{ "cells": [ { "cell_type": "markdown", "id": "otherwise-romance", "metadata": {}, "source": [ "## Loan Pricing ##\n", "
\n", "\n", "Pricing of a loan, just like any other product, is influenced by both the cost to produce and the market.\n", "\n", "

\n", "\n", "And so there are two methods to deriving an interest rate for a loan:\n", "\n", "1. Capital-Driven:\n", " + what interest rate is required to justify the allocation of capital?\n", "\n", "2. Market-Driven:\n", " + what rate is implied in the market?\n", " + derived from various market-related exposures\n", " \n", "The two methods are *not* exclusive. Fico should consider both approaches when loan pricing as circumstances may reveal information:\n", "\n", "

\n", "\n", "$\\text{Market-Driven Rate} >>> \\text{Capital Driven Rate}$\n", "\n", "+ Fico either has some competitive advantage *or* it is underpricing risk\n", "\n", "

\n", "\n", "$\\text{Capital Driven Rate} >>> \\text{Market-Driven Rate}$\n", "\n", "+ Fico has a competitive disadvantage *or* it is overpricing risk\n", "\n", "

\n", "

" ] }, { "cell_type": "markdown", "id": "cooked-shopping", "metadata": {}, "source": [ "### Capital Driven ###\n", "\n", "+ Loan income is compared to a *hurdle rate*, which can be set as the Weighted Average Cost of Capital (WACC) for the company/investor/project.\n", "\n", "$$\n", "\\text{WACC} = r_{tgt} = w_{debt}*r_{debt} + w_{equity}*r_{equity} \n", "$$\n", "$\\qquad\\qquad\\qquad\\qquad\\qquad\\textit{where:}$\n", "$$\n", "\\\\w_{debt} = \\frac{D}{D+E}\n", "$$\n", "\n", "$\\qquad$or simply as the cost of equity, to take the investor perspective:\n", " \n", "$$ r_{tgt} = r_{equity} $$\n", "\n", "$\\qquad$ The hurdle rate may also be set relative to other investment opportunities (and thereby seen as an opportunity cost).\n", "\n", "

\n", "\n", "+ The interest rate required *for an individual loan* to meet the hurdle rate is:\n", "\n", "$$\n", "\\begin{alignat*}{0}\n", "\\qquad\\text{int}_i = \\frac{r_{tgt}*(D_i+E_i) + exp_i}{EAD_i}\n", "\\\\\\textit{where:}\n", "\\\\\\qquad exp_i = \\text{expected losses + non-recovery related expenses like salaries, taxes, etc.}\n", "\\\\\\qquad D_i, E_i = \\text{debt and equity contribution required for the individual loan}\n", "\\\\\\qquad D_i + E_i = EAD_i\n", "\\end{alignat*}\n", "$$\n", "\n" ] }, { "cell_type": "markdown", "id": "elementary-expression", "metadata": {}, "source": [ "**Equity Only**\n", "\n", "We will estimate pricing for loans where Fico is funded entirely by equity.\n", "\n", "

