{"id":37574,"date":"2022-01-21T17:49:41","date_gmt":"2022-01-21T12:19:41","guid":{"rendered":"https://www.5paisa.com/finschool/?post_type=markets\u0026#038;p=37574"},"modified":"2025-09-29T22:08:08","modified_gmt":"2025-09-29T16:38:08","slug":"understanding-cash-flows","status":"publish","type":"markets","link":"https://www.5paisa.com/finschool/course/fundamental-analysis-course/understanding-cash-flows/","title":{"rendered":"Understanding Cash Flows"},"content":{"rendered":"\u003cdiv data-elementor-type=\u0022wp-post\u0022 data-elementor-id=\u002237574\u0022 class=\u0022elementor elementor-37574\u0022\u003e\u003csection class=\u0022elementor-section elementor-top-section elementor-element elementor-element-23ba90b elementor-section-full_width tab_container elementor-section-height-default elementor-section-height-default\u0022 data-id=\u002223ba90b\u0022 data-element_type=\u0022section\u0022\u003e\u003cdiv class=\u0022elementor-container 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255); min-height:400px; \u0027\u003e\u003ch3 style=\u0022text-align: left\u0022\u003e\u003cstrong\u003e\u003cspan style=\u0022color: #f1566d\u0022\u003e7.1 Introduction\u003c/span\u003e\u003c/strong\u003e\u003c/h3\u003e\u003cp\u003e\u003ca href=\u0022https://www.5paisa.com/hindi/finschool/wp-content/uploads/2022/01/Money-income-rafiki.svg\u0022\u003e\u003cimg fetchpriority=\u0022high\u0022 decoding=\u0022async\u0022 class=\u0022size-full wp-image-16563 aligncenter\u0022 role=\u0022img\u0022 src=\u0022https://www.5paisa.com/hindi/finschool/wp-content/uploads/2022/01/Money-income-rafiki.svg\u0022 alt=\u0022\u0022 width=\u0022500\u0022 height=\u0022500\u0022 srcset=\u0022https://www.5paisa.com/hindi/finschool/wp-content/uploads/2022/01/Money-income-rafiki.svg 150w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Money-income-rafiki.svg 300w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Money-income-rafiki.svg 1024w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Money-income-rafiki.svg 1536w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Money-income-rafiki.svg 2048w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Money-income-rafiki.svg 500w\u0022 sizes=\u0022(max-width: 500px) 100vw, 500px\u0022 /\u003e\u003c/a\u003e\u003c/p\u003e\u003cp\u003eOne of the most important question to a common equity investor is: given what is known from the company\u0026#8217;s financial disclosures, how much should he be willing to pay to participate in the revenues of the company as a shareholder? What is the \u0026#8220;correct\u0026#8221; price for a share of the company\u0026#8217;s common stock and how does this compare with the current market price?\u003c/p\u003e\u003cp\u003eThe process by which an analyst or investor endeavors to determine the fair price for a stock based on its financial data is called fundamental analysis. The central assumption of fundamental analysis is that it is possible to incorporate all available information about the company\u0026#8217;s current state and future prospects into a valuation model to produce an objective price for the company\u003c/p\u003e\u003cp\u003eThere are three basic approaches to valuing common shares:\u003c/p\u003e\u003cul\u003e\u003cli\u003eDiscounted cash flow valuation\u003c/li\u003e\u003cli\u003eRelative valuation\u003c/li\u003e\u003cli\u003eAsset-based valuation\u003c/li\u003e\u003c/ul\u003e\u003cp\u003eAnalysts frequently use more than one approach to estimate the value of a common share. Once an estimate of value has been determined, it can be compared with the current price of the share, assuming that the share is publicly traded, to determine whether the share is overvalued, undervalued, or fairly valued.\u003c/p\u003e\u003c/div\u003e\u003cdiv id=\u0027text_slider_slide02\u0027 class=\u0027sa_hover_container\u0027 data-hash=\u0027Discounted-Cashflow-Model\u0027 style=\u0027padding:4.9% 5%; margin:0px 0.1%; background-color:rgb(255, 255, 255); min-height:400px; \u0027\u003e\u003ch3 style=\u0022text-align: left\u0022\u003e\u003cstrong\u003e\u003cspan style=\u0022color: #f1566d\u0022\u003e7.2 Discounted Cashflow Model\u003c/span\u003e\u003c/strong\u003e\u003c/h3\u003e\u003cp\u003e\u003ca href=\u0022https://www.5paisa.com/hindi/finschool/wp-content/uploads/2022/01/Thinking-face-rafiki.svg\u0022\u003e\u003cimg decoding=\u0022async\u0022 class=\u0022size-full wp-image-16564 aligncenter\u0022 role=\u0022img\u0022 src=\u0022https://www.5paisa.com/hindi/finschool/wp-content/uploads/2022/01/Thinking-face-rafiki.svg\u0022 alt=\u0022\u0022 width=\u0022500\u0022 height=\u0022500\u0022 srcset=\u0022https://www.5paisa.com/hindi/finschool/wp-content/uploads/2022/01/Thinking-face-rafiki.svg 150w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Thinking-face-rafiki.svg 300w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Thinking-face-rafiki.svg 1024w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Thinking-face-rafiki.svg 