Respuesta :
Given:-
Value of Home = $150000
Down payment = 20% of $150000 = $30000
Loan Amount = $150000 - $30000 = $120000
Interest on Loan = 13.3/4% or 13.75%
Duration of Loan = 25Year
Calculation:-
Interest per month = 13.75%/12 =0.0114583333333333 % or 0.011458%
No. of months payment required = 25 years x 12 Months = 300 Months
To Calculated the monthly mortgage payment:-
The formula is M = P*i*(1 + i)^n/(1+i)^n – 1
Where M is monthly payment of Mortgage
P = principal amount of Loan = $120000
i = interest per month = 0.011458%
n=duration of loan in months = 300 months
When we apply the formula:
M = $120000*[0.011458*(1+0.011458)^300/(1+0.011458)^300-1]
= $120000*[0.011458*(1.011458)^300/(1.011458)^300-1]
=$120000*[0.011458*30.50697/30.5067-1]
=$120000*[0.011458*30.50697/29.50697]
=$120000*[0.349559/29.50697]
=$120000*0.011847 =$1421.60
So,Morgage payment Per month $1421.60
Period 1
Interest for 1st period = $120000 x0. 011458 = $1374.96
Pricipal Amount paid = $1421.60 -$1374.96 =$46.64
Balance in Principal amount = $120000-$46.64 =$119953.36
Period 2
Interest for 1st period = $119953.36 x0. 011458 =$1374.43
Pricipal Amount paid = $1421.60 -$1374.43 =$47.17
Balance in Principal amount = $119953.36 - $47.17 =$119906.19
Value of Home = $150000
Down payment = 20% of $150000 = $30000
Loan Amount = $150000 - $30000 = $120000
Interest on Loan = 13.3/4% or 13.75%
Duration of Loan = 25Year
Calculation:-
Interest per month = 13.75%/12 =0.0114583333333333 % or 0.011458%
No. of months payment required = 25 years x 12 Months = 300 Months
To Calculated the monthly mortgage payment:-
The formula is M = P*i*(1 + i)^n/(1+i)^n – 1
Where M is monthly payment of Mortgage
P = principal amount of Loan = $120000
i = interest per month = 0.011458%
n=duration of loan in months = 300 months
When we apply the formula:
M = $120000*[0.011458*(1+0.011458)^300/(1+0.011458)^300-1]
= $120000*[0.011458*(1.011458)^300/(1.011458)^300-1]
=$120000*[0.011458*30.50697/30.5067-1]
=$120000*[0.011458*30.50697/29.50697]
=$120000*[0.349559/29.50697]
=$120000*0.011847 =$1421.60
So,Morgage payment Per month $1421.60
Period 1
Interest for 1st period = $120000 x0. 011458 = $1374.96
Pricipal Amount paid = $1421.60 -$1374.96 =$46.64
Balance in Principal amount = $120000-$46.64 =$119953.36
Period 2
Interest for 1st period = $119953.36 x0. 011458 =$1374.43
Pricipal Amount paid = $1421.60 -$1374.43 =$47.17
Balance in Principal amount = $119953.36 - $47.17 =$119906.19