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Q 10.7: Melbee Farms is considering purchasing a new combine that would help them finish their harvesting faster, thus allowing them to pick up extra revenue by doing custom combining for other farmers. The combine and headers cost $487,000. They expect to have net cash flows of $157,000 in year 1, $182,000 in year 2, $202,000 in year 3, and $213,000 in year 4. If they discount the cash flows by 7%, what is the discounted payback period for the combine

Sagot :

Kolawole845

Answer:

Discounted payback period= 3 years 1 month

Explanation:

The discounted payback period is the estimated length of time in years it takes the present value of net cash inflow from a project to equate the net cash the initial cost  

To work out the discounted payback period, we will compute present value of the cash inflow and then determine how long it will take for the sum to be equal to the initial cost. This is done as follows:

Year     Cash flow     DF        Present value  

0           487,000 × 1          = (487,000)

1          157,000 × 1.07^(-1) = 146,729.0

2         182,000 × 1.07^(-2) = 158965.8

  3         202,000 × 1.07^(-3) = 164,892.2

4         213,000  × 1.07^(-4) =162,496.7

Total PV for 2 years = 146729 +158965+164892= 470587.0

Balance of cash flow remaining to equal  =  487,000-470587 = 16413.0

 Discounted payback period = 3 years + 16413.0 /162,496.7 × 12 months

= 3year , 1.2months

Discounted payback period= 3 years 1 month

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