1536w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Thinking-face-rafiki.svg 2048w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Thinking-face-rafiki.svg 500w\u0022 sizes=\u0022(max-width: 500px) 100vw, 500px\u0022 /\u003e\u003c/a\u003eThe discounted cash flow (DCF) valuation approach takes into account the time value of money. This approach estimates the value of a security as the present value of all future cash flows that the investor expects to receive from the security. This valuation approach applied to common shares relies on an analysis of the characteristics of the company issuing the shares, such as the company’s ability to generate earnings, the expected growth rate of earnings, and the level of risk associated with the company’s business environment. \u003cstrong\u003eCommon shareholders expect to receive two types of cash flows from investing in equity securities: dividends and the proceeds from selling their shares.\u003c/strong\u003e\u003c/p\u003e\u003cp\u003eAssuming we know the n cash flows CF1, CF2,\u0026#8230; CFn that will be produced by the asset at times t1, t2,\u0026#8230; tn and the relevant discount rates for each r1, r2,\u0026#8230;rn, then the present value of the asset can be expressed as:\u003c/p\u003e\u003cp\u003e\u003cimg decoding=\u0022async\u0022 class=\u0022wp-image-16477 size-full aligncenter\u0022 src=\u0022https://www.5paisa.com/hindi/finschool/wp-content/uploads/2022/01/form-1-e1642096501247.png\u0022 alt=\u0022\u0022 width=\u0022433\u0022 height=\u002285\u0022 srcset=\u0022https://www.5paisa.com/hindi/finschool/wp-content/uploads/2022/01/form-1-e1642096501247.png 433w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/form-1-e1642096501247-300x59.png 300w\u0022 sizes=\u0022(max-width: 433px) 100vw, 433px\u0022 /\u003e\u003c/p\u003e\u003cp\u003e\u003cstrong\u003eLets take an Example on the application of DCF approach:\u003c/strong\u003e On 1 January 2022, an investor expects Britannia, to generate dividends of Rs.10. per share at the end of 2022, Rs.12 per share at the end of 2023, and Rs.15 per share at the end of 2024.\u003c/p\u003e\u003cp\u003eFurthermore, the investor estimates that the stock price of Britannia will trade at Rs.4000 per share at the end of 2024. Note that, under the DCF valuation approach, the expected price of Britannia stock at the end of 2024 (Rs4000per share) represents the present value of cash flows to investors expected to be generated by the company beyond 2024. The investor considers all risks and concludes that a discount rate of 14% is appropriate. In other words, the investor wants to earn at least an annual rate of return of 14% by investing in Britannia\u003c/p\u003e\u003cp\u003eThe estimated value of a Britannia share using the DCF valuation approach is equal to the present value of the cash flows the investor expects to receive from the equity investment.\u003c/p\u003e\u003cp\u003eThe investor computes the present value of the expected cash flows as follows:\u003c/p\u003e\u003cp\u003eValue = 10/(1.14)^1+ (12/1.14)^2+ 15/(1.14)^3+ 4000/(1.14)^3= Rs.2728\u003c/p\u003e\u003cp\u003eSo, the investor\u0026#8217;s estimated value of Britannia on a per share basis is Rs.2728. If shares of Volkswagen are priced at less than Rs.2728 on 1 January 2022, the investor may conclude that the stock is undervalued and decide to buy it. Alternatively, if the stock is priced at more than Rs. 2728, the investor may conclude that the stock is overvalued and decide not to buy.\u003c/p\u003e\u003cp\u003eThis is a simplified calculations since the assumptions were given. However, in real-world finance, it will be necessary to make a few assumptions about these cash flows and discount rates. And also answer an important question related to valuations\u003c/p\u003e\u003c/div\u003e\u003cdiv id=\u0027text_slider_slide03\u0027 class=\u0027sa_hover_container\u0027 data-hash=\u0027Question-Which-Cashflows-To-Use?\u0027 style=\u0027padding:4.9% 5%; margin:0px 0.1%; background-color:rgb(255, 255, 255); min-height:400px; \u0027\u003e\u003ch3 style=\u0022text-align: left\u0022\u003e\u003cstrong\u003e\u003cspan style=\u0022color: #f1566d\u0022\u003e7.3 Question- Which Cashflows To Use?\u003c/span\u003e\u003c/strong\u003e\u003c/h3\u003e\u003cp\u003e\u003ca href=\u0022https://www.5paisa.com/hindi/finschool/wp-content/uploads/2022/01/Investing-pana.svg\u0022\u003e\u003cimg loading=\u0022lazy\u0022 decoding=\u0022async\u0022 class=\u0022size-full wp-image-16603 aligncenter\u0022 role=\u0022img\u0022 src=\u0022https://www.5paisa.com/hindi/finschool/wp-content/uploads/2022/01/Investing-pana.svg\u0022 alt=\u0022\u0022 width=\u0022500\u0022 height=\u0022500\u0022 srcset=\u0022https://www.5paisa.com/hindi/finschool/wp-content/uploads/2022/01/Investing-pana.svg 150w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Investing-pana.svg 300w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Investing-pana.svg 1024w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Investing-pana.svg 1536w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Investing-pana.svg 2048w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Investing-pana.svg 500w\u0022 sizes=\u0022(max-width: 500px) 100vw, 500px\u0022 /\u003e\u003c/a\u003e\u003c/p\u003e\u003cp\u003e\u0026nbsp;\u003c/p\u003e\u003cp\u003eThe correct answers to the question of \u0026#8220;What cash flows and what rates?