Question 4 (b)

Six differences between Gordon's and Walter's dividend models

6 marks

Time to write
About 12 minutes
Topic
Dividend theories and dividend policy

Question

Question 4 (b) · 6 marks

How is Gordon's model different from Walter's model of dividends? Explain any six points on which they differ.

Reworded from the university paper; the task is the same. The original paper belongs to the University of Delhi. See DU's question bank.

Before you write

Read off the question and its marks

12 minfor 6 marks

Read from the question

  • any sixThe paper asks for any 6, and this is one of them. Only 6 are marked: a further earns nothing.
  • differSet the differences out in a table, basis by basis, not as two separate essays.

Write it in this order

  1. Read; underline the asks; jot your points 1 min
  2. 1 Six points of difference, one mark each 6 marks 10 min
  3. Check: every ask answered, key terms underlined 1 min

Try it first. About 12 minutes for 6 marks. Write it out, then open the solution.

Solution

Hover or tap a marked figure, like 72,000, to see how it is made and where else it appears.

Both models hold that dividend policy is relevant to the value of the share, and both assume an all-equity firm that finances investment only from retained earnings, with constant r and ke and a perpetual life. They differ as follows:

#Point of differenceWalter's modelGordon's model
1FormulaP = [D + (r ÷ ke)(E − D)] ÷ keP = E(1 − b) ÷ (ke − br)
2Basis of valuationValue of the dividend plus the present value of the return earned on retained earningsPresent value of an infinite stream of dividends growing at a constant rate
3GrowthNo explicit growth rateGrowth is explicit: g = br, constant because b and r are constant
4Condition requiredNo restriction linking ke and growth; it assumes that earnings and dividends do not change while the value is determinedke must exceed the growth rate br
5Treatment of riskRisk is not considered; the value depends only on r compared with keInvestors are risk averse and value current dividends more than uncertain future gains ("bird in hand")
6When r = keDividend policy is irrelevant; the price is the same at every payoutIn Gordon's revised (bird-in-hand) model dividends still matter: investors put a premium on certain returns and the discount rate varies with the retention rate

Conclusion. Walter's model makes the dividend decision depend entirely on the firm's return on investment compared with its cost of capital; Gordon's model adds growth and investors' risk aversion, so it argues for paying dividends even in cases where Walter's model is indifferent.

Where the 6 marks sit

#ComponentMarks
1Six points of difference, one mark each6
Total6
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