如何使用具有要价和出价的 pandas 数据框计算成交量加权平均价格 (VWAP)?

How to calculate Volume Weighted Average Price (VWAP) using a pandas dataframe with ask and bid price?

如果我的 table 如下所示,我该如何创建另一个名为 vwap 的列来计算 vwap?

             time            bid_size   bid       ask  ask_size trade trade_size phase  
0   2019-01-07 07:45:01.064515  495   152.52    152.54    19     NaN      NaN    OPEN   
1   2019-01-07 07:45:01.110072  31    152.53    152.54    19     NaN      NaN    OPEN   
2   2019-01-07 07:45:01.116596  32    152.53    152.54    19     NaN      NaN    OPEN   
3   2019-01-07 07:45:01.116860  32    152.53    152.54    21     NaN      NaN    OPEN   
4   2019-01-07 07:45:01.116905  34    152.53    152.54    21     NaN      NaN    OPEN   
5   2019-01-07 07:45:01.116982  34    152.53    152.54    31     NaN      NaN    OPEN   
6   2019-01-07 07:45:01.147901  38    152.53    152.54    31     NaN      NaN    OPEN   
7   2019-01-07 07:45:01.189971  38    152.53    152.54    31     ask     15.0    OPEN   
8   2019-01-07 07:45:01.189971  38    152.53    152.54    16     NaN      NaN    OPEN   
9   2019-01-07 07:45:01.190766  37    152.53    152.54    16     NaN      NaN    OPEN   
10  2019-01-07 07:45:01.190856  37    152.53    152.54    15     NaN      NaN    OPEN
11  2019-01-07 07:45:01.190856  37    152.53    152.54    16     ask      1.0    OPEN   
12  2019-01-07 07:45:01.193938  37    152.53    152.55   108     NaN      NaN    OPEN   
13  2019-01-07 07:45:01.193938  37    152.53    152.54    15     ask     15.0    OPEN   
14  2019-01-07 07:45:01.194326  2     152.54    152.55   108     NaN      NaN    OPEN   
15  2019-01-07 07:45:01.194453  2     152.54    152.55    97     NaN      NaN    OPEN   
16  2019-01-07 07:45:01.194479  6     152.54    152.55    97     NaN      NaN    OPEN   
17  2019-01-07 07:45:01.194507  19    152.54    152.55    97     NaN      NaN    OPEN   
18  2019-01-07 07:45:01.194532  19    152.54    152.55    77     NaN      NaN    OPEN   
19  2019-01-07 07:45:01.194598  19    152.54    152.55    79     NaN      NaN    OPEN   

抱歉,table 看不清楚,最右边的第二列是trade_size,左边是交易,显示交易的方向(买价或卖价)。如果 trade_size 和 trade 都是 NaN,则表明在该时间戳没有交易发生。

如果 df['trade'] == "ask",交易价格将是列 'ask' 中的价格,如果 df['trade] == "bid",交易价格将是列 'bid' 中的价格。由于有2个价格,请问如何计算vwap,df['vwap']?

我的想法是使用np.cumsum()。

这是一种可能的方法

追加 VMAP 列满 NaNs

df['VMAP'] = np.nan

计算VMAP(基于 equation ) and assign values based on ask or bid,

for trade in ['ask','bid']:
    # Find indexes of `ask` or `buy`
    bid_idx = df[df.trade==trade].index

    # Slice DF based on `ask` or `buy`, using indexes
    df.loc[bid_idx, 'VMAP'] = (
        (df.loc[bid_idx, 'trade_size'] * df.loc[bid_idx, trade]).cumsum()
        /
        (df.loc[bid_idx, 'trade_size']).cumsum()
                )

print(df.iloc[:,1:])
               time  bid_size     bid     ask  ask_size trade  trade_size phase    VMAP
0   07:45:01.064515       495  152.52  152.54        19   NaN         NaN  OPEN     NaN
1   07:45:01.110072        31  152.53  152.54        19   NaN         NaN  OPEN     NaN
2   07:45:01.116596        32  152.53  152.54        19   NaN         NaN  OPEN     NaN
3   07:45:01.116860        32  152.53  152.54        21   NaN         NaN  OPEN     NaN
4   07:45:01.116905        34  152.53  152.54        21   NaN         NaN  OPEN     NaN
5   07:45:01.116982        34  152.53  152.54        31   NaN         NaN  OPEN     NaN
6   07:45:01.147901        38  152.53  152.54        31   NaN         NaN  OPEN     NaN
7   07:45:01.189971        38  152.53  152.54        31   ask        15.0  OPEN  152.54
8   07:45:01.189971        38  152.53  152.54        16   NaN         NaN  OPEN     NaN
9   07:45:01.190766        37  152.53  152.54        16   NaN         NaN  OPEN     NaN
10  07:45:01.190856        37  152.53  152.54        15   NaN         NaN  OPEN     NaN
11  07:45:01.190856        37  152.53  152.54        16   ask         1.0  OPEN  152.54
12  07:45:01.193938        37  152.53  152.55       108   NaN         NaN  OPEN     NaN
13  07:45:01.193938        37  152.53  152.54        15   ask        15.0  OPEN  152.54
14  07:45:01.194326         2  152.54  152.55       108   NaN         NaN  OPEN     NaN
15  07:45:01.194453         2  152.54  152.55        97   NaN         NaN  OPEN     NaN
16  07:45:01.194479         6  152.54  152.55        97   NaN         NaN  OPEN     NaN
17  07:45:01.194507        19  152.54  152.55        97   NaN         NaN  OPEN     NaN
18  07:45:01.194532        19  152.54  152.55        77   NaN         NaN  OPEN     NaN
19  07:45:01.194598        19  152.54  152.55        79   NaN         NaN  OPEN     NaN

