Question

In: Finance

Use the following set of cash flows for the questions below: Table A Year Cash Flow...

Use the following set of cash flows for the questions below:

Table A

Year

Cash Flow

1

$5,973

2

$18,662

3

$61,839

4

$66,528

5

$68,052

6

$73,559

           
2.

  1. Using the cash flows in Table A, determine the present value of the cash flow stream at the following discount rates: 3%, 8%, 12%, 18%, and 22%. (Use a data table to complete these calculations. (please show how to do in excel, having a hard time figuring out how to use the data table to find answers.)

Solutions

Expert Solution

Present value of cash flow is calculated as follows:
Year Cash flow Discount factor @ 3% Present value
a b c=1.03^-a d=b*c
1 $            5,973 0.970874 $       5,799.03
2 $         18,662 0.942596 $     17,590.72
3 $         61,839 0.915142 $     56,591.45
4 $         66,528 0.888487 $     59,109.27
5 $         68,052 0.862609 $     58,702.25
6 $         73,559 0.837484 $     61,604.50
Total $ 2,59,397.22
Year Cash flow Discount factor @ 8% Present value
a b c=1.08^-a d=b*c
1 $            5,973 0.925926 $       5,530.56
2 $         18,662 0.857339 $     15,999.66
3 $         61,839 0.793832 $     49,089.79
4 $         66,528 0.73503 $     48,900.07
5 $         68,052 0.680583 $     46,315.05
6 $         73,559 0.63017 $     46,354.65
Total $ 2,12,189.77
Year Cash flow Discount factor @ 12% Present value
a b c=1.12^-a d=b*c
1 $            5,973 0.892857 $       5,333.04
2 $         18,662 0.797194 $     14,877.23
3 $         61,839 0.71178 $     44,015.78
4 $         66,528 0.635518 $     42,279.75
5 $         68,052 0.567427 $     38,614.53
6 $         73,559 0.506631 $     37,267.28
Total $ 1,82,387.60
Year Cash flow Discount factor @ 18% Present value
a b c=1.18^-a d=b*c
1 $            5,973 0.847458 $       5,061.86
2 $         18,662 0.718184 $     13,402.76
3 $         61,839 0.608631 $     37,637.12
4 $         66,528 0.515789 $     34,314.40
5 $         68,052 0.437109 $     29,746.16
6 $         73,559 0.370432 $     27,248.57
Total $ 1,47,410.88
Year Cash flow Discount factor @ 22% Present value
a b c=1.22^-a d=b*c
1 $            5,973 0.819672 $       4,895.90
2 $         18,662 0.671862 $     12,538.30
3 $         61,839 0.550707 $     34,055.16
4 $         66,528 0.451399 $     30,030.68
5 $         68,052 0.369999 $     25,179.19
6 $         73,559 0.303278 $     22,308.83
Total $ 1,29,008.06

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