A Comparison of Macaulay Approximations

Author:

Orfanos Stefanos C.ORCID

Abstract

We discuss several known formulas that use the Macaulay duration and convexity of commonly used cash flow streams to approximate their net present value, and compare them with a new approximation formula that involves hyperbolic functions. Our objective is to assess the reliability of each approximation formula under different scenarios. The results in this note should be of interest to actuarial candidates and educators as well as analysts working in all areas of actuarial practice.

Publisher

MDPI AG

Subject

Strategy and Management,Economics, Econometrics and Finance (miscellaneous),Accounting

Reference15 articles.

1. Using Duration and Convexity to Approximate Change in Present Value. SOA Financial Mathematics Study Note FM-24-17 https://www.soa.org/globalassets/assets/Files/Edu/2017/fm-duration-convexity-present-value.pdf

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