Norberg, Ragnar Payment measures, interest, and discounting. An axiomatic approach with applications to insurance. (English) Zbl 0734.62100 Scand. Actuarial J. 1990, No. 1-2, 14-33 (1990). This paper presents an axiomatic approach to time-dependent forces of interest. Starting with a set of reasonable axioms, the author determines a wide class of consistent valuation rules for payment streams, which are represented as measures on the real line. Some actuarial applications are given. Reviewer: E.Shiu (Winnipeg) Cited in 1 ReviewCited in 15 Documents MSC: 62P05 Applications of statistics to actuarial sciences and financial mathematics 91B28 Finance etc. (MSC2000) Keywords:axiomatic approach; time-dependent forces of interest; consistent valuation rules; payment streams PDF BibTeX XML Cite \textit{R. Norberg}, Scand. Actuarial J. 1990, No. 1--2, 14--33 (1990; Zbl 0734.62100) Full Text: DOI OpenURL References: [1] Aczel J., Lectures on functional equations and their applications (1966) [2] Berger A., Mathematik der Lebensversicherung (1939) · Zbl 0021.34201 [3] Billingsley P., Convergence of probability measures (1968) · Zbl 0172.21201 [4] Billingsley P., Probability and measure (1979) · Zbl 0822.60002 [5] Donald D. W. A., Compound interest and annuities certain (1970) · Zbl 0053.41703 [6] Hoem J. M., Blätter der Deutschen Gesellschaft für Versicherungsmathematik 9 pp 91– (1969) [7] Hoem J. M., Scand. Actuarial J. 1978 pp 38– (1978) · Zbl 0377.62067 [8] Karr A. F., Point processes and their statistical inference (1986) · Zbl 0601.62120 [9] Roberts L., J. Institute of Actuaries 111 pp 555– (1984) [10] Royden H. L., Real analysis (1963) [11] Simonsen W. dy1964, Rentesregning This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.