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The formula is an application of an old valuation methodology called "the dividend discount model" or the "Gordon growth model", where a business is valued as a stream of its dividends. This model pre-dates discounted cash flow valuation, and the capital asset pricing model on which DCF is based. What we are doing at the back end of our financial model is applying a very old methodology to determine the valuation of the company at the end of the cash flow forecast period.

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Q: Where does the terminal value formula in DCF valuation come from?
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