There are several extensions of this work which we are currently exploring. One has to do with the inclusion of variations in the tax rates and a VAT collection/audit mechanism. VAT must be paid periodically by the firm (every three months) and is subject to audits which are semi-independent from those for the firm's annual tax statements and carry their own penalties. Our model could be augmented to include VAT-compliance states and some "coupling" with the regular audit process, so that, for example, non-payment of VAT raises the probabilities of the firm having its main tax declaration audited.
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