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Derivation and accuracy of the ‘rule of 72'†

 

作者: KeithA. Blatner,   W.Murray Cross,  

 

期刊: International Journal of Mathematical Education in Science and Technology  (Taylor Available online 1989)
卷期: Volume 20, issue 5  

页码: 723-729

 

ISSN:0020-739X

 

年代: 1989

 

DOI:10.1080/0020739890200510

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

For an investment with annually compounded interest the time required for it to double can be quickly estimated by using the ‘rule of 72’ (years to double = 72/percent annual interest). A simple derivation for the rule and an evaluation of its accuracy are presented. Results indicate the rule errs by less than l1/2 months for interest rates between 6 and 12 per cent, and by less than 21/2 months for rates between 5 and 21 per cent, and by less than 31/2 months for 4‐3 per cent or any larger rate.

 

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