关于连续复利计算模型的辩正  

Argument About Caculation Model of the Continuous Compounded Rate Formula

作　　者：高明辉[1] 韩晓东[2] 邢士宾[2] 高俊科[2] 

机构地区：[1]中央广播电视大学教学资源管理处,北京100031 [2]河北广播电视大学,河北石家庄050071

出　　处：《数学的实践与认识》2011年第4期99-108,共10页Mathematics in Practice and Theory

摘　　要：连续复利计算公式推导的基础是复利的分期计算公式,连续复利计算公式又是推导资金流现值计算公式的基础.连续复利计算公式最早出现在数学读物中的时间至少已有80年,现存在于国内外经济管理类许多数学教材中,在工科、文科类用的微积分和其它课程,例如,金融学、投资学、财务管理、技术经济学、工程经济学教材中也有讲述.然而,关于连续复利计算公式的推导和应用举例都是不对的.在连续复利计算公式基础上推导出的资金流现值公式也是不当的.复利分期计算、连续复利计算和资金流现值计算等应当有符合数学和经济规律的新公式.the foundation of the deduction of the continuously compounded rate formula is the formula which is calculated for periodic continuously compounded rate.The continuous compounded rate formula is also the foundation for the calculation of the capital flow present value.The continuously compounded rate formula is firstly appeared in textbook can be traced back to 80 years ago.At present this fault is broadly exiting in many engineering courses,liberal arts which including calculous inculcation and so on.This problem also broadly appears in some textbooks which inculcates finance,investment,technology economics, engineering economics and so on.However,those deductions and examples are all wrong and the course that for deduction of the capital flow present value formula from continuously compounded rate is also unsuitable.So there should be one new suitable formula for the calculations of periodic continuously compounded rate,continuously compounded rate and capital flow present value.

关 键 词：复利率 分期计算 连续计算 资金流现值 

分 类 号：F830[经济管理—金融学]