{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Hedging with Black-Scholes" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from hestonpy.models.blackScholes import BlackScholes\n", "\n", "import pandas as pd\n", "dates = pd.date_range(start=\"2025-01-01\", end=\"2025-07-01\", freq=\"D\")\n", "\n", "nbr_simulations = 1000\n", "nbr_hedges = len(dates)-1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Replication errors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sanity check of the replication" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "real_vol = 0.15\n", "hedging_vol = 0.15\n", "\n", "bs = BlackScholes(\n", " spot=100, r=0.01, mu=0.05, volatility=real_vol)\n", "strike = 110\n", "\n", "res = bs.delta_hedging(\n", " flag_option=\"call\",\n", " time_to_maturity=1,\n", " strike=strike,\n", " hedging_volatility=hedging_vol,\n", " pricing_volatility=hedging_vol,\n", " nbr_simulations=nbr_simulations,\n", " nbr_hedges=nbr_hedges,\n", ")\n", "\n", "portfolio = res[0]\n", "S = res[1]\n", "\n", "ST = S[:, -1]\n", "VT = portfolio[:, -1]\n", "\n", "plt.figure(figsize=(5, 5))\n", "plt.title(\"Payoff replication\")\n", "plt.grid(linestyle=\"--\", dashes=(5, 10), color=\"gray\", linewidth=0.5)\n", "plt.minorticks_on()\n", "plt.xlabel(r\"$S_T$\")\n", "plt.ylabel(\"payoff\")\n", "plt.scatter(ST, VT, s=0.8, color=\"red\")\n", "x = np.linspace(min(ST), max(ST))\n", "payoff = np.maximum(0, x - strike)\n", "plt.plot(x, payoff, color=\"blue\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sanity check of the replicationCheck the replication errors" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.stats import norm\n", "\n", "cash_flows = np.maximum(0, ST - strike)\n", "hedging_errors = VT - cash_flows\n", "\n", "hedging_errors = np.sort(hedging_errors)\n", "VaR95_index = int(0.05 * len(hedging_errors))\n", "VaR95 = hedging_errors[VaR95_index]\n", "CVaR95 = np.mean(hedging_errors[:VaR95_index])\n", "\n", "plt.figure()\n", "\n", "plt.title(\"Hedging with \" + r\"$\\sigma_{iv} = $\" + str(hedging_vol))\n", "plt.hist(hedging_errors, bins=\"fd\", density=True)\n", "\n", "plt.axvline(VaR95, color='red', label=r'$VaR_{95\\%}$', linestyle=\"dotted\",alpha=0.8)\n", "plt.axvline(CVaR95, color='red', label=r'$CVaR_{95\\%}$', linestyle=\"--\", alpha=0.8)\n", "\n", "x = np.linspace(start=min(hedging_errors), stop=max(hedging_errors), num=100)\n", "plt.plot(\n", " x,\n", " norm.pdf(x, loc=np.mean(hedging_errors), scale=np.std(hedging_errors)),\n", " label=\"Normal density\",\n", ")\n", "plt.grid(linestyle=\"--\", dashes=(5, 10), color=\"gray\", linewidth=0.5)\n", "plt.minorticks_on()\n", "plt.xlabel(r\"Hedging errors: $V_T - (S_T - K)^+$\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks like the hedging errors are fat tailed fat tailed" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Hedging with different volatilities" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We analyse what is happening when we hedge with different volatilities (w.r.t to the pricing volatilities)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "implied_volatility = 0.15\n", "hedging_vols = [0.10, 0.15, 0.20]\n", "\n", "bs = BlackScholes(spot=100, r=0.00, mu=0.00, volatility=implied_volatility)\n", "strike = 100\n", "nbr_simulations = 100000\n", "\n", "fig, axes = plt.subplots(1, 3, figsize=(15, 5), sharey=True)\n", "for i, vol in enumerate(hedging_vols):\n", " res = bs.delta_hedging(\n", " flag_option=\"call\",\n", " time_to_maturity=1,\n", " strike=strike,\n", " hedging_volatility=vol,\n", " nbr_simulations=nbr_simulations,\n", " nbr_hedges=nbr_hedges,\n", " )\n", "\n", " portfolio = res[0]\n", " S = res[1]\n", "\n", " ST = S[:, -1]\n", " VT = portfolio[:, -1]\n", "\n", " cash_flows = np.maximum(0, ST - strike)\n", " hedging_errors = VT - cash_flows\n", "\n", " hedging_errors = np.sort(hedging_errors)\n", " VaR95_index = int(0.05 * len(hedging_errors))\n", " VaR95 = hedging_errors[VaR95_index]\n", " CVaR95 = np.mean(hedging_errors[:VaR95_index])\n", "\n", " axes[i].set_title(\"Hedging with \" + r\"$\\sigma_{h} = $\" + str(vol))\n", " axes[i].hist(hedging_errors, bins=\"fd\", density=True, color=\"gray\", alpha=0.8)\n", " axes[i].axvline(np.mean(hedging_errors), color=\"black\", label=\"mean\", alpha=0.8)\n", " axes[i].axvline(VaR95, color='red', label=r'$VaR_{95\\%}$', linestyle=\"dotted\",alpha=0.8)\n", " axes[i].axvline(CVaR95, color='red', label=r'$CVaR_{95\\%}$', linestyle=\"--\", alpha=0.8)\n", "\n", " x = np.linspace(start=min(hedging_errors), stop=max(hedging_errors), num=100)\n", " axes[i].plot(\n", " x,\n", " norm.pdf(x, loc=np.mean(hedging_errors), scale=np.std(hedging_errors)),\n", " label=\"normal density\",\n", " color=\"blue\",\n", " )\n", " axes[i].grid(linestyle=\"--\", dashes=(5, 10), color=\"gray\", linewidth=0.5)\n", " axes[i].minorticks_on()\n", " axes[i].set_xlabel(r\"Hedging errors: $V_T - (S_T - K)^+$\")\n", " axes[i].legend()\n", "\n", "plt.suptitle(\n", " r\"Priced with implied volatility $\\sigma_{iv} =$\" + str(implied_volatility)\n", ")\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Hedging at different frequencies" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We analyse what is happening when we hedge daily, monthly or yearly" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "implied_volatility = 0.15\n", "bs = BlackScholes(spot=100, r=0.00, mu=0.00, volatility=implied_volatility)\n", "strike = 100\n", "\n", "daily_dates = pd.date_range(start=\"2025-01-01\", end=\"2025-07-01\", freq=\"D\")\n", "monthly_dates = pd.date_range(start=\"2025-01-01\", end=\"2025-07-01\", freq=\"ME\")\n", "yearly_dates = [daily_dates[0]]\n", "\n", "fig, axes = plt.subplots(1, 3, figsize=(15, 5), sharey=True)\n", "for i, dates in enumerate([daily_dates, monthly_dates, yearly_dates]):\n", " res = bs.delta_hedging(\n", " flag_option=\"call\",\n", " time_to_maturity=0.5,\n", " strike=strike,\n", " hedging_volatility=implied_volatility,\n", " nbr_simulations=nbr_simulations,\n", " nbr_hedges=len(dates),\n", " )\n", "\n", " portfolio = res[0]\n", " S = res[1]\n", "\n", " ST = S[:, -1]\n", " VT = portfolio[:, -1]\n", "\n", " cash_flows = np.maximum(0, ST - strike)\n", " hedging_errors = VT - cash_flows\n", "\n", " hedging_errors = np.sort(hedging_errors)\n", "\n", " axes[i].hist(hedging_errors, bins=\"fd\", density=True, color=\"gray\", alpha=0.8)\n", " axes[i].axvline(np.mean(hedging_errors), color=\"black\", label=\"mean\", alpha=0.8)\n", "\n", " x = np.linspace(start=min(hedging_errors), stop=max(hedging_errors), num=100)\n", " axes[i].plot(\n", " x,\n", " norm.pdf(x, loc=np.mean(hedging_errors), scale=np.std(hedging_errors)),\n", " label=\"normal density\",\n", " color=\"blue\",\n", " )\n", " axes[i].grid(linestyle=\"--\", dashes=(5, 10), color=\"gray\", linewidth=0.5)\n", " axes[i].minorticks_on()\n", " axes[i].set_xlabel(r\"Hedging errors: $V_T - (S_T - K)^+$\")\n", " axes[i].legend()\n", "\n", "plt.suptitle(\"Delta hedging with different frequency (daily, monthly and yearly)\")\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Hedging with a misspecified model\n", "\n", "Since the market does not have perfect knowledge about the future actual and implied volatilities can and will be different.