Question

In: Finance

Assume that 17.00 % is the appropriate rate for the following cash flow stream. Year Cash...

Assume that 17.00 % is the appropriate rate for the following cash flow stream.

Year

Cash Flow ($)

1

3,000

2-11

4,000

12-25

6,000

26-40

10,000

1. What is the Present Value of the cash flows?

2. What is the Future Value of the cash flows?

Round your answer to the nearest dollar and do NOT enter a dollar sign.

Solutions

Expert Solution

Question 1 = Present Value today = 25121

Question 2 = Future Value after 40 years =13,411,254

Question 1 Calculation of Present Value

Year Cash Flow Present Value Factor @17% Present Value
1 3000 0.855 2,564.10
2 4000 0.731 2,922.05
3 4000 0.624 2,497.48
4 4000 0.534 2,134.60
5 4000 0.456 1,824.44
6 4000 0.390 1,559.35
7 4000 0.333 1,332.78
8 4000 0.285 1,139.13
9 4000 0.243 973.61
10 4000 0.208 832.15
11 4000 0.178 711.24
12 6000 0.152 911.84
13 6000 0.130 779.35
14 6000 0.111 666.11
15 6000 0.095 569.33
16 6000 0.081 486.61
17 6000 0.069 415.90
18 6000 0.059 355.47
19 6000 0.051 303.82
20 6000 0.043 259.68
21 6000 0.037 221.95
22 6000 0.032 189.70
23 6000 0.027 162.13
24 6000 0.023 138.58
25 6000 0.020 118.44
26 10000 0.017 168.72
27 10000 0.014 144.21
28 10000 0.012 123.25
29 10000 0.011 105.34
30 10000 0.009 90.04
31 10000 0.008 76.96
32 10000 0.007 65.77
33 10000 0.006 56.22
34 10000 0.005 48.05
35 10000 0.004 41.07
36 10000 0.004 35.10
37 10000 0.003 30.00
38 10000 0.003 25.64
39 10000 0.002 21.92
40 10000 0.002 18.73
Present Value 25,121

Question 2 Calculation of FUTURE VALUE

Year Cash Flow Invested for Years Future Value Factor @17% Present Value
1 3000 39 456.298 1,368,894.14
2 4000 38 389.998 1,559,993.32
3 4000 37 333.332 1,333,327.62
4 4000 36 284.899 1,139,596.26
5 4000 35 243.503 974,013.90
6 4000 34 208.123 832,490.51
7 4000 33 177.883 711,530.35
8 4000 32 152.036 608,145.60
9 4000 31 129.946 519,782.56
10 4000 30 111.065 444,258.60
11 4000 29 94.927 379,708.21
12 6000 28 81.134 486,805.39
13 6000 27 69.345 416,072.98
14 6000 26 59.270 355,617.94
15 6000 25 50.658 303,946.95
16 6000 24 43.297 259,783.72
17 6000 23 37.006 222,037.37
18 6000 22 31.629 189,775.53
19 6000 21 27.034 162,201.31
20 6000 20 23.106 138,633.59
21 6000 19 19.748 118,490.25
22 6000 18 16.879 101,273.72
23 6000 17 14.426 86,558.73
24 6000 16 12.330 73,981.82
25 6000 15 10.539 63,232.33
26 10000 14 9.007 90,074.54
27 10000 13 7.699 76,986.79
28 10000 12 6.580 65,800.67
29 10000 11 5.624 56,239.89
30 10000 10 4.807 48,068.28
31 10000 9 4.108 41,084.00
32 10000 8 3.511 35,114.53
33 10000 7 3.001 30,012.42
34 10000 6 2.565 25,651.64
35 10000 5 2.192 21,924.48
36 10000 4 1.874 18,738.87
37 10000 3 1.602 16,016.13
38 10000 2 1.369 13,689.00
39 10000 1 1.170 11,700.00
40 10000 0 1.000 10,000.00
Future Value 13,411,254

Future Value = 13,411,254


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