Cruz Rambaud Salvador, Valls Martínez María Del Carmen, Segura Emilio Abad
Departamento de Economía y Empresa, Universidad de Almería, La Cañada de San Urbano, s/n (04120), Almería Spain.
Heliyon. 2018 Oct 16;4(10):e00859. doi: 10.1016/j.heliyon.2018.e00859. eCollection 2018 Oct.
The objective of this paper is to design a loan repayment plan adapted to the financed company with the aim to avoid a possible situation of illiquidity. More specifically, in this paper the sequence of payments which amortizes a loan is determined according to the distribution of the future income expected by the borrower. To do this, we will start from the concept of a continuous distribution of capital or, equivalently, a continuous annuity. The continuous distribution of capital will be derived from a continuous distribution of probability, to then obtain a discrete annuity which fits the future income of the debtor. On the other hand, it is noteworthy the analysis of the particular case of financial transactions with interest periods of different amplitude, which can facilitate the adjustment of the sequence of instalments to the timing of the real income of the borrower in loan transactions.
本文的目的是设计一个适合融资公司的贷款偿还计划，以避免可能出现的流动性不足情况。更具体地说，本文根据借款人预期的未来收入分布来确定偿还贷款的支付顺序。为此，我们将从资本连续分布的概念出发，或者等效地，从连续年金的概念出发。资本的连续分布将从概率的连续分布推导得出，进而得到一个适合债务人未来收入的离散年金。另一方面，值得注意的是对不同期限利息的金融交易特殊情况的分析，这有助于在贷款交易中将分期还款顺序调整为借款人实际收入的时间安排。
