xNIT → $NIT

xNIT are governed by two key formulas: the pricing formula (P) and the exchange rate formula (ER).

Pricing Formula

The pricing formula determines the relative value of xNIT to NIT in the reward contract.

P={xntntif nt>xnt1otherwiseP = \begin{cases} \dfrac{xnt}{nt} & \text{if } nt > xnt \\ 1 & \text{otherwise} \end{cases}

where:

  • xntxnt = Total amount of xNIT in circulation.

  • ntnt = NIT in the reward contract.

  • 1 = ceiling price

Exchange Rate Formula

The exchange rate formula calculates how many Nitro Tokens can be claimed for burning a given amount of xNIT (xnt)(∆xnt)

ER=min(xntxntnt,1)ER = \min\left(\dfrac{xnt-∆xnt }{nt }, 1\right)

where:

  • ΔxntΔxnt = xNIT to be burned.

  • xntxnt = Total amount of xNIT in circulation.

  • ntnt = Total NIT in the reward contract

  • 1 = ceiling price

Examples

Given Values:

  • Nitro Tokens in the reward contract (nt): 4,000,000

  • xNIT in circulation (xnt): 2,000,000

  • xNIT to be burnt (∆xnt): 500,000

Pricing Calculation:

  • P=(2,000,0004,000,000)P = \left(\frac{2,000,000}{4,000,000}\right) = 0.5

Exchange Rate Calculation:

  • ER=min(2,000,000500,0004,000,000,1)ER = \min\left(\frac{2,000,000-500,000}{4,000,000},1\right) = 0.375

Amount to Claim:

The number of Nitro Tokens (nt)(∆nt) claimable for burning (xnt)(∆xnt) xNIT is given by:

Δnt=ER×ΔxntΔnt=ER×Δxnt

  • nt∆nt = 0.375×500,0000.375\times500,000 = 187,500

The user claims 187,500 NIT for burning 500,000 xNIT

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