APR 的公式如何写

z
zihe1997
楼主 (未名空间)

Home load amount: $250,000
Down Payment: 20%
Loan Term: 30 years
Interest Rate: 4.5%
Loan Fees: $1500

Online calculator returns the following: ( https://www.calculator.net/apr-
calculator.html )
Real ARP: 4.564%
Down Payment: $50,000
Monthly Pay: $1,013.37
Total of 360 Payments:$364.813.42

如果不用这个online calculator, how to write a formula to calculator ARP in
order to get the 4.564%

感谢回复!!

l
littlewhite

APR没有直接的公式,直接计算都是用试差法获得的。

PMT = PV * r / (1 - (1+r)^(-N))

首先用借款现值 PV = 200,000 (80% of 250,000), N = 12 * 30, r0=名义APR/12,
计算每月付款值 PMT
PV = 200,000
N = 360
r0 = 0.375%
PMT = 1013.37

因为1500的收费, 所以实际到手借款值不是 200,000, 而是 198,500。 用PV' =
185,000代入公式,反算月利率r'。 实际APR就是12*r'

PV = 198,500
N = 360
PMT = 1013.37
r'= 0.3803599%
实际APR = 4.5643%