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State spaces of multifactor approximations of nonnegative Volterra processes

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abstract

We show that the state spaces of multifactor Markovian processes, coming from approximations of nonnegative Volterra processes, are given by explicit linear transformation of the nonnegative orthant. We demonstrate the usefulness of this result for applications, including simulation schemes and PDE methods for nonnegative Volterra processes.

fields

q-fin.PR 1

years

2025 1

verdicts

CONDITIONAL 1

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Rough Bergomi turns grey

q-fin.PR · 2025-05-13 · conditional · novelty 5.0

The grey Bergomi model adds a non-Gaussian 'grey' Brownian driver to rough Bergomi, producing new pricing and asymptotic formulas, but its joint SPX/VIX calibration remains inaccurate and can collapse back to the log-normal case.

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  • Rough Bergomi turns grey q-fin.PR · 2025-05-13 · conditional · none · ref 2 · internal anchor

    The grey Bergomi model adds a non-Gaussian 'grey' Brownian driver to rough Bergomi, producing new pricing and asymptotic formulas, but its joint SPX/VIX calibration remains inaccurate and can collapse back to the log-normal case.