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引用次数: 0
摘要
我们在本文中提出了一种通过复制现金流来验证 n 期定期分期付款中不存在锐减现象的方法。现金流是通过递归构建一个适当的 n 个连续的单期贷款序列得到的,每笔贷款的周期利率为 i,每笔贷款在单期结束时偿还本金和利息。由于每笔基本交易都是在一个时间单位内完成的,因此不可能出现利滚利的情况,也就排除了锐减的可能性。因此,必须承认这一特征也适用于有 n 个定期分期付款期的贷款摊还表,其现金流完全由所获得的唯一贷款序列复制。
Amortization dismantling to remove any doubt of anatocism
We propose in this paper a method for verifying the non-existence of anatocism in a periodic amortization with n periodic installments, by the replication of its cash flows. The cash flows are obtained by recursively constructing an appropriate sequence of n consecutive single period loans, at the periodic interest rate i, each one with repayment of principal and interest at the end of the single period. Since each elementary transaction is concluded within one time unit, there is no possibility of interest accruing on interest and hence anatocism is ruled out. Therefore, this characteristic must be acknowledged to be valid also for the loan amortization schedule with n periodic installments whose cash flows are perfectly replicated by the unique loan sequence obtained.
期刊介绍:
Decisions in Economics and Finance: A Journal of Applied Mathematics is the official publication of the Association for Mathematics Applied to Social and Economic Sciences (AMASES). It provides a specialised forum for the publication of research in all areas of mathematics as applied to economics, finance, insurance, management and social sciences. Primary emphasis is placed on original research concerning topics in mathematics or computational techniques which are explicitly motivated by or contribute to the analysis of economic or financial problems.