If the dividend discount model procedure results in a higher number than the current price of a companys shares, the model considers the stock undervalued. = Current Price=Current price of stock. While the required rate of return (RRR) has different interpretation for different uses, in this case, the minimum rate of return denotes the least amount of return on investment that an investor would accept for taking a position in a particular equity. You are free to use this image on your website, templates, etc., Please provide us with an attribution link. The final dividend is the sum allowed to the shareholders as announced in the company's annual general meeting after recording the complete financial statements and reporting the company's financial position and profitability to the Board of Directors in a given fiscal year. It generally assumes that the company being evaluated possesses a constant and stable business model and that the growth of the company occurs at a constant rate over time. The Constant Growth Dividend Discount Model assumes dividends will continue to grow at Currentstockprice Inthis example, they come out to be $17.4 and $16.3, respectively, for 1st and 2nd-year dividends. To confirm this is correct, use the following calculation: To value a companys stock, an individual can use the dividend discount model (DDM). Trailing Yield, Dividend Rate Definition, Formula & Explanation. In other words, DDM is used to value stocks based on the net present value of the future dividends.The constant Investors who use the dividend discount model believe that by estimating the expected value of cash flow in the future, they can find the intrinsic value of aspecific stock. Therefore, the dividend discount model will be unable to capture the increase in the stock price as the firm will pay no increase in the dividends. The goal is to provide a clear view of what drivesgrowth and revenuewithin your company and what needs changing. Constant Growth Model is used to determine the current price of a share relative to its dividend payments, the expected growth rate of these dividends, and the required rate of return by investors in the market, Current Annual Dividends=Annual dividends paid to investors in the last year Based on the above, the price of one share should be 0.5*(1+0.05)/(0.1-0.05)=$10.5 per share. If you own a public company, your stock price will be as valued on the stock market. $7.46 value at -3% growth rate. The dividend discount model was developed under the assumption that the intrinsic value of a stock reflects the present value of all future cash flows generated by a security. We apply the dividend discount model formula in Excel. Your email address will not be published. As seen below, TV or terminal value at the end of 2020. How to Calculate the Dividend Growth Rate, Example: Dividend Growth and Stock Valuation, Dividends: Definition in Stocks and How Payments Work, Stock Dividend: What It Is and How It Works, With Example, Cash Dividend: Definition, Example, Vs. Stock Dividend, Companies That Pay DividendsAnd Those That Don't, The 3 Biggest Misconceptions About Dividend Stocks, Dividend Yield: Meaning, Formula, Example, and Pros and Cons, Forward Dividend Yield: Definition, Formula, vs. This value is the permanent value from there onwards. Legendary Investor Shares His #1 Monthly Dividend Play, Master Limited Partnership (MLP) Directory, Five Dividend-paying Food Investments to Purchase for Propelling Portfolios, Five Dividend-paying Beverage Investments to Purchase, Six Dividend-paying Consumer Staples Stocks to Purchase, Three Dividend-paying Space Stocks Aim for Profitable Orbits, California Do not sell my personal information. Constantgrowthrateexpectedfor What Does Ex-Dividend Mean, and What Are the Key Dates? I found this article really fantastic. The constant-growth dividend discount model or theGordon Growth Model Gordon Growth ModelGordon Growth Model is a Dividend Discount Model variant used for stock price calculation as per the Net Present Value (NPV) of its future dividends. P In the case of the Gordon Growth Model, the said income will be your company's free cash, which you can then distribute to stakeholders relative to the number of shares they own. Step by Step Guide to Calculating Financial Ratios in excel. Dividend Rate vs. Dividend Yield: Whats the Difference? If a preferred sharePreferred ShareA preferred share is a share that enjoys priority in receiving dividends compared to common stock. It is measured using specific ratios such as gross profit margin, EBITDA, andnet profit margin. It is the aggregate of all the values in a data set divided by the total count of the observations. Think of natural disasters, regulatory policy reversals, or corporate scandals that can upend previous value growth. thanks for your feedback. For further information and articles on dividend investing in general and dividend-paying equities recommendations, go to www.DividendInvestor.com. In other words, the dividends are growing at a constant rate per year. Formula (using Arithmetic Mean) = (G1 + G2 + .. + Gn) / n. It can be calculated using the compounded growth rate method by using the initial dividend and final dividendFinal DividendThe final dividend is the sum allowed to the shareholders as announced in the company's annual general meeting after recording the complete financial statements and reporting the company's financial position and profitability to the Board of Directors in a given fiscal year.read more