Lesson 4 of 8 · 14 min

Valuing shares with dividend discount models

A share is worth the present value of all the dividends it is expected to pay, and the growth pattern you assume decides which formula to use.

In short

  • Equity has no maturity, so its value is the PV of expected dividends forever, discounted at the required return r.
  • Constant dividend (e.g. preferred stock): PV=D/rPV = D/r.
  • Constant growth (Gordon): PV0=D1/(r−g)PV_0 = D_1/(r-g) with D1=D0(1+g)D_1 = D_0(1+g). It needs r>gr > g.
  • Changing growth (two-stage): discount each high-growth dividend, then add the terminal value Dn+1/(r−gL)D_{n+1}/(r-g_L) discounted n periods.
  • Value rises with expected growth and falls with the required return.

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Valuing shares with dividend discount models · Time Value of Money in Finance