00:01
In this problem we are given that the amount borrowed is $50 ,000 and the time period is 8 years and the rate of interest are is 9 % which is compounded monthly.
00:23
So this implies that the value of i would be 0 .09 divided by 12 that is 0 .0075.
00:34
This also implies that the value of n would be 8 times 12.
00:39
That is the number of installments is 8 times 12 which is 96.
00:44
So now making use of this given information, we need to find out that if after 4 years john decides to pay back the rest of the loan in a single payment, what would that amount be? so for that we need to find out the amount that has already been paid.
01:03
So, in order to do so, we use the formula a equals to p times 1 minus 1 plus i whole power negative n divided by i.
01:14
And we solve for p so that we can find out the amount of each installment, the payment of each installment.
01:25
So let us substitute the known values.
01:27
We have 50 ,000 equals to p times 1 minus 1 plus.
01:34
0 .0075 whole power negative 96 the whole divided by 0 .0075...