGeneration.Backward, False)\n",
" quote = SimpleQuote(100.0)\n",
" quotes.append(quote)\n",
" helpers.append(FixedRateBondHelper(QuoteHandle(quote), 3, 100.0, schedule, [coupon], \n",
" SimpleDayCounter(), ModifiedFollowing))\n",
" curve = FittedBondDiscountCurve(0, calendar, helpers, SimpleDayCounter(), NelsonSiegelFitting())"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [],
"source": [
"sample_times = np.linspace(0.0, 30.0, 16)\n",
"sample_discounts = [curve.discount(t) for t in sample_times]"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize = (12, 6))\n",
"plt.plot(sample_times, sample_discounts, 'o--')\n",
"plt.title(\"Discount Function Curve of Bond\")\n",
"plt.xlabel(\"Time (years)\")\n",
"plt.ylabel(\"Discount factor\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"105.77449628297312\n"
]
}
],
"source": [
"schedule = Schedule(today, calendar.advance(today, 15, Years), Period(Semiannual), \n",
" calendar, ModifiedFollowing, ModifiedFollowing, DateGeneration.Backward, False)\n",
"bond = FixedRateBond(3, 100.0, schedule, [0.04], Actual360())\n",
"bond.setPricingEngine(DiscountingBondEngine(YieldTermStructureHandle(curve)))\n",
"print(bond.cleanPrice())"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [],
"source": [
"prices = []\n",
"def print_price():\n",
"\tp = bond.cleanPrice()\n",
"\tprices.append(p)\n",
"\tprint(p)\n",
" \n",
"o = Observer(print_price)\n",
"o.registerWith(bond)"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"105.77449628297312\n",
"105.86560422617626\n",
"105.86560422617626\n",
"105.77449630684087\n",
"105.77449630684087\n",
"105.28388408564302\n",
"105.28388408564302\n",
"105.21862882184999\n",
"105.21862882184999\n",
"105.31959062514876\n",
"105.31959062514876\n",
"105.4878665910092\n",
"105.4878665910092\n",
"105.68032097997069\n",
"105.68032097997069\n",
"105.87580392550738\n",
"105.87580392550738\n",
"106.06201665731291\n",
"106.06201665731291\n",
"106.23044639785398\n",
"106.23044639785398\n",
"106.37409239272378\n",
"106.37409239272378\n",
"106.48708827051848\n",
"106.48708827051848\n",
"106.56505211776529\n",
"106.56505211776529\n",
"106.60570731948839\n",
"106.60570731948839\n",
"106.60980201489313\n",
"106.60980201489313\n",
"106.58011180701672\n",
"106.58011180701672\n",
"106.5207067677768\n"
]
}
],
"source": [
"quotes[2].setValue(101.0)\n",
"quotes[2].setValue(100.0)\n",
"\n",
"for q in quotes:\n",
"\tq.setValue(101.0)"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize = (12, 6))\n",
"plt.title(\"Bond Price Curve\")\n",
"plt.xlabel(\"Time in Years\")\n",
"plt.ylabel(\"Bond Price\")\n",
"plt.style.use('seaborn-whitegrid')\n",
"\n",
"unique_prices = prices[::2] + prices[-1::]\n",
"plt.plot(unique_prices, 'o-')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"bond.freeze()\n",
"for q in quotes:\n",
"\tq.setValue(101.5)\n",
"\n",
"bond.unfreeze()"
]
}
],
"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": "3.6.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}