fx-options-pricing-example.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "included-reggae",
   "metadata": {},
   "source": [
    "# Pricing FX options\n",
    "In this notebook I price EURUSD currency options using volatility tracking, riskless yield curve construction, and options pricing code from this package. I ensure that all market and economic data required for pricing is obtained from [FRED](https://fred.stlouisfed.org) and [Yahoo-finance](https://finance.yahoo.com) using [pandas-datareader](https://pydata.github.io/pandas-datareader/). Currency options trade mostly in the over-the-counter market and tend to be European. Exchange-traded currency options are also European and sometimes use the corresponsing maturity FX futures contract\n",
    "\n",
    "This notebook can also be used as a tutorial to using the `pricing.curves`, `pricing.options`, `volatility.parameter_estimators`, and `volatility.volatility_trackers` packages in this repository."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "strange-marsh",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Uncomment if running in Google Colaboratory, otherwise the import of the curves module in the cell below will fail\n",
    "#!git clone -l -s https://github.com/ilchen/options-pricing.git cloned-repo\n",
    "#%cd cloned-repo\n",
    "\n",
    "# Install the latest version of pandas-datareader, yfinance, and pandas-market-calendars\n",
    "# !pip install pandas-datareader -U\n",
    "# !pip install yfinance -U"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "useful-drive",
   "metadata": {},
   "source": [
    "## Constructing a riskless rate curves\n",
    "To price an FX option on a currency pair we need to have two curves one each for each currency. Since I already covered the construcion of riskless rate curves for EUR and USD in separate notebook, I will simply import then. The resultant YieldCurve object is assigned to the curve variable.\n",
    "\n",
    "I prepared two alternative rislless yield curves &mdash; one based on US Treasury Yields (you can use it for pricing options maturing up to 30 years in the future) and another based on AMERIBOR rates (you can use it for pricing options maturing up to 2 years in the future). Using the AMERIBOR curve is more accurate as it delivers riskless rates while using the treasury yield curve delivers riskless yields (which are slightly different especially for longer maturities). Since AMERIBOR term structure is no longer published by the Federal Reserve Bank of St. Louis, it cannot be used anymore unfortunately...\n",
    "\n",
    "### Preparing a riskless rate curve for the Euro"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "complex-drama",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Risless rate curve for EUR\n",
    "%run euro-riskless-rate-curve-construction-example.ipynb\n",
    "curve_euro = curve"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "looking-compatibility",
   "metadata": {},
   "source": [
    "### Preparing a riskless rate curve for the USD"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "angry-profit",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Risless rate curve for USD\n",
    "%run riskless-yield-construction-example.ipynb"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "automated-archive",
   "metadata": {},
   "source": [
    "## Estimating and forecasting volatility of the EURUSD exchange rate\n",
    "Now that the riskless curves have been constructed, the next thing to do is obtain an accurate volatility estimate for the exchange rate whose options we want to price. There are various methods for doing it. The most common are the Exponentially Weighted Moving Average (EWMA) and GARCH(1, 1) methods. You can read about them on the Internet or delve into John C. Hull's [Risk Management and Financial Institutions](http://www-2.rotman.utoronto.ca/~hull/riskman/index.html) or [Options, Futures, and Other Derivatives](http://www-2.rotman.utoronto.ca/~hull/ofod/index.html). For the purposes of pricing options GARCH(1, 1) is preferred because it supports volatility forecasting for future maturities by incorporating mean reversion (and volatility of equities lends itself to mean reversion). In this notebook I therefore use GARCH(1, 1).\n",
    "\n",
    "### GARCH(1, 1)\n",
    "In order to use GARCH(1, 1) one first needs to estimate its parameters based on the historical data for the equity whose options you want to price. GARCH(1, 1) has three parameters &mdash; ω, α, and β. I use the maximum likelihood method to estimate them, which is an optimization task. The `volatility.parameter_estimators.GARCHParameterEstimator` class comes to rescure. _Implementation detail_: In that class I use [SciPy](https://docs.scipy.org/doc/scipy/tutorial/optimize.html) to optimize for maximum likelihood. Alternatively I could've used Google's TensorFlow 2.x.\n",
