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Computational Finance on the GPU

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Finite Differences<br />

• Solve <strong>the</strong> Partial Differential Equati<strong>on</strong> iteratively<br />

– Divide <strong>the</strong> life of <strong>the</strong> derivative into equal intervals<br />

of length Δt<br />

– Divide <strong>the</strong> range of stock prices [0,S max] into equal<br />

intervals of size ΔS<br />

• Work backwards in time, compute <strong>the</strong> value at<br />

each node

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