D₁/(r - g) = stock price
Image: Wikideas1, CC0, via Wikimedia Commons
D₁/(r - g) = stock price
The dividend discount model (DDM) calculates the intrinsic value of a stock by discounting future dividend payments back to their present value. The formula D₁/(r - g) uses the expected dividend for the next period (D₁), the required rate of return (r), and the constant growth rate of dividends (g).
The DDM assumes that dividends will grow at a constant rate indefinitely, which simplifies the valuation process. This constant growth rate (g) is crucial as it affects the stock price calculation; a higher growth rate typically increases the stock price, while a lower growth rate decreases it.
Understanding the DDM helps investors determine whether a stock is overvalued or undervalued based on its expected future dividends. By comparing the calculated stock price with the current market price, investors can make informed decisions about buying or selling stocks.
Example
If a company pays an annual dividend of $2 (D₁), the required rate of return (r) is 10%, and the dividend growth rate (g) is 5%, the stock price (P) would be calculated as follows: P = $2 / (0.10 - 0.05) = $2 / 0.05 = $40.
The DDM provides a systematic approach to valuing stocks based on expected future dividends, aiding investors in making more informed investment decisions.
Dividend yield
Dividend yield = Annual dividend / Share price
Stock split
Stock split doubles shares, halves price
Interest
Compound interest formula: A = P(1 + r/n)^(nt)
d₁ and d₂ are in Black-Scholes: d₁ = [ln(S/K) + (r + σ²/2)T] / (σ√T), d₂ = d₁ - σ√T
d₁ = [ln(S/K) + (r + σ²/2)T] / (σ√T), d₂ = d₁ - σ√T
Market capitalization
Market capitalization = share price × shares outstanding
the Capital Asset Pricing Model (CAPM) says
CAPM formula: Expected return = Rf + β(Rm - Rf)
Educational content, not financial advice.
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