Question

In: Finance

Using a cost of capital of 11​%, calculate the net present value for the project shown...

Using a cost of capital of 11​%, calculate the net present value for the project shown in the following table and indicate whether it is​ acceptable

Initial investment

​(CF 0CF0​)

-$1149

Year

​(t​)

Cash inflows

​(CF Subscript tCFt​)

in thousands

1

​$80

2

​$130

3

​$189

4

​$256

5

​$312

6

​$376

7

​$280

8

​$102

9

​$42

10

​$20

Solutions

Expert Solution

Ans NPV = -$ 75.82

Since NPV is negative, the project must be rejected.

NPV = Present value of cash inflows - cash outflows.

Year Project Cash Flows (i) DF@ 11% DF@ 11% (ii) PV of Project ( (i) * (ii) )
0 -1149 1 1                             (1,149.00)
1 80 1/((1+11%)^1) 0.901                                     72.07
2 130 1/((1+11%)^2) 0.812                                   105.51
3 189 1/((1+11%)^3) 0.731                                   138.20
4 256 1/((1+11%)^4) 0.659                                   168.64
5 312 1/((1+11%)^5) 0.593                                   185.16
6 376 1/((1+11%)^6) 0.535                                   201.02
7 280 1/((1+11%)^7) 0.482                                   134.86
8 102 1/((1+11%)^8) 0.434                                     44.26
9 42 1/((1+11%)^9) 0.391                                     16.42
10 20 1/((1+11%)^10) 0.352                                       7.04
NPV                                   (75.82)

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