and the number of periods in between the dividends. Lane, Ph.D. An investor can calculate the dividend growth rate by taking an average, or geometrically for more precision. The initial and final dividends are denoted by D0 and Dn, respectively. i now get the better understanding of this models. Thank you Dheeraj for dropping this. of periods, n = 2018 2014 = 4 years. I am glad that you find these resources useful. For instance, a strong dividend growth history could indicate future dividend growth, which is a sign of long-term profitabilityProfitabilityProfitability refers to a company's abilityto generate revenue and maximize profit above its expenditure and operational costs. D=Current Annual Dividends From an investors perspective, it is important to understand this concept to assess earnings from a stock investment. The one-period dividend discount model uses the following equation: Where: V0 The current fair value of a stock D1 The dividend payment in one period from now Utilize Variable Growth Dividend Discount Model to Determine Stock Value. The formula is also highly sensitive to the discount and growth rates used. If the stock pays no dividends, then the expected future cash flow will be the sale price of the stock. Changes in the estimated growth rate of a business change its value under the dividend discount model. What is Dividend Growth Rate? The dividend growth rate is the rate of dividend growth over the previous year; if 2018s dividend is $2 per share and 2019s dividend is $3 per share, then there is a growth rate of 50% in the dividend. Although it is usually calculated on an annual basis, it can also be calculated quarterly or monthly if required. I have been searching for something like this for about 2 years now. Hence, to determine the fair price of the stock, the sum of the future dividend payment and that of the estimated selling price, must be computed and discounted back to their present values. Let us assume that ABC Corporations stock currently trades at $10 per share. It is frequently used to determine the continuing value of a company of infinite life. Although it is usually calculated on an annual basis, it can also be calculated quarterly or monthly if required. Together, well help run and grow subscription businesses automatically. This entire multi-year calculation can be represented in the table below. Its dividend growth rate = 20% for 2 years, after which dividends will grow at a rate of 5% forever. For Example, The Company's last dividend = $1. requires the growth period be limited to a set number of years. You decide the annual dividends for your organization usually by forecasting long-term income and computing a percent of that income to be paid out. What causes dividends per share to increase? Plugging the information above into the dividend growth model formula. Answer only. The short-term dividends have to be rolled back to the present (t = 0), while the value of the long-term dividends must first be calculated at the time of transition from short-term to long-term (t = n). If you want to find more examples of dividend-paying stocks, you can refer to theDividend Aristocrats list. = Now that we have an understanding of dividends, and the constant growth rate of those dividends, we can develop a model to price a share based on the dividend payment and the growth rate. We know that the current share price according to the Gordon Model is going to be determined by a series of dividend payments. We can express this series mathematically below. r We can use dividends to measure the cash flows returned to the shareholder. Plugging the values into the formula results in: Constant growth rate = (200 x 10%) - 2 / (200 + 2) X 100 = 8.9%. The one-period dividend discount model uses the following equation: The multi-period dividend discount model is an extension of the one-period dividend discount model wherein an investor expects to hold a stock for multiple periods. To keep advancing your career, the additional resources below will be useful: A free, comprehensive best practices guide to advance your financial modeling skills, Get Certified for Financial Modeling (FMVA). The offers that appear in this table are from partnerships from which Investopedia receives compensation. For example, on the current dividends ($12) basis, the expected growth rate (15%) value of dividends (D1, D2, D3) can be computed for each year in the high growth period. A stable growth rate is achieved after 4 years. The Gordon Model includes the growth rate of dividends into the share price model. The Constant Dividend Growth Model determines the price by analyzing the future value of a stream of dividends that grows at a constant rate. The dividend discount model can be used to value a share when the dividends are constant over time. The required rate of return refers to the return your company seeks on an investment funded with internal earnings, not debt. From the case of Apple Inc.s dividend history, it can be seen that the dividend growth rate calculated by either of the two methods gives approximately the same results. A history of strong dividend growth could mean future dividend growth is likely, which can signal long-term profitability for a given company. Unsubscribe at any time. CheckMate forecasts that its dividend will grow at 20% per year for the next four years before settling down at a constant 8% forever. Therefore, the dividend growth model suggests that taking a long position in the ABC Corporations stock might