Repurchases and the DCF model Little Oil has 1 million shares outstanding with a total market value of $20 million. The firm is expected to pay $1 million of dividends next year, and thereafter the amount paid out is expected to grow by 5% a year in perpetuity. Thus, the expected dividend is $1.05 million in year 2, $1.1025 million in year 3, and so on. However, the company has heard that the value of a share depends on the flow of dividends, and therefore, it announces that next year’s dividend will be increased to $2 million and that the extra cash will be raised immediately afterward by an issue of shares. After that, the total amount paid out each year will be as previously forecasted—that is, $1.05 million in year 2 and increasing by 5% in each subsequent year.
- a. At what price will the new shares be issued in year 1?
- b. How many shares will the firm need to issue?
- c. What will be the expected dividend payments on these new shares, and what therefore will be paid out to the old shareholders after year 1?
- d. Show that the
present value of the cash flows to current shareholders remains $20 million.
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PRIN.OF CORPORATE FINANCE
- DFB, Inc. expects earnings next year of $5.63 per share, and it plans to pay a $4.11 dividend to shareholders (assume that is one year from now). DFB will retain $1.52 per share of its earnings to reinvest in new projects that have an expected return of 14.8% per year. Suppose DFB will maintain the same dividend payout rate, retention rate, and return on new investments in the future and will not change its number of outstanding shares. Assume next dividend is due in one year. a. What growth rate of earnings would you forecast for DFB? b. If DFB's equity cost of capital is 12.5%, what price would you estimate for DFB stock today? c. Suppose instead that DFB paid a dividend of $5.11 per share at the end of this year and retained only $0.52 per share in earnings. That is, it chose to pay a higher dividend instead of reinvesting in as many new projects. If DFB maintains this higher payout rate in the future, what stock price would you estimate for the firm now? Should DFB raise its…arrow_forwardDFB, Inc. expects earnings next year of $4.73 per share, and it plans to pay a $3.09 dividend to shareholders (assume that is one year from now). DFB will retain $1.64 per share of its earnings to reinvest in new projects that have an expected return of 15.4% per year. Suppose DFB will maintain the same dividend payout rate, retention rate, and return on new investments in the future and will not change its number of outstanding shares. Assume next dividend is due in one year. a. What growth rate of earnings would you forecast for DFB? b. If DFB's equity cost of capital is 12.6%, what price would you estimate for DFB stock today? c. Suppose instead that DFB paid a dividend of $4.09 per share at the end of this year and retained only $0.64 per share in earnings. That is, it chose to pay a higher dividend instead of reinvesting in as many new projects. If DFB maintains this higher payout rate in the future, what stock price would you estimate for the firm now? Should DFB raise its…arrow_forwardDFB, Inc. expects earnings next year of $4.41 per share, and it plans to pay a $2.02 dividend to shareholders (assume that is one year from now). DFB will retain $2.39 per share of its earnings to reinvest in new projects that have an expected return of 15.7% per year. Suppose DFB will maintain the same dividend payout rate, retention rate, and return on new investments in the future and will not change its number of outstanding shares. Assume next dividend is due in one year. a. What growth rate of earnings would you forecast for DFB? b. If DFB's equity cost of capital is 12.8%, what price would you estimate for DFB stock today? c. Suppose instead that DFB paid a dividend of $3.02 per share at the end of this year and retained only $1.39 per share in earnings. That is, it chose to pay a higher dividend instead of a. What growth rate of earnings would you forecast for DFB? DFB's growth rate of earnings is%. (Round to one decimal place.)arrow_forward
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