A loan of $100,000 is taken out from a bank with a nominal i

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A loan of $100,000 is taken out from a bank with a nominal interest rate of 8% p.a..If the monthly repayments are continously compounded over a 12-year period,calculate the size of a monthly repayment.
不是翻译题，是计算题哦

这题题目很简单,无非就是借贷100000美金,名义利率8%,分月偿还,12年还清,问每个月换多少
很简单,建立一个等式,每个月的偿还金额的现值之和=100000即可
设每月偿还A
现在的主要问题是月利率的计算
（1）若按照连续复利计算,那么月利率就是e^(8%/12) -1
那么等式就是
A*e^[(8%/12)*(-1)]+A*e^[(8%/12)*(-2)]+A*e^[(8%/12)*(-3)]+……+A*e^[(8%/12)*(-144)]=100000
左边是个等比数列,共144项(12年每年12个月),用等比数列求解即可
（2）若月利率不是按照连续复利计算
那么等式就是
A*(1+8%/12)^(-1)+A*(1+8%/12)^(-2)+A*(1+8%/12)^(-3)+……+A*(1+8%/12)^(-144)=100000
方法和前面一样
我不是学金融的,对银行的实际利率怎么算并不是十分清楚,以上都是基于课本的知识
再问：有没有简化的公式呢，第一个中的式子这么长要怎么算出A呢？
再答：用等比公式 A1+A2+A3+……A144=A1*(1-q^144)/(1-q) 这个q就是公比我手头没草稿纸，晚点可以帮你算我qq281600880，你加下

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