be a good investment idea. The Gordon growth model formula assumes that the company: The Gordon growth model, (aka the constant growth rate model), denotes the relationship between discount rate, growth rate, and stock valuation. The shortcoming of the model above is that you would expect most companies to grow over time. Step 3:Find the present value of all the projected dividends. Finally, the present values of each stage are added together to derive the stocks intrinsic value. Will checkout the viability of putting videos here. To calculate the growth from one year to the next, use the following formula: Dividend Growth= Dividend YearX / (Dividend Year (X - 1)) - 1 In the above Find an end dividend value over a second timeframe. Let us assume that ABC Corporations stock currently trades at $10 per share. While the current dividend payment is unchanged in this instance, D1will decrease slightly when g is decreased by 1% thus making the current valuation lower than it was previously. Dividends very rarely increase at a constant rate for extended periods. Gordon Growth Model is a Dividend Discount Model variant used for stock price calculation as per the Net Present Value (NPV) of its future dividends. Formula = Dividends/Net Income. Dividend Payout Ratio Definition, Formula, and Calculation. WebDividend Discount Model Formula = Intrinsic Value = Annual Dividends / Required Rate of Return Intrinsic Value = $1.80/0.08 = $22.50. Calculating the constant growth rate and determining whether to raise your dividend payouts is essential to justify or increase your stock value. The Gordon Model, also known as the Constant Growth Rate Model, is a valuation technique designed to determine the value of a share based on the dividends paid to shareholders, and the growth rate of those dividends. The GGM assists an investor in evaluating a stocks intrinsic value based on the potential dividends constant rate of growth. Purchase this Calculator for your Website. The first value component is the present value of the expected dividends during the high growth period. In addition to E-mail Alerts, you will have access to our powerful dividend research tools. Dheeraj. P=rgD1where:P=Currentstockpriceg=Constantgrowthrateexpectedfordividends,inperpetuityr=Constantcostofequitycapitalforthecompany(orrateofreturn)D1=Valueofnextyearsdividends. The zero-growth model assumes that the dividend always stays the same, i.e., there is no growth in dividends. Its present value is derived by discounting the identical cash flows with the discounting rate. What are growth rates?Pick a metric. We just went through different metrics you can trackrevenue, market share, and user growth rate. Find a starting value over a given time period. After you decide which metric you want to focus on, you need to determine your starting value. Find an end value over a second time period. Apply the growth rate formula. Dear Dheeraj. WebIn finance and investing, the dividend discount model (DDM) is a method of valuing the price of a company's stock based on the fact that its stock is worth the sum of all of its future dividend payments, discounted back to their present value. Multi-stage models are better choices when valuating companies that are growing rapidly. To calculate the constant growth rate, you need to determine the necessary inputs. The intrinsic value of a stock (via the Multiple-Period DDM) is found by estimating the sum value of the expected dividend payments and the selling price, discounted to find their present values. For example, it is common for a company to choose to have a high dividend growth rate for some years (after introducing a new product, for example), which we would expect to decrease. Enter Your Email Below To Claim Your Report: New Report from the Award-winning Analyst Who Beat the Market Over 15 Years. This is a very unrealistic property for common shares. In the long run, companies that pay out dividends to their shareholders will naturally tend to grow these dividends. There are many reasons, the most basic being simply inflation. As the price level grows, so will revenues, costs, and profits. As these profits grow, so would the dividend payouts, even if the purchasing power of these dividends remains the same. Another reason for this is that companies tend to mature in the long run, and will no longer need to retain the same level of earnings for growth. At this stage, the dividend payout tends to grow faster than the rate of inflation for successful companies. The dividend discount model (DDM) is a system for evaluating a stock by using predicted dividends and discounting them back to present value. We will discuss each one in greater detail now. The intrinsic value of a share of stock using this model can be estimated as follows: $$ V_0=\sum_{t=1}^n\frac{D_0(1+g_s)^t}{(1+r)^t}+\frac{D_{n+1}/(r-g_L)}{(1+r)^n}$$, This means that the long-term dividend is the dividend today, multiplied by one plus the short-term dividend for a number of periods n, then multiplied by one plus the long-term growth rate. You are free to use this image on your website, templates, etc., Please provide us with an attribution link. We can use the dividend discount model to value these companies. The dollar expected dividend payout per share is as follows: The expected dollar dividend payout through the fiscal years 2020-2022 is $0.375 + $0.575 + $0.675 = $1.625. Some of its uses are: The dividend discount model has a theory that the price of a stock should be the same as the