\u0026#8221; is, of course, \u0026#8220;All those that matter\u0026#8221; and \u0026#8220;At the rates that the market requires.\u0026#8221; This may be a uselessly vague response but it is, nonetheless, the correct one. The models presented below provide a conceptual framework for determining the fair price to pay for a stock, but they are only a starting point. The role of the financial analyst is to use his understanding of the specific details of the company to produce a valuation that incorporates judicious estimates of the magnitude and timing of all future cash flows, their probabilities, and the appropriate discount rates to apply to. Each company is unique, and what matters is that the valuation makes sense and provides insight, not that it adheres to some standardized model.\u003c/p\u003e\u003cp\u003e\u003cstrong\u003eDividend discount model (DDM):\u003c/strong\u003e The only cash flows that are actually received by the common shareholder are dividends. Therefore, the simplest answer to the question “What will I get for owning this stock?” is to compute all future dividend payments and then discount them to the present at the cost of equity.\u003c/p\u003e\u003cp\u003eThe cost of equity, KE, is equal to the sum of the risk-free rate of interest (rf ), which can be taken as the return on a riskless government bond of similar maturity, and the equity risk premium (Rm-Rf), which is the additional amount required by investors to compensate for the riskiness associated with an equity investment.\u003c/p\u003e\u003cp\u003eThe value of the firm under the Dividend Discount Model is then:\u003c/p\u003e\u003cp\u003e\u003cimg loading=\u0022lazy\u0022 decoding=\u0022async\u0022 class=\u0022size-full wp-image-16478 aligncenter\u0022 src=\u0022https://www.5paisa.com/hindi/finschool/wp-content/uploads/2022/01/form-2.jpg\u0022 alt=\u0022\u0022 width=\u0022300\u0022 height=\u002283\u0022 /\u003e\u003c/p\u003e\u003cp\u003eHere the CF = Dividends.\u003c/p\u003e\u003cp\u003eK= Cost of equity\u003c/p\u003e\u003cp\u003eAs you can see: there are two basic inputs to the model \u0026#8211; expected dividends and the cost on equity. To obtain the expected dividends, one has to make assumptions about expected future growth rates in earnings and payout ratios. The required rate of return on a stock is determined by its riskiness, measured differently in different models \u0026#8211; the market beta in the CAPM, and the factor betas in the arbitrage and multi-factor models. The model is flexible enough to allow for time-varying discount rates, where the time variation is caused by expected changes in interest rates or risk across time.\u003c/p\u003e\u003ch5\u003e\u003cspan style=\u0022color: #000080\u0022\u003e\u003cstrong\u003eFree Cashflows\u003c/strong\u003e\u003c/span\u003e\u003c/h5\u003e\u003cp\u003eThe obvious problem with the dividend discount model is that it will not work if the company does not pay a regular dividend. A growing company with an above-average ROE would be expected to retain its earnings and channel them back into the business where they can earn an attractive return and promote growth-this hardly makes the company worthless. However, since the common stock is a claim on the present and future benefits of the company, it should not matter whether profits are paid out as dividends or retained by the company-share ownership entitles the investor to their proportional share of those profits, wherever they are. An alternate approach is therefore to value a company based on how much money it generates, regardless of whether that money is returned to investors or reinvested in the business.\u003c/p\u003e\u003cp\u003e\u003cstrong\u003eA free cash flow valuation can be done in two ways: \u003c/strong\u003e\u003c/p\u003e\u003cul\u003e\u003cli\u003e\u003cp\u003e\u003cstrong\u003eValuing only the equity portion of the firm using the free cash flow to equity (FCFE), or \u003c/strong\u003e\u003c/p\u003e\u003c/li\u003e\u003cli\u003e\u003cp\u003e\u003cstrong\u003eValuing the entire firm using the free cash flow to the firm (FCFF).\u003c/strong\u003e\u003c/p\u003e\u003c/li\u003e\u003c/ul\u003e\u003cp\u003eBoth are measures of free cash flow (i.e., net income adjusted for mandatory expenses, depreciation, and amortization, working capital needs, etc.) with the difference that the free cash flow to equity includes only that free cash that is available for payment to equity holders as dividends, while free cash flow to the firm includes all cash available before payments on borrowed funds.