Question

In: Accounting

A machine with an initial purchase price of $29100 has a useful life of 10 years....

A machine with an initial purchase price of $29100 has a useful life of 10 years. The usage of this machine is forecasted to bring us the savings in the table below. At an interest rate of 0% how many years will it take to payback the investment?

Year

1

2

3

4

5

6

7

8

9

10

Savings, $

7000

9000

5000

3000

4000

6000

5000

6000

4000

7000

1-2 years

2-3 years

3-4 years

4-5 years

5-6 years

6-7 years

7-8 years

8-9 years

More than 8 years

Solutions

Expert Solution

Solution : 1
CACULATION OF PPAYBACK PERIOD OF THE INVESTMENT
YEArs Particulars Inflow (Outflow) Cumulative Value
0 Outflow $                   -29,100 $                     -29,100
1 Inflow $                       7,000 $                     -22,100
2 Inflow $                       9,000 $                     -13,100
3 Inflow $                       5,000 $                       -8,100
4 Inflow $                       3,000 $                       -5,100
5 Inflow $                       4,000 $                       -1,100
6 Inflow $                       6,000 $                         4,900
7 Inflow $                       5,000 $                         9,900
8 Inflow $                       6,000 $                      15,900
9 Inflow $                       4,000 $                      19,900
10 Inflow $                       7,000 $                      26,900
In the 6th year we recover our all money , but full year is not required for this
so we can caluclate the exact period of payback
Payback Period = 5 Years + $                       1,100 "/ " By   $                       6,000
Payback Period = 5 Years +                              0.18 Years
Payback Period =       5.18 Years
Answer = Payback period is between 5-6 Years

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