Cantor Corporation acquired a manufacturing facility on four acres of land for a lump-sum price of $9,000,000. The building included used but functional equipment. According to independent appraisals, the fair values were $4,500,000, $3,000,000, and $2,500,000 for the building, land, and equipment, respectively. The initial values of the building, land, and equipment would be:

Initial value of building = $4,050,000

Initial value of land = $2,700,000

Initial value of equipment = $2,250,000

Explanation:

The fair value of an asset refers to a unbiased estimate of the likely market price of the asset.

The initial value of a fixed asset refers to the amount of money that spent to acquire or create the asset.

The initial value of each asset from a group of asset can be calculated using the following formula:

Initial value of an asset = Lump-sum price * (FVA / TFV) (1)

Where, from the questio;

Lump-sum price = $9,000,000

FVA = Fair value of a particular asset. From the question, we have:

Building fair value = $4,500,000

Land fair value = $3,000,000

Land fair value  = $2,500,000

TFV =Total fair value = Building fair value + Land fair value + Land fair value = $4,500,000 + $3,000,000 + $2,500,000 = $10,000,000

Substituting the values into equation (1), we can determine the initial value of each asset as follows:

Initial value of building = $9,000,000 * ($4,500,000 / $10,000,000) = $9,000,000 * 0.45 = $4,050,000

Initial value of land = $9,000,000 * ($3,000,000 / $10,000,000) = $9,000,000 * 0.30 = $2,700,000

Initial value of equipment = $9,000,000 * ($2,500,000 / $10,000,000) = $9,000,000 * 0.25 = $2,250,000