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Quantum computational finance: Monte Carlo pricing of financial derivatives

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arxiv 1805.00109 v2 pith:ARBISI2W submitted 2018-04-30 quant-ph

Quantum computational finance: Monte Carlo pricing of financial derivatives

classification quant-ph
keywords quantumderivativesfinancialalgorithmcarlofinancemontepayoff
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Financial derivatives are contracts that can have a complex payoff dependent upon underlying benchmark assets. In this work, we present a quantum algorithm for the Monte Carlo pricing of financial derivatives. We show how the relevant probability distributions can be prepared in quantum superposition, the payoff functions can be implemented via quantum circuits, and the price of financial derivatives can be extracted via quantum measurements. We show how the amplitude estimation algorithm can be applied to achieve a quadratic quantum speedup in the number of steps required to obtain an estimate for the price with high confidence. This work provides a starting point for further research at the interface of quantum computing and finance.

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Cited by 2 Pith papers

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  2. Quantum Derivative Pricing for SPDEs via BDSDE Representation

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    Quantum-accelerated MLMC methods for BDSDE-based SPDE derivative pricing and Greeks achieve sampling complexity improvement from O(ε^{-2}) to O(ε^{-1}).