\n", "\n", "Assume:\n", "\n", "+ $r_{tgt} = .12$\n", "+ $exp_i = EL_i$ i.e. Fico has no expenses save for loan losses\n", "+ Supported entirely by equity capital\n", "\n", "For this exercise, we created a new portfolio via the approach in [loss models](loss.ipynb) with the following properties:" ] }, { "cell_type": "code", "execution_count": 11, "id": "illegal-novelty", "metadata": { "nbsphinx": "hidden" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The autoreload extension is already loaded. To reload it, use:\n", " %reload_ext autoreload\n" ] } ], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", "\n", "import warnings\n", "import matplotlib.pyplot as plt\n", "from matplotlib.dates import YearLocator, DateFormatter\n", "from matplotlib.ticker import FuncFormatter\n", "from IPython.core.display import display, HTML, Markdown\n", "from IPython.display import Image\n", "\n", "import dataframe_image as dfi\n", "\n", "import sys\n", "sys.path.append('..')\n", "from htsfi.main import *\n", "\n", "update_style()\n", "plt.style.use('htsfi')" ] }, { "cell_type": "code", "execution_count": 12, "id": "gorgeous-subject", "metadata": { "tags": [ "hide_input" ] }, "outputs": [ { "data": { "text/markdown": [ "+ Number of Loans: 20\n", "\n", "+ Total Outstanding: $2,000,000\n", "\n", "+ Expected Loss: $21,076.89\n", "\n", "+ Required Equity (99.95% VaR): $281,538.97\n", "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with warnings.catch_warnings():\n", " warnings.filterwarnings(\"ignore\")\n", " \n", " from htsfi.sims.pricing import *\n", "\n", "md = f'+ Number of Loans: {n}'\n", "md += '\\n\\n'\n", "md += f'+ Total Outstanding: ${EAD.sum():,.0f}'\n", "md += '\\n\\n'\n", "md += f'+ Expected Loss: ${ld.mean():,.2f}'\n", "md += '\\n\\n'\n", "md += f'+ Required Equity (99.95% VaR): ${econ_cap:,.2f}'\n", "md += '\\n\\n'\n", "\n", "display(Markdown(md))" ] }, { "cell_type": "markdown", "id": "complimentary-restaurant", "metadata": {}, "source": [ "

\n", "\n", "With that portfolio distribution, we now want to consider how to price 3 loans in the portfolio. The loans have details as follows:" ] }, { "cell_type": "code", "execution_count": 13, "id": "excellent-holly", "metadata": { "tags": [ "hide_input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Loan Portfolio\n", "n = 3\n", "loans_t = 5*10**5\n", "randloans = np.random.uniform(0.1,1,n)\n", "loan_ead = (randloans / randloans.sum())*loans_t\n", "w = loan_ead / loan_ead.sum()\n", "\n", "# PD for each borrower/loan.\n", "pd_mu = 0.0044\n", "pd_std = 0.002\n", "p_of_d = np.random.normal(pd_mu, pd_std, n)\n", "count, bins = np.histogram(p_of_d, bins=PDs)\n", "binned = np.digitize(p_of_d, bins)\n", "rats = np.array(SPs)[binned]\n", "\n", "p_of_d = np.where(p_of_d<0, 0, p_of_d)\n", "\n", "pd_var = bern.var(p_of_d) # PD for each individual loan is bernoulli distributed and has its own variance.