On influence of the Taylor series remainder on unanticipated rates of return on fixed income bond portfolios

被引:0
|
作者
Olbrys, J [1 ]
机构
[1] Univ Bialystok, Inst Math, PL-15267 Bialystok, Poland
来源
CONTROL AND CYBERNETICS | 1999年 / 28卷 / 04期
关键词
fixed income bonds; bond portfolios; rate of return; Taylor series; duration; convexity;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Changes in spot rates, unknown appriori to investors, induce unanticipated rates of return on all financial market instruments. In this paper we introduce and investigate a concept of the rest of a. bond. The concept is related to the Taylor series remainder and gives a better approximation to an unanticipated rate of return of fixed income bonds and bond portfolios. It is shown that the rest of the portfolio composed of fixed income bonds is a convex combination of the rests of these bonds. A stronger version of the theorem on rates of return on fixed income bond portfolios is given.
引用
收藏
页码:789 / 797
页数:9
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