\u003c/p\u003e\u003cp\u003e\u003cstrong\u003eFormula for:\u003c/strong\u003e\u003c/p\u003e\u003cp\u003e\u003cstrong\u003eFree Cashflow to Firm= \u003c/strong\u003e\u003cstrong\u003eCash flow from Operations \u0026#8211; Net Investment in Long Term Assets\u003c/strong\u003e\u003c/p\u003e\u003cp\u003e\u003cstrong\u003eFree Cashflow to Equity = Cashflow from Operations- Capital Expenditure+ Net Borrowing\u003c/strong\u003e\u003c/p\u003e\u003cp\u003eThe discounting rates applied to the two types of cash flows are different. For the free cash flow to equity, the relevant discount rate is the \u003cstrong\u003ecost of equity \u003c/strong\u003e(rCE), the same as was used in the Dividend Discount Model. In reality, the only difference between the models is that in the FCFE model, we are valuing the company based on the cash available to pay out as dividends while in the DDM the valuation is based on the cash actually paid as dividends.\u003c/p\u003e\u003cp\u003eIf the firm paid out all free cash flow as dividends, the Dividend discount model and free cashflow to the firm valuations would be the same. In the Free Cash Flow to the Firm model, the discounting rate must incorporate the different rates of return required on equity, debt, and preferred stock, in proportion to the weight of each in the firm\u0026#8217;s financing mix. This is precisely what the weighted average cost of capital (WACC) does.\u003c/p\u003e\u003cp\u003eThe two valuation models can be expressed by the following formulas:\u003c/p\u003e\u003cp\u003e\u003cimg loading=\u0022lazy\u0022 decoding=\u0022async\u0022 class=\u0022wp-image-16479 size-full aligncenter\u0022 src=\u0022https://www.5paisa.com/hindi/finschool/wp-content/uploads/2022/01/form-3-e1642096905945.png\u0022 alt=\u0022\u0022 width=\u0022276\u0022 height=\u0022129\u0022 /\u003e\u003c/p\u003e\u003cp\u003eIt is important to realize that the two models are valuing different things. The FCFE valuation gives the present value of that portion of the firm\u0026#8217;s earnings that is available to the common equity holders. The FCFF model values the entire company, including its debt and will therefore produce a higher value than valuation of only the equity.\u003c/p\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003cscript type=\u0027text/javascript\u0027\u003ejQuery(document).ready(function()  {jQuery(\u0027#text_slider\u0027).owlCarousel({items  :  1,smartSpeed  :  400,autoplay  :  false,autoplayHoverPause  :  false,smartSpeed  :  400,fluidSpeed  :  400,autoplaySpeed  :  400,navSpeed  :  400,dotsSpeed  :  400,dotsEach  :  1,loop  :  false,nav  :  true,navText  :  [\u0027Previous\u0027,\u0027Next\u0027],dots  :  true,responsiveRefreshRate  :  200,slideBy  :  1,mergeFit  :  true,autoHeight  :  true,mouseDrag  :  false,touchDrag  :  true});jQuery(\u0027#text_slider\u0027).css(\u0027visibility\u0027, \u0027visible\u0027);var  owl_goto  =  jQuery(\u0027#text_slider\u0027);jQuery(\u0027.text_slider_goto1\u0027).click(function(event){owl_goto.trigger(\u0027to.owl.carousel\u0027,  0);});jQuery(\u0027.text_slider_goto2\u0027).click(function(event){owl_goto.trigger(\u0027to.owl.carousel\u0027,  1);});jQuery(\u0027.text_slider_goto3\u0027).click(function(event){owl_goto.trigger(\u0027to.owl.carousel\u0027,  2);});var  resize_16476  =  jQuery(\u0027.owl-carousel\u0027);resize_16476.on(\u0027initialized.owl.carousel\u0027,  function(e)  {if  (typeof(Event)  === \u0027function\u0027)  {window.dispatchEvent(new  Event(\u0027resize\u0027));}  else  {var  evt  =  window.document.createEvent(\u0027UIEvents\u0027);evt.initUIEvent(\u0027resize\u0027,  true,  false,  window,  0);window.dispatchEvent(evt);}});});\u003c/script\u003e\u003c/p\u003e\u003c/div\u003e\u003cdiv id=\u0022slides-tab\u0022 class=\u0022clearfix eael-tab-content-item \u0022 data-title-link=\u0022slides-tab\u0022\u003e\u003cp\u003e\u003cdiv class=\u0027white\u0027 style=\u0027background:rgb(255, 255, 255); border:solid 0px rgb(255, 255, 255); border-radius:0px; padding:0px 0px 0px 1px;\u0027\u003e\u003cdiv id=\u0027text_slider\u0027 class=\u0027owl-carousel sa_owl_theme owl-pagination-true\u0027 data-slider-id=\u0027text_slider\u0027 style=\u0027visibility: visible;visibility:visible;\u0027\u003e\u003cdiv id=\u0027text_slider_slide01\u0027 class=\u0027sa_hover_container\u0027 data-hash=\u0027Introduction\u0027 style=\u0027padding:4.9% 5%; margin:0px 0.1%; background-color:rgb(255, 255, 255); min-height:400px; \u0027\u003e\u003ch3 style=\u0022text-align: left\u0022\u003e\u003cstrong\u003e\u003cspan style=\u0022color: #f1566d\u0022\u003e7.1 Introduction\u003c/span\u003e\u003c/strong\u003e\u003c/h3\u003e\u003cp\u003e\u003ca href=\u0022https://www.5paisa.com/hindi/finschool/wp-content/uploads/2022/01/Money-income-rafiki.svg\u0022\u003e\u003cimg fetchpriority=\u0022high\u0022 decoding=\u0022async\u0022 