> 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/italian/scambia/perpetual-trading/perpetual-trading-v2/madbtcusd/madbtcusd-faq.md).
# FAQ MADBTCUSD
### Come viene calcolato l'Indice MADBTCUSD?
MADBTCUSD viene calcolato sulla base della seguente formula:
**Indice 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\*}
$$
dove:
* Sn iniziale=1000
* dt=1
* vol attesa：100% (la vol attesa è la volatilità temporale attesa di MADBTC)
* il "**Numero casuale**" viene calcolato in base al **prezzo BTC corrente con 8 cifre decimali di precisione**
**Calcolo del Numero Casuale:**
```python
import hashlib
from decimal import Decimal
# Assume the current price of Bitcoin is 48923.56789101
bitcoin_price = Decimal("48923.56789101")
# Calculate the SHA-256 hash of the Bitcoin price
price_hash = hashlib.sha256(str(bitcoin_price).encode('utf-8')).hexdigest()
# Extract the first 8 hexadecimal numbers from the hash
hash_substring = price_hash[:8]
# Converts a hexadecimal string to an integer
hash_integer = int(hash_substring, 16)
# Divide the integer by 4294967296 (the decimal number corresponding to the hexadecimal number FFFFFFFF) to get a num
random_number = hash_integer / 4294967296
# Print the random number
print(random_number)
```
Se il numero casuale determinato è 0, verrà ricalcolato
### Dove posso verificare il prezzo storico di BTC e MADBTCUSD?
Il feed del prezzo di BTC e MADBTCUSD si trova qui:
[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)
### Dati di backtest storici di BTC & MADBTC
Per verificare incrociando i prezzi storici di BTC & MADBTC, abbiamo fornito un grafico di backtest di seguito.
---
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