CHAPTER: DIVIDEND POLICY AND FIRM VALUEPRESENTED BY:VIKRAM RAJAIRAJKUMAR PRAJAPATIDIVYAKANT CHOPADA
CONTENTS DIVIDEND POLICY FIVE SECTIONS OF DIVIDEND POLICY
DIVIDEND POLICY WHY DIVIDEND POLICY ?Dividend policy of a firm determines whatproportion of earnings is paid toshareholders by way of dividends andwhat proportion is ploughed back in thefirm for investment purposes.
FIVE SECTIONS OF DIVIDENDPOLICY 1. Models in which investment and dividend decisions are related. 2. Traditional positions. 3. Miller and Modigliani position. 4. Radical position. 5. Overall picture.
1. Models in which investment and dividenddecisions are related. WALTER MODEL James Walter has proposed a model of share valuation which supports the view that the dividend policy of the firm has the bearing on share valuation. His model is based on the following assumptions: 1. The firm is an all-equity financed entity. It will rely only on retained earnings to finance its future investments. This means that the investment decision is depend on the dividend decisions. 2. The rate of return on investments is constant. 3. The firm has an infinite life.
Equation: P = D + (E - D)r/K kP = price per equity shareD = dividend per shareE = earnings per share(E - D) = retained earnings per sharer = rate of return on investmentsk = cost of capital
Numerical example for Walter ModelGrowth firm: r>k Normal firm: r=k Declining firm: r<kr = 20% r = 15% r = 10%k = 15% k = 15% k = 15%E = rs. 4 E = rs. 4 E = rs. 4 If D= 4 If D= 4 If D= 4P0= 4+(0).20/.15 P0= 4+(0).15/.15 P0= 4+(0).10/.15 0.15 0.15 0.15 = Rs. 26.67 = Rs, 26.67 = Rs. 26.67 If D= 2 If D= 2 If D= 2P0= 2+(0).20/.15 P0=2+(0).15/.15 P0= 2+(0).10/.15 0.15 0.15 0.15 = Rs. 31.11 = Rs, 26.67 = Rs. 22.22
1. Models in which investment anddividend decisions are related. (cont.) GORDON MODEL Myron Gordon proposed a model of stock valuation by using the dividend capitalization approach. His model is based on following assumptions: 1. Retained earnings represent the only source of financing the firm. 2. The rate of return on the firm’s investment is constant. 3. The growth rate of the firm is the product of its retention ratio and its rate of return. 4. The cost of capital for the firm remains constant and it is greater than the growth rate. 5. The firm has perpetual life. 6. Tax does not exist.
Equation: P0 = E1 (1 - b) k – brP0 =price at the end of the year 0E1 = earning per share at the end of the year 1(1 - b) = fraction of earnings the firm distributes by way of dividendsb = fraction of earnings the firm retainsk = rate of return required by the shareholdersr = rate of return earned on investmentsbr = growth rate of earnings and dividends
Numerical example for Gordon ModelGrowth firm: r>k Normal firm: r=k Declining firm: r<kr = 20% r = 15% r = 10%k = 15% k = 15% k = 15%E = rs. 4 E = rs. 4 E = rs. 4 If b=0.25 If b=0.25 If b=0.25 P0= (0.75)4 P0= (0.75)4 P0= (0.75)4 0.15-(0.25)(0.20) 0.15-(0.25)(0.15) 0.15-(0.25)(0.10) = Rs. 30 = Rs, 26.67 = Rs. 24.00 If b=Rs. 0.5 If b=Rs. 0.5 If b=Rs. 0.5 P0= (0.50)4 P0= (0.50)4 P0= (0.50)4 0.15-(0.5)(0.20) 0.15-(0.5)(0.15) 0.15-(0.5)(0.10) = Rs. 40 = Rs, 26.67 = Rs. 20.00
2. Traditional positions. The traditional position expounded by Graham and Dodd holds that the stock market places considerably more weight on dividends than on retained earnings.
Equation: P = m (D + E/3)P = market price per shareD = dividend per shareE = earnings per sharem = multiplierHere, E = (D + R)P = m (D + D + R) 3
Empirical EvidenceAdvocates of the traditional position cite the results of cross-section regression analysis like the following:Price = a + b Dividend + c Retained earningsPrice = a + b Dividend + c Retained earnings + d Risk
3. Miller and Modigliani position. Miller and Modigliani have advanced the view that the value of a firm depends solely on its earning power and it is not influenced by the manner in which its earnings are split between dividends and retained earnings. The following are the assumptions: 1. Capital markets are perfect and investors are rational: information is freely available, transactions are instantaneous and costless, securities are divisible, and no investor can influence market prices. 2. Floatation costs are nil. 3. There are no taxes. 4. Investment opportunities and future profits of firms are known with certainty. 5. Investment and dividend decisions are independent.
Equation:P0 = 1 ( D1 + P1) (1 + p)P0 = market price per share at time 0D1 = dividend per share at time 1P1 = market price per share at time 1
Criticisms of MM Position Information About Prospects Uncertainty and Fluctuations Offering of Additional Equity at Lower Prices Issue Cost Transaction Cost Differential Rates of Taxes Rationing: Self-imposed or Market- imposed Unwise Investments
4. Radical position.Dividends are taxed more heavily than capital gains, directly or indirectly. Hence, the radicalists argue that firms should pay as little dividend as they can get away with so that investors earn more by way of capital gains and less by way of dividends.Return = a + b BETA + c EXPECTED DIVIDEND YIELD
5. Overall picture. Dividend policy and share value are two broad schools of thoughts Perfect market Imperfect market