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Amanda [17]
3 years ago
10

An oil refinery must now begin sending its waste liquids through a costly treatment process before discharging them. The enginee

ring department estimates costs at $450,000 for the first year. It is estimated that if process and plant alterations are made, the waste treatment cost will decline $43,000 each year. As an alternate, a specialized firm, Hydro-Clean, has offered a contract to process the waste liquids for 15 years for $225,000 per year. Either way, there should be no need for waste treatment after 15 years. Use an 10% interest rate and annual cash flow analysis. what is the Hydro-Clean offer that should be accepted?
Business
1 answer:
WARRIOR [948]3 years ago
7 0

Answer:

Option A is the cheapest.

Explanation:

Giving the following information:

The engineering department estimates costs of $450,000 for the first year. It is estimated that if process and plant alterations are made, the waste treatment cost will decline $43,000 each year. As an alternative, a specialized firm, Hydro-Clean, has offered a contract to process the waste liquids for 15 years for $225,000 per year.

We need to use the following formula and chose the smallest net present value:

NPV= Io +∑ [Cf/(1+i)^n]

Option A:

Io= 407,000

Year cost= 43,000

NPV= 734,061

Option B:

Yearly cost= 225,000

NPV= 1,936,368

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Twenty years ago, you won a state lottery, and you received $15,000 at the end of each of the next 10 years, and $20,000 at the
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The value of the amount won at the lottery at the end of 20 years is  $723,672.24.

<h3>What is the value at the end of 20 years?
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The formula for calculating future value of annuities is: yearly amount x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

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Annuity factor for the first ten years = [(1.09^10) - 1] / 0.09 = 15.19293

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Future value of the lump sum of  $227,893.95 in 10 years =  $227,893.95 x (1.09^10) = 539,507.86

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Value in year 20 =  $184,164.38 +  539,507.86 = $723,672.24

To learn more about annual annuities, please check: brainly.com/question/24108530

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