> For the complete documentation index, see [llms.txt](https://docs.scattering.io/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://docs.scattering.io/launchpad/bonding-curve.md).
# Bonding Curve
## Token Allocation
* The total fungible tokens of the collection is fixed at 1B and the NFTs part amount is customized by the token creator.
* 800M fungible tokens are allocated in the bonding curve pool for sale to raise initial liquidity.
* 200M fungible tokens are reserved for adding to the liquidity pool on DEX.\
## Parameters
### Equation:
$$
P(x) = 4 \times 10^{-9} e^{\frac{x \ln{10}}{0.8 \times 10^9}}
$$
### Parameter Definitions:
* P(x) is the token price in ETH
* X is the token supply, ranging from 0 to 800M
### Initial Conditions
* At token creation, the initial token price is 4\*10^(-9) ETH
* The initial market cap of the collection is 4ETH(initial token price\*1B).
### Graduation Conditions:
* At graduation(x=800M), the token price is 4\*10^(-8)ETH
* The total market cap of the collection is 40 ETH ( token price\*1B) .
### Total Raised Funds(TRF):
$$
TRF = \int\_0^{800M} 4 \times 10^{-9} e^{\frac{x \ln{10}}{0.8 \times 10^9}} , dx \approx 12.5 , ETH
$$
### Liquidity Pool on DEX Construction:
* Deposited ETH= TRF\*85% ≈ 10.625ETH
* Deposited Token=200M
### Price Increase When Depositing LP
* Initial Price on DEX=Deposited ETH/Deposited Token ≈ 5.3125\*10^(-8)ETH
* Graduating Price on Bonding curve is 4\*10^(-8)ETH
* Thus, the token price on the DEX LP at the very start is \~32% higher compared to the graduation price on the bonding curve.
---
# Agent Instructions
This documentation is published with GitBook. GitBook is the documentation platform designed so that both humans and AI agents can read, navigate, and reason over technical content effectively. Learn more at gitbook.com.
## Querying This Documentation
If you need additional information that is not directly available in this page, you can query the documentation dynamically by asking a question.
Perform an HTTP GET request on the current page URL with the `ask` query parameter, and the optional `goal` query parameter:
```
GET https://docs.scattering.io/launchpad/bonding-curve.md?ask=&goal=
```
`ask` is the immediate question: it should be specific, self-contained, and written in natural language.
`goal` is optional and describes the broader end goal you are ultimately trying to accomplish on behalf of the user. GitBook uses it to tailor the answer towards what is most useful for that goal.
The response will contain a direct answer to the question and relevant excerpts and sources from the documentation.
Use this mechanism when the answer is not explicitly present in the current page, you need clarification or additional context, or you want to retrieve related documentation sections.