Prior to a 2-for-1 stock split, Marcus, Inc. stock sold for $120 per share. If the firm's total market value increased by 6% as a result of increased liquidity caused by the split, what was the stock price following the split?
let
no. of shares outstanding before split = n
price per share before split = p = $120
market value of shares before split = p*n = 120n
due to the split , 2-for-1
No. of shares after split, N = 2*n
Price per share after split = P
Market value of shares after split = 1.06*M
also , Market value of shares after split = 2n *P
thus, 2n*P = 1.06*M
substituting value of M in above equation
2n*P = 1.06*(120n)
2P = 1.06*120
P = (1.06*120)/2 = $63.6
Hence price per share after split, = $63.6
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