Question

An investment pays $1,950 per year for the first 5 years, $3,900 per year for the...

An investment pays $1,950 per year for the first 5 years, $3,900 per year for the next 6 years, and $5,850 per year the following 10 years (all payments are at the end of each year). If the discount rate is 10.95% compounding quarterly, what is the fair price of this investment?

Work with 4 decimal places and round your answer to two decimal places. For example, if your answer is $345.667 round as 345.67 and if your answer is .05718 or 5.718% round as 5.72.

Group of answer choices

$22,643.73

$26,956.82

$28,574.23

$23,182.86

$25,608.98

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Answer #1

Ans $26,956.82

Year Project Cash Flows (i) DF@ 11.41% DF@ 11.41% (ii) PV of Project A ( (i) * (ii) )
1 1950 1/((1+11.41%)^1) 0.898                       1,750.32
2 1950 1/((1+11.41%)^2) 0.806                       1,571.10
3 1950 1/((1+11.41%)^3) 0.723                       1,410.22
4 1950 1/((1+11.41%)^4) 0.649                       1,265.82
5 1950 1/((1+11.41%)^5) 0.583                       1,136.20
6 3900 1/((1+11.41%)^6) 0.523                       2,039.71
7 3900 1/((1+11.41%)^7) 0.469                       1,830.85
8 3900 1/((1+11.41%)^8) 0.421                       1,643.38
9 3900 1/((1+11.41%)^9) 0.378                       1,475.10
10 3900 1/((1+11.41%)^10) 0.340                       1,324.05
11 3900 1/((1+11.41%)^11) 0.305                       1,188.47
12 5850 1/((1+11.41%)^12) 0.274                       1,600.16
13 5850 1/((1+11.41%)^13) 0.246                       1,436.31
14 5850 1/((1+11.41%)^14) 0.220                       1,289.24
15 5850 1/((1+11.41%)^15) 0.198                       1,157.22
16 5850 1/((1+11.41%)^16) 0.178                       1,038.72
17 5850 1/((1+11.41%)^17) 0.159                           932.36
18 5850 1/((1+11.41%)^18) 0.143                           836.89
19 5850 1/((1+11.41%)^19) 0.128                           751.19
20 5850 1/((1+11.41%)^20) 0.115                           674.27
21 5850 1/((1+11.41%)^21) 0.103                           605.23
PV                     26,956.82
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