\n", "\n", "# LGD\n", "lgd_mu = .4\n", "lgd_std = .4\n", "\n", "a, b = beta_params_from_descript(lgd_mu, lgd_std**2)\n", "lgd_freeze = beta(a, b)\n", "lgd = lgd_freeze.rvs(size=n)\n", "\n", "lgd_var = np.repeat(lgd.var(), n)\n", "\n", "el = loan_ead*p_of_d*lgd\n", "ul = loan_ul(loan_ead, p_of_d, lgd, pd_var, lgd_var)\n", "\n", "# Convert HTML table to DataFrame\n", "data = {\n", " 'Amount': loan_ead,\n", " 'Probability of Default (PD)': p_of_d,\n", " 'S&P Rating': rats,\n", " 'Loss Given Default (LGD)': lgd,\n", " 'σ²_PD': pd_var,\n", " 'σ²_LGD': lgd_var, \n", " 'Expected Loss (EL)': el,\n", " 'Unexpected Loss (UL)': ul\n", "}\n", "\n", "df = pd.DataFrame(data)\n", "df.index = [f'Loan {i+1}' for i in range(n)]\n", "\n", "# Format the columns\n", "df['Amount'] = df['Amount'].map('${:,.2f}'.format)\n", "df['Probability of Default (PD)'] = df['Probability of Default (PD)'].map('{:.2%}'.format)\n", "df['Loss Given Default (LGD)'] = df['Loss Given Default (LGD)'].map('{:.2%}'.format)\n", "df['σ²_PD'] = df['σ²_PD'].map('{:.2%}'.format)\n", "df['σ²_LGD'] = df['σ²_LGD'].map('{:.2%}'.format)\n", "df['Expected Loss (EL)'] = df['Expected Loss (EL)'].map('{:,.2f}'.format)\n", "df['Unexpected Loss (UL)'] = df['Unexpected Loss (UL)'].map('{:,.2f}'.format)\n", "\n", "# Save as PNG using dataframe_image\n", "await dfi.export_async(df.T, '_static/pricing_3_loan_portfolio_table.png')\n", "Image(filename='_static/pricing_3_loan_portfolio_table.png')" ] }, { "cell_type": "markdown", "id": "certified-daisy", "metadata": {}, "source": [ "We can do quick math on each loan to find the interest rate required to meet hurdle:" ] }, { "cell_type": "code", "execution_count": 14, "id": "signal-collins", "metadata": {}, "outputs": [], "source": [ "def calc_ret(rev, exp, cap):\n", " return (rev - exp) / cap\n", "\n", "def int_to_make_hurdle(exp, loan, equity, hurdle):\n", " return (hurdle*equity + exp) / loan\n", "\n", "hurdle = .12\n", "exp = el\n", "\n", "debt = 0\n", "equity = loan_ead\n", "req_int = int_to_make_hurdle(exp, loan_ead, equity, hurdle)" ] }, { "cell_type": "code", "execution_count": 15, "id": "joint-backing", "metadata": { "scrolled": true, "tags": [ "hide_input" ] }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "loan_metrics_df = pd.DataFrame({\n", " 'Amount': loan_ead,\n", " 'Probability of Default (PD)': p_of_d,\n", " 'Loss Given Default (LGD)': lgd,\n", " 'Expected Loss (EL)': el,\n", " 'Required Interest Rate': req_int\n", "})\n", "\n", "# Add loan numbers as column names\n", "loan_metrics_df.index = [f'Loan {i+1}' for i in range(n)]\n", "loan_metrics_df = loan_metrics_df.style.format({\n", " 'Amount': '{:,.2f}',\n", " 'Probability of Default (PD)': '{:.2%}',\n", " 'Loss Given Default (LGD)': '{:.2%}',\n", " 'Expected Loss (EL)': '{:,.2f}',\n", " 'Required Interest Rate': '{:.2%}'\n", "})\n", "await dfi.export_async(loan_metrics_df, '_static/pricing_3_loan_metrics_table.png')\n", "Image(filename='_static/pricing_3_loan_metrics_table.png')" ] }, { "cell_type": "markdown", "id": "artistic-footage", "metadata": {}, "source": [ "Unsurprisingly, even the lowest risk loan requires at least 12% interest rate. This is way above market for these types of loans.\n", "\n", "