class=\u0022size-full wp-image-16563 aligncenter\u0022 role=\u0022img\u0022 src=\u0022https://www.5paisa.com/hindi/finschool/wp-content/uploads/2022/01/Money-income-rafiki.svg\u0022 alt=\u0022\u0022 width=\u0022500\u0022 height=\u0022500\u0022 srcset=\u0022https://www.5paisa.com/hindi/finschool/wp-content/uploads/2022/01/Money-income-rafiki.svg 150w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Money-income-rafiki.svg 300w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Money-income-rafiki.svg 1024w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Money-income-rafiki.svg 1536w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Money-income-rafiki.svg 2048w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Money-income-rafiki.svg 500w\u0022 sizes=\u0022(max-width: 500px) 100vw, 500px\u0022 /\u003e\u003c/a\u003e\u003c/p\u003e\u003cp\u003eOne of the most important question to a common equity investor is: given what is known from the company\u0026#8217;s financial disclosures, how much should he be willing to pay to participate in the revenues of the company as a shareholder? What is the \u0026#8220;correct\u0026#8221; price for a share of the company\u0026#8217;s common stock and how does this compare with the current market price?\u003c/p\u003e\u003cp\u003eThe process by which an analyst or investor endeavors to determine the fair price for a stock based on its financial data is called fundamental analysis. The central assumption of fundamental analysis is that it is possible to incorporate all available information about the company\u0026#8217;s current state and future prospects into a valuation model to produce an objective price for the company\u003c/p\u003e\u003cp\u003eThere are three basic approaches to valuing common shares:\u003c/p\u003e\u003cul\u003e\u003cli\u003eDiscounted cash flow valuation\u003c/li\u003e\u003cli\u003eRelative valuation\u003c/li\u003e\u003cli\u003eAsset-based valuation\u003c/li\u003e\u003c/ul\u003e\u003cp\u003eAnalysts frequently use more than one approach to estimate the value of a common share. Once an estimate of value has been determined, it can be compared with the current price of the share, assuming that the share is publicly traded, to determine whether the share is overvalued, undervalued, or fairly valued.\u003c/p\u003e\u003c/div\u003e\u003cdiv id=\u0027text_slider_slide02\u0027 class=\u0027sa_hover_container\u0027 data-hash=\u0027Discounted-Cashflow-Model\u0027 style=\u0027padding:4.9% 5%; margin:0px 0.1%; background-color:rgb(255, 255, 255); min-height:400px; \u0027\u003e\u003ch3 style=\u0022text-align: left\u0022\u003e\u003cstrong\u003e\u003cspan style=\u0022color: #f1566d\u0022\u003e7.2 Discounted Cashflow Model\u003c/span\u003e\u003c/strong\u003e\u003c/h3\u003e\u003cp\u003e\u003ca href=\u0022https://www.5paisa.com/hindi/finschool/wp-content/uploads/2022/01/Thinking-face-rafiki.svg\u0022\u003e\u003cimg decoding=\u0022async\u0022 class=\u0022size-full wp-image-16564 aligncenter\u0022 role=\u0022img\u0022 src=\u0022https://www.5paisa.com/hindi/finschool/wp-content/uploads/2022/01/Thinking-face-rafiki.svg\u0022 alt=\u0022\u0022 width=\u0022500\u0022 height=\u0022500\u0022 srcset=\u0022https://www.5paisa.com/hindi/finschool/wp-content/uploads/2022/01/Thinking-face-rafiki.svg 150w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Thinking-face-rafiki.svg 300w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Thinking-face-rafiki.svg 1024w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Thinking-face-rafiki.svg 1536w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Thinking-face-rafiki.svg 2048w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Thinking-face-rafiki.svg 500w\u0022 sizes=\u0022(max-width: 500px) 100vw, 500px\u0022 /\u003e\u003c/a\u003eThe discounted cash flow (DCF) valuation approach takes into account the time value of money. This approach estimates the value of a security as the present value of all future cash flows that the investor expects to receive from the security. This valuation approach applied to common shares relies on an analysis of the characteristics of the company issuing the shares, such as the company’s ability to generate earnings, the expected growth rate of earnings, and the level of risk associated with the company’s business environment. \u003cstrong\u003eCommon shareholders expect to receive two types of cash flows from investing in equity securities: dividends and the proceeds from selling their shares.