    "\n",
    "Constraint optimization for three variables is not fast. If you are not content with the speed of `volatility.parameter_estimators.GARCHParameterEstimator`, you can use its `volatility.parameter_estimators.GARCHVarianceTargetingParameterEstimator` counterpart. This latter class is \n",
    "faster because it uses the so-called _variance targeting_ method whereby it sets ω based on the sample variance of price changes. Then it optimises for only two variables instead of three as GARCHParameterEstimator does. It's marginally less accurate.\n",
    "\n",
    "*NB* When estimating ω, α, and β it's vital to use _adjusted closing_ prices, i.e. prices that have been adjusted for dividends and stock splits. Failing to do that will result in too high an estimate. Yahoo Finance provides such prices in the `Adj Close` column.\n",
    "\n",
    "#### Estimating GARCH(1, 1) parameters for EURUSD\n",
    "Since volatility tends to change with time, it's recommended to estimate it based on the most recent 90 or 180 days, or on the same number of days as the duration of the option being priced. In this notebook I use date from the past two years."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "official-national",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[*********************100%%**********************]  1 of 1 completed\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Objective function: 4958.53917 after 110 iterations\n",
      "Optimal values for GARCH(1, 1) parameters:\n",
      "\tω=0.000001185593, α=0.06961, β=0.88949\n"
     ]
    }
   ],
   "source": [
    "# A kludge for pandas-datareader not being able to cope with latest Yahoo-Finance changes\n",
    "import yfinance as yfin\n",
    "yfin.pdr_override()\n",
    "\n",
    "TICKER = 'EURUSD=X'\n",
    "\n",
    "# I'll use price changes over the past two years to estimate GARCH(1, 1) ω, α, and β parameters\n",
    "start = BDay(1).rollback(date.today() - relativedelta(years=+2))\n",
    "data = web.get_data_yahoo(TICKER, start, date.today())\n",
    "asset_prices = data['Adj Close']\n",
    "\n",
    "vol_estimator = parameter_estimators.GARCHParameterEstimator(asset_prices)\n",
    "print('Optimal values for GARCH(1, 1) parameters:\\n\\tω=%.12f, α=%.5f, β=%.5f'\n",
    "      % (vol_estimator.omega, vol_estimator.alpha, vol_estimator.beta))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "external-labor",
   "metadata": {},
   "source": [
    "#### Forecasting volatility for EURUSD\n",
    "Now that we have obtined optimal values for GARCH(1, 1) parameters ω, α, and β, we can proceed to forecast the volatility of the EURUSD exchange rate. I crated class `volatility.parameter_estimators.GARCHVolatilityTracker` to assist in it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "institutional-museum",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Volatility of EURUSD=X for term 0.1612 years: 0.07737\n"
     ]
    }
   ],
   "source": [
    "vol_tracker = volatility_trackers.GARCHVolatilityTracker(vol_estimator.omega, vol_estimator.alpha,\n",
    "                                                         vol_estimator.beta, asset_prices)\n",
    "\n",
    "# Let's get volatility forecast for next June options, i.e. maturity on the 1st Friday of next June\n",
    "from dateutil.relativedelta import FR\n",
    "maturity_date = curve.date + relativedelta(years=0 if curve.date.month < 6 else 1, month=6, day=1, weekday=FR(1))\n",
    "vol = vol_tracker.get_annual_term_volatility_forecast(curve.to_years(maturity_date))\n",
    "print('Volatility of %s for term %.4f years: %.5f' % (TICKER, curve.to_years(maturity_date), vol))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "developmental-cloud",
   "metadata": {},
   "source": [
    "#### Optional: Visualizing historical and future volatility of EURUSD for 200 business days into the future"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "brilliant-corruption",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Skipping the first n days of volatility forecast\n",
    "n_days_to_skip = 10\n",
    "x = vol_tracker.get_dates()[n_days_to_skip:]\n",
    "fig = plt.figure(figsize=(20, 10))\n",
    "ax = fig.add_subplot(1, 1, 1)\n",
    "ax.plot(x, vol_tracker.get_annual_volatilities()[n_days_to_skip:],\n",
    "        label='Historical Annual Volatility (GARCH(1,1) ω=%.5f, α=%.5f, β=%.5f)' \n",
    "            % (vol_estimator.omega, vol_estimator.alpha, vol_estimator.beta),\n",
    "        linewidth=2, color='k')\n",
    "\n",
    "# Forecasting volatility of Apple stock 200 days into the future\n",
    "future_volatilities = vol_tracker.get_annual_volatility_forecast_for_next_n_days(200)\n",
    "ax.plot(future_volatilities.index, future_volatilities, label='Forecast Annual Volatility', linewidth=1, color='k')\n",
    "ax.hlines(vol_tracker.get_annual_long_term_volatility(), xmin=future_volatilities.index[0], xmax=future_volatilities.index[-1],\n",
