Answer:
a) Nixon 200,000
Hoover 120,000
Polk 90,000
Grant 90,000
500,000
b)
Nixon $ 195,000.00
Polk $ 117,000.00
Hoover $ 88,000.00
Grant $ 100,000.00
$ 500,000.00
Explanation:
Nixon Capital 200,000
Hoover Capital 120,000
Polk Capital 90,000
If grants invest for 80,000 and get 18% then:
80,000 / 0.18 = 444,444 value of the company
200,000 + 120,000 + 90,000 + 80,000 = 490,000 capital after
As the value of the company is lower the new partner is providing goodwill to the company that's why there is a goodwill to be recognized.
Grant investemnt = 18% ( original capital + contribution + goodwill)
80,000 + goodwill = 0.18(410,000 + 80,000 + goodwill)
goodwill - 0.18 goodwill = 88,200 - 80,000
goodwill = 8,200 / (1 - 0.18) = 10,000
Grant investment: 80,000 cash + 10,000 goodwill
If invest 100,000 and no goodwill:
100,000 / 0.20 = 500,000
then new capital:
410,000 + 100,000 = 510,000
Difference: 10,000
As no goodwill is recognized the assets weere overvalued and we must recognize a loss:
10,000 x 50% = 5,000 Nixon
x 30% = 3,000 Polk
x 20% = 2,000 Hoover