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wel
3 years ago
5

XYZ Company purchased a new piece of equipment on January 1, 2022. The following information relates to the equipment purchased:

Purchase price .............. ? Residual value .............. ? Life ........................ 8 years Using the straight-line depreciation method, the equipment's book value at December 31, 2025 would be $82,700. Using the double-declining balance depreciation method, the depreciation expense recorded on the equipment in 2023 would be $30,000. Calculate the residual value assigned to this piece of equipment.
Business
1 answer:
mina [271]3 years ago
6 0

Answer:

Residual Value = $5,400

Explanation:

At first, we have to calculate the cost of equipment.

Using double-declining method,

The depreciation as per 2023 = $30,000.

The depreciation rate to use the double-declining method = (100%/Useful life) x 2 = (100%/8) x 2 = 25%

Therefore, the beginning balance of equipment in 2023 (or, the ending balance in 2022) = \frac{30,000}{0.25}

The beginning balance of equipment in 2023 = $120,000

Using the same approach,

The beginning balance of equipment in 2022 (Or, the purchasing price) =

Depreciation = Purchase price x 25%

since the purchase price and depreciation are unknown, therefore, we use,

Ending value in 2022 = Purchase price x (100% - 25%) (Depreciation rate is 100%)

or, $120,000 = Purchase price x 75%

or, Purchase price = $120,000/0.75 = $160,000

Now, using the straight-line method,

Useful life = 8 years

Purchase price = $160,000

Book value after 4 years (As of December 2025, the equipment was purchased in January 2022) = $82,700

Therefore, accumulated depreciation = $160,000 - 82,700 = $77,300 for 4 years.

As the straight-line method depreciation is same for each year,

the depreciation for the first year = \frac{77,300}{4} = $19,325

According to the straight-line method,

Depreciation = \frac{Purchase price - Residual value}{Useful life}

or, $19,325 = \frac{160,000 - Residual Value}{8}

or, $19,325 x 8 = $160,000 - Residual value

or, Residual Value = $160,000 - $154,600

Hence, Residual value = $5,400

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Explanation:

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We use following format to calculate NPV for the given business idea

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when the inflation is low, the price levels rise systematically and gradually. this allows business and investors to predict the economy more accurately and preserves the purchasing power of the currency and money, which is good for both investments, national and international trade.

moreover, when the inflation is lower, the cost of capital financing remains low as well. and the real interest rates are higher too.

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I hope it helped you!
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