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Some Considerations in reference to the Fall in the Rate of Interest experienced in the Past, and the Probability of its Continuance

Published online by Cambridge University Press:  18 August 2016

Extract

“The rate of interest has fallen.” “The rate of interest is falling.” “The rate of interest will probably continue to fall.” These sentences, and others of a similar nature, we have read so often, that I fear it is quite possible “familiarity” may, to some extent, have had its usual effect. The fact remains, however, that any further fall in the interest yield is of vital importance to insurance companies with large funds to invest, and bound by contracts, the fulfilment of which depends, to a large extent, on the rate of interest obtainable.

Type
Research Article
Copyright
Copyright © Institute and Faculty of Actuaries 1899

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References

page 500 note * The two fractions and are nearly equal. is calaulated at rate a, which may be assumed to be a low rate of interest. , where c= ½a(n+ 1) approximately. Also is calculated at rate 2a+a2, or, approximately, 2a; and therefore we shall have, approximately, if n is not greater than say 20, . But since c is small approximately.

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