{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Bond Survival Curve" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import sys\n", "import datetime\n", "import matplotlib.pyplot as plt\n", "from finpricing.model import BondCurveAnalyticsHelper, BondCurveSolver, cds_market_spreads\n", "from finpricing.market import SurvivalCurveStep, SurvivalCurveNelsonSiegel\n", "from finpricing.utils import Date, prettyTableByColumn\n", "import finpricing.utils.instaplot as isplt\n", "# this assumes this notebook is running in the /docs folder and the data is in the /tests folder\n", "sys.path.append(r'../tests')\n", "from testing_utils.read_data import get_sample_bonds_portfolio, get_sample_discount_curve" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Read Reference and Market Data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We pick 10 bonds from the same issuer on 2023-10-09, and fix all the market data accordingly." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "bonds, dirty_prices, balance = get_sample_bonds_portfolio(include_balance=True)\n", "discount_curve = get_sample_discount_curve()\n", "valuation_date = datetime.date(2023, 10, 9)\n", "settlement_date = datetime.date(2023, 10, 11)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "+-----------------+--------------------+\n", "| Bond | Dirty Price |\n", "+-----------------+--------------------+\n", "| 5.750% 03/01/24 | 100.62719107573301 |\n", "| 5.875% 02/15/25 | 102.85712222222223 |\n", "| 3.625% 06/15/25 | 97.45796188119483 |\n", "| 3.625% 06/15/25 | 97.45796188119483 |\n", "| 4.375% 11/15/26 | 97.87555555555555 |\n", "| 4.875% 04/15/28 | 98.73763333333333 |\n", "| 5.875% 11/15/28 | 102.61128888888888 |\n", "| 6.375% 05/15/29 | 104.84126718711933 |\n", "| 5.375% 11/15/29 | 98.47593444444445 |\n", "| 4.875% 06/15/30 | 95.09173333333334 |\n", "+-----------------+--------------------+\n" ] } ], "source": [ "prettyTableByColumn(\n", " {\n", " 'Bond': bonds,\n", " 'Dirty Price': dirty_prices\n", " },\n", " align='lr'\n", ")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "isplt.plot(x=discount_curve.dates,\n", " y=discount_curve.rates,\n", " title=\"Zero Curve on 2023-10-09\",\n", " x_label=\"Maturity\",\n", " y_label=\"Zero Rate\",\n", " y_axis_formatter=\"percent\",\n", " linestyle='-',\n", " marker='.')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dfs = [ discount_curve.discount(date) for date in discount_curve.dates ]\n", "isplt.plot(x=discount_curve.dates,\n", " y=dfs,\n", " title=\"Discounting Factors on 2023-10-09 using Flat Forward\",\n", " x_label=\"Maturity\",\n", " y_label=\"Discounting Factor\",\n", " linestyle='-',\n", " marker='.')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bond Basis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Bond basis is the additional spread to add on top of the discount curve to match the marked price of the bond. Bond basis can be a large topic, and can be calibrated on top of discount curve, or on top of a survival curve. Here, we assume this spread is added on top of the discount curve. Two special cases are worth mentioning,\n", "\n", "1. In absence of recovery and survival probability, the bond basis is the same as Z-spread.\n", "2. Theoretically, a \"perfect\" recovery curve and survival curve should make the bond basis equal to zero, if all credit risks are priced in." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Z-Spread\n", "\n", "As mentioned, while calibrating Z-Spread, recovery rate and survival curve are not included, so we set them both to zeros. The `BondCurveAnalyticsHelper` creates a portfolio of bonds making easier to analyze the basket." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "analyticsHelper = BondCurveAnalyticsHelper(bonds)\n", "analyticsHelper.setup(\n", " settlement_dates=settlement_date,\n", " discount_curves=discount_curve,\n", " recovery_rates=0.,\n", " survival_curves=SurvivalCurveStep(anchor_date=valuation_date,\n", " dates = [valuation_date],\n", " hazard_rates=[0.],),\n", ")\n", "zspreads = analyticsHelper.get_bond_bases(\n", " valuation_date=valuation_date,\n", " dirty_prices=dirty_prices,\n", ")" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "+---------+-----------------+----------------+\n", "| Numnber | Bond | Z-Spread (bps) |\n", "+---------+-----------------+----------------+\n", "| 1 | 5.750% 03/01/24 | 0.2011% |\n", "| 2 | 5.875% 02/15/25 | 0.5341% |\n", "| 3 | 3.625% 06/15/25 | 