Question

Difficulty: HardSettlement Dates, Trade Confirmations, and Corporate Actions

An investor currently holds 400 shares of Apex Corporation common stock in a retail cash account. The corporation declares and distributes a 5% stock dividend. Six months later, Apex Corporation executes a 3-for-2 forward stock split. Following the split, the board of directors approves a quarterly cash dividend of $0.25 per share. What is the total dollar amount of the quarterly cash dividend that the investor will receive?

Answer: 157.5 USD

Answer

The total dollar amount of the quarterly cash dividend received by the investor is $157.50.
To determine the total cash dividend, the share count must be adjusted chronologically for each corporate action. First, the 5% stock dividend increases the original 400 shares to 420 shares (400 * 1.05). Second, the 3-for-2 forward stock split increases the share count from 420 to 630 shares (420 * 1.5). Finally, multiplying the 630 post-split shares by the 0.25cashdividendpershareresultsinatotalcashdividendof0.25 cash dividend per share results in a total cash dividend of 157.50.

Step-by-Step Solution

1
Calculate the share position following the 5% stock dividend.
400 shares * 1.05 = 420 shares.
A 5% stock dividend increases the investor's total share count by 5%.
2
Calculate the share position following the 3-for-2 forward stock split.
420 shares * (3 / 2) = 630 shares.
A 3-for-2 stock split multiplies the existing share position by a factor of 1.5.
3
Calculate the total quarterly cash dividend payout.
630 shares * 0.25pershare=0.25 per share = 157.50.
Cash dividends declared after corporate actions apply to the fully adjusted post-split share position.

Key Concept

Adjusting share position quantities for sequential corporate actions (stock dividends and stock splits) to calculate total cash dividend payments.
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