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I built a bot that answers Moxie-related questions. Simply tag @mox1e and ask your question.
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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?
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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 =
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