It is estimated that a certain piece of equipment can save $ per year in labor and materials costs. The equipment has an expected life of years and no market value. If the company must earn a % annual return on such investments, how much could be justified now for the purchase of this piece of equipment?

The amount that could be justified now for the purchase of this piece of equipment is $73,747.41.

Explanation:

Note: This question is not complete as all the data in it are omitted. A complete question is therefore provided before answering the question as follows:

It is estimated that a certain piece of equipment can save $22,000 per year in labor and materials cost. The equipment has an expected life of five years and no market value. If the company must earn a 15% annual return on such investments, how much could be justified now for the purchase of this piece of equipment?

The explanation to the answer is now given as follows:

To calculate this, the formula for calculating the present value of an ordinary annuity is used as follows:

PV = P * [{1 - [1 / (1 + r)]^n} / r] …………………………………. (1)

Where;

PV = Present value of the amount to justify the equipment purchase = ?

P = yearly savings in labor and materials costs = $22,000

r = annual return rate = 15% = 0.15

n = Equipment has an expected life = 5

Substitute the values into equation (1) to have:

PV = $22,000 * [{1 - [1 / (1 + 0.15)]^5} / 0.15]

PV = $22,000 * [{1 - [1 / 1.15]^5} / 0.15]

PV = $22,000 * [{1 - 0.869565217391304^5} / 0.15]

PV = $22,000 * [{1 - 0.497176735298289} / 0.15]

PV = $22,000 * [0.502823264701711 / 0.15]

PV = $22,000 * 3.35215509801141

PV = $73,747.41

Therefore, the amount that could be justified now for the purchase of this piece of equipment is $73,747.41.

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