> For the complete documentation index, see [llms.txt](https://docs.pancakeswap.finance/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://docs.pancakeswap.finance/portuguese-brazilian/negociacao/perpetual-trading/perpetual-trading-v2/madbtcusd/madbtcusd-faq.md).
# FAQ do MADBTCUSD
### Como o Índice MADBTCUSD é Calculado?
O MADBTCUSD é calculado com base na seguinte fórmula:
**Índice MADBTCUSD**
$$
\begin{align\*}
\text{drift} &= \left( \frac{\text{btcCurrentPrice} - 1}{\text{btcLastSecondPrice}} \right) \times 5 \\
\\
\sigma &= \frac{\text{expectedvol}}{\sqrt{3600 \times 24 \times 365}} \\
\\
norm &= \text{norminv}(\text{Random}, 0, 1) \\
\\
S\_{n+1} &= S\_{n} \times e^{\left\[\left(\text{drift} - \frac{\sigma^2}{2}\right) \times \text{dt} + \sigma \times \sqrt{\text{dt}} \times norm\right]}
\end{align\*}
$$
onde:
* Sn inicial=1000
* dt=1
* vol esperado：100% (o vol esperado é a volatilidade temporal esperada do MADBTC)
* o "**Número aleatório**" é calculado com base no **preço atual do BTC com 8 casas decimais de precisão**
**Cálculo do Número Aleatório:**
```python
import hashlib
from decimal import Decimal
# Assuma que o preço atual do Bitcoin é 48923.56789101
bitcoin_price = Decimal("48923.56789101")
# Calcule o hash SHA-256 do preço do Bitcoin
price_hash = hashlib.sha256(str(bitcoin_price).encode('utf-8')).hexdigest()
# Extraia os primeiros 8 números hexadecimais do hash
hash_substring = price_hash[:8]
# Converte uma string hexadecimal em um inteiro
hash_integer = int(hash_substring, 16)
# Divide o inteiro por 4294967296 (o número decimal correspondente ao número hexadecimal FFFFFFFF) para obter um num
random_number = hash_integer / 4294967296
# Imprima o número aleatório
print(random_number)
```
Se o número aleatório determinado for 0, ele será recalculado novamente
### Onde posso verificar o histórico de preços do BTC e MADBTCUSD?
O feed de preços do BTC e MADBTCUSD pode ser encontrado aqui:
[BTCUSD](https://www.apollox.finance/bapi/futures/v1/public/future/apx/V2MarkPriceKline?symbol=BTCUSD\&limit=1800)
[MADBTCUSD](https://www.apollox.finance/bapi/futures/v1/public/future/apx/V2MarkPriceKline?symbol=MADBTCUSD\&limit=1800)
### Dados históricos de backtest do BTC e MADBTC
Para verificar os preços históricos do BTC e MADBTC, fornecemos um gráfico de backtest abaixo.
---
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