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In financial economics, the dividend discount model (DDM) is a method of valuing the price of a company's capital stock or business value based on the assertion that intrinsic value is determined by the sum of future cash flows from dividend payments to shareholders, discounted back to their present value.
SPM is derived from the compound interest formula via the present value of a perpetuity equation. The derivation requires the additional variables X {\displaystyle X} and R {\displaystyle R} , where X {\displaystyle X} is a company's retained earnings, and R {\displaystyle R} is a company's rate of return on equity.
For example, with an annual growth rate of 4.8% the doubling time is 14.78 years, and a doubling time of 10 years corresponds to a growth rate between 7% and 7.5% (actually about 7.18%). When applied to the constant growth in consumption of a resource, the total amount consumed in one doubling period equals the total amount consumed in all ...
Here various adjustments to the balance sheet book value may be required; [1] see Clean surplus accounting. More typically, the company is assumed to achieve maturity or "constant growth", at time , and the below formulae are applied instead. [2] (Note that the value will remain identical: the adjustment is a "telescoping" device).
The forecast period must be chosen to be appropriate to the company's strategy, its market, or industry; [2] theoretically corresponding to the time for the company's return to "converge" to that of its industry, with constant, long term growth applying to the continuing value thereafter; although, regardless, 5–10 years is common in practice ...
If the RGR is constant, i.e., =, a solution to this equation is = Where: S(t) is the final size at time (t). S 0 is the initial size. k is the relative growth rate. A closely related concept is doubling time.
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[The formula does not make clear over what the summation is done. P C = 1 n ⋅ ∑ p t p 0 {\displaystyle P_{C}={\frac {1}{n}}\cdot \sum {\frac {p_{t}}{p_{0}}}} On 17 August 2012 the BBC Radio 4 program More or Less [ 3 ] noted that the Carli index, used in part in the British retail price index , has a built-in bias towards recording ...