consider palletizer at a bottling plant that has a first cost of $171,279, has operating and maintenance costs of $15,203 per year, and an estimated net salvage value of $54,294 at the end of 30 years. assume an interest rate of 8%. what is the future worth of this project?

Respuesta :

The future worth of the project is $2,349,471.

What is future value?
The worth of a current asset at some point in the future based on an estimated rate of growth is known as future value (FV). For investors and financial planners, the future value is crucial because they use it to predict how much an investment made now will be worth in the future.


The future worth is the present value of all the cash flows from the project, discounted at the interest rate. In this case, the present value of the cash flows is:

$171,279 + $15,203(PVIF 8%,30) + $54,294(PVIF 8%,30)
= $171,279 + $15,203(0.465) + $54,294(0.27)
= $171,279 + $7,046 + $14,708
= $192,033

The future worth of the project is then the present value of these cash flows, discounted at the interest rate.
$192,033(PVIFA 8%,30)
= $192,033(12.247)
= $2,349,471

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