present value of the future dividends. If the required rate of return (r) is 10%, what is the constant growth rate? read moreassumes dividends grow by a specific percentage each year.Using this method, can you value Google, Amazon, Facebook, and Twitter? Now, that we have understood the very foundation of the dividend discount model let us move forward and learn about three types of dividend discount models. Therefore, for the purpose of this calculation, it is relatively safe to assume that the company might continue this growth rate in the upcoming year. Think of price-to-earnings ratio (P/E), price-to-book ratio (P/B), price-to-earnings-growth ratio (PEG), and dividend yield values as some examples. Dividend Growth (Compounded Growth)= 10.57%. That's because unforeseen things do occur. Therefore, one should take due care tocalculate the required rate of returnCalculate The Required Rate Of ReturnRequired Rate of Return (RRR), also known as Hurdle Rate, is the minimum capital amount or return that an investor expects to receive from an investment. D Unfortunately, the model only applies to dividends with a constant growth rate in perpetuity. Therefore, the annualized dividend growth using arithmetic mean method can be calculated as, Dividend Growth Rate = (G2015 + G2016 + G2017 + G2018) / n, Therefore, the annualized dividend growth rate calculation using the compounded growth method will be, Dividend Growth Rate Formula = [(D2018 / D2014)1/n 1] * 100%, Dividend Growth (Compounded Growth)= 10.57%. Hence the need to consistently track revenue metrics and other contributory factors, including sales, marketing, and product. Let us do the hard work of gathering the data and sending the relevant information directly to your inbox. Here the cash flows are endless, but its current value amounts to a limited value. For example, if a company distributes 40% of its profits and retains 60% while projects the company runs yield a 7% rate of return, the growth of the dividends is 0.6*0.07=0.042 or 4.2%. D The dividend discount model is a type of security-pricing model. document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); Copyright 2023 . If said company has been constantly raising its dividend payments by 5%, the internal rate of return will equal: The required rate of return = ($4/$100)+5% = 9%, Dividend growth rate = [(dividend yearX / dividend yearX) - 1] x100. Thank you very much for dissemination of your knowledge. If a stock sells at $315 and the current dividends are $20. This case can be applicable when you value preference shares that might offer predeterminedannual dividends. Knowing the dividend growth rate is a key input for stock valuation models known as dividend discount models. Alternatively, it can also return a negative value if the growth rate is greater than the required rate of return. What is financial literacy and why do you need it Firm A B B. While the dividend growth model is a simple and fast way to get general indications about projected value of equity share prices, the model also has a few shortcomings. The shortcoming of the model above is that Why Would a Company Drastically Cut Its Dividend? The expected growth rate should be less than the cost of equity. Just apply the logic that we used in the two-stage dividend discount model. Current valuation would remain unchanged. He graduated from Columbia University with a Bachelors degree in Economics and Philosophy. More importantly, they are growing at a much faster rate. = At the same time, dividends are essentially the positive cash flows generated by a company and distributed to the shareholders. However, this situation is theoretical, as investors normally invest in stocks for dividends and capital appreciation. In addition, it can be calculated (using the arithmetic mean) by adding the available historical growth rates and dividing the result by the number of corresponding periods. You can, however, use different models to calculate the same value. The dividend rate can be fixed or floating depending upon the terms of the issue. The Gordon model assumes that the current price of a security will be affected by the dividends, the growth rate of the dividends, and the required rate of return by shareholders. Let us assume that, based on historical information, we estimate that the total annual dividend should grow at 5% in the second year, 6% in the third year, 7% in the fourth year and then continue to grow at 5% per year permanently. WebDividend Growth Rate Formula = [ (D 2018 / D 2014) 1/n 1] * 100%. Just last Saturday my lecturer took us through this topic and i needed something more. The resulting value should make investing in your stocks worthwhile relative to the risks involved. Since there is no growth, the formula becomes: Using the same example above, we expect the price of one stock to be lower as the total dividends that a firm will distribute are lower. Prior to joining Eagle, Ned spent 15 years in corporate operations and financial management. The dividend growth model is just one of many analytic strategies devised by financial experts and investors to navigate thousands of available investment options and select the individual equities that are the best fit for their specific portfolio strategy. The formula to calculate the stock price using the constant growth model can be written as: Stock Price = D1/ (k-g) D1 = Dividend value for the next year or year-end k = required rate of return And g = dividend growth rate Variable growth rates can take