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 | |||