    "         label=\"Long-term Annual Volatility\", linestyle='--')\n",
    "ax.legend()\n",
    "ax.title.set_text('Historical and future volatility of ' + TICKER)\n",
    "ax.grid(True)\n",
    "x_axis = x.append(future_volatilities.index)\n",
    "ax.set_xticks(x_axis[::36])\n",
    "ax.set_xticklabels(x_axis[::36].strftime('%Y-%m-%d'), rotation=45)\n",
    "ax.yaxis.set_major_formatter(mtick.PercentFormatter(1))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "approximate-communist",
   "metadata": {},
   "source": [
    "#### Optional: Visualizing the volatility term structure of EURUSD for 5 years into the future\n",
    "A very important notion in pricing options is the _volatility term structure_. It defines the relationship between\n",
    "the maturity of options and their volatilities. In other words it defines what the average volatility for a given maturity is forecast to be. Given the mean reverting nature of volatility, volatility for the longer terms trends towards the mean volatility of a given asset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "greenhouse-fundamentals",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from math import floor, ceil\n",
    "\n",
    "terms = [x / 100 for x in range(5, 505, 5)]\n",
    "term_vols = [vol_tracker.get_annual_term_volatility_forecast(term) * 100 for term in terms]\n",
    "series = pd.Series(term_vols, index=terms)\n",
    "\n",
    "ax = series.plot(figsize=(20,10), grid=True, kind='bar', title='Term structure of ' + TICKER + ' volatility')\n",
    "ax.set_ylim(bottom=floor(series.min()), top=ceil(series.max()))\n",
    "ax.yaxis.set_major_formatter(mtick.PercentFormatter())\n",
    "ax.set_ylabel('Annual Volatility')\n",
    "_ = ax.set_xlabel('Terms in years')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "polish-marker",
   "metadata": {},
   "source": [
    "As you can see, compared to equities, exchange rates tend to have lower volatility."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fancy-objective",
   "metadata": {},
   "source": [
    "## Pricing using Black-Scholes-Merton Pricer\n",
    "The Black-Scholes-Merton model can be used to price currency options, given that they are European. In order to price a currency option, we assume a yield q that equals the foreign currency riskfree rate (r<sub>f</sub>) for the maturity date of the option, i.e. q = r<sub>f</sub>. Given that the foreign currency in this notebook is the Euro, we can obtain r<sub>f</sub> using the riskless euro curve we constructed in the beginning of this notebook.\n",
    "\n",
    "Given that currencies are traded around the clock, market makers use calendar days when determining their lifetime. The `pricing.options.BlackScholesMertonPricer` class supports this way of pricing options. It's determined by the `holidays` parameter of its constructor. Not passing a value for this parameter implies calculating the life of he option using the number of calendar days to its expiry and dividing by a value between 365 and 366.\n",
    "\n",
    "Let's put it to use to price an EURUSD call option with a strike of $1.1. In this case the foreign currency is the Euro."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "solved-colombia",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "EURUSD=X EUROPEAN call option with strike 1.1 and maturity 2024-06-07, price: 0.01, σ: 0.0774, Δ: 0.378, Γ: 11.214, ν: 0.165\n"
     ]
    }
   ],
   "source": [
    "strike = 1.1\n",
    "\n",
    "cur_price = asset_prices[-1]\n",
    "q = curve_euro.to_continuous_compounding(curve_euro.get_yield_for_maturity_date(maturity_date))\n",
    "pricer = options.BlackScholesMertonPricer(maturity_date, vol_tracker, strike, curve, cur_price, ticker=TICKER, q=q)\n",
    "print(pricer)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "technical-ultimate",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Price with 4 decimal points: 0.0087\n"
     ]
    }
   ],
   "source": [
    "print('Price with 4 decimal points: {:.4f}'.format(pricer.get_price()))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "weird-sphere",
   "metadata": {},
   "source": [
    "Sometimes you might want to price using _an implied volatility_ for a given expiry date. You get the implied volatilty from the option prices of market makers. The `pricing.options.BlackScholesMertonPricer` class supports this. Just enter the implied volatility value instead of passing it a volatility_tracker object:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "cleared-license",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "EURUSD=X EUROPEAN call option with strike 1.1 and maturity 2024-06-07, price: 0.01, σ: 0.0710, Δ: 0.366, Γ: 12.102, ν: 0.163\n"
     ]
    }
   ],
   "source": [
    "# Pricing with an implied volatility of 7.1%\n",
    "impl_vol = .071\n",