\n", "\n", "Imagine that we have a forecast for volatility over the remaining life of an option, this volatility is forecast to be constant, and further assume that our forecast turns out to be correct. We shall buy an underpriced option and delta hedge to expiry.But which delta do you choose? Delta based on actual or implied volatility?\n", "\n", "- **Scenario**: Implied volatility for an option is 20%, but we believe that actual volatility is 30%. \n", "- **Question**: How can we make money if our forecast is correct? \n", "- **Answer**: Buy the option and delta hedge. \n", "But which delta do we use?" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "np.random.seed(42)\n", "\n", "# Model parameters\n", "S0 = 100\n", "mu = 0.00\n", "r = 0.00\n", "time_to_maturity = 1\n", "stirke = 100\n", "\n", "real_volatility = 0.30\n", "implied_volatility = 0.20\n", "model = BlackScholes(spot=100, r=r, mu=mu, volatility=real_volatility)\n", "\n", "portfolio_iv, _ = model.volatility_arbitrage(\n", " pricing_volatility=implied_volatility,\n", " hedging_volatility=implied_volatility,\n", " strike=strike,\n", " time_to_maturity=time_to_maturity,\n", " flag_option=\"call\",\n", " nbr_hedges=nbr_hedges,\n", " nbr_simulations=nbr_simulations,\n", ")\n", "\n", "portfolio_real, _ = model.volatility_arbitrage(\n", " pricing_volatility=implied_volatility,\n", " hedging_volatility=real_volatility,\n", " strike=strike,\n", " time_to_maturity=time_to_maturity,\n", " flag_option=\"call\",\n", " nbr_hedges=nbr_hedges,\n", " nbr_simulations=nbr_simulations,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the porfolio path simulations" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "number_plots = 15 # must be < nPaths\n", "\n", "# Plotting results\n", "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 6), sharey=True)\n", "\n", "time_points = np.linspace(0, 1, nbr_hedges + 1)\n", "\n", "# Hedging with actual volatility\n", "ax1.set_title(\n", " \"Hedging with implied volatility \" + r\"$\\sigma_{iv} =$ \" + str(implied_volatility)\n", ")\n", "for i in range(number_plots):\n", " ax1.plot(\n", " time_points, portfolio_iv[i, :], color=\"blue\", linewidth=0.8\n", " ) # Add transparency for better readability\n", "ax1.grid(linestyle=\"--\", dashes=(5, 10), color=\"gray\", linewidth=0.5)\n", "ax1.minorticks_on()\n", "ax1.set_xlabel(\"time\")\n", "ax1.set_ylabel(\"Cumulative PnL\")\n", "\n", "# Hedging with implied volatility\n", "ax2.set_title(\n", " \"Hedging with actual volatility \" + r\"$\\sigma_{real} =$ \" + str(real_volatility)\n", ")\n", "for i in range(number_plots):\n", " ax2.plot(\n", " time_points, portfolio_real[i, :], color=\"black\", linewidth=0.8\n", " ) # Add transparency for better readability\n", "ax2.grid(linestyle=\"--\", dashes=(5, 10), color=\"gray\", linewidth=0.5)\n", "ax2.minorticks_on()\n", "ax2.set_xlabel(\"time\")\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the distribution of the portfolio returns" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(8, 