> 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/japanese/qu-yin/perpetual-trading/perpetual-trading-v2/madbtcusd/madbtcusd-faq.md).
# MADBTCUSD よくある質問 (FAQ)
### MADBTCUSDインデックスはどのように計算されますか？
MADBTCUSDは以下の計算式に基づいて算出されます：
**MADBTCUSDインデックス**
$$
\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\*}
$$
パラメーター：
* 初期Sn=1000
* dt=1
* expected vol：100%（expected volはMADBTCの期待時間ボラティリティ）
* 「**ランダムナンバー**」は**小数点以下8桁の精度のBTC価格**に基づいて計算されます
**ランダムナンバーの計算：**
```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)
```
決定されたランダムナンバーが0の場合、再計算されます。
### BTCとMADBTCUSDの過去の価格をどこでクロス検証できますか？
BTCとMADBTCUSDの価格フィードはこちらでご確認いただけます：
[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)
### BTCとMADBTCの過去のバックテストデータ
BTCとMADBTCの過去の価格をクロス検証するために、以下にバックテストグラフを提供します。
---
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