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ololo11 [35]
3 years ago
6

The management of Kawneer North America is considering investing in a new facility and the following cash flows are expected to

result from the investment: YearCash OutflowCash Inflow 1$1,900,000 $95,000 2550,000 205,000 3360,000 4485,000 5510,000 6595,000 7595,000 8305,000 9255,000 10250,000 A. What is the payback period of this uneven cash flow
Business
1 answer:
Over [174]3 years ago
3 0

Answer:

6.34 years

Explanation:

Year   Cash outflow  Cash inflow  Net cash flow  Cumulative cash flow

1          ($1,900,000)     $95,000       ($1,805,000)          ($1,805,000)

2         ($550,000)       $205,000     ($345,000)             ($2,150,000)

3                                   $360,000     $360,000               ($1,790,000)

4                                   $485,000     $485,000                ($1,305,000)

5                                   $510,000      $510,000                ($795,000)

<u>6                                   $595,000     $595,000               ($200,000)</u>

7                                   $595,000     $595,000                $395,000

8                                   $305,000     $305,000                $700,000

9                                   $255,000     $255,000                $955,000

10                                  $250,000     $250,000                $1,205,000

Payback period = 6 + 200,000/ 595,000

Payback period = 6 + 0.3361345

Payback period = 6.336134

Payback period = 6.34 years

So, the payback period of this uneven cash flow is 6.34 years.

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The present value of a prospective sum of money or cash flow stream given a specified return rate is known as its present value (PV). The present value of future cash flows is reduced by the discount rate, and the higher coupon rate, the lower the present value of future cash flows. The key to correctly valuing future cash flows, whether they are earnings or debt obligations, is determining the appropriate discount rate. The concept of present value states that a quantity of funds today is worth greater than the same amount in the long term. In other words, money gained in the long term is not as valuable as money received today.

The present value of a deferred perpetuity that pays $141 annually with the first payment occurring at year 5 is $1,938.89. This can be calculated by taking the present value of an ordinary annuity formula, which is PV = A / (1 + r)^n, and adding 5 to n. This gives the equation PV = A / (1 + r)^(n + 5), which can be simplified to PV = A / (1 + r)^n * (1 + r)^5. Thus, the present value is $141 / (1 + 0.06)^10 * (1 + 0.06)^5, which equals $1,938.89.

To learn more about present value
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