Final answer:
Under each condition, the allocation of dividends to each class of stock is as follows: (a) Preferred stock: $15,200; Common stock: $76,800. (b) Preferred stock: $30,400; Common stock: $61,600. (c) Preferred stock: $769.98; Common stock: $76,030.02.
Step-by-step explanation:
To determine how much each class of stock should receive under each of the given conditions, we need to calculate the dividends for each class of stock.
(a) Preferred stock is noncumulative and nonparticipating:
The total preferred dividends = Preferred stock quantity x Preferred stock par value x Preferred stock dividend rate = 1900 x $100 x 8% = $15,200
The total common dividends = Retained earnings - Preferred dividends = $92,000 - $15,200 = $76,800
Each class of stock should receive:
Preferred stock: $15,200
Common stock: $76,800
(b) Preferred stock is cumulative and nonparticipating:
The preferred stock dividend is not paid for the 2 years preceding the current year, so the dividend for the current year is doubled.
The total preferred dividends = Preferred stock quantity x Preferred stock par value x Preferred stock dividend rate x 2 = 1900 x $100 x 8% x 2 = $30,400
The total common dividends = Retained earnings - Preferred dividends = $92,000 - $30,400 = $61,600
Each class of stock should receive:
Preferred stock: $30,400
Common stock: $61,600
(c) Preferred stock is cumulative and participating:
In this case, the preferred stockholders will receive their preferred dividends and also participate in the remaining common dividends.
The total preferred dividends = Preferred stock quantity x Preferred stock par value x Preferred stock dividend rate = 1900 x $100 x 8% = $15,200
The total common dividends available for participation = Retained earnings - Preferred dividends = $92,000 - $15,200 = $76,800
The rate of participation = Common dividends available for participation / (Preferred stock par value x Preferred stock quantity) = $76,800 / (1900 x $100) = 0.4042%
The total common dividends to be paid out to the preferred stockholders = Preferred stock par value x Preferred stock quantity x Rate of participation = $100 x 1900 x 0.4042% = $769.98
The remaining common dividends to be paid out to the common stockholders = Total common dividends available for participation - Total common dividends to be paid out to the preferred stockholders = $76,800 - $769.98 = $76,030.02
Each class of stock should receive:
Preferred stock: $769.98
Common stock: $76,030.02