00:01
Hello everyone.
00:01
So here the interest per month is j is equal to 0 .06 divided by 12 that is equal to 0 .005.
00:19
And the effective annual interest is equal to 1 plus j whole to the power 12 that is equal to 1 plus i.
00:36
Therefore first we calculate the monthly payment.
00:40
Now there are 30 multiplied by 12.
00:48
That is equal to 360 months in 30 years.
00:57
Therefore, p .a.
01:07
360 j will be p 1 minus 1 plus j whole to the power minus 360 divided by j.
01:15
That is equal to p multiplied by 1 minus 1 .005 360 divided by 0 .00.
01:26
Therefore, the present value must be equal to the amount of loan then p 1 minus 1 .005 whole to the power minus 360 divided by 0 .005 is equal to 2 00 .0.
01:49
So solving p we will get p is equal to $1199 .1.
01:56
Now let's calculate the present value.
01:58
The $1 ,000 payment.
02:02
So there are $5 ,000 payments, then the present value of the payments is that of an annuity of five payments and annual interest rate is i.
02:14
So we will get 1 -0 -000 -0 -0 -0 -0 -0 -1 -1 -1 -plus -i, hold to the power minus 5 divided by i is equal to 1 .001 minus 1 .005 hold to the power 12 minus 5 1 .005 hold to the power 12 minus 5...