Question

In: Finance

If the discount rate is 12%, what is the present value of the following cash flows:...

If the discount rate is 12%, what is the present value of the following cash flows:

Year

Cash Flow

1

$10,000

2

$11,000

3

$12,000

4

$13,000

5

$14,000

6-15

$15,000 each year
a.

$144,618

b.

$90, 537

c.

$127,923

d.

$127,197

Solutions

Expert Solution

Ans b. $ 90537

Year Project Cash Flows (i) DF@ 12% DF@ 12% (ii) PV of Project ( (i) * (ii) )
1 10000 1/((1+12%)^1) 0.892857                                     8,929
2 11000 1/((1+12%)^2) 0.797194                                     8,769
3 12000 1/((1+12%)^3) 0.711780                                     8,541
4 13000 1/((1+12%)^4) 0.635518                                     8,262
5 14000 1/((1+12%)^5) 0.567427                                     7,944
6 15000 1/((1+12%)^6) 0.506631                                     7,599
7 15000 1/((1+12%)^7) 0.452349                                     6,785
8 15000 1/((1+12%)^8) 0.403883                                     6,058
9 15000 1/((1+12%)^9) 0.360610                                     5,409
10 15000 1/((1+12%)^10) 0.321973                                     4,830
11 15000 1/((1+12%)^11) 0.287476                                     4,312
12 15000 1/((1+12%)^12) 0.256675                                     3,850
13 15000 1/((1+12%)^13) 0.229174                                     3,438
14 15000 1/((1+12%)^14) 0.204620                                     3,069
15 15000 1/((1+12%)^15) 0.182696                                     2,740
PV                                   90,537

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