Globally Optimum Trading Positions for Multi-Asset Options
    1.
    发明申请
    Globally Optimum Trading Positions for Multi-Asset Options 审中-公开
    全球最佳的多资产期权交易头寸

    公开(公告)号:US20140188684A1

    公开(公告)日:2014-07-03

    申请号:US13921741

    申请日:2013-06-19

    IPC分类号: G06Q40/04

    CPC分类号: G06Q40/04

    摘要: A trading position evaluation system for evaluating trading positions that are globally optimum for a path-independent multi-asset European Contingent Claim (ECC) includes an option price determination module configured to determine a current option price matrix, a shifted option price matrix, and a normalized conditional variance matrix associated with underlying assets of the ECC at a trading time instance amongst a plurality of trading time instances obtained from a trader, based on ECC data and market data. Based on the current option price matrix, the shifted option price matrix, and the normalized conditional variance matrix, a position evaluation module evaluates a trading position in each of the underlying assets at the trading time instance that minimizes global variance of profit and loss to the trader.

    摘要翻译: 用于评估对于与路径无关的多资产欧洲或有债权(ECC)全局最佳的交易头寸的交易头寸评估系统包括:期权价格确定模块,被配置为确定当前期权价格矩阵,转移期权价格矩阵和 基于ECC数据和市场数据,在从交易者获得的多个交易时间实例之间的交易时间实例中,与ECC的基础资产相关联的归一化条件方差矩阵。 基于当前期权价格矩阵,转移期权价格矩阵和归一化条件方差矩阵,位置评估模块评估交易时间实例中每个相关资产的交易头寸,将全球损益差异最小化为 商人。

    GLOBALLY OPTIMUM TRADING POSITIONS IN RISK-NEUTRAL MEASURE
    2.
    发明申请
    GLOBALLY OPTIMUM TRADING POSITIONS IN RISK-NEUTRAL MEASURE 审中-公开
    在风险中性测量中的全球最佳交易位置

    公开(公告)号:US20140074682A1

    公开(公告)日:2014-03-13

    申请号:US13776372

    申请日:2013-02-25

    IPC分类号: G06Q40/04

    CPC分类号: G06Q40/04

    摘要: A trading position evaluation system for evaluating trading positions that are globally optimum in a risk-neutral measure includes an option price determination module configured to determine a current option price and a shifted option price of an underlying asset of a European Contingent Claim (ECC) at a trading time instance amongst a plurality of trading time instances obtained from a trader, based on ECC data and market data. The ECC data comprises data associated with the ECC and the underlying asset of the ECC, and the market data comprises annualized volatility of the underlying asset and risk-free interest rate of market. Based on the current option price and the shifted option price, a position evaluation module evaluates a trading position at the trading time instance that minimizes global variance of profit and loss to the trader.

    摘要翻译: 用于评估在风险中性测度中是全局最佳的交易头寸的交易头寸评估系统包括期权价格确定模块,其被配置为确定当前期权价格和欧洲或有债权(ECC)的标的资产的转移期权价格 基于ECC数据和市场数据,从交易者获得的多个交易时间实例中的交易时间实例。 ECC数据包括与ECC相关的数据和ECC的标的资产,市场数据包括标的资产的年化波动率和无风险的市场利率。 根据当前期权价格和期权价格变动,仓位评估模块评估交易时间实例的交易头寸,从而最大限度地减少交易者的全球损益差额。

    Time series prediction with confidence estimates using sparse recurrent mixture density networks

    公开(公告)号:US11556789B2

    公开(公告)日:2023-01-17

    申请号:US16909262

    申请日:2020-06-23

    IPC分类号: G06N3/08 G06N3/04

    摘要: This disclosure relates generally to system and method for time series prediction using a sparse recurrent mixture density network (RMDN), such as sparse LSTM-MDN and a sparse ED-MDN, for accurate forecasting of a high variability time series. The disclosed sparse RMDN has the ability to handle high-dimensional input features, capture trend shifts and high variability present in the data, and provide a confidence estimate of the forecast. A high-dimensional time series data is passed through a feedforward layer, which performs dimensionality reduction in an unsupervised manner by inducing sparsity on weights of the feedforward layer. The resultant low-dimensional time series is fed through recurrent layers to capture temporal patterns. These recurrent layers also aid in learning latent representation of the input data. Thereafter, a mixture density network (MDN) is used to model the variability and trend shifts present in the input and it also estimates the confidence of the predictions.