\n", "\n", "Leverage can be utilized to lower the hurdle rate.\n", "\n", "

\n", "\n", "**Mix of Debt and Equity**\n", "\n", "To show how we can incorporate leverage, we modify our assumptions. For each loan, we will assume that we only need to hold the UL for each loan as equity. The rest of Fico's capital will be debt, borrowed at 3%.\n", "\n", "

\n", "\n", "Assume:\n", "\n", "+ $r_{tgt} = .12$\n", "+ $E_i = UL_i$\n", "+ $D_i = EAD_i - E_i$\n", "+ $exp_i = EL_i + D_i*r_{debt}$\n", "+ $r_{debt} = .03$" ] }, { "cell_type": "code", "execution_count": 16, "id": "surrounded-professional", "metadata": {}, "outputs": [], "source": [ "equity = ul\n", "debt = loan_ead - equity\n", "\n", "cost_of_debt = .03\n", "int_on_debt = debt * cost_of_debt\n", "exp = el + int_on_debt\n", "\n", "req_int = int_to_make_hurdle(exp, loan_ead, equity, hurdle)" ] }, { "cell_type": "code", "execution_count": 17, "id": "later-approval", "metadata": { "tags": [ "hide_input" ] }, "outputs": [], "source": [ "# Create a pandas DataFrame from the loan data\n", "data = {\n", " 'Amount': loan_ead,\n", " 'Probability of Default (PD)': p_of_d,\n", " 'Loss Given Default (LGD)': lgd, \n", " 'Expected Loss (EL)': el,\n", " 'Required Interest Rate': req_int\n", "}\n", "\n", "df_loan_metrics_w_leverage = pd.DataFrame(data)\n", "df_loan_metrics_w_leverage.index = [f'Loan {i+1}' for i in range(n)]\n" ] }, { "cell_type": "code", "execution_count": 18, "id": "f2436f6f", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Amount Probability of Default (PD) Loss Given Default (LGD) Expected Loss (EL) Required Interest Rate
Loan 1182,384.610.39%99.94%717.874.01%
Loan 2111,538.420.75%12.04%101.013.53%
Loan 3206,076.970.42%0.04%0.333.26%
" ], "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_loan_metrics_w_leverage.style.format({\n", " 'Amount': '{:,.2f}',\n", " 'Probability of Default (PD)': '{:.2%}',\n", " 'Loss Given Default (LGD)': '{:.2%}',\n", " 'Expected Loss (EL)': '{:,.2f}',\n", " 'Required Interest Rate': '{:.2%}'\n", "})" ] }, { "cell_type": "code", "execution_count": 19, "id": "30077be3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\n", "await dfi.export_async(df_loan_metrics_w_leverage.style.format({\n", " 'Amount': '{:,.2f}',\n", " 'Probability of Default (PD)': '{:.2%}',\n", " 'Loss Given Default (LGD)': '{:.2%}',\n", " 'Expected Loss (EL)': '{:,.2f}',\n", " 'Required Interest Rate': '{:.2%}'\n", "}), '_static/pricing_3_loan_metrics_table_w_leverage.png')\n", "\n", "Image(filename='_static/pricing_3_loan_metrics_table_w_leverage.png')" ] }, { "cell_type": "markdown", "id": "supposed-titanium", "metadata": {}, "source": [ "We can see how the mix of debt and equity has helped to improve loan pricing, which should make Fico more competitive in the market place.\n", "\n", "

