00:03
To calculate the present value of the annuity, we need to use a two -stage approach.
00:08
First, we calculate the present value of the first five payments using a discount rate of 8%.
00:13
Second, we will calculate the present value of the remaining 10 payments using a discount rate of 11%.
00:20
Using the formula for the present value of an annuity, we get c divided by r multiplied by 1 minus 1 plus r power negative of n.
00:37
So here, c is the annual payment, r is the discount rate, n is the number of periods.
00:43
For the first five payments, we have here, we can say present value first is equals to, c is 750, discount rate is 0 .08, then multiply by 1 minus 1 plus 0 .08 and power minus 5.
01:14
So here, we can calculate it further.
01:16
So, a present value will come dollar 2790 .77...