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Zorluk: OrtaSettlement Dates, Trade Confirmations, and Corporate Actions

An investor holds 600600 shares of XYZ Corporation common stock in a cash account, purchased at an initial cost basis of $45.00\$45.00 per share. The issuing corporation declares a 55-for-44 stock split. Following the execution of this corporate action, what is the investor's adjusted cost basis per share (in dollars)?

Cevap: 36 $

Cevap

The investor's adjusted cost basis per share after the 55-for-44 forward stock split is $36.00\$36.00.
The correct adjusted cost basis per share is $36.00\$36.00. In a 55-for-44 forward stock split, the share count increases by a ratio of 5/45/4 (from 600600 to 750750 shares) while the total cost basis remains unchanged at $27,000.00\$27,000.00. Dividing the total cost basis by the new share count ($27,000.00/750\$27,000.00 / 750) yields $36.00\$36.00 per share, or multiplying the original price by the inverse of the split ratio ($45.00×4/5=$36.00\$45.00 \times 4 / 5 = \$36.00).

Adım Adım Çözüm

1
Calculate the total initial cost basis of the equity position.
The total cost basis is 600×$45.00=$27,000.00600 \times \$45.00 = \$27,000.00.
A stock split changes the number of outstanding shares and the per-share price, but the total overall monetary value of the investor's position remains unchanged.
2
Calculate the adjusted total number of shares owned after the split.
The post-split share count is 600×54=750600 \times \frac{5}{4} = 750 shares.
In a 55-for-44 forward split, the investor receives 55 new shares for every 44 shares previously held, increasing the share quantity by 25%25\%.
3
Determine the adjusted cost basis per share.
The new cost basis per share is $27,000.00750=$36.00\frac{\$27,000.00}{750} = \$36.00.
Dividing the total unchanged cost basis of $27,000.00\$27,000.00 by the new total of 750750 shares provides the lower per-share cost basis.

Anahtar Kavram

Corporate Action - Forward Stock Split Adjustments
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