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In a lease agreement, when it comes to determine the residual debt at a given date in case of insolvency or continuous arrears (i.e. an early termination, before the maturity of the lease plan), often the contract decides upon the penalties and some lump sum refund for impairment. Accounting purposes require both the lessor and the lessee to calculate separately for the amount of the outstanding debt and the agreed-upon for the impairment and the penalties. In this paper, the authors propose a model for a precise ...