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<div class="text-container"><span id="t1_5" class="t s1_5">Jan 2023 </span>
<span id="t2_5" class="t s1_5">Funding Devs - Burning LUNC – Rewarding Users </span>
<span id="t3_5" class="t s2_5">LBUN implementation </span>
<span id="t4_5" class="t s3_5">LBUN Bonding Curve </span>
<span id="t5_5" class="t s1_5">The LBUN token is implemented using the “CW-20 bonding” smart contract. LBUN's TBC is defined by </span>
<span id="t6_5" class="t s1_5">the following mathematical formula: </span>
<span id="t7_5" class="t s4_5"> = (0.000001) ∗ </span>
<span id="t8_5" class="t s5_5">2 </span>
<span id="t9_5" class="t s1_5">The formula is a power function and as such can define our TBC in terms of a reserve ratio. This greatly </span>
<span id="ta_5" class="t s1_5">simplifies the math needed to compute how much liquidity is stored in the Reserve. For LBUN’s TBC, the </span>
<span id="tb_5" class="t s1_5">applicable math is as follows: </span>
<span id="tc_5" class="t s4_5"> = </span>
<span id="td_5" class="t s6_5">( </span>
<span id="te_5" class="t s4_5">1 </span>
<span id="tf_5" class="t s4_5">3 </span>
<span id="tg_5" class="t s4_5">∗ </span>
<span id="th_5" class="t s7_5">3 </span>
<span id="ti_5" class="t s6_5">) </span>
<span id="tj_5" class="t s4_5">( </span>
<span id="tk_5" class="t s5_5">2 </span>
<span id="tl_5" class="t s4_5">∗ ) </span>
<span id="tm_5" class="t s4_5">= </span>
<span id="tn_5" class="t s4_5">1 </span>
<span id="to_5" class="t s4_5">3 </span>
<span id="tp_5" class="t s1_5">In other words, the liquidity reserve for LBUN is one-third of the Market Cap (see Bancor Whitepaper or </span>
<span id="tq_5" class="t s1_5">article by Slava Balasanov for complete explanation). </span>
<span id="tr_5" class="t s1_5">For example: at a 100,000 LBUN supply, the TBC price is 10,000 LUNA/LBUN: </span>
<span id="ts_5" class="t s8_5">• </span><span id="tt_5" class="t s1_5">Market Cap is (100,000 LBUN * 10,000 LUNA/LBUN) = 1,000,000,000 LUNA </span>
<span id="tu_5" class="t s8_5">• </span><span id="tv_5" class="t s1_5">Liquidity Reserve = (1/3 * 1,000,000,000 LUNA) = 333,333,333 LUNA </span>
<span id="tw_5" class="t s1_5">A summary of data points for a LBUN supply from 1,000 to 100,000 tokens follows: </span>
<span id="tx_5" class="t s9_5">LBUN Supply </span><span id="ty_5" class="t s9_5">Price (LBUN/LUNA) </span><span id="tz_5" class="t s9_5">Market Cap (LUNA) </span><span id="t10_5" class="t s9_5">Liquidity Reserve (LUNA) </span>
<span id="t11_5" class="t sa_5">1,000 </span><span id="t12_5" class="t sa_5">1 </span><span id="t13_5" class="t sa_5">1,000 </span><span id="t14_5" class="t sa_5">333 </span>
<span id="t15_5" class="t sa_5">5,000 </span><span id="t16_5" class="t sa_5">25 </span><span id="t17_5" class="t sa_5">125,000 </span><span id="t18_5" class="t sa_5">41,667 </span>
<span id="t19_5" class="t sa_5">10,000 </span><span id="t1a_5" class="t sa_5">100 </span><span id="t1b_5" class="t sa_5">1,000,000 </span><span id="t1c_5" class="t sa_5">333,333 </span>
<span id="t1d_5" class="t sa_5">15,000 </span><span id="t1e_5" class="t sa_5">225 </span><span id="t1f_5" class="t sa_5">3,375,000 </span><span id="t1g_5" class="t sa_5">1,125,000 </span>
<span id="t1h_5" class="t sa_5">20,000 </span><span id="t1i_5" class="t sa_5">400 </span><span id="t1j_5" class="t sa_5">8,000,000 </span><span id="t1k_5" class="t sa_5">2,666,667 </span>