\n" ] }, { "cell_type": "markdown", "id": "recreational-april", "metadata": {}, "source": [ "### Market Driven ###\n", "\n", "Interest rates charged on government bonds, corporate debt, or any other loan are generally understood to be derived from the following components:\n", "\n", "1. Real risk-free rate\n", " + generalyl understood to be a function of the \"inherent\" time value of money, which requires an incentive to delay consumption.\n", " + I actually believe it has more to do with increasing real consumption; my working theory is the real risk-free is the value-add created by increasing consumption.\n", "2. Inflation premium\n", "3. Liquidity premium\n", " + understood as relative cost to sell the debt\n", " + smaller amounts, poorer credit risks, less desirable jurisdictions, lower coupons\n", "4. Credit Risk premium\n", "5. Margin\n", " + in an efficient bond market, pricing theory dictates that there would be not \"profit\" to the holder (or the issuer).\n", " + but as a service provider, margin can be incorporated\n", "\n", "These factors are observable, although every borrower / loan has its unique qualities that will alter the components slightly from observable values.\n", "\n", "So all-in rate derived as:\n", "\n", "$$r + r_{inf} + r_{lqd} + r_{cred} + r_{prof}$$" ] }, { "cell_type": "markdown", "id": "engaging-angle", "metadata": {}, "source": [ "We can infer the components from available market data, such as this chart of corporate bond yields." ] }, { "cell_type": "code", "execution_count": 20, "id": "sized-nicaragua", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "yields = get_yields()\n", "ax = yields.plot(figsize=(10,6))\n", "\n", "ax.xaxis.set_major_formatter(DateFormatter('%Y'))\n", "ax.tick_params('x', labelrotation=0)\n", "\n", "for label in ax.get_xticklabels():\n", " label.set_horizontalalignment('center')\n", " \n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 21, "id": "attended-department", "metadata": {}, "outputs": [], "source": [ "infsers = ['DGS10', 'DFII10', 'T10YIE']\n", "frames = [framer(ser) for ser in infsers]\n", "\n", "infs = frames[0]\n", "for f in frames[1:]:\n", " infs = infs.merge(f, on='Date')\n", "infs = infs.set_index('Date')\n", "\n", "infs = infs.apply(numeric_coerce)\n", "infs.columns = ['US10', 'US10-R', 'Inf10-E']\n", "infs /= 100" ] }, { "cell_type": "code", "execution_count": 22, "id": "piano-copper", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = infs.plot(figsize=(10,6))\n", "\n", "ax.xaxis.set_major_formatter(DateFormatter('%Y'))\n", "ax.tick_params('x', labelrotation=0)\n", "\n", "for label in ax.get_xticklabels():\n", " label.set_horizontalalignment('center')\n", " \n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 23, "id": "strange-battlefield", "metadata": {}, "outputs": [], "source": [ "us, real, inf = infs.iloc[-1].to_list()" ] }, { "cell_type": "code", "execution_count": 24, "id": "charitable-williams", "metadata": { "tags": [ "hide_input" ] }, "outputs": [ { "data": { "text/markdown": [ "$r + r_{inf}$ = 2.11% + 2.23% = 4.34%\n", "\n", "US 10 Year = 4.34%" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "text = r'$r + r_{inf}$' + f' = {real:.2%} + {inf:.2%}' + f' = {real+inf:.2%}'\n", "text += '\\n\\n'\n", "text += f'US 10 Year = {us:.2%}'\n", "display(Markdown(text))" ] }, { "cell_type": "code", "execution_count": 25, "id": "ancient-louisiana", "metadata": {}, "outputs": [], "source": [ "aaa = yields.AAA.iloc[-1]\n", "lqd = aaa - us" ] }, { "cell_type": "code", "execution_count": 26, "id": "rising-gathering", "metadata": { "tags": [ "hide_input" ] }, "outputs": [ { "data": { "text/markdown": [ "AAA Corp = 4.78%\n", "\n", "$r_{lqd} = r_{aaa} - r - r_{inf}$ = 4.78% 2.11% - 2.23% = 0.44%" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "text = f'AAA Corp = {aaa:.2%}'\n", "text += '\\n\\n'\n", "text += r'$r_{lqd} = r_{aaa} - r - r_{inf}$' + f' = {aaa:.2%} {real:.2%} - {inf:.2%} = {lqd:.2%}'\n", "display(Markdown(text))" ] }, { "cell_type": "code", "execution_count": 27, "id": "premium-messenger", "metadata": {}, "outputs": [], "source": [ "bbb = yields.BBB.iloc[-1]\n", "cred = bbb - aaa" ] }, { "cell_type": "code", "execution_count": 28, "id": "serial-apparatus", "metadata": { "tags": [ "hide_input" ] }, "outputs": [ { "data": { "text/markdown": [ "BBB Corp = 5.60%\n", "\n", "$r_{cred} = r_{bbb} - r - r_{inf} - r_{lqd}$ = 5.60% - 2.11% - 2.23% - 0.44%= 0.82%" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "text = f'BBB Corp = {bbb:.2%}'\n", "text += '\\n\\n'\n", "text += r'$r_{cred} = r_{bbb} - r - r_{inf} - r_{lqd}$' + f' = {bbb:.2%} - {real:.2%} - {inf:.2%} - {lqd:.2%}= {cred:.2%}'\n", "display(Markdown(text))" ] }, { "cell_type": "code", "execution_count": 29, "id": "particular-south", "metadata": { "tags": [ "hide_input" ] }, "outputs": [ { "data": { "text/markdown": [ "$r + r_{inf} + r_{lqd} + r_{cred}$\n", "\n", " = 2.11% + 2.23% + 0.44% + 0.82%\n", "\n", " = 5.60%" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "text = r'$r + r_{inf} + r_{lqd} + r_{cred}$'\n", "text += '\\n\\n'\n", "text += f' = {real:.2%} + {inf:.2%} + {lqd:.2%} + {cred:.2%}'\n", "text += '\\n\\n'\n", "text += f' = {bbb:.2%}'\n", "display(Markdown(text))" ] } ], "metadata": { "celltoolbar": "Edit 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": "3.8.20" } }, "nbformat": 4, "nbformat_minor": 5 }