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El Pais, a Spanish language daily newspaper, has asked you as expert in Business finance to write a column on their financial section

Finance Jan 24, 2021

El Pais, a Spanish language daily newspaper, has asked you as expert in Business finance to write a column on their financial section. You are tasked  with some questions from the readers of the newspaper that deal with dividends. Please write the column answering the questions.

Question 1: Johana Alfredo, a woman of 45 years old owns 8 percent of the BBVA Corporation’s 30,000 shares of common stock, which most recently traded for a price of $98 per share. The company has since declared its plans to engage in a two-for-one stock split.

  1. What will her financial position be after the stock split, compared to her current position? (Hint: Assume the stock price falls proportionately.)
  2. An expert of finance believes the price will not fall in proportion to the size of the split and will only fall 45 percent because she thinks the pre-split price is above the optimal price range. If she is correct, what will be Johana’s net gain from the split?

Question 2: Simon Park is on the board of directors of the Tause Corporation, and Tause has announced its plan to pay dividends of $550,000. Presently there are 275,000 shares outstanding, and the earnings per share is $6. It looks to you like the stock should sell for $45 after the ex-dividend date. If instead of paying a dividend, the management decides to repurchase stock

  1. What should be the repurchase price that is equivalent to the proposed dividend? (Hint: Ignore any tax effects.)
  2. How many shares should the company repurchase?
  3. You want to look out for the small shareholders. If someone owns 100 shares, do you think he would prefer that the company pay the dividend or repurchase stock?  

Expert Solution

You have asked multiple (2) unrelated questions in the same post. As if it was not enough, each of the questions have multiple sub parts. I have therefore addressed all the sub parts of the first question. Please post the balance question, separately. Please don't down vote just because I have answered only one question.

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Q - 1

Part (a)

Her financial postion after the stock split will be same as that before the stock split. After a stock split,

  • The total number of shares outstanding will double
  • Buyt the price will fall to half resulting in the same market cap.
  • Johana's numbr of share will also double but the share price will become half. So, her total wealth characterized by share price x number of shares will still remain the same.
  • Johana's ownership in the company will still remain the same as before.

Part (b)

Before the split,

Number of shares of BBVA Corporation oustanding, N0 = 30,000

Price of the share = P0 = 98

Q0 = number of shares owned by Johana =  N0 x % ownership = 30,000 x 8% = 2,400

Johaná's wealth, W0 = P0 x Q0 = 98 x 2,400 = 235,200

After the split,

Number of shares of BBVA Corporation oustanding, N1 = N0 x 2 = 30,000 x 2 = 60,000

Price of the share = P1 = P0 x (1 - 45%) = 98 x (1 - 45%) = 53.90

Q1 = number of shares owned by Johana = 2 x Q0 = 2 x 2,400 = 4,800

Johaná's wealth, W1 = P1 x Q1 = 53.90 x 4,800 = 258,720

Hence, Johana’s net gain from the split = W1 - W0 = 258,720 - 235,200 = 23,520

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