Computational Finance on the GPU

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Finite Differences - Implicit • Relationship: – Three values at t and one value at t + Δt • Always converges to solution • Requires solving simultaneous equations
Finite Differences - Explicit • Relationship: – One value at t and three values at t + Δt • Compute nodes in parallel • Can diverge from solution
Page 1 and 2: Computational <str
Page 3 and 4: AGENDA Financial Instruments Who’
Page 5 and 6: Financial Instruments Cash Instrume
Page 7 and 8: Commodities • Raw resource - Agri
Page 9 and 10: Foreign Exchange • Also: Forex or
Page 11 and 12: Example: Options • Holder has the
Page 13 and 14: Traders • Trading: - Standardised
Page 15 and 16: Quants • Develop and implement mo
Page 19 and 20: Traders • Determine price for tra
Page 23 and 24: Binomial Trees • Represent possib
Page 25 and 26: Binomial Trees
Page 27: Finite Differences • Solve the Pa
Page 31 and 32: Explicit Finite Differences on the
Page 33 and 34: Monte Carlo • Sample a random wal
Page 35 and 36: Monte Carlo on the GPU Generate Ran
Page 37 and 38: Monte Carlo - Single Kernel parfor
Page 39 and 40: Software legacy • Millions of lin
Page 41 and 42: Case Study: Equity Derivatives 15 1
Page 43 and 44: Case Study: Real-time Options 1 Sam
Page 47: Resources • GTC presentations - <

Computational Finance on the GPU

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