{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import seaborn as sns\n", "\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### System timeline\n", " - initial raise\n", " - hatch sale\n", " - reference implementation launch" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Augumented bonding curve Mathematics\n", "\n", "### Hatch Sale Equations\n", "\n", "- Initial Raise $d_0$ Dai\n", "- Initial Reserve is $R_0 = (1-\\theta) d_0$\n", "- Hatch sale Price $p_0$ (dai per token) determines the initial supply: $S_0 = d_0/p_0$\n", "- Power Function Invariant shape: $V(R, S) = \\frac{S^\\kappa}{R}$\n", "- Price function (DAI per Token): $P(R) = \\frac{\\kappa R^{(\\kappa-1)/ \\kappa}}{V_0^{1 / \\kappa}}$\n", "- Supply function (tokens): $S(R) = \\sqrt[\\kappa]{V_0 R}$\n", "- Reserve function (xDAI): $R(S) = \\frac{S^{\\kappa}}{V_0} $\n", "- The invariant coef: $V_0 = V(R_0, S_0) = \\frac{S_0^\\kappa}{R_0} = \\left(\\frac{1}{p_0(1-\\theta)}\\right)^\\kappa R_0^{\\kappa-1}$\n", "- The post hatch price: $p_1=P(R_0) = \\frac{\\kappa R_0^{(\\kappa-1)/ \\kappa}}{V_0^{1 / \\kappa}} = \\kappa R_0^{(\\kappa-1)/ \\kappa} \\cdot(1-\\theta)p_0\\cdot R_0^{-(\\kappa-1)/\\kappa} = \\kappa(1-\\theta) p_0$\n", "- The Return factor: $\\frac{p_1}{p_0} = {\\kappa}(1-\\theta)$\n", "\n", "### Invariant Preserving Deposit-to-Mint\n", " - Deposit $\\Delta R$ xdai \n", " - Conservation equation: $V(R+ \\Delta R, S+\\Delta S) = \\frac{(S+\\Delta S)^\\kappa}{R+\\Delta R} =V_0$\n", " - Derived Mint equation: $\\Delta S = mint\\big(\\Delta R ; (R,S)\\big)= \\sqrt[\\kappa]{V_0(R+\\Delta R)}-S$\n", " - Realized Price is: $\\bar{P}(\\Delta R) =\\frac{\\Delta R}{\\Delta S} = \\frac{\\Delta R}{\\sqrt[\\kappa]{V_0(R+\\Delta R)}-\\sqrt[\\kappa]{V_0(R)}} \\rightarrow \\big(\\frac{\\partial S(R)}{\\partial R} \\big)^{-1}$ as $\\Delta R \\rightarrow 0$\n", " - The limiting price is the spot price: $\\lim_{\\Delta R \\rightarrow 0} \\bar{P}(\\Delta R)=\\big(\\frac{\\partial S(R)}{\\partial R}\\big)^{-1}= \\big(\\frac{V_0^{1/\\kappa} \\cdot R^{1/\\kappa-1}}{\\kappa}\\big)^{-1}= \\frac{\\kappa R^{1-1/\\kappa}}{V_0^{1/\\kappa}} = \\frac{\\kappa R^{(\\kappa-1)/\\kappa}}{V_0^{1/\\kappa}} =P(R)$\n", " \n", "### Invariant Preserving Burn-to-Withdraw\n", " - Burn $\\Delta S$ tokens\n", " - Conservation equation: $V(R- \\Delta R, S-\\Delta S) = \\frac{(S-\\Delta S)^\\kappa}{R-\\Delta R} =V_0$\n", " - Derived Withdraw equation: $\\Delta R = withdraw\\big(\\Delta S ; (R,S)\\big)= R-\\frac{(S-\\Delta S)^\\kappa}{V_0}$\n", " - Realized Price is: $\\bar{P}(\\Delta S) =\\frac{\\Delta R}{\\Delta S} = \\frac{\\frac{S^{\\kappa}}{V_0}-\\frac{(S-\\Delta S)^\\kappa}{V_0}}{\\Delta S} \\rightarrow \\frac{\\partial R(S)}{\\partial S} $ as $\\Delta S \\rightarrow 0$\n", " - The limiting price is the spot price: $\\lim_{\\Delta S \\rightarrow 0} \\bar{P}(\\Delta S)=\\frac{\\partial R(S)}{\\partial S}=\\frac{\\kappa S^{\\kappa-1}}{V_0} = \\frac{\\kappa \\cdot (\\sqrt[\\kappa]{V_0 R})^{\\kappa-1}}{V_0}= \\frac{\\kappa R^{(\\kappa-1)/\\kappa}}{V_0^{1/\\kappa}}=P(R)$\n", " - Given friction coef $\\phi$ \n", " - sent to burning agent address: $\\Delta R_{agent} = (1-\\phi) \\Delta R$\n", " - sent to the funding pool address: $\\Delta R_{pool} = \\phi \\Delta R$\n", " - due to the friction the true realized price for the