My best understanding is that whatever your principal balance is at the beginning of the month is multiplied by the current interest rate/12 (which gives you a monthly rate). Whatever figure you get is that month’s interest. Anything left over from your payment is applied to the principal.
For example, let’s say your current balance is $100,000, your interest rate is 6%, and your payment is $800. Your interest for the month is $500 ($100,000 * 6%/12); so the principal reduction is $300.
The longer you have the loan, the lower your principal balance becomes; so the less interest you pay (and more of each payment is applied to the principal)
mortgage amortization
m=1 annually compounded
m=2 semi=annual compounded (used in canada)
m=4 quarterly compounded
m=12 monthly compounded (used in united state)
m=52 weekly compounded
m=365 daily compounded
yr= no. of years amortized normally 25
n= m * yr
%int= percent annual interest
int= %int / 100 / m
pv= outstanding mortgage balance
F1= interest portion of the bi-weekly payment (decreases)
F1= pv * [(1 + int) ^ (m / 26) - 1]
24= there are 26 bi-weekly in a year (used 12 if the payment is monthly)
My best understanding is that whatever your principal balance is at the beginning of the month is multiplied by the current interest rate/12 (which gives you a monthly rate). Whatever figure you get is that month’s interest. Anything left over from your payment is applied to the principal.
For example, let’s say your current balance is $100,000, your interest rate is 6%, and your payment is $800. Your interest for the month is $500 ($100,000 * 6%/12); so the principal reduction is $300.
The longer you have the loan, the lower your principal balance becomes; so the less interest you pay (and more of each payment is applied to the principal)
mortgage amortization
m=1 annually compounded
m=2 semi=annual compounded (used in canada)
m=4 quarterly compounded
m=12 monthly compounded (used in united state)
m=52 weekly compounded
m=365 daily compounded
yr= no. of years amortized normally 25
n= m * yr
%int= percent annual interest
int= %int / 100 / m
pv= outstanding mortgage balance
F1= interest portion of the bi-weekly payment (decreases)
F1= pv * [(1 + int) ^ (m / 26) - 1]
24= there are 26 bi-weekly in a year (used 12 if the payment is monthly)
F2= equal payment factor
F2= [1 – (1 + int) ^ ( – n )
pmt= bi-weekly equal payment
pmt= F1 / F2
F3= principal portion of the bi-weekly payment
F3= pmt – F1 (increases)