A Find the present value of the following cash flows at 2%, 5%, and 9%, T=6 |---------|---------|--------|--------|--------|---------|--------|--------|--------|--------|
Question:
A
Find the present value of the following cash flows at 2%, 5%, and 9%,
T=6
- |---------|---------|--------|--------|--------|---------|--------|--------|--------|--------|
30 30 30 30 30 30
1000
T=10
- |---------|---------|--------|--------|--------|--------|---------|--------|--------|---------|
30 30 30 30 30 30 30 30 30 30
1000
T=6
- |---------|---------|--------|---------|-------|--------|--------|--------|--------|--------|
50 50 50 50 50 50
1000
T=10
- |---------|---------|--------|--------|--------|---------|--------|--------|--------|---------|
50 50 50 50 50 50 50 50 50 50
1000
T=6
- |---------|---------|--------|--------|--------|---------|--------|--------|--------|--------|
80 80 80 80 80 80
1000
T=10
- |---------|---------|--------|--------|--------|--------|---------|--------|--------|--------|
80 80 80 80 80 80 80 80 80 80
1000
Part B
For each of the sets of cash flows, and using the value you derived at a 5%, do the following
Multiply each cash flow by the time period associated with the cash flow. For example for the first set of cash flow you would:
30 * 1
30 * 2
30 * 3
30 * 4
30 * 5
1030 * 6
Divide each product you just calculated by (1.05)time
30 / 1.05
60 / 1.1025
90 / 1.15762
120 / 1.21551
150 / 1.27628
6180 / 1.34010
Add the numbers you just calculated 4988.602954
Divide that sum by whatever you got in part A for the first set of cash flows using the 5% rate of 5.552228552
Repeat these steps for the remaining sets of cash flows limiting your analysis to the 5% rate for present value.
Discuss what you observe in Part A. What do you observe in Part B?