23. An investor has invested in N shares in an all-equity firm that will operate for one year. The firm will
receive $v today and at the end of year 1. The firm has no positive net present value projects. The
stockholder’s required return on equity for this firm is r%. Currently there are So shares outstanding.
The firm’s managers have a choice between two dividend policies: (1) paying out all receipts today and
at time 1 ($v each time) or (2) paying out $p today and $ans2 at time 1. The first policy will result in
dividends of $div1 per share today and at time 1. The second policy results in per share dividends of
$div2a today and $div2b at time 1. Assume the corporation elects to pay the second dividend policy.
An investor holding N shares, however, prefers to receive the first policy set of dividends ($div1 per
share today and at time 1). Describe and show necessary calculations for how the investor could make
his or her own dividends (homemade dividends) and achieve the cash flows associated with the second
policy thereby indicating the dividend policy choice is irrelevant in perfect capital markets.
24. There are no taxes. Firm A currently has n million shares with per-share value $mv. The next
dividend, $div/share, will be paid 1 year from now. Then dividends will rise by g% the following year.
Firm B has identical operations and will always have the same total $ amount of earnings. It also has
the same number of shares. Also, firm B intends to pay out the same amount of cash (in total, not per–
share) as firm A, but will pay out half of the cash as a repurchase, and half as a dividend that occurs
just before the repurchase (i.e., the repurchase is ex-dividend). B will again distribute the same total
amount of cash as A in the second year, again using half repurchase and half dividend. A and B both
have r% required return.
a) What is the per share dividend for firm B the first year?
b) How many shares will firm B repurchase at what price the first year?
c) What is the per-share dividend for firm B the second year?
25. Respond to the following: “I want companies that pay dividends. Once a dollar is paid out I have it for
sure, whereas I face a lot of risk when dividends are not paid.”