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
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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](/uploads/image/z/8681126-14-6.jpg?t=A+loan+of+%24100%2C000+is+taken+out+from+a+bank+with+a+nominal+interest+rate+of+8%25+p.a..If+the+monthly+repayments+are+continously+compounded+over+a+12-year+period%2Ccalculate+the+size+of+a+monthly+repayment.%E4%B8%8D%E6%98%AF%E7%BF%BB%E8%AF%91%E9%A2%98%EF%BC%8C%E6%98%AF%E8%AE%A1%E7%AE%97%E9%A2%98%E5%93%A6)
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
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
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
Margaret. Julie