    "pricer = options.BlackScholesMertonPricer(maturity_date, impl_vol, strike, curve, cur_price, ticker=TICKER,\n",
    "                                          q=q)\n",
    "print(pricer)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "baking-convertible",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Price with 4 decimal points: 0.0077\n"
     ]
    }
   ],
   "source": [
    "print('Price with 4 decimal points: {:.4f}'.format(pricer.get_price()))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "broken-reviewer",
   "metadata": {},
   "source": [
    "Let's now price a corresponding put option:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "durable-picnic",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "EURUSD=X EUROPEAN put option with strike 1.1 and maturity 2024-06-07, price: 0.02, σ: 0.0710, Δ: -0.627, Γ: 12.102, ν: 0.163\n"
     ]
    }
   ],
   "source": [
    "put_pricer = options.BlackScholesMertonPricer(maturity_date, impl_vol, strike, curve, cur_price, is_call=False,\n",
    "                                              ticker=TICKER, q=q)\n",
    "print(put_pricer)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "protective-columbia",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Price with 4 decimal points: 0.0185\n"
     ]
    }
   ],
   "source": [
    "print('Price with 4 decimal points: {:.4f}'.format(put_pricer.get_price()))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "sophisticated-small",
   "metadata": {},
   "source": [
    "#### Put-Call Parity\n",
    "An important theoretical property of the price of a European currency option is the so-called put-call parity, which is expressed as:\n",
    "$$c - p = S_0\\cdot e^{-q\\cdot T} - K\\cdot e^{-r\\cdot T}$$\n",
    "where:\n",
    "* c is the price of a European call option\n",
    "* p is the price of the corresponding European put option\n",
    "* S<sub>0</sub> is the present price of the underlying stock\n",
    "* q is the foreign currency riskless rate for the maturity of the option\n",
    "* K is the strike price\n",
    "* T is the liefteime of the option expressed in years\n",
    "* r is the riskless rate for maturity T\n",
    "\n",
    "Let's put it to the test:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "mexican-honolulu",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Put-Call parity: -0.01081456 = -0.01081456\n"
     ]
    }
   ],
   "source": [
    "from math import exp\n",
    "price_difference = pricer.get_price() - put_pricer.get_price()\n",
    "\n",
    "right_hand_side_expr = pricer.s0 * exp(-pricer.q * pricer.T) - pricer.strike * exp(-pricer.r * pricer.T)\n",
    "\n",
    "assert np.allclose(price_difference, right_hand_side_expr, 1e-8)\n",
    "print(f'Put-Call parity: {price_difference:.8f} = {right_hand_side_expr:.8f}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "constitutional-elimination",
   "metadata": {},
   "source": [
    "## Pricing using Pricing using Binomial Tree Pricer\n",
    "The Binomial Tree model can be used to price an arbitrary currency option.\n",
    "\n",
    "Let's put it to use to price the EURUSD call and put option with a strike of 1.1 and compare resulting prices with those obtained from the BlackScholesMertonPricer."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "forward-adelaide",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "EURUSD=X EUROPEAN call option with strike 1.1 and maturity 2024-06-07, price: 0.01, σ: 0.0710, Δ: 0.365, Γ: 12.351, ν: 0.153\n",
      "Price difference between Black-Scholes-Merton and Binomial Treee pricers for calls: 0.000034\n",
      "EURUSD=X EUROPEAN put option with strike 1.1 and maturity 2024-06-07, price: 0.02, σ: 0.0710, Δ: -0.629, Γ: 12.351, ν: 0.153\n",
      "Price difference between Black-Scholes-Merton and Binomial Treee pricers for puts: 0.000034\n"
     ]
    }
   ],
   "source": [
    "bin_tree_pricer = options.BinomialTreePricer(maturity_date, impl_vol, strike, curve, cur_price, ticker=TICKER,\n",
    "                                             q=q)\n",
    "print(bin_tree_pricer)\n",
    "print('Price difference between Black-Scholes-Merton and Binomial Treee pricers for calls: %.6f'\n",
    "      % abs(pricer.get_price() - bin_tree_pricer.get_price()))\n",
    "\n",
    "bin_tree_put_pricer = options.BinomialTreePricer(maturity_date, impl_vol, strike, curve, cur_price, is_call=False,\n",
    "                                                 ticker=TICKER, q=q)\n",
    "print(bin_tree_put_pricer)\n",
    "print('Price difference between Black-Scholes-Merton and Binomial Treee pricers for puts: %.6f'\n",
    "      % abs(put_pricer.get_price() - bin_tree_put_pricer.get_price()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "combined-cylinder",
   "metadata": {},
   "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": "3.9.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}