00:01
Hello, welcome to this lesson.
00:03
In this lesson, we will look for the quarterly payment given that we have a rate of 4 .6 percent.
00:12
The compounds quarterly, you have a time of 10 years.
00:15
The compounding times of 4 and we have a present value of $18 ,000.
00:24
So here the quarterly payment would be equal to the rate times the present value.
00:36
So let the rate be our star because we will change it.
00:41
We divide it by 4 to reflect the quarterly compounding interest, right? then divide it by 1 minus 1 plus this rate to the power negative, the number of compounding times and the time.
01:08
So here we'll have the quarterly payment, which is equal to 0 .046.
01:17
That is 4 .6 percent divided by the number of compounding times.
01:26
Then we'll have the present value, which is $18 ,000...