In: Economics
Determine the FW of the following engineering project when the MARRis 15% per year. Is the Project acceptable? Draw a cash flow diagram.
Investment = $10,000
Expected life = 5 years
Salvage value =-$1,000
Annual receipts = $8,000
Annual expenses = $4,000
Ans: FW = $5858 . Yes the project is acceptable.
Cash flow diagram of the project is show below:
Explanation:
Investment ( P ) = $10,000
Expected life ( n ) = 5 years
Salvage value ( F )= -$1,000
Net receipts ( A ) = Annual receipts - Annual expenses = $8,000 - $4,000 = $4,000
FW = - $10000 ( F/ P , i ,n ) + $4000( F / A , i, n ) - $1000
= - $10000 ( F/ P , 15% ,5 ) + $4000( F / A , 15%, 5 ) - $1000
=- $10000 ( 2.011 ) + $4000(6.742) - $1000
= -$20110 + $26968 - $1000 = $5858
Since the the FW is positive then the project is acceptable.