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A Further Note on Unrecovered Investment, Uniqueness of the Internal Rate, and the Question of Project Acceptability

Published online by Cambridge University Press:  06 April 2009

Extract

In a recent issue of the Journal of Financial and Quantitative Analysis, Bernhard [2] has pointed out and discussed the seemingly paradoxical possibility that P < 0 even though there is a unique r in the [0, ∞) interval, and that r > it for all t. He showed that this can happen when there are one or more additional values of r in the (−1, 0) interval or when the unique r in the [0, ∞) interval consists of multiple coinciding roots. The further point to be shown here is that it can also happen even when r is unique and simple in the (−1, ∞) interval. Thus the phenomenon is considerably more general than Bernhard had implied.

Type
Research Article
Copyright
Copyright © School of Business Administration, University of Washington 1980

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References

REFERENCES

[1]Bernhard, Richard H.A Comprehensive Comparison and Critique of Discounting Indices Proposed for Capital Investment Evaluation.” The Engineering Economist, Vol. 16, No. 3 (Spring 1971), pp. 157–186.Google Scholar
[2[Berhard, Richard H.Unrecovered Investment, Uniqueness of the Internal Rate, and the Question of Project Acceptability.” Journal of Financial and Quantitative Analysis, Vol. 12, No. 1 (03 1977), pp. 3338.CrossRefGoogle Scholar
[3[Bernhard, Richard H.A Simplification and an Extension of the Bernhard-de Faro Sufficient Condition for a Unique Non-negative Internal Rate of Return.” Journal of Financial and Quantitative Analysis, Vol. 15, No. 1 (03 1980), pp. 201209.CrossRefGoogle Scholar
[4[Norstrϕm, Carl J.A Modification of the Internal Rate of Return Method.” Statstϕkonomisk Tidsskrift, No. 4 (1971), pp. 214231.Google Scholar
[5[Norstrϕm, Carl J.A Sufficient Condition for a Unique Non–negative Internal Rate of Return.” Journal of Financial and Quantitative Analysis, Vol. 7, No. 3 (03 1972), pp. 18351839.Google Scholar
[6[Soper, C. S.The Marginal Efficiency of Capital: A Further Note.” The Economic Journal, Vol. 69, No. 273 (03 1959), pp. 174177.Google Scholar
[7[Turnbull, H. W.Theory of Equations (fifth ed.) Edinburgh: Oliver and Boyd, Ltd. (1952).Google Scholar