00:01
So we have a loan of $15 ,000 with an interest rate of 11 % or 0 .11 and payments made are equal to $929 semi -annually, so n is equal to 2.
00:22
And then we want to know how many payments will be required to amortize the loan.
00:29
Well, the formula is that the loan amount should equal your payment amount times 1 minus 1 plus r over n to the negative nt divided by r over n.
00:45
So this then tells me that the loan amount times r divided by n times the payment is equal to 1 minus 1 plus r over n to the negative nt.
01:11
That means that i can add this term to both sides and subtract this term from both sides and then i get 1 minus this is equal to this.
01:34
Is that right? hold on here.
01:39
So i add that term that puts it on the left and then i subtract the left term so that puts it in the negative position.
01:53
So yeah, i can do that 1 minus this is that.
02:05
And that means then that i have here 1 minus 15 ,000 times 0 .11 divided by 2 times 929 is equal to 1 .055 to the negative 2t.
02:37
And this here is equal to, so i have 15 ,000 times 1, 1 divided by 2 divided by 929 equals, subtract that from 1 and that means that i have 0 .11195 is equal to 1 .055 to the negative 2 to the t...