0.7554% |\n", "| 4 | 3.625% 06/15/25 | 0.7554% |\n", "| 5 | 4.375% 11/15/26 | 0.8962% |\n", "| 6 | 4.875% 04/15/28 | 1.0160% |\n", "| 7 | 5.875% 11/15/28 | 1.0303% |\n", "| 8 | 6.375% 05/15/29 | 1.0973% |\n", "| 9 | 5.375% 11/15/29 | 1.2124% |\n", "| 10 | 4.875% 06/15/30 | 1.2557% |\n", "+---------+-----------------+----------------+\n" ] } ], "source": [ "prettyTableByColumn(\n", " {\n", " 'Numnber': range(1, len(bonds)+1),\n", " 'Bond': bonds,\n", " 'Z-Spread (bps)': (zspreads, '.4%')\n", " },\n", " align='llr'\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bond Issuer Curve: Nelson Siegel Svensson Form" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The bond issuer curve, is essentially a survival curve calibrated from portfolio of bonds from the same issuer. When survival curve is constructed \"perfectly\", the model price of the bond should match the market price, as it shou reflect the credit risks of the issuer on any time horizon.\n", "\n", "The Nelson Siegel Svensson form is a parametric form of the survival curve, and therefore can be calibrated.\n", "\n", "The calibration of the bond issuer curve will search the best parameters for the NS curve that minimizes the overall unexplained error between the model price and the market price for the portfolio of bonds. Bond basis, in this case, is the \"error\" term." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "# modify the recovery rate and survival curve for analyticsHelper\n", "analyticsHelper.recovery_rates = 0.4\n", "analyticsHelper.survival_curves = SurvivalCurveNelsonSiegel(\n", " anchor_date=valuation_date,\n", " pivot_dates=[datetime.date(2025, 6, 15), datetime.date(2029, 5, 15)],\n", ")\n", "analyticsHelper.valuation_date = valuation_date\n", "\n", "# build the solver\n", "bondCurveSolver = BondCurveSolver(bondAnalyticsHelper=analyticsHelper)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 9.22536681e-05, -6.83825154e-02, 5.67154784e-02])" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "optimal_survival_params = bondCurveSolver.solve(\n", " dirty_prices=dirty_prices,\n", ")\n", "optimal_survival_params" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plug in the calibrated optimal parameters into the NS curve, and check the unexplained error (bond basis) for each bond. Below chart shows a very good fit, the bond bases are all close to zero and evenly distributed." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "optimal_survival_curve = SurvivalCurveNelsonSiegel(\n", " anchor_date=valuation_date,\n", " pivot_dates=[datetime.date(2025, 6, 15), datetime.date(2029, 5, 15)],\n", " params=optimal_survival_params,\n", ")\n", "analyticsHelper.survival_curves = optimal_survival_curve\n", "residuals = analyticsHelper.get_bond_bases(\n", " dirty_prices=dirty_prices,\n", ")" ] }, { "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": [ "isplt.scatter(\n", " x = [x.maturity_date._date for x in bonds],\n", " y = residuals,\n", " y_axis_formatter=\"percent\",\n", " title = \"Bond Bases (Residuals) After Calibration\",\n", " x_label = \"Maturity\",\n", " y_label = \"Bond Basis\",\n", " s = [ b / 2e6 for b in balance ],\n", " alpha = 0.8,\n", " label = \"Bonds\",\n", " legend = True,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bond Curve Par Spreads" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With the calibrated continous survival curve, we can calculate the par spreads for sythetic CDSs with various maturities. And, ideally, these par spreads should be comparable to the CDS par spreads on the market." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "tenors = [\"3m\", \"6m\", \"9m\", \"1y\", \"18m\", \"2y\", \"3y\", \"4y\", \"5y\", \"7y\", \"10y\", \"15y\", \"20y\", \"30y\"]\n", "expiries = [Date(2023, 12, 20).add_tenor(tenor)._date for tenor in tenors]\n", "\n", "par_spreads = cds_market_spreads(\n", " discount_curve=discount_curve,\n", " survival_curve=optimal_survival_curve,\n", " recovery_rate=0.4,\n", " expiries=expiries,\n", " cds_style=\"CORP_NA\",\n", " granularity=14,\n", ")" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "isplt.plot(\n", " x = tenors,\n", " y = par_spreads,\n", " title = \"CDS Par Spreads from Bond Curve\",\n", " x_label = \"Maturity\",\n", " y_label = \"Par Spread\",\n", " y_axis_formatter=\"bps\",\n", " x_tick_labels = tenors,\n", ")" ] } ], "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": "3.9.18" } }, "nbformat": 4, "nbformat_minor": 2 }