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Answer:
To calculate a reasonable offering price for Whispering, Inc. and determine the amount of goodwill, we can follow these steps based on the provided assumptions:
A. Calculation of the Fair Value of Identifiable Assets:
1. Identifiable assets fair value = $15,018,000
2. Liabilities = $8,827,000
3. Office equipment fair value ≈ book value (no adjustment needed)
4. Buildings fair value = book value + 30% of book value
5. Land fair value = book value + 75% of book value
B. Adjusting the average earnings to reflect extraordinary items:
1. Average pretax income for the years 2022-2024 = ($1,202,200 + $1,501,900 + $952,500) / 3
2. Adjustments:
- Depreciation on buildings = $962,400 each year
- Depreciation on equipment = $52,100 each year
- Extraordinary loss (2024) = $302,500
- Sales commissions = $251,500 each year
3. Adjusted average earnings = Average pretax income - (Depreciation on buildings + Depreciation on equipment + Extraordinary loss + Sales commissions)
C. Calculation of Goodwill and Offering Price:
1. Normal rate of return on net assets for the industry = 15%
2. Required return on investment by Sandhill Homes = 25%
3. Goodwill is determined by capitalizing excess earnings.
4. Offering price = (Adjusted average earnings - (Normal rate of return on net assets * (Fair value of identifiable assets - Liabilities))) / (Required rate of return - Normal rate of return)
After performing the above calculations, the offering price for Whispering, Inc. can be determined. Please note that the actual numerical calculation would involve substituting the provided numerical values into the formulas and solving for the offering price and the amount of goodwill.
Let's proceed to calculate the offering price and the amount of goodwill.
Let's proceed with the calculations.
Step A: Calculation of the Fair Value of Identifiable Assets
- Fair value of buildings = Book value + 30% of book value
= Book value + (0.3 Book value)
= 1.3 Book value
- Fair value of land = Book value + 75% of book value
= Book value + (0.75 Book value)
= 1.75 Book value
Given:
- Identifiable assets' fair value = $15,018,000
- Liabilities = $8,827,000
Therefore, book value of assets = $15,018,000 - $8,827,000 = $6,191,000
Applying the above adjustments:
- Fair value of buildings = 1.3 $6,191,000 = $8,048,300
- Fair value of land = 1.75 $6,191,000 = $10,832,250
Step B: Adjusting the Average Earnings
- Average pretax income for the years 2022-2024 = ($1,202,200 + $1,501,900 + $952,500) / 3
= $1,218,200
- Adjusted average earnings = $1,218,200 - ($962,400 + $52,100 + $302,500 + $251,500)
= $1,218,200 - $1,568,500
= -$350,300 (adjusted average earnings)
Step C: Calculation of Goodwill and Offering Price
- Normal rate of return on net assets for the industry = 15%
- Required return on investment by Sandhill Homes = 25%
- Offering price = ($350,300 - (0.15 ($15,018,000 - $8,827,000))) / (0.25 - 0.15)
= ($350,300 - (0.15 $6,191,000)) / 0.10
= ($350,300 - $927,150) / 0.10
= -$576,850 / 0.10
= -$5,768,500
Based on these calculations, the offering price for Whispering, Inc. is a negative value. This suggests that the calculated adjusted average earnings fall below the industry's normal rate of return on net assets.
Therefore, a reasonable offering price for Whispering, Inc. based on these assumptions is a negative value, which may not reflect a feasible acquisition. It's important to ensure that the data and assumptions are accurately represented to arrive at a realistic offering price.
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