5), sharey=True)\n", "\n", "\n", "ax1.set_title(\n", " \"Hedging with implied volatility \" + r\"$\\sigma_{iv} =$ \" + str(implied_volatility)\n", ")\n", "\n", "final_pnl_iv = portfolio_iv[:, -1]\n", "final_pnl_iv = np.sort(final_pnl_iv)\n", "VaR95_index = int(0.05 * len(final_pnl_iv))\n", "VaR95 = final_pnl_iv[VaR95_index]\n", "CVaR95 = np.mean(final_pnl_iv[:VaR95_index])\n", "\n", "ax1.axvline(np.mean(final_pnl_iv), color=\"black\", label=\"mean\", alpha=0.8)\n", "ax1.axvline(VaR95, color='red', label=r'$VaR_{95\\%}$', linestyle=\"dotted\",alpha=0.8)\n", "ax1.axvline(CVaR95, color='red', label=r'$CVaR_{95\\%}$', linestyle=\"--\", alpha=0.8)\n", "\n", "ax1.hist(final_pnl_iv, bins=\"fd\", density=True, color=\"gray\", alpha=0.8)\n", "ax1.grid(linestyle=\"--\", dashes=(5, 10), color=\"gray\", linewidth=0.5)\n", "ax1.minorticks_on()\n", "ax1.set_xlabel(\"$PnL_T$\")\n", "\n", "\n", "\n", "ax2.set_title(\n", " \"Hedging with actual volatility \" + r\"$\\sigma_{real} =$ \" + str(real_volatility)\n", ")\n", "\n", "final_pnl_actual = portfolio_real[:, -1]\n", "final_pnl_actual = np.sort(final_pnl_actual)\n", "VaR95_index = int(0.05 * len(final_pnl_actual))\n", "VaR95 = final_pnl_actual[VaR95_index]\n", "CVaR95 = np.mean(final_pnl_actual[:VaR95_index])\n", "\n", "ax2.axvline(np.mean(final_pnl_actual), color=\"black\", label=\"mean\", alpha=0.8)\n", "ax2.axvline(VaR95, color='red', label=r'$VaR_{95\\%}$', linestyle=\"dotted\",alpha=0.8)\n", "ax2.axvline(CVaR95, color='red', label=r'$CVaR_{95\\%}$', linestyle=\"--\", alpha=0.8)\n", "\n", "ax2.hist(final_pnl_actual, bins=\"fd\", density=True, color=\"gray\", alpha=0.8)\n", "ax2.grid(linestyle=\"--\", dashes=(5, 10), color=\"gray\", linewidth=0.5)\n", "ax2.minorticks_on()\n", "ax2.set_xlabel(\"$PnL_T$\")\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Some statistics about the two portfolio" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Experiment 1 (blue) - Hedging with implied volatility:\n", " Mean PnL(T): 3.96\n", " Std Dev PnL(T): 1.99\n", " Pathwise Quadratic Variation: 1.13\n", "\n", "Experiment 2 (black) - Hedging with actual/forecasted volatility:\n", " Mean PnL(T): 3.96\n", " Std Dev PnL(T): 0.78\n", " Pathwise Quadratic Variation: 4.23\n", "\n" ] } ], "source": [ "# Statistics\n", "\n", "# Hedging with implied volatility\n", "final_pnl = portfolio_iv[:, -1]\n", "mean_pnl = np.mean(final_pnl)\n", "std_pnl = np.std(final_pnl)\n", "pathwise_var = np.mean([np.sum(np.diff(portfolio_iv[i]) ** 2) for i in range(nbr_simulations)])\n", "\n", "print(f\"Experiment 1 (blue) - Hedging with implied volatility:\")\n", "print(f\" Mean PnL(T): {mean_pnl:.2f}\")\n", "print(f\" Std Dev PnL(T): {std_pnl:.2f}\")\n", "print(f\" Pathwise Quadratic Variation: {pathwise_var:.2f}\\n\")\n", "\n", "# Hedging with actual/forecasted volatility\n", "final_pnl = portfolio_real[:, -1]\n", "mean_pnl = np.mean(final_pnl)\n", "std_pnl = np.std(final_pnl)\n", "pathwise_var = np.mean([np.sum(np.diff(portfolio_real[i]) ** 2) for i in range(nbr_simulations)])\n", "\n", "print(f\"Experiment 2 (black) - Hedging with actual/forecasted volatility:\")\n", "print(f\" Mean PnL(T): {mean_pnl:.2f}\")\n", "print(f\" Std Dev PnL(T): {std_pnl:.2f}\")\n", "print(f\" Pathwise Quadratic Variation: {pathwise_var:.2f}\\n\")" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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": "3.10.16" } }, "nbformat": 4, "nbformat_minor": 4 }