You are considering 3 independent projects, project a, project b, and project c. given the following cash flow information, calculate the payback period for each

project aproject bproject c
initial outlay-1,000-10,000-5,000
inflow yr 16005,0001,000
inflow yr 23003,0001,000
inflow yr 32003,0002,000
inflow yr 41003,0002,000
inflow yr 55003,0002,000
if you require a 3-year payback before an investment can be accepted, which project(s) would be accepted?

full point will be given for work shown

Project A should be accepted as it has less payback period

Explanation:

In the payback, we analyze in how many years the invested amount is recovered. The computation is shown below:

For Project A

In year 0 = $1,000

In year 1 = $600

In year 2 = $300

In year 3 = $200

In year 4 = $100

In year 5 = $500

If we sum the first 2 year cash inflows than it would be $900

Now we deduct the $900 from the $1,000 , so the amount would be $100 as if we added the third year cash inflow so the total amount exceed to the initial investment. So, we deduct it

And, the next year cash inflow is $200

So, the payback period equal to

= 2 years + $100 ÷ $200

= 2.5 years

For Project B

In year 0 = $10,000

In year 1 = $5,000

In year 2 = $3,000

In year 3 = $3,000

In year 4 = $3,000

In year 5 = $3,000

If we sum the first 2 year cash inflows than it would be $8,000

Now we deduct the $8,000 from the $10,000 , so the amount would be $2,000 as if we added the third year cash inflow so the total amount exceed to the initial investment. So, we deduct it

And, the next year cash inflow is $3,000

So, the payback period equal to

= 2 years + $2,000 ÷ $3,000

= 2.67 years

For Project C

In year 0 = $5,000

In year 1 = $1,000

In year 2 = $1,000

In year 3 = $2,000

In year 4 = $2,000

In year 5 = $2,000

If we sum the first 3 year cash inflows than it would be $4,000

Now we deduct the $4,000 from the $5,000 , so the amount would be $1,000 as if we added the fourth year cash inflow so the total amount exceed to the initial investment. So, we deduct it

And, the next year cash inflow is $2,000

So, the payback period equal to

= 3 years + $1,000 ÷ $2,000

= 3.5 years

So, Project A should be accepted as it has less payback period

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