Wells Fargo Bank, N.a.

Other

Richard Liu

Agus Sudjianto

Han Chen

Haojie Wang

Qi Shen

Systems, apparatuses, methods, and computer program products are disclosed for pricing a callable instrument. A plurality of corresponding pairs of Brownian motion paths and index value paths are determined corresponding to a set of dates. A deep neural network (DNN) of a backward DNN solver is trained until a convergence requirement is satisfied by for each pair of corresponding Brownian motion path and index value path, using the backward DNN solver to determine by iterating in reverse time order from a final discounted option payoff to an initial value. A statistical measure of spread of a set of initial values is determined and parameters of the DNN are modified based on the statistical measures of spread. Pricing information is determined by the backward DNN solver and provided such that a representation thereof is provided via an interactive user interface of a user computing device.

Systems and methods for callable options values determination using deep machine learning

The technology disclosed herein provides a method and device for storing and transporting a hat that is compact and addresses the problem of attaching a hat to a carrier, for example a bag, without the primary use of friction or clamping force to secure the hat, as these tend to damage the hat. More specifically, the clipping apparatus attaches to the hat by utilizing features of the hat to create mechanical interlocks to secure the hat, as opposed to friction. Further the device is easily and repeatedly attachable and removable from a hat without causing damage to the hat.

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San Francisco, CA, United States of America

Richard Liu