Essays about: "Backward Stochastic Differential Equations"
Found 3 essays containing the words Backward Stochastic Differential Equations.
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1. Exploring backward stochastic differential equations and deep learning for high-dimensional partial differential equations and European option pricing
University essay from Mälardalens universitet/Akademin för utbildning, kultur och kommunikationAbstract : Many phenomena in our world can be described as differential equations in high dimensions. However, they are notoriously challenging to solve numerically due to the exponential growth in computational cost with increasing dimensions. READ MORE
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2. Pricing and Hedging of Financial Instruments using Forward–Backward Stochastic Differential Equations : Call Spread Options with Different Interest Rates for Borrowing and Lending
University essay from Mälardalens universitet/Akademin för utbildning, kultur och kommunikationAbstract : In this project, we are aiming to solve option pricing and hedging problems numerically via Backward Stochastic Differential Equations (BSDEs). We use Markovian BSDEs to formulate nonlinear pricing and hedging problems of both European and American option types. READ MORE
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3. Stochastic Partial Differential Equations with Multiplicative Noise - Numerical simulations of strong and weak approximation errors
University essay from Göteborgs universitet/Institutionen för matematiska vetenskaperAbstract : A finite element Galerkin spatial discretization together with a backward Euler scheme is implemented to simulate strong error rates of the homogeneous stochastic heat equation with multiplicative trace class noise in one dimension. For the noise, two different operators displaying different degrees of regularity are considered, one of which is of Nemytskii type. READ MORE
