A Survey on Quantum Computational Finance for Derivatives Pricing and VaR
Andrés Gómez, Álvaro Leitao, Alberto Manzano, Daniele Musso, María R. Nogueiras, Gustavo Ordóñez, Carlos Vázquez
Abstract
Abstract We review the state of the art and recent advances in quantum computing applied to derivative pricing and the computation of risk estimators like Value at Risk. After a brief description of the financial derivatives, we first review the main models and numerical techniques employed to assess their value and risk on classical computers. We then describe some of the most popular quantum algorithms for pricing and VaR. Finally, we discuss the main remaining challenges for the quantum algorithms to achieve their potential advantages.
Topics & Concepts
Computational financeEstimatorQuantum computerComputationComputer scienceQuantumDerivative (finance)Value at riskValuation of optionsApplied mathematicsMathematical optimizationFinanceMathematicsAlgorithmEconometricsRisk managementEconomicsPhysicsQuantum mechanicsStatisticsQuantum Computing Algorithms and ArchitectureQuantum Information and CryptographyQuantum Mechanics and Applications