In: Finance
A mortgage of 198,000 is to be amortized by monthly payments over 22.5 years. If the payments are mafe at the end of each month and interest is 8.75% compounded semi-amnually, what is the size of monthly payments?
First we have to compute the semi-annual rate to EAR and then monthly rate | ||||
EAR = | 8.94% | |||
(1+8.75%/2)^2-1 | ||||
Annual rate compounding monthly = | 8.59% | |||
((1+8.94%)^(1/12)-1)*12 | ||||
Put in calculator | ||||
FV | 0 | |||
PV | -198000 | |||
I | 8.59%/12 | 0.7162% | ||
N | 22.5*12 | 270 | ||
compute PMT | $1,659.78 | |||
ans = | $1,659.78 | |||