Concept explainers
Repurchases and the DCF model House of Haddock has 5,000 shares outstanding and the stock price is $140. The company is expected to pay a dividend of $20 per share next year and thereafter the dividend is expected to grow indefinitely by 5% a year. The president, George Mullet, now makes a surprise announcement: He says that the company will henceforth distribute half the cash in the form of dividends and the remainder will be used to repurchase stock. The repurchased stock will not be entitled to the dividend.
- a. What is the total value of the company before and after the announcement? What is the value of one share?
- b. What is the expected stream of dividends per share for an investor who plans to retain his shares rather than sell them back to the company? Check your estimate of share value by discounting this stream of dividends per share.
a)
To determine: The total value of the company before and after the announcement and also the value of one share.
Explanation of Solution
Computation of value of company before and after the announcement:
The company value and stock price will be same after the announcement.
Therefore, the value of one share is $140.
b)
To determine: The expected stream of dividends per share for an investor who plans to retrain the shares rather than sell them back to the company.
Explanation of Solution
For year 1:
For year 2:
Following table shows the overall scenario of two years based on above calculations:
Year 1 | Year 2 | |
Annual repurchase amount($) | 50,000 | 52,500 |
Annual dividend amount ($) | 50,000 | 52,500 |
Discount rate (%) | 19.29 | 11.69 |
Stock price ($) | 167 | 186.52 |
Shares repurchased | 299 | 281 |
New outstanding shares | 4,701 | 4,419 |
Dividend per share ($) | 10.64 | 11.88 |
Table no.1
In all subsequent years, the total dividend and repurchase amount will increase by 5% and the number of shares decreasing by:
Therefore, the share price is as follows:
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Chapter 16 Solutions
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