Emissions

PulseLend's token emission model is designed with a focus on price appreciation by applying an exponential decay model for token distribution. This methodology promotes early adoption and creates a sense of scarcity as the emission rate diminishes more rapidly with time. Here's how the emission schedule calculations are formulated:

1. Determine the Initial Emission Rate: We considered an initial monthly emission rate of 4.63%, based on the total token supply of 3.7 billion tokens. Thus, the Initial Emission Rate is calculated as: 0.0463 * 3,700,000,000 = 171,410,000 tokens.

2. Calculate the Total Tokens to be Emitted in 48 Months: Over a period of 48 months, the total tokens emitted should be almost equal to the total token supply of 3.7 billion tokens.

3. Determine the Decay Rate: The decay rate is identified by finding a value that ensures the total of all emissions over 48 months equals the total token supply. In an exponential decay model, this total can be calculated using this formula: Total Tokens = Initial Emission Rate * (1 - r^48) / (1 - r), where 'r' is the decay rate. Numerical methods such as the bisection method or the Newton-Raphson method can be employed to find the optimal decay rate. For simplicity's sake, we assumed a decay rate of 0.963 in our model.

4. Formulate the Emission Schedule: The emission schedule is formed by multiplying the previous month's emission rate by the decay rate. This method results in a declining monthly emission over the 48-month period, thus encouraging early adoption and establishing scarcity in the market.

We adopted the exponential decay model because it aligns with our primary objective of price appreciation. By frontloading token distribution, we can draw early adopters who benefit from the higher initial emission rate. As the emission rate decreases over time, scarcity is induced, which can positively affect the token value. This model encourages a robust token economy, aligning with PulseLend's long-term project goals.

Month	Emission per Month	Total Emission
1	171,273,600	171,273,600
2	164,422,656	335,696,256
3	157,845,750	493,542,006
4	151,531,920	645,073,926
5	145,470,643	790,544,569
6	139,651,817	930,196,386
7	134,065,745	1,064,262,131
8	128,703,115	1,192,965,246
9	123,554,990	1,316,520,236
10	118,612,791	1,435,133,027
11	113,868,279	1,549,001,306
12	109,313,548	1,658,314,854
13	104,941,006	1,763,255,860
14	100,743,366	1,863,999,226
15	96,713,631	1,960,712,857
16	92,845,086	2,053,557,943
17	89,131,282	2,142,689,225
18	85,566,031	2,228,255,256
19	82,143,390	2,310,398,646
20	78,857,654	2,389,256,300
21	75,703,348	2,464,959,648
22	72,675,214	2,537,634,862
23	69,768,206	2,607,403,068
24	66,977,477	2,674,380,545
25	64,298,378	2,738,678,923
26	61,726,443	2,800,405,366
27	59,257,385	2,859,662,751
28	56,887,090	2,916,549,841
29	54,611,606	2,971,161,447
30	52,427,142	3,023,588,589
31	50,330,056	3,073,918,645
32	48,316,854	3,122,235,500
33	46,384,180	3,168,619,680
34	44,528,813	3,213,148,493
35	42,747,660	3,255,896,153
36	41,037,754	3,296,933,907
37	39,396,244	3,336,330,150
38	37,820,394	3,374,150,544
39	36,307,578	3,410,458,123
40	34,855,275	3,445,313,398
41	33,461,064	3,478,774,462
42	32,122,622	3,510,897,084
43	30,837,717	3,541,734,800
44	29,604,208	3,571,339,008
45	28,420,040	3,599,759,048
46	27,283,238	3,627,042,286
47	26,191,909	3,653,234,194
48	25,144,232	3,678,378,427

This emission schedule assumes a decay rate of 0.963, which results in decreasing monthly emissions, rewarding early adopters, and fostering token scarcity over the 48-month period.

We would like to emphasize that the emissions outlined above serve as a reference for our initial plans. We reserve the right to adjust these emissions if we deem it necessary for the improvement and sustainability of the Basilisk protocol. Once our governance system is fully implemented, the control over emissions and other crucial aspects of the protocol will be handed over to the community. This decentralized approach ensures that the future development and growth of Basilisk will be shaped by the collective wisdom and interests of its users, fostering a truly democratic and adaptive ecosystem.

Finally we do have a leftover of 21,621,573 tokens that we are planning on using for different events that will be boosting emissions.