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 | ||||||||