\u003c/strong\u003e\u003c/p\u003e\u003cp\u003eAssuming we know the n cash flows CF1, CF2,\u0026#8230; CFn that will be produced by the asset at times t1, t2,\u0026#8230; tn and the relevant discount rates for each r1, r2,\u0026#8230;rn, then the present value of the asset can be expressed as:\u003c/p\u003e\u003cp\u003e\u003cimg decoding=\u0022async\u0022 class=\u0022wp-image-16477 size-full aligncenter\u0022 src=\u0022https://www.5paisa.com/hindi/finschool/wp-content/uploads/2022/01/form-1-e1642096501247.png\u0022 alt=\u0022\u0022 width=\u0022433\u0022 height=\u002285\u0022 srcset=\u0022https://www.5paisa.com/hindi/finschool/wp-content/uploads/2022/01/form-1-e1642096501247.png 433w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/form-1-e1642096501247-300x59.png 300w\u0022 sizes=\u0022(max-width: 433px) 100vw, 433px\u0022 /\u003e\u003c/p\u003e\u003cp\u003e\u003cstrong\u003eLets take an Example on the application of DCF approach:\u003c/strong\u003e On 1 January 2022, an investor expects Britannia, to generate dividends of Rs.10. per share at the end of 2022, Rs.12 per share at the end of 2023, and Rs.15 per share at the end of 2024.\u003c/p\u003e\u003cp\u003eFurthermore, the investor estimates that the stock price of Britannia will trade at Rs.4000 per share at the end of 2024. Note that, under the DCF valuation approach, the expected price of Britannia stock at the end of 2024 (Rs4000per share) represents the present value of cash flows to investors expected to be generated by the company beyond 2024. The investor considers all risks and concludes that a discount rate of 14% is appropriate. In other words, the investor wants to earn at least an annual rate of return of 14% by investing in Britannia\u003c/p\u003e\u003cp\u003eThe estimated value of a Britannia share using the DCF valuation approach is equal to the present value of the cash flows the investor expects to receive from the equity investment.\u003c/p\u003e\u003cp\u003eThe investor computes the present value of the expected cash flows as follows:\u003c/p\u003e\u003cp\u003eValue = 10/(1.14)^1+ (12/1.14)^2+ 15/(1.14)^3+ 4000/(1.14)^3= Rs.2728\u003c/p\u003e\u003cp\u003eSo, the investor\u0026#8217;s estimated value of Britannia on a per share basis is Rs.2728. If shares of Volkswagen are priced at less than Rs.2728 on 1 January 2022, the investor may conclude that the stock is undervalued and decide to buy it. Alternatively, if the stock is priced at more than Rs. 2728, the investor may conclude that the stock is overvalued and decide not to buy.\u003c/p\u003e\u003cp\u003eThis is a simplified calculations since the assumptions were given. However, in real-world finance, it will be necessary to make a few assumptions about these cash flows and discount rates. And also answer an important question related to valuations\u003c/p\u003e\u003c/div\u003e\u003cdiv id=\u0027text_slider_slide03\u0027 class=\u0027sa_hover_container\u0027 data-hash=\u0027Question-Which-Cashflows-To-Use?\u0027 style=\u0027padding:4.9% 5%; margin:0px 0.1%; background-color:rgb(255, 255, 255); min-height:400px; \u0027\u003e\u003ch3 style=\u0022text-align: left\u0022\u003e\u003cstrong\u003e\u003cspan style=\u0022color: #f1566d\u0022\u003e7.3 Question- Which Cashflows To Use?\u003c/span\u003e\u003c/strong\u003e\u003c/h3\u003e\u003cp\u003e\u003ca href=\u0022https://www.5paisa.com/hindi/finschool/wp-content/uploads/2022/01/Investing-pana.svg\u0022\u003e\u003cimg loading=\u0022lazy\u0022 decoding=\u0022async\u0022 class=\u0022size-full wp-image-16603 aligncenter\u0022 role=\u0022img\u0022 src=\u0022https://www.5paisa.com/hindi/finschool/wp-content/uploads/2022/01/Investing-pana.svg\u0022 alt=\u0022\u0022 width=\u0022500\u0022 height=\u0022500\u0022 srcset=\u0022https://www.5paisa.com/hindi/finschool/wp-content/uploads/2022/01/Investing-pana.svg 150w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Investing-pana.svg 300w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Investing-pana.svg 1024w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Investing-pana.svg 1536w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Investing-pana.svg 2048w, https:/www.5paisa.com/finschool/wp-content/uploads/2022/01/Investing-pana.svg 500w\u0022 sizes=\u0022(max-width: 500px) 100vw, 500px\u0022 /\u003e\u003c/a\u003e\u003c/p\u003e\u003cp\u003e\u0026nbsp;\u003c/p\u003e\u003cp\u003eThe correct answers to the question of \u0026#8220;What cash flows and what rates?\u0026#8221; is, of course, \u0026#8220;All those that matter\u0026#8221; and \u0026#8220;At the rates that the market requires.\u0026#8221; This may be a uselessly vague response but it is, nonetheless, the correct one. The models presented below provide a conceptual framework for determining the fair price to pay for a stock, but they are only a starting point. The role of the financial analyst is to use his understanding of the specific details of the company to produce a valuation that incorporates judicious estimates of the magnitude and timing of all future cash flows, their probabilities, and the appropriate discount rates to apply to. Each company is unique, and what matters is that the valuation makes sense and provides insight, not that it adheres to some standardized model.