论文标题
Sincov的和其他功能方程以及负利率
Sincov's and other functional equations and negative interest rates
论文作者
论文摘要
调查在日期$ s $ t $ t $ t $“自然”条件$ f(k,s,s,t)\ geq k $的未来价值$ f(k,s,t)$ a $ k $的资本$ k $,因为奇怪的事实是负利率的奇怪事实。这导致了描述乘法sincov方程的可能解决方案$ f(s,u)= f(s,t)f(t,u)$ for $ s \ leq t \ leq uq u $,其中$ f(s,t)= 0 $可能发生。在本文中,我们解决了这项任务,并讨论了与投资理论的联系。
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.