In: Finance
You purchase a cottage for $185,000. You obtain a 25-year, fixed rate mortgage loan at 12.5% after paying a down payment of 25%. Of the second month's mortgage payment, how much is applied to the principal ? (Round your answers to the nearest cent.)
| Given that | |||||||||
| Loan amount | 185000*75% | 138750 | |||||||
| Term= | 15 | ||||||||
| Interest rate =12.5%/12 | 1.042% | per mth | |||||||
| to compute Monthly payment required we have to use financial calculator | |||||||||
| put in calculator- | |||||||||
| FV | 0 | ||||||||
| PV | -138750 | ||||||||
| I | 1% | ||||||||
| N | 25*12 | 300 | |||||||
| compute PMT | $1,512.87 | ||||||||
| Lets compute the 2nd month principal amount | |||||||||
| Month 1 | |||||||||
| Beginning loan amount | 138750 | ||||||||
| Add | Interest @ 1.042% | 1445.3125 | |||||||
| Less | EMI = | $1,512.87 | |||||||
| Month 1 closing loan balance = | $138,682.45 | ||||||||
| 2nd month | |||||||||
| i | Beginning loan amount | $138,682.45 | |||||||
| ii | Interest @ 1.042% | $1,444.61 | |||||||
| iii | EMI = | $1,512.87 | |||||||
| iv=iii-ii | Therefore principal paid = | $68.26 | |||||||
| ans = | $68.26 | ||||||||