In: Finance
An investor purchased 300 shares of ABC Company when it IPO’d at $30 per share. Two years later, the company executed a 3 for 2 stock split when the shares were trading at $45. One year after that, the investor sold 200 shares at $40. What is her profit on the sale?
a$2,000
b$2,500
c$3,000
d$4,000
Solution :
As per the information given in the question we have
Original Number of shares purchased = 300 shares ; Original purchase price of each share = $ 30 per share ;
Stock split ratio = 3 for 2
Thus the adjusted Number of shares purchased ( after the stock split ) shall be equal to
= Original Number of shares Purchased * Stock split ratio
= 300 shares * ( 3 / 2 )
= 450 shares
The adjusted purchase price per share = Original purchase price of each share / stock split ratio
= $ 30 / [ (3 / 2 ) ]
= $ 30 / 1.5
= $ 20
Calculation of Profit on sale :
As per the information available we have
Number of shares sold = 200 shares ; Adjusted purchase price after stock split = $ 20 ;
Sale price per share = $ 40
Thus the profit on sale = ( Sale price per share - Adjusted purchase price after stock split ) * Number of shares sold
= ( $ 40 - $ 20 ) * 200
= $ 20 * 200
= $ 4,000
Thus the profit on sale of share = $ 4,000
The solution is option d. $ 4,000