Question

In: Finance

A project has the following cash flow. Years Costs Benefits 0 $10,000 0 1 $1,000 $5,000...

A project has the following cash flow.

Years

Costs

Benefits

0

$10,000

0

1

$1,000

$5,000

2

$1,000

$5,000

3

$2,000

$6,000

4

$20,000

$3,000

a) Find net present value

b) Discounted Benefit-Cost Ratio

c)Net discounted Benefit-Cost Ratio

discount ratio is 10%

Solutions

Expert Solution

Year Cost Benefits Total DF PV
0 $ -10,000.00 $              -   $ -10,000.00 1 $ -10,000.00
1 $   -1,000.00 $ 5,000.00 $     4,000.00 0.900901 $     3,603.60
2 $   -1,000.00 $ 5,000.00 $     4,000.00 0.811622 $     3,246.49
3 $   -2,000.00 $ 6,000.00 $     4,000.00 0.731191 $     2,924.77
4 $ -20,000.00 $ 3,000.00 $ -17,000.00 0.658731 $ -11,198.43
NPV $ -11,423.57
Year Cost Benefits Total DF PV DV Benefit DV costs
0 $ -10,000.00 $              -   $ -10,000.00 1 $ -10,000.00 $                  -   $ -10,000.00
1 $   -1,000.00 $ 5,000.00 $     4,000.00 0.900901 $     3,603.60 $     4,504.50 $       -900.90
2 $   -1,000.00 $ 5,000.00 $     4,000.00 0.811622 $     3,246.49 $     4,058.11 $       -811.62
3 $   -2,000.00 $ 6,000.00 $     4,000.00 0.731191 $     2,924.77 $     4,387.15 $   -1,462.38
4 $ -20,000.00 $ 3,000.00 $ -17,000.00 0.658731 $ -11,198.43 $     1,976.19 $ -13,174.62
NPV $ -11,423.57 $ 14,925.96 $   26,349.53
Ratio 0.566460213
Net benefits cost ratio -0.43353979

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