arXiv Open Access 2022

Sincov's and other functional equations and negative interest rates

Gergely Kiss Jens Schwaiger

Lihat Sumber

Abstrak

Investigating the future value $F(K,s,t)$ of a capital $K$ invested at date $S$ at date $t$ the "natural" condition $F(K,s,t)\geq K$ has lost its naturality because of the strange fact of negative interest rates. This leads to the task of describing the possible solutions of the multiplicative Sincov equation $f(s,u)=f(s,t)f(t,u)$ for $s\leq t\leq u$, where $f(s,t)=0$ may happen. In this paper we solve this task and discuss connections to the theory of investments.

Topik & Kata Kunci

math.CA

Penulis (2)

Gergely Kiss

Jens Schwaiger

Format Sitasi

APA MLA BibTeX

Kiss, G., Schwaiger, J. (2022). Sincov's and other functional equations and negative interest rates. https://arxiv.org/abs/2210.02250

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