编辑

@edinho一样,VMAPtrade_price列相同。

好的,就在这里

df['trade_price'] = df.apply(lambda x: x['bid'] if x['trade']=='bid' else x['ask'], axis=1)
df['vwap'] = (df['trade_price'] * df['trade_size']).cumsum() / df['trade_size'].fillna(0).cumsum()

第一行:
它将 trade_price 保存在一个新列中,因此以后更容易检索它。
如果你愿意,你可以删除这一行并创建一个函数(也许这样更容易阅读)。不过我更喜欢看中间结果。
Q:为什么没有交易也有价值?
答:因为 lambda 的编写方式。 else 捕获 ask 价格。但这不会有什么不同,因为下一步。

第二行:
真正的计算在这里进行。
第一部分计算直到那一刻的总交易量(如您所说,使用累计总和使生活更轻松)。
第二部分计算直到那一刻的总交易量(同样是累计总和)。
如果你愿意,你可以打破这条线并制作更多的中间列。
问:为什么 fillna(0)?
A: 所以总体积不会得到 NaNs 并且你不会得到除法错误 问:为什么 vwap 列中有这么多 NaNs
A: 因为没有贸易的线路。你可以填写0s,但最好保留'no trade'信息。

Ps.: 你可能会得到错误的结果,因为它只考虑同一个方向的量价。但是,您可以尝试反转一些信号以按照您预期的方式固定交易量(例如:将 ask 价格更改为负数)。

此代码输出:

    trade_price vwap
1   152.54  NaN
2   152.54  NaN
3   152.54  NaN
4   152.54  NaN
5   152.54  NaN
6   152.54  NaN
7   152.54  NaN
8   152.54  152.54
9   152.54  NaN
10  152.54  NaN
11  152.54  NaN
12  152.54  152.54
13  152.55  NaN
14  152.54  152.54
15  152.55  NaN
16  152.55  NaN
17  152.55  NaN
18  152.55  NaN
19  152.55  NaN
20  152.55  NaN

您可以使用 np.where 根据 trade 列中的值从正确的列(bidask)中为您提供价格。请注意,这会在没有交易发生时为您提供出价,但因为随后乘以 NaN 交易规模,所以这无关紧要。我也转发了VWAP。

volume = df['trade_size']
price = np.where(df['trade'].eq('ask'), df['ask'], df['bid'])  
df = df.assign(VWAP=((volume * price).cumsum() / vol.cumsum()).ffill())

>>> df
        time    bid_size    bid ask ask_size    trade   trade_size  phase   VWAP
0   2019-01-07  07:45:01.064515 495 152.52  152.54  19  NaN NaN OPEN    NaN
1   2019-01-07  07:45:01.110072 31  152.53  152.54  19  NaN NaN OPEN    NaN
2   2019-01-07  07:45:01.116596 32  152.53  152.54  19  NaN NaN OPEN    NaN
3   2019-01-07  07:45:01.116860 32  152.53  152.54  21  NaN NaN OPEN    NaN
4   2019-01-07  07:45:01.116905 34  152.53  152.54  21  NaN NaN OPEN    NaN
5   2019-01-07  07:45:01.116982 34  152.53  152.54  31  NaN NaN OPEN    NaN
6   2019-01-07  07:45:01.147901 38  152.53  152.54  31  NaN NaN OPEN    NaN
7   2019-01-07  07:45:01.189971 38  152.53  152.54  31  ask 15.0    OPEN    152.54
8   2019-01-07  07:45:01.189971 38  152.53  152.54  16  NaN NaN OPEN    152.54
9   2019-01-07  07:45:01.190766 37  152.53  152.54  16  NaN NaN OPEN    152.54
10  2019-01-07  07:45:01.190856 37  152.53  152.54  15  NaN NaN OPEN    152.54
11  2019-01-07  07:45:01.190856 37  152.53  152.54  16  ask 1.0 OPEN    152.54
12  2019-01-07  07:45:01.193938 37  152.53  152.55  108 NaN NaN OPEN    152.54
13  2019-01-07  07:45:01.193938 37  152.53  152.54  15  ask 15.0    OPEN    152.54
14  2019-01-07  07:45:01.194326 2   152.54  152.55  108 NaN NaN OPEN    152.54
15  2019-01-07  07:45:01.194453 2   152.54  152.55  97  NaN NaN OPEN    152.54
16  2019-01-07  07:45:01.194479 6   152.54  152.55  97  NaN NaN OPEN    152.54
17  2019-01-07  07:45:01.194507 19  152.54  152.55  97  NaN NaN OPEN    152.54
18  2019-01-07  07:45:01.194532 19  152.54  152.55  77  NaN NaN OPEN    152.54
19  2019-01-07  07:45:01.194598 19  152.54  152.55  79  NaN NaN OPEN    152.54