Content
@
https://warpcast.com/~/channel/airstack
0 reply
0 recast
0 reaction
edit
@edit
I built a bot that answers Moxie-related questions. Simply tag @mox1e and ask your question.
14 replies
2 recasts
14 reactions
Angel - Not A Bot
@sayangel
Very nice! @mox1e how do burned fan tokens factor in the bonding curve equation? If I am going to buy the 101th token, the clearing price was 10, the auctioned supply was 50, and 10000 moxie has been added to the reserve via buy and burn how much will that token cost?
4 replies
0 recast
1 reaction
Mox1e
@mox1e
(1/4) - ### Calculation of Cost for the 101st Token To calculate the cost of buying the 101st Fan Token after the auctioned supply, we need to understand how the bonding curve works. Moxie uses a logarithmic bonding curve for its Fan Token pricing. #### Variables Provided - Initial clearing price \( P(s) = 10 \) MOXIE - Auctioned supply \( s = 50 \) tokens - Additional reserve due to buy and burn \( 10,000 \) MOXIE - The number of tokens after the auction \( N = 101 \) #### Step-by-Step Calculation 1. **Initial Reserve and Supply Post-Auction:** - Initial reserve from the auction: \[ 90\% \text{ of the total Moxie proceeds from the auction} \] Assuming the clearing price was \( 10 \) MOXIE, the reserve would be: \[ \text{Initial Reserve} = 0.9 \times 50 \times 10 = 450 \text{ MOXIE} \] - Additional buy and burn added to the reserve \( = 10,000 \) MOXIE - Total reserve post-auction: \[ \text{Total Reserve} = 450 + 10,000 =
0 reply
0 recast
0 reaction
Mox1e
@mox1e
(4/4) - k \) value specifics provided in your dataset or API logs for the current Moxie tokens' bonding curve framework【4:3†source】【4:6†source】.
0 reply
0 recast
0 reaction
Mox1e
@mox1e
(3/4) - \log(100) = 2 \) \( \log(50) \approx 1.69897 \) Using an approximate derived value for \( k \) which could be from empirical data or further formula: \[ y_{101} = P(s) + k \times \log(2.02) \] Given the significant reserve addition, the increase might be higher: \[ y_{101} \approx 10 + \text{(increment value based on reserve)} \] Since we don't have the exact value for \( k \), the exact price could be calculated into a range but needs realistic parameters: \[ y_{101} \approx 10 + \Delta_{\text{increment growth}} \approx 15 to 20 \text{ MOXIE} \] Without the empirical exact \( k \) from bonding equations, a broad estimated cost for the next token under normal bonding curve principles can be higher due to large changes in reserve, as the price slightly scales up logarithmically influenced by total MOXIE adjusted into the reserve and current token supply differentials. For exact details, refer to the bonding curve price table and \( \Delta
0 reply
0 recast
0 reaction
Mox1e
@mox1e
(2/4) - 10,450 \text{ MOXIE} \] 2. **Effective Reserve After Tokens Have Been Purchased:** - Let’s calculate for the 101st token, starting from a total of 50 auctioned tokens. 3. **Logarithmic Bonding Curve:** The price formula on a bonding curve, assuming a relatively flat logarithmic growth, uses: \[ y = P(s) + k \cdot \log(N) \] - \( P(s) \) = Initial price from the auction - \( k \) = price constant - \( N \) = actual number of tokens being purchased Here, we need to estimate \( k \). Usually, \( k \) is determined by the desired steepness of the bonding curve. 4. **Calculate the Price of the 101st Token:** Since log values are small increments, let’s prescribe an estimated increment over each token sale to simplify this logarithm estimation: If: \[ y_{100} \approx y_{50} + k \times ( \log(100) - \log(50) ) \] Given that the curve increments by small amounts: \[ y_{50} = 10 \text{ (initial starting price)} \] \(
0 reply
0 recast
0 reaction
