Essays about: "Cox-Ingersoll-Ross process."

Found 5 essays containing the words Cox-Ingersoll-Ross process..

  1. 1. Financial Modelling Using Fractional Processes And The Wiener Chaos Expansion

    University essay from KTH/Matematik (Avd.)

    Author : Olof Hummelgren; [2022]
    Keywords : fractional Brownian motion; fBM; applied mathematics; Wiener chaos expansion; Wick product; Hurst parameter; fraktionell Brownsk rörelse; tillämpad matematik; Wiener kaosexpansion; Wickprodukt; Hurstparameter;

    Abstract : The aim of this thesis is to simulate stochastic models that are driven by a fractional Brownian motion process and to apply these methods to financial applications related to yield rate and asset price modelling. Several rough volatility processes are used to model the asset price and yield dynamics. READ MORE

  3. 2. Interest rate modelling

    University essay from Lunds universitet/Matematisk statistik

    Author : Khalil el Adi; [2019]
    Keywords : Mathematics and Statistics;

    Abstract : Many models have been developed throughout the years to describe the evolution of short term rates. One of the famous models is the Vasicek model. It was first introduced in 1977 and describes interest rates as a mean reversion process which is a specific characteristic that sets it apart from other financial assets. READ MORE

  4. 3. Simulation of diffusion bridges for stochastic differential equations

    University essay from Lunds universitet/Matematisk statistik

    Author : Daniel Damberg; [2017]
    Keywords : Diffusionbridge; MarkovchainMonteCarlo; Stochasticdifferentialequation; Linear noise approximation; Mathematics and Statistics;

    Abstract : The simulation of diffusion bridges is a difficult statistical problem, and methods for this are attracting a great deal of attention. Analytically, the conditioning on a future pointintroducesasecondtermtothedriftoftheSDEthatincludesthetransitiondensity of the unconditioned process. READ MORE

  5. 4. Credit Value Adjustment: The Aspects of Pricing Counterparty Credit Risk on Interest Rate Swaps

    University essay from KTH/Matematisk statistik

    Author : Martin Hellander; [2015]
    Keywords : OTC derivatives; Credit Value Adjustment; Debit Value Adjustment; wrongway risk; interest rate swaps; LIBOR Market Model; Cox-Ingersoll-Ross process.;

    Abstract : In this thesis, the pricing of counterparty credit risk on an OTC plain vanilla interest rate swap is investigated. Counterparty credit risk can be defined as the risk that a counterparty in a financial contract might not be able or willing to fulfil their obligations. This risk has to be taken into account in the valuation of an OTC derivative. READ MORE

  6. 5. On Calibrating an Extension of the Chen Model

    University essay from KTH/Matematisk statistik

    Author : Martin Möllberg; [2015]
    Keywords : ;

    Abstract : There are many ways of modeling stochastic processes of short-term interest rates. One way is to use one-factor models which may be easy to use and easy to calibrate. Another way is to use a three-factor model in the strive for a higher degree of congruency with real world market data. Calibrating such models may however take much more effort. READ MORE