    Globally Optimum Trading Positions for Path-Dependent Options
    5.
    发明申请
    Globally Optimum Trading Positions for Path-Dependent Options 审中-公开
    全球最适合路径依赖选项的交易位置

    公开(公告)号:US20140207641A1

    公开(公告)日:2014-07-24

    申请号:US13922015

    申请日:2013-06-19

    IPC分类号: G06Q40/04

    CPC分类号: G06Q40/04

    摘要: A trading position evaluation system for evaluating trading positions that are globally optimum for a path-dependent European Contingent Claims (ECC) includes an option price determination module configured to determine a current option price and a shifted option price of the path-dependent ECC based on ECC data and market data. The current option price and the shifted option price are determined at a trading time instance, selected from amongst a plurality of trading time instances obtained from a trader, based on at least one discrete-monitoring time instance occurring before the trading time instance. Based on the current option price and the shifted option price, a position evaluation module evaluates a trading position in an underlying asset of the path-dependent ECC at the trading time instance that minimizes global variance of profit and loss to the trader.

    摘要翻译: 用于评估对于依赖于路径的欧洲或有债权(ECC)全局最佳的交易头寸的交易头寸评估系统包括:期权价格确定模块,被配置为基于所述期权价格确定模块确定当前期权价格和基于路径的ECC的期权价格 ECC数据和市场数据。 基于在交易时间实例之前发生的至少一个离散监控时间实例,当前期权价格和转移的期权价格在交易时间实例中确定,所述交易时间实例从从交易者获得的多个交易时间实例中选择。 根据当前期权价格和期权价格变动,位置评估模块评估交易时间实例中路径依赖ECC的标的资产的交易头寸,从而最大限度地减少交易者的全球损益差异。

    LOCALLY OPTIMUM TRADING POSITIONS IN MARKET MEASURE
    8.
    发明申请
    LOCALLY OPTIMUM TRADING POSITIONS IN MARKET MEASURE 审中-公开
    市场行情中的当地最佳交易位置

    公开(公告)号:US20140089159A1

    公开(公告)日:2014-03-27

    申请号:US13776453

    申请日:2013-02-25

    IPC分类号: G06Q40/04

    CPC分类号: G06Q40/04

    摘要: A trading position evaluation system for evaluating trading positions that are locally optimum in a market measure includes an option price determination module configured to determine at a trading time instance amongst a plurality of trading time instances obtained from a trader, a scaled option price and a shifted scaled option price of an underlying asset of a European Contingent Claim (ECC) based on ECC data and market data. The ECC data comprises data associated with the ECC and the underlying asset of the ECC, and the market data comprises annualized rate of return and annualized volatility of the underlying asset, and interest rate of market. Based on the scaled option price and the shifted scaled option price, a position evaluation module evaluates a trading position at the trading time instance that minimizes local variance of profit and loss to the trader.

    摘要翻译: 用于评估在市场测量中是局部最佳的交易头寸的交易头寸评估系统包括期权价格确定模块,其被配置为在交易时间上确定从交易者获得的多个交易时间实例中,定价期权价格和经转移 基于ECC数据和市场数据的欧洲或有债权(ECC)的标的资产的定价期权价格。 ECC数据包括与ECC相关的数据和ECC的标的资产,市场数据包括标的资产的年化回报率和年度波动率以及市场利率。 基于定价期权价格和期权价格变动,仓位评估模块评估交易时间实例的交易头寸,从而最大限度地减少交易者的利润和损失的局部差异。