Essays about: "lognormal approximation"

Found 4 essays containing the words lognormal approximation.

  1. 1. Economic Capital Models : Methods for fitting loss distributions

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

    Author : William Fritzell; [2023]
    Keywords : Economic Capital; Distribution fitting; MCMC;

    Abstract : The thesis provides a well-researched classical approach to fit and predict the losses (extreme) for Lloyds Bank’s Dutch mortgage portfolio, their defaulted Dutch mortgage portfolio, and their German personal and car loan portfolio. This is a crucial piece for quantification of the economic loss, required for effective credit risk management by the Bank. READ MORE

  2. 2. Approximation of General Semi-Markov Models Using Expolynomials

    University essay from KTH/Matematisk statistik

    Author : Niklas Nyholm; [2021]
    Keywords : applied mathematics; Markov modelling; Semi-Markov process; approximation theory; expolynomial; phase-type distribution; reliability analysis; tillämpad matematik; Markov modellering; Semi-Markov process; approximations teori; expolynom; phase-type fördelning; riskanalys;

    Abstract : Safety analysis is critical when developing new engineering systems. Many systems have to function under randomly occurring events, making stochastic processes useful in a safety modelling context. However, a general stochastic process is very challenging to analyse mathematically. READ MORE

  3. 3. Combinatorial and price efficient optimization of the underlying assets in basket options

    University essay from KTH/Optimeringslära och systemteori

    Author : Sara Alexis; [2017]
    Keywords : Option pricing; correlated stochastic processes; Basket option; moment matching; lognormal approximation; binary nonlinear optimization; continuous nonlinear optimization; Monte Carlo simulation; penalty methods;

    Abstract : The purpose of this thesis is to develop an optimization model that chooses the optimal and price efficient combination of underlying assets for a equally weighted basket option. To obtain a price efficient combination of underlying assets a function that calculates the basket option price is needed, for further use in an optimization model. READ MORE

  4. 4. Valuation of Asian Options-with Levy Approximation

    University essay from Lunds universitet/Nationalekonomiska institutionen

    Author : Qian Zhang; Aleksandra Mraovic; [2014]
    Keywords : Asian options; Monte Carlo simulation; constant volatility; stochastic volatility; Business and Economics;

    Abstract : Asian options are difficult to price analytically. Even though they have attracted much attention in recent years, there is still no closed-form solution available for pricing the arithmetic Asian options, because the distribution of the density function is unknown. READ MORE