Question

In: Finance

You are evaluating an investment project costing $43,000 initially. The project will provide $3,000 in after-tax...

You are evaluating an investment project costing $43,000 initially. The project will provide $3,000 in after-tax cash flows in the first year, $4,000 in the second year and $9,000 each year thereafter for 10 years. The maximum payback period for your company is 7 years.
Attempt 1/1 for 10 pts.
Part 1
What is the payback period for this project?

Solutions

Expert Solution

Year

Cash flow (in $)

Cumulative cash flow (in $)

0

(43,000)

(43,000)

1

3,000

(40,000)

-43000+3000

2

4,000

(36,000)

-40000+4000

3

9,000

(27,000)

-36000+9000

4

9,000

(18,000)

-27000+9000

5

9,000

(9,000)

-18000+9000

6

9,000

0

-9000+9000

7

9,000

8

9,000

9

9,000

10

9,000

11

9,000

12

9,000

The above formula is useful when payback period falls between 2 complete years (say, 6 years & 5 months). In this case, at year 6, the cumulative cash flow becomes zero, i.e. full investment is recouped by year 6 & therefore payback period = 6 years.

  • Simple payback period shows the time taken to recoup an investment made.
  • If the cash flows are even, (i.e. exactly the same amount of cash inflow every year. e.g. $5,000 received every year for 5 years) then -

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