Essays about: "Adjoint algorithmic differentiation"
Found 3 essays containing the words Adjoint algorithmic differentiation.
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1. Consistent Projection of the Balance Sheet : A Holistic Approach to Modelling Interest Rate Risk in the Banking Book
University essay from KTH/Matematik (Avd.)Abstract : When modelling risk in the banking book, a simple capital level approach can fail to capture the interactions between different risk measures or risk classes since they are modelled separately. In this thesis we propose a model for projecting the book value of a run-off balance sheet portfolio of fixed and variable rate loans, while also calculating net interest income, economic value of equity, capital requirement and capital cost within the same model. READ MORE
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2. Calibrating the Hull-White model using Adjoint Algorithmic Differentiation
University essay from KTH/Matematisk statistikAbstract : This thesis includes a brief introduction to Adjoint Algorithmic Differentiation (AAD), accompanied by numerical examples, step-by-step explanations and runtime comparisons to a finite difference method. In order to show the applicability of AAD in a stochastic setting, it is also applied in the calculation of the arbitrage free price and partial derivatives of a European call option, where the underlying stock has Geometric Brownian motion dynamics. READ MORE
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3. Efficient Sensitivity Analysis using Algorithmic Differentiation in Financial Applications
University essay from KTH/Matematisk statistikAbstract : One of the most essential tasks of a financial institution is to keep the financial risk the institution is facing down to an acceptable level. This risk can for example be incurred due to bought or sold financial contracts, however, it can usually be dealt with using some kind of hedging technique. READ MORE