agent is $(1-\\phi)\\cdot \\bar{P}(\\Delta S)$\n", " - due to the friction the true return factor post withdraw is: ${\\kappa}(1-\\theta)(1-\\phi)$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "#integer_units = 10**12 #account for decimal places to a token\n", "#scale_units = 10**6 #millions of tokens, million of DAI\n", "#mu = integer_units*scale_units\n", "\n", "#value function for a given state (R,S)\n", "def invariant(R,S,kappa):\n", " return (S**kappa)/R\n", "\n", "#given a value function (parameterized by kappa)\n", "#and an invariant coeficient V0\n", "#return Supply S as a function of reserve R\n", "def supply(R, kappa, V0):\n", " return (V0*R)**(1/kappa)\n", "\n", "#given a value function (parameterized by kappa)\n", "#and an invariant coeficient V0\n", "#return a spot price P as a function of reserve R\n", "def spot_price(R, kappa, V0):\n", " return kappa*R**((kappa-1)/kappa)/V0**(1/kappa)\n", "\n", "#for a given state (R,S)\n", "#given a value function (parameterized by kappa)\n", "#and an invariant coeficient V0\n", "#deposit deltaR to Mint deltaS\n", "#with realized price deltaR/deltaS\n", "def mint(deltaR, R,S, kappa, V0):\n", " deltaS = (V0*(R+deltaR))**(1/kappa)-S\n", " realized_price = deltaR/deltaS\n", " return deltaS, realized_price\n", "\n", "#for a given state (R,S)\n", "#given a value function (parameterized by kappa)\n", "#and an invariant coeficient V0\n", "#burn deltaS to Withdraw deltaR\n", "#with realized price deltaR/deltaS\n", "def withdraw(deltaS, R,S, kappa, V0):\n", " deltaR = R-((S-deltaS)**kappa)/V0\n", " realized_price = deltaR/deltaS\n", " return deltaR, realized_price" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10,4))\n", "X= np.arange(0,12, .01)\n", "vals = [1-1/2**x for x in X]\n", "\n", "vals3 = [1/2**x for x in X]\n", "ax.plot(X,vals, X, vals3)\n", "plt.xlabel('months')\n", "plt.ylabel('percent vested')\n", "plt.title('Vesting Schdule with 1 month vesting \"Half-Life\"')\n", "plt.legend([\"Share of hatch tokens Vested\", \"Share of Hatch tokens Locked\"])\n", "plt.vlines(3,0,1, linestyle ='-.')\n", "plt.text(3.2,.85, str(int(1000*7/8)/10)+ \"% of tokens vested after 3 months\" )\n", "plt.scatter(3,7/8)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2458.387573380661" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "10*10**6*vals3[-1]" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "d0 = 1 #million DAI\n", "p0 = .01 #DAI per tokens\n", "theta = .25\n", "\n", "R0 = d0*(1-theta) #million DAI\n", "S0 = d0/p0\n", "\n", "kappa = 2\n", "V0 = invariant(R0,S0,kappa)\n", "\n", "reserve = np.arange(0,10,.01)\n", "supp = np.array([supply(r,kappa, V0) for r in reserve])\n", "price = np.array([spot_price(r,kappa, V0) for r in reserve])\n", "\n", "fig, ax1 = plt.subplots(figsize=(10,3))\n", "\n", "color = 'tab:red'\n", "ax1.set_xlabel('Reserve (Millions)')\n", "ax1.set_ylabel('Supply (Millions)', color=color)\n", "ax1.plot(reserve, supp,'-', color=color)\n", "ax1.tick_params(axis='y', labelcolor=color)\n", "\n", "ax2 = ax1.twinx() # instantiate a second axes that shares the same x-axis\n", "\n", "color = 'tab:blue'\n", "ax2.set_ylabel('Price in Reserve per Token', color=color) # we already handled the x-label with