\u003c/p\u003e\u003cp\u003e\u003cstrong\u003eDividend discount model (DDM):\u003c/strong\u003e The only cash flows that are actually received by the common shareholder are dividends. Therefore, the simplest answer to the question “What will I get for owning this stock?” is to compute all future dividend payments and then discount them to the present at the cost of equity.\u003c/p\u003e\u003cp\u003eThe cost of equity, KE, is equal to the sum of the risk-free rate of interest (rf ), which can be taken as the return on a riskless government bond of similar maturity, and the equity risk premium (Rm-Rf), which is the additional amount required by investors to compensate for the riskiness associated with an equity investment.\u003c/p\u003e\u003cp\u003eThe value of the firm under the Dividend Discount Model is then:\u003c/p\u003e\u003cp\u003e\u003cimg loading=\u0022lazy\u0022 decoding=\u0022async\u0022 class=\u0022size-full wp-image-16478 aligncenter\u0022 src=\u0022https://www.5paisa.com/hindi/finschool/wp-content/uploads/2022/01/form-2.jpg\u0022 alt=\u0022\u0022 width=\u0022300\u0022 height=\u002283\u0022 /\u003e\u003c/p\u003e\u003cp\u003eHere the CF = Dividends.\u003c/p\u003e\u003cp\u003eK= Cost of equity\u003c/p\u003e\u003cp\u003eAs you can see: there are two basic inputs to the model \u0026#8211; expected dividends and the cost on equity. To obtain the expected dividends, one has to make assumptions about expected future growth rates in earnings and payout ratios. The required rate of return on a stock is determined by its riskiness, measured differently in different models \u0026#8211; the market beta in the CAPM, and the factor betas in the arbitrage and multi-factor models. The model is flexible enough to allow for time-varying discount rates, where the time variation is caused by expected changes in interest rates or risk across time.\u003c/p\u003e\u003ch5\u003e\u003cspan style=\u0022color: #000080\u0022\u003e\u003cstrong\u003eFree Cashflows\u003c/strong\u003e\u003c/span\u003e\u003c/h5\u003e\u003cp\u003eThe obvious problem with the dividend discount model is that it will not work if the company does not pay a regular dividend. A growing company with an above-average ROE would be expected to retain its earnings and channel them back into the business where they can earn an attractive return and promote growth-this hardly makes the company worthless. However, since the common stock is a claim on the present and future benefits of the company, it should not matter whether profits are paid out as dividends or retained by the company-share ownership entitles the investor to their proportional share of those profits, wherever they are. An alternate approach is therefore to value a company based on how much money it generates, regardless of whether that money is returned to investors or reinvested in the business.\u003c/p\u003e\u003cp\u003e\u003cstrong\u003eA free cash flow valuation can be done in two ways: \u003c/strong\u003e\u003c/p\u003e\u003cul\u003e\u003cli\u003e\u003cp\u003e\u003cstrong\u003eValuing only the equity portion of the firm using the free cash flow to equity (FCFE), or \u003c/strong\u003e\u003c/p\u003e\u003c/li\u003e\u003cli\u003e\u003cp\u003e\u003cstrong\u003eValuing the entire firm using the free cash flow to the firm (FCFF).\u003c/strong\u003e\u003c/p\u003e\u003c/li\u003e\u003c/ul\u003e\u003cp\u003eBoth are measures of free cash flow (i.e., net income adjusted for mandatory expenses, depreciation, and amortization, working capital needs, etc.) with the difference that the free cash flow to equity includes only that free cash that is available for payment to equity holders as dividends, while free cash flow to the firm includes all cash available before payments on borrowed funds.\u003c/p\u003e\u003cp\u003e\u003cstrong\u003eFormula for:\u003c/strong\u003e\u003c/p\u003e\u003cp\u003e\u003cstrong\u003eFree Cashflow to Firm= \u003c/strong\u003e\u003cstrong\u003eCash flow from Operations \u0026#8211; Net Investment in Long Term Assets\u003c/strong\u003e\u003c/p\u003e\u003cp\u003e\u003cstrong\u003eFree Cashflow to Equity = Cashflow from Operations- Capital Expenditure+ Net Borrowing\u003c/strong\u003e\u003c/p\u003e\u003cp\u003eThe discounting rates applied to the two types of cash flows are different. For the free cash flow to equity, the relevant discount rate is the \u003cstrong\u003ecost of equity \u003c/strong\u003e(rCE), the same as was used in the Dividend Discount Model. In reality, the only difference between the models is that in the FCFE model, we are valuing the company based on the cash available to pay out as dividends while in the DDM the valuation is based on the cash actually paid as dividends.\u003c/p\u003e\u003cp\u003eIf the firm paid out all free cash flow as dividends, the Dividend discount model and free cashflow to the firm valuations would be the same. In the Free Cash Flow to the Firm model, the discounting rate must incorporate the different rates of return required on equity, debt, and preferred stock, in proportion to the weight of each in the firm\u0026#8217;s financing mix. This is precisely what the weighted average cost of capital (WACC) does.