<span id="t1l_5" class="t sa_5">25,000 </span><span id="t1m_5" class="t sa_5">625 </span><span id="t1n_5" class="t sa_5">15,625,000 </span><span id="t1o_5" class="t sa_5">5,208,333 </span>
<span id="t1p_5" class="t sa_5">30,000 </span><span id="t1q_5" class="t sa_5">900 </span><span id="t1r_5" class="t sa_5">27,000,000 </span><span id="t1s_5" class="t sa_5">9,000,000 </span>
<span id="t1t_5" class="t sa_5">35,000 </span><span id="t1u_5" class="t sa_5">1,225 </span><span id="t1v_5" class="t sa_5">42,875,000 </span><span id="t1w_5" class="t sa_5">14,291,667 </span>
<span id="t1x_5" class="t sa_5">40,000 </span><span id="t1y_5" class="t sa_5">1,600 </span><span id="t1z_5" class="t sa_5">64,000,000 </span><span id="t20_5" class="t sa_5">21,333,333 </span>
<span id="t21_5" class="t sa_5">45,000 </span><span id="t22_5" class="t sa_5">2,025 </span><span id="t23_5" class="t sa_5">91,125,000 </span><span id="t24_5" class="t sa_5">30,375,000 </span>
<span id="t25_5" class="t sa_5">50,000 </span><span id="t26_5" class="t sa_5">2,500 </span><span id="t27_5" class="t sa_5">125,000,000 </span><span id="t28_5" class="t sa_5">41,666,667 </span>
<span id="t29_5" class="t sa_5">55,000 </span><span id="t2a_5" class="t sa_5">3,025 </span><span id="t2b_5" class="t sa_5">166,375,000 </span><span id="t2c_5" class="t sa_5">55,458,333 </span>
<span id="t2d_5" class="t sa_5">60,000 </span><span id="t2e_5" class="t sa_5">3,600 </span><span id="t2f_5" class="t sa_5">216,000,000 </span><span id="t2g_5" class="t sa_5">72,000,000 </span>
<span id="t2h_5" class="t sa_5">65,000 </span><span id="t2i_5" class="t sa_5">4,225 </span><span id="t2j_5" class="t sa_5">274,625,000 </span><span id="t2k_5" class="t sa_5">91,541,667 </span>
<span id="t2l_5" class="t sa_5">70,000 </span><span id="t2m_5" class="t sa_5">4,900 </span><span id="t2n_5" class="t sa_5">343,000,000 </span><span id="t2o_5" class="t sa_5">114,333,333 </span>
<span id="t2p_5" class="t sa_5">75,000 </span><span id="t2q_5" class="t sa_5">5,625 </span><span id="t2r_5" class="t sa_5">421,875,000 </span><span id="t2s_5" class="t sa_5">140,625,000 </span>
<span id="t2t_5" class="t sa_5">80,000 </span><span id="t2u_5" class="t sa_5">6,400 </span><span id="t2v_5" class="t sa_5">512,000,000 </span><span id="t2w_5" class="t sa_5">170,666,667 </span>
<span id="t2x_5" class="t sa_5">85,000 </span><span id="t2y_5" class="t sa_5">7,225 </span><span id="t2z_5" class="t sa_5">614,125,000 </span><span id="t30_5" class="t sa_5">204,708,333 </span>
<span id="t31_5" class="t sa_5">90,000 </span><span id="t32_5" class="t sa_5">8,100 </span><span id="t33_5" class="t sa_5">729,000,000 </span><span id="t34_5" class="t sa_5">243,000,000 </span>
<span id="t35_5" class="t sa_5">95,000 </span><span id="t36_5" class="t sa_5">9,025 </span><span id="t37_5" class="t sa_5">857,375,000 </span><span id="t38_5" class="t sa_5">285,791,667 </span>
<span id="t39_5" class="t sa_5">100,000 </span><span id="t3a_5" class="t sa_5">10,000 </span><span id="t3b_5" class="t sa_5">1,000,000,000 </span><span id="t3c_5" class="t sa_5">333,333,333 </span>
<span id="t3d_5" class="t sb_5">Token Bonding Curve (AMM) </span>
<span id="t3e_5" class="t sc_5">(Multiply by LUNA/USD to get dollars) </span></div>
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