fx-options-pricing-example.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "changing-sheriff",
   "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": "awful-alabama",
   "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 eurostat -U\n",
    "# !pip install yfinance -U"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "nearby-arcade",
   "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 notebooks, I will simply import them (along with all imports this notebook requires). 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": "legal-acting",
   "metadata": {},
   "outputs": [
    {
     "data": {
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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": "remarkable-technique",
   "metadata": {},
   "source": [
    "### Preparing a riskless rate curve for the USD"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "demographic-filling",
   "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": "naval-drive",
   "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": "ordinary-avenue",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Objective function: 5006.10729 after 106 iterations\n",
      "Optimal values for GARCH(1, 1) parameters:\n",
      "\tω=0.000004684300, α=0.13010, β=0.68578\n"
     ]
    }
   ],
   "source": [
    "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 = yfin.Ticker(TICKER).history(start=start, end=date.today(), actions=False, auto_adjust=False)\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": "rubber-internship",
   "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 created class `volatility.parameter_estimators.GARCHVolatilityTracker` to assist in it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "mighty-killing",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Volatility of EURUSD=X for term 0.8932 years: 0.07997\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": "limiting-worship",
   "metadata": {},
   "source": [
    "#### Optional: Visualizing historical and future volatility of EURUSD for 200 business days into the future"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "hired-harbor",
   "metadata": {},
   "outputs": [
    {
     "data": {
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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": "crazy-style",
   "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": "opponent-blood",
   "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": "transparent-harris",
   "metadata": {},
   "source": [
    "As you can see, compared to equities, exchange rates tend to have lower volatility."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "moving-supervision",
   "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": "underlying-lithuania",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "EURUSD=X EUROPEAN call option with strike 1.1 and maturity 2025-06-06, price: 0.04, σ: 0.0800, Δ: 0.537, Γ: 4.661, ν: 0.396\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": "lucky-channels",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Price with 4 decimal points: 0.0358\n"
     ]
    }
   ],
   "source": [
    "print('Price with 4 decimal points: {:.4f}'.format(pricer.get_price()))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "prescribed-plate",
   "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": "elegant-puppy",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "EURUSD=X EUROPEAN call option with strike 1.1 and maturity 2025-06-06, price: 0.03, σ: 0.0710, Δ: 0.540, Γ: 5.245, ν: 0.396\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": "potential-tender",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Price with 4 decimal points: 0.0322\n"
     ]
    }
   ],
   "source": [
    "print('Price with 4 decimal points: {:.4f}'.format(pricer.get_price()))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "social-memory",
   "metadata": {},
   "source": [
    "Let's now price a corresponding put option:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "liked-continuity",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "EURUSD=X EUROPEAN put option with strike 1.1 and maturity 2025-06-06, price: 0.02, σ: 0.0710, Δ: -0.432, Γ: 5.245, ν: 0.396\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": "absent-indonesia",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Price with 4 decimal points: 0.0246\n"
     ]
    }
   ],
   "source": [
    "print('Price with 4 decimal points: {:.4f}'.format(put_pricer.get_price()))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "differential-northwest",
   "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": "joined-frederick",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Put-Call parity: 0.00759537 = 0.00759537\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": "danish-technical",
   "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": "fresh-delay",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "EURUSD=X EUROPEAN call option with strike 1.1 and maturity 2025-06-06, price: 0.03, σ: 0.0710, Δ: 0.539, Γ: 5.335, ν: 0.395\n",
      "Price difference between Black-Scholes-Merton and Binomial Treee pricers for calls: 0.000177\n",
      "EURUSD=X EUROPEAN put option with strike 1.1 and maturity 2025-06-06, price: 0.02, σ: 0.0710, Δ: -0.434, Γ: 5.335, ν: 0.395\n",
      "Price difference between Black-Scholes-Merton and Binomial Treee pricers for puts: 0.000177\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": "other-geology",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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