def cummulative_continuation(df_delta,initial_value):
    """From a DataFrame with columns consisting of time series with a
    common datetime index, returns column-wise cummulative sums
    starting from an initial value(s).

    Parameters
    ----------
    df_delta : DataFrame
        A DataFrame with time series as columns.
    intial_value : float or list 
        An initial value or a list of initial values (one per column).
    Returns
    -------
    df : DataFrame
        A DataFrame of cummulative values starting from the intial value(s).
    """
    df = df_delta.cumsum(axis=0)
    df = df + initial_value
    return df