Optional Processes

Optional Processes

Theory and Applications

Melnikov, Alexander; Abdelghani, Mohamed

Taylor & Francis Ltd

04/2022

392

Mole

Inglês

9780367508517

15 a 20 dias

607

Descrição não disponível.
1. Spaces, Laws and Limits. 2. Stochastic Processes. 3. Martingales. 4. Strong Supermartingales. 5. Optional Martingales. 6. Optional Supermartingales Decomposition. 7. Calculus of Optional Semimartingales. 8. Optional Stochastic Equations. 9. Optional Financial Markets. 10. Defaultable Markets on Unusual Space. 11. Filtering of Optional Semimartingales. Bibliography. Index.
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Conditional Expectation;Snell Envelope;unusual probability spaces;Risk Neutral Valuation Formula;optional processes;Uniformly Integrable;strong martingales;Local Martingale;supermartingales;Continuous Local Martingale;Gronwall lemma;Self-financing Trading Strategy;stochastic calculus;Usual Conditions;mathematical finance;Defaultable Markets;Choquet's theorem;Doob Decomposition;stochastic differential equations;Integrable Random Variables;Paved Set;Finite Variation Process;Defaultable Claim;Reduced Form Models;Ex-dividend Price;Default Time;Monotone Class Theorem;Measurable Space;Choquet's Theorem;Default Process;Borel Subsets;Topological Space;Default Events;Section Theorem