Essays about: "Stochastic dynamic programming"

Showing result 1 - 5 of 19 essays containing the words Stochastic dynamic programming.

  1. 1. Merton's Portfolio Problem under Jourdain--Sbai Model

    University essay from Mälardalens universitet/Akademin för utbildning, kultur och kommunikation

    Author : Sajedeh Saadat; [2023]
    Keywords : Merton’s Optimal Investment-Consumption Problem; Dynamic Programming; Hamilton-Jacobi-Bellman equation; Stochastic Volatility Model; Finite-difference method; Crank-Nicolson.;

    Abstract : Portfolio selection has always been a fundamental challenge in the field of finance and captured the attention of researchers in the financial area. Merton's portfolio problem is an optimization problem in finance and aims to maximize an investor's portfolio. READ MORE

  3. 2. Merton's Portfolio Problem under Grezelak-Oosterlee-Van Veeren Model

    University essay from Mälardalens universitet/Akademin för utbildning, kultur och kommunikation

    Author : Tara Romsäter; [2023]
    Keywords : Merton s Optimal Investment-Consumption Problem; Dynamic Programming; Hamilton-Jacobi-Bellman equation; Stochastic Volatility Model.;

    Abstract : Merton’s Optimal Investment-Consumption Problem is a classic optimization problem in finance. It aims to find the optimal controls for a portfolio with both risky and risk-less assets, inorder to maximize an investor’s utility function. READ MORE

  4. 3. Optimal Control of An Energy Storage System Providing Fast Charging and Ancillary Services

    University essay from KTH/Optimeringslära och systemteori

    Author : Max Völcker; Hugo Rolff; [2023]
    Keywords : Optimal Control; Model Predictive Control; Dynamic Programming; State-Space Representation; Monte Carlo Simulation; Frequency Regulation; Fast Charging; Energy Storage Systems; Net Present Value; Optimal styrteori; Modell-prediktiv reglering; Dynamisk programmering; Frekvensreglering; Snabbladdning; Energilager; Nuvärde;

    Abstract : In this thesis, we explore the potential of financing a fast charging system with energy storage by delivering ancillary services from the energy storage in an optimal way. Specifically, a system delivering frequency regulation services FCR-D Up and FCR-D Down in combination with energy arbitrage trading is considered. READ MORE

  5. 4. On Merton's Portfolio Problem : A Stochastic Optimal Control Problem

    University essay from Umeå universitet/Institutionen för matematik och matematisk statistik

    Author : Hugo Jacobsson; [2022]
    Keywords : ;

    Abstract : The purpose of this thesis is to examine and solve a classic financial optimization problem known as Merton’s Portfolio Problem. The problem is driven by a stochastic process and can thereby be classified as a stochastic optimal control problem. READ MORE

  6. 5. Deep learning for portfolio optimization

    University essay from Linnéuniversitetet/Institutionen för matematik (MA)

    Author : JOHN N. MBITI; [2021]
    Keywords : Portfolio optimization; optimal portfolio; jump diffusion; Itô-Lévy process; stochastic control; dynamic programming; HJB equation; utility optimization; stochastic gradient descent; Deep learning; neural network.;

    Abstract : In this thesis, an optimal investment problem is studied for an investor who can only invest in a financial market modelled by an Itô-Lévy process; with one risk free (bond) and one risky (stock) investment possibility. We present the dynamic programming method and the associated Hamilton-Jacobi-Bellman (HJB) equation to explicitly solve this problem. READ MORE