ax1\n", "ax2.plot(reserve, price,'-.', color=color)\n", "ax2.tick_params(axis='y', labelcolor=color)\n", "\n", "ax1.vlines(R0,0,S0, alpha=.5)\n", "ax1.scatter(R0,S0, color='red', marker='D')\n", "# ax1.text(R0+.02*reserve[-1], .9*supp[-1], \"Initial Value R0=\"+str(int(100*R0)/100)+\" million Reserve Units\")\n", "# ax1.text(R0+.02*reserve[-1], .70*supp[-1], \"Initial Value S0=\"+str(S0)+\" million Tokens\")\n", "ax1.text(-.4, .9*supp[-1], \"Initial Values: R0=\"+str(int(100*R0)/100)+\" million Reserve Units\")\n", "ax1.text(-.4, .80*supp[-1], \"S0=\"+str(S0)+\" million Tokens\")\n", "\n", "#ax1.hlines(S0,0,R0)\n", "\n", "# ax2.text(R0+.02*reserve[-1], price[25], \"Initial Value P0=\"+str(spot_price(R0,kappa,V0)))\n", "# ax2.text(R0+.02*reserve[-1], price[25]/10, \"where P_hatch=\"+str(p0))\n", "ax2.text(R0+.04*reserve[-1], price[25], \"P0=\"+str(spot_price(R0,kappa,V0))+\" where P_hatch=\"+str(p0))\n", "ax2.scatter(R0,spot_price(R0,kappa,V0), color=color)\n", "\n", "plt.title('Augmented Bonding Curve with Invariant V = S^'+str(kappa)+'/R')\n", "fig.tight_layout() # otherwise the right y-label is slightly clipped\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.015" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "spot_price(R0,kappa,V0)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax1 = plt.subplots()\n", "\n", "cp = 100\n", "color = 'tab:red'\n", "ax1.set_xlabel('Supply (Millions of Tokens)')\n", "ax1.set_ylabel('Reserve (Millions of Reserve)', color=color)\n", "ax1.plot(supp[cp:], reserve[cp:],'--', color=color)\n", "ax1.tick_params(axis='y', labelcolor=color)\n", "\n", "ax2 = ax1.twinx() # instantiate a second axes that shares the same x-axis\n", "\n", "color = 'tab:blue'\n", "ax2.set_ylabel('Price in xDAI per Token', color=color) # we already handled the x-label with ax1\n", "ax2.plot(supp[cp:], price[cp:],'-.', color=color)\n", "ax2.tick_params(axis='y', labelcolor=color)\n", "\n", "ax1.vlines(S0,0,reserve[-1], alpha=.5)\n", "ax1.text(S0*1.02, reserve[-1], \"Initial Value S0=\"+str(int(100*S0)/100)+\" mil tokens\")\n", "ax1.text(S0*1.02, .95*reserve[-1], \"Initial Value R0=\"+str(R0)+\" mil Reserve\")\n", "#ax1.hlines(S0,0,R0)\n", "\n", "ax2.text(S0*1.02, price[3], \"Initial Value P0=\"+str(int(100*spot_price(R0,kappa,V0))/100))\n", "\n", "\n", "plt.title('Augmented Bonding Curve with Invariant S^'+str(kappa)+'/R')\n", "fig.tight_layout() # otherwise the right y-label is slightly clipped\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax1 = plt.subplots()\n", "\n", "cp = 100\n", "color = 'tab:red'\n", "ax1.set_xlabel('Supply (Millions of Tokens)')\n", "ax1.set_ylabel('Reserve (Millions of Reserve)', color=color)\n", "ax1.plot(supp[cp:], reserve[cp:],'--', color=color)\n", "ax1.tick_params(axis='y', labelcolor=color)\n", "\n", "ax2 = ax1.twinx() # instantiate a second axes that shares the same x-axis\n", "\n", "color = 'tab:blue'\n", "ax2.set_ylabel('Price in Reserve per Token', color=color) # we already handled the x-label with ax1\n", "ax2.plot(supp[cp:], price[cp:],'-.', color=color)\n", "ax2.tick_params(axis='y', labelcolor=color)\n", "\n", "ax1.vlines(S0,0,reserve[-1], alpha=.5)\n", "ax1.text(S0*1.02, reserve[-1], \"Initial Value S=\"+str(int(100*S0)/100)+\" mil tokens\")\n", "ax1.text(S0*1.02, .95*reserve[-1], \"Initial Value R=\"+str(R0)+\" mil Reserve\")\n", "#ax1.hlines(S0,0,R0)\n", "\n", "ax2.text(S0*1.02, price[3], \"Initial