複利

提前還款時計算攤銷金額

  • July 9, 2018

如何確定提前首期還款的貸款的固定還款金額?

例子:

Loan Amount: $100  
Interest: 10%  
Loan Date: January 1st, 2018
First Payment Date: January 15th, 2018 
Term: 10 Years, payments made yearly on January 15th

通常我會使用下面的攤銷支付公式,但在這種情況下它似乎不起作用。我的猜測是需要將P調整得更小一些,但目前尚不清楚如何計算。

在此處輸入圖像描述

如圖所示

計算14天應計利息,加到本金s中。然後計算到期年金的定期付款。

p = 100
r = 0.10
n = 10

s = p (1 + r)^(14/365) = 100.366
a = s (r/(1 - (1 + r)^-n))*1/(1 + r) = 14.8492

定期付款為 14.85 美元

有關普通年金和到期年金之間區別的更多資訊,請參閱年金的現值和未來值

引用自:https://money.stackexchange.com/questions/97257