Essays about: "option pricing with finite difference"
Showing result 1 - 5 of 10 essays containing the words option pricing with finite difference.
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1. Numerical solution for derivative models using finite difference methods and how this can be used with Monte Carlo simulation
University essay from Lunds universitet/Matematisk statistikAbstract : Derivative models often come in the form of stochastic differential equations. From these equations a partial differential equation (PDE) can be derived. By discretizing the PDE the numerical solution is obtained on a form where the value of the derivative can be seen as a probabilistic weighting of future values. READ MORE
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2. Measuring the Risk-neutral Probability Distribution of Equity Index Options
University essay from Linköpings universitet/ProduktionsekonomiAbstract : The focus of this master thesis is to develop a model that measures the risk-neutral probability distributionof the future value of a portfolio consisting of options on the S&P 500 index. The cornerstone of the model is an explicit and thorough construction of the local volatility surface. The parametric model of Coleman etal. READ MORE
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3. Smoothing of initial conditions for high order approximations in option pricing
University essay from Uppsala universitet/Avdelningen för beräkningsvetenskapAbstract : In this article the Finite Difference method is used to solve the Black Scholes equation. A second order and fourth order accurate scheme is implemented in space and evaluated. The scheme is then tried for different initial conditions. First the discontinuous pay off function of a European Call option is used. READ MORE
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4. Stencil Study for RBF-FD in Option Pricing
University essay from Uppsala universitet/Institutionen för teknikvetenskaperAbstract : This thesis contains results on convergence studies for different stencils of radial basis function generated finite difference (RBF-FD) method applied to solving Black-Scholes equation for pricing European call options. The results experimentally confirm the theoretical convergence rates for smooth payoff functions with stencils of size 3, 5 and 7 in one- dimensional problems, and 9, 13 and 25 in two- dimensional problems. READ MORE
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5. Collateral choice option valuation
University essay from KTH/Matematisk statistikAbstract : A bank borrowing some money has to give some securities to the lender, which is called collateral. Different kinds of collateral can be posted, like cash in different currencies or a stock portfolio depending on the terms of the contract, which is called a Credit Support Annex (CSA). READ MORE