\u003c/p\u003e\u003cp\u003eThe two valuation models can be expressed by the following formulas:\u003c/p\u003e\u003cp\u003e\u003cimg loading=\u0022lazy\u0022 decoding=\u0022async\u0022 class=\u0022wp-image-16479 size-full aligncenter\u0022 src=\u0022https://www.5paisa.com/hindi/finschool/wp-content/uploads/2022/01/form-3-e1642096905945.png\u0022 alt=\u0022\u0022 width=\u0022276\u0022 height=\u0022129\u0022 /\u003e\u003c/p\u003e\u003cp\u003eIt is important to realize that the two models are valuing different things. The FCFE valuation gives the present value of that portion of the firm\u0026#8217;s earnings that is available to the common equity holders. The FCFF model values the entire company, including its debt and will therefore produce a higher value than valuation of only the equity.\u003c/p\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003cscript type=\u0027text/javascript\u0027\u003ejQuery(document).ready(function()  {jQuery(\u0027#text_slider\u0027).owlCarousel({items  :  1,smartSpeed  :  400,autoplay  :  false,autoplayHoverPause  :  false,smartSpeed  :  400,fluidSpeed  :  400,autoplaySpeed  :  400,navSpeed  :  400,dotsSpeed  :  400,dotsEach  :  1,loop  :  false,nav  :  true,navText  :  [\u0027Previous\u0027,\u0027Next\u0027],dots  :  true,responsiveRefreshRate  :  200,slideBy  :  1,mergeFit  :  true,autoHeight  :  true,mouseDrag  :  false,touchDrag  :  true});jQuery(\u0027#text_slider\u0027).css(\u0027visibility\u0027, \u0027visible\u0027);var  owl_goto  =  jQuery(\u0027#text_slider\u0027);jQuery(\u0027.text_slider_goto1\u0027).click(function(event){owl_goto.trigger(\u0027to.owl.carousel\u0027,  0);});jQuery(\u0027.text_slider_goto2\u0027).click(function(event){owl_goto.trigger(\u0027to.owl.carousel\u0027,  1);});jQuery(\u0027.text_slider_goto3\u0027).click(function(event){owl_goto.trigger(\u0027to.owl.carousel\u0027,  2);});var  resize_16476  =  jQuery(\u0027.owl-carousel\u0027);resize_16476.on(\u0027initialized.owl.carousel\u0027,  function(e)  {if  (typeof(Event)  === \u0027function\u0027)  {window.dispatchEvent(new  Event(\u0027resize\u0027));}  else  {var  evt  =  window.document.createEvent(\u0027UIEvents\u0027);evt.initUIEvent(\u0027resize\u0027,  true,  false,  window,  0);window.dispatchEvent(evt);}});});\u003c/script\u003e\u003c/p\u003e\u003c/div\u003e\u003cdiv id=\u0022videos-tab\u0022 class=\u0022clearfix eael-tab-content-item \u0022 data-title-link=\u0022videos-tab\u0022\u003e\u003cdiv class=\u0022yt_iframe\u0022\u003e\u003ciframe title=\u0022YouTube video player\u0022 src=\u0022https://www.youtube.com/embed/9gfBy-299Nc?rel=0\u0022 frameborder=\u00220\u0022 allowfullscreen=\u0022allowfullscreen\u0022\u003e\u003c/iframe\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/section\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/section\u003e\u003c/div\u003e","protected":false},"excerpt":{"rendered":"\u003cp\u003eStudy Slides Videos 7.1 Introduction One of the most important question to a common equity investor is: given what is known from the company’s financial disclosures, how much should he be willing to pay to participate in the revenues of the company as a shareholder? What is the “correct” price for a share of the … \u003ca title=\u0022Understanding Cash Flows\u0022 class=\u0022read-more\u0022 href=\u0022https://www.5paisa.com/hindi/finschool/course/fundamental-analysis-course/understanding-cash-flows/\u0022 aria-label=\u0022Read more about Understanding Cash Flows\u0022\u003eRead more\u003c/a\u003e\u003c/p\u003e","protected":false},"author":1,"featured_media":0,"parent":15096,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[],"class_list":["post-37574","markets","type-markets","status-publish","format-standard","hentry"],"acf":[],"_links":{"self":[{"href":"https://www.5paisa.com/finschool/wp-json/wp/v2/markets/37574","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https://www.5paisa.com/finschool/wp-json/wp/v2/markets"}],"about":[{"href":"https://www.5paisa.com/finschool/wp-json/wp/v2/types/markets"}],"author":[{"embeddable":true,"href":"https://www.5paisa.com/finschool/wp-json/wp/v2/users/1"}],"replies":[{"embeddable":true,"href":"https://www.5paisa.com/finschool/wp-json/wp/v2/comments?post=37574"}],"version-history":[{"count":6,"href":"https://www.5paisa.com/finschool/wp-json/wp/v2/markets/37574/revisions"}],"predecessor-version":[{"id":75188,"href":"https://www.5paisa.com/finschool/wp-json/wp/v2/markets/37574/revisions/75188"}],"up":[{"embeddable":true,"href":"https://www.5paisa.com/finschool/wp-json/wp/v2/markets/15096"}],"wp:attachment":[{"href":"https://www.5paisa.com/finschool/wp-json/wp/v2/media?parent=37574"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https://www.5paisa.com/finschool/wp-json/wp/v2/categories?post=37574"}],"curies":[{"name":"wp","href":"https://api.w.org/{rel}","templated":true}]}}