Crescent Industries management is planning to replace some
existing machinery in its plant. The cost of the new equipment and
the resulting cash flows are shown in the accompanying table. If
the firm uses an 18 percent discount rate for project.
Year | Cash Flow | |
---|---|---|
0 | -$3,524,500 | |
1 | $938,910 | |
2 | $969,800 | |
3 | $1,149,000 | |
4 | $1,263,360 | |
5 | $1,409,200 |
What is the NPV of this project? (Enter negative
amounts using negative sign e.g. -45.25. Do not round discount
factors. Round intermediate calculations to 4 decimal places, e.g.
1.2514 and final answer to 2 decimal places, e.g.
15.25.)
The NPV is | $ |
Should management go ahead with the project?
The firm should
acceptreject the project. |
Calculation of NPV of the project:
NPV = (sum of discounted cashinflows - Cashouflows)
Calculation of sum of discounted cashinflows:
Year. Cashflows. PV@18%. P.V of cahflows
1. $938,910. 0.8475 $795,726.2250
2. $969,800. 0.7182. $696,510.3600
3. $1,149,000. 0.6086. $699,281.400
4. $1,263,360. 0.5158. $651,641.088
5. $1,409,200. 0.4371. $615,961.320
. Total. $3,459,120.393
Given cashoutflows = -$3,524,500
NPV =$3,459,120.393 - $ 3,524,500
NPV = -$65,379.61
Since the NPV is negative so it is advisable to not to accept the project.
The management should not accept the project.
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