Value P0=\"+str(int(100*spot_price(R0,kappa,V0))/100))\n", "\n", "\n", "plt.title('Augmented Bonding Curve with Invariant S^'+str(kappa)+'/R')\n", "fig.tight_layout() # otherwise the right y-label is slightly clipped\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "#given V0 and kappa\n", "#sweep the reserve\n", "reserve = None\n", "reserve = np.arange(.01,100,.01)\n", "price = np.array([spot_price(r,kappa, V0) for r in reserve])\n", "\n", "#realized price for withdrawing burning .1% of tokens\n", "withdraw_price=[withdraw(supply(r,kappa,V0)/1000, r,supply(r,kappa,V0), kappa, V0)[1] for r in reserve]\n", "\n", "#realized price for depositing .1% more Xdai into the reserve\n", "mint_price=[mint(r/1000, r, supply(r,kappa,V0), kappa, V0)[1] for r in reserve]" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "#from IPython.display import Image\n", "#Image(filename='slippage.jpeg')" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "pdf = pd.DataFrame({'reserve':reserve, 'spot_price':price, '.1% mint_price':mint_price,'.1% withdraw_price':withdraw_price })" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pdf.plot(x='reserve')" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "pdf['mint_slippage'] = (pdf['.1% mint_price']-pdf['spot_price'])/pdf['spot_price']\n", "pdf['withdraw_slippage'] = (pdf['spot_price']-pdf['.1% withdraw_price'])/pdf['spot_price']" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/anaconda3/lib/python3.6/site-packages/pandas/plotting/_core.py:1716: UserWarning: Pandas doesn't allow columns to be created via a new attribute name - see https://pandas.pydata.org/pandas-docs/stable/indexing.html#attribute-access\n", " series.name = label\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pdf.plot(x='reserve', y = ['mint_slippage', 'withdraw_slippage'])#, logy=True)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "#given V0 and kappa\n", "R = 20\n", "S = supply(R,kappa,V0)\n", "p = spot_price(R,kappa,V0)\n", "#sweep the transaction fraction\n", "TXF = np.logspace(-6, 0, num=1000)\n", "\n", "#realized price for withdrawing burning .1% of tokens\n", "withdraw_price2=[withdraw(S*txf, R,S, kappa, V0)[1] for txf in TXF]\n", "\n", "#realized price for depositing .1% more Xdai into the reserve\n", "mint_price2=[mint(R*txf, R,S, kappa, V0)[1] for txf in TXF]" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "516.3977794943223\n" ] } ], "source": [ "print(S)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "pdf2 = pd.DataFrame({'tx_fraction':TXF, 'spot_price':p*np.ones(len(TXF)), 'mint_price':mint_price2,'withdraw_price':withdraw_price2 })" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/anaconda3/lib/python3.6/site-packages/pandas/plotting/_core.py:1716: UserWarning: Pandas doesn't allow columns to be created via a new attribute name - see https://pandas.pydata.org/pandas-docs/stable/indexing.html#attribute-access\n", " series.name = label\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pdf2.plot(x='tx_fraction',y=['mint_price','withdraw_price','spot_price'], logx=True)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "pdf2['bond_to_mint_slippage'] = (pdf2['mint_price']-pdf2['spot_price'])/pdf2['spot_price']\n", "pdf2['burn_to_withdraw_slippage'] = (pdf2['spot_price']-pdf2['withdraw_price'])/pdf2['spot_price']" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/anaconda3/lib/python3.6/site-packages/pandas/plotting/_core.py:1716: UserWarning: Pandas doesn't allow columns to be created via a new attribute name - see https://pandas.pydata.org/pandas-docs/stable/indexing.html#attribute-access\n", " series.name = label\n" ] }, { "data": { "text/plain": [ "Text(0.5,0,'Transaction size as percent of the asset Burned or Bonded\\nnormalizd units: bonded/Reserve, burned/Supply')" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10,3))\n", "pdf2.plot(x='tx_fraction', y = ['bond_to_mint_slippage', 'burn_to_withdraw_slippage'], logx=True, logy=True, ax=ax)\n", "plt.title(\"Friction for Bond and Withdraw accounting Without Exit Tax\")\n", "plt.ylabel(\"\"\"Percentage Change:\n", "Realized Price\n", "Relative to Spot Price\"\"\")\n", "plt.yticks([10**k for k in range(-6,1)])\n", "plt.xlabel(\"\"\"Transaction size as percent of the asset Burned or Bonded\n", "normalizd units: bonded/Reserve, burned/Supply\"\"\")" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "tax = .02\n", "pdf2['burn_to_withdraw_slippage_with_tax'] = pdf2['burn_to_withdraw_slippage']+tax" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/anaconda3/lib/python3.6/site-packages/pandas/plotting/_core.py:1716: UserWarning: Pandas doesn't allow columns to be created via a new attribute name - see https://pandas.pydata.org/pandas-docs/stable/indexing.html#attribute-access\n", " series.name = label\n" ] }, { "data": { "text/plain": [ "Text(0.5,0,'Transaction size as percent of the asset Burned or Bonded\\nnormalizd units: bonded/Reserve, burned/Supply')" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10,3))\n", "pdf2.plot(x='tx_fraction', y = ['bond_to_mint_slippage', 'burn_to_withdraw_slippage_with_tax'], logx=True, logy=True, ax=ax)\n", "plt.title(\"Friction for Bond and Withdraw accounting for Exit Tax\")\n", "plt.ylabel(\"\"\"Percentage Change:\n", "Realized Price\n", "Relative to Spot Price\"\"\")\n", "plt.yticks([10**k for k in range(-6,1)])\n", "plt.xlabel(\"\"\"Transaction size as percent of the asset Burned or Bonded\n", "normalizd units: bonded/Reserve, burned/Supply\"\"\")" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Kappa_List = [2,4,6,8]\n", "for kappa in Kappa_List:\n", " \n", " V0 = invariant(R0,S0,kappa)\n", " \n", " reserve = np.arange(0,100,.01)\n", " supp = np.array([supply(r,kappa, V0) for r in reserve])\n", " price = np.array([spot_price(r,kappa, V0) for r in reserve])\n", "\n", " fig, ax1 = plt.subplots(figsize=(10,3))\n", "\n", " color = 'tab:red'\n", " ax1.set_xlabel('Reserve (Millions of xDAI)')\n", " ax1.set_ylabel('Supply (Millions of Tokens)', color=color)\n", " ax1.plot(reserve, supp,'--', color=color)\n", " ax1.tick_params(axis='y', labelcolor=color)\n", "\n", " ax2 = ax1.twinx() # instantiate a second axes that shares the same x-axis\n", "\n", " color = 'tab:blue'\n", " ax2.set_ylabel('Price in xDAI per Token', color=color) # we already handled the x-label with ax1\n", " ax2.plot(reserve, price,'-.', color=color)\n", " ax2.tick_params(axis='y', labelcolor=color)\n", "\n", " ax1.vlines(R0,0,supp[-1], alpha=.5)\n", " ax1.text(R0+.02*reserve[-1], supp[-1], \"Initial Value R=\"+str(int(100*R0)/100)+\" mil xDAI\")\n", " ax1.text(R0+.02*reserve[-1], .95*supp[-1], \"Initial Value S=\"+str(int(100*S0)/100)+\" mil Tokens\")\n", " #ax1.hlines(S0,0,R0)\n", "\n", " ax2.text(R0+.02*reserve[-1], price[3], \"Initial Value p1=\"+str(int(1000*spot_price(R0,kappa,V0))/1000))\n", "\n", "\n", " plt.title('Augmented Bonding Curve with Invariant S^'+str(kappa)+'/R')\n", " fig.tight_layout() # otherwise the right y-label is slightly clipped\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [], "source": [ "#Power function independent variables for analysis\n", "vec_d0 = np.arange(2.5,5.1,.1) #millon dai\n", "vec_theta = np.arange(.1,.55,.05) #unitless\n", "mat_R0 = np.outer(vec_d0.T, (1-vec_theta)) #million dai\n", "vec_p0 = np.arange(.01,.11,.01) #dai per token\n", "mat_S0 = np.outer(vec_d0.T, vec_p0) #milion tokens\n", "vec_kappa = np.arange(4,1,-1) #integer\n", "\n", "mat_return_ratio = np.outer(vec_kappa.T, (1-vec_theta))" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[3.6 , 3.4 , 3.2 , 3. , 2.8 , 2.6 , 2.4 , 2.2 , 2. ],\n", " [2.7 , 2.55, 2.4 , 2.25, 2.1 , 1.95, 1.8 , 1.65, 1.5 ],\n", " [1.8 , 1.7 , 1.6 , 1.5 , 1.4 , 1.3 , 1.2 , 1.1 , 1. ]])" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mat_return_ratio" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'Hatch Return Rate: Rho')" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p0_lab = [str(int(100*p)/100) for p in vec_p0] \n", "th_lab = [str(int(100*th)/100) for th in vec_theta]\n", "k_lab = [str(k) for k in vec_kappa] \n", "fig, ax = plt.subplots(figsize=(10,2)) \n", "sns.heatmap(mat_return_ratio,xticklabels=th_lab, yticklabels=k_lab, annot=True, annot_kws={\"size\": 20},ax=ax)\n", "plt.yticks(rotation=0)\n", "plt.ylabel('Invariant Power: Kappa')\n", "plt.xlabel('Funding Pool Fraction: Theta')\n", "plt.title('Hatch Return Rate: Rho')\n" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'Funding Pool Funds at Launch (Millions of xDAI)')" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "d_lab = [str(int(100*d)/100) for d in vec_d0] \n", "sns.heatmap(vec_d0-mat_R0.T,yticklabels=th_lab, xticklabels=d_lab)#, annot=True)\n", "plt.yticks(rotation=0)\n", "\n", "plt.xlabel('Initial Fundraise: d0 (Millions of xDAI)')\n", "plt.ylabel('Funding Pool Fraction: Theta')\n", "plt.title('Funding Pool Funds at Launch (Millions of xDAI)')" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,15,'Intial Raise d0 (Millions of xDAI)')" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "d_lab = [str(int(100*d)/100) for d in vec_d0] \n", "sns.heatmap(mat_R0.T,yticklabels=th_lab, xticklabels=d_lab)#, annot=True)\n", "plt.yticks(rotation=0)\n", "\n", "plt.title('Initial Reserve: R0 (Millions of xDAI)')\n", "plt.ylabel('Funding Pool Fraction: Theta')\n", "plt.xlabel('Intial Raise d0 (Millions of xDAI)')" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,15,'Intial Raise d0 (Millions of xDAI)')" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.heatmap(mat_S0.T,yticklabels=p0_lab, xticklabels=d_lab)#, annot=True)\n", "plt.yticks(rotation=0)\n", "\n", "plt.title('Initial Supply: S0 (Millions of Tokens)')\n", "plt.ylabel('Hatch Sale Price: p0 (xDAI per Token)')\n", "plt.xlabel('Intial Raise d0 (Millions of xDAI)')" ] }, { "cell_type": "code", "execution_count": null, "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": "3.7.5" } }, "nbformat": 4, "nbformat_minor": 2 }