Asked by A Breath of Mahek on Jul 15, 2024
Verified
A project requires an initial outlay of $100,000, and is expected to generate annual net cash inflows of $28,000 for the next 5 years. Determine the payback period for the project.
A) 0.28 years
B) 1.4 years
C) 3.57 years
D) 17.86 years
Payback Period
The time it takes for an investment to generate an amount of income or cash equal to the cost of the investment.
Cash Inflows
Money or other forms of financial assets that come into a company, contributing to its total revenue.
Outlay
The total amount of money spent on a particular project or purchase.
- Execute payback period analysis in the evaluation of projects.
Verified Answer
PS
Paramveer SinghJul 16, 2024
Final Answer :
C
Explanation :
To calculate the payback period, we need to see how long it takes for the net cash inflows to pay back the initial investment ($100,000).
Year 1: $100,000 - $28,000 = $72,000 remaining
Year 2: $72,000 - $28,000 = $44,000 remaining
Year 3: $44,000 - $28,000 = $16,000 remaining
Year 4: $16,000 - $28,000 = -$12,000 (payback is in year 3)
Therefore, the payback period is 3 years and 1/12 of a year, or approximately 3.57 years. The best choice is C.
Year 1: $100,000 - $28,000 = $72,000 remaining
Year 2: $72,000 - $28,000 = $44,000 remaining
Year 3: $44,000 - $28,000 = $16,000 remaining
Year 4: $16,000 - $28,000 = -$12,000 (payback is in year 3)
Therefore, the payback period is 3 years and 1/12 of a year, or approximately 3.57 years. The best choice is C.
Learning Objectives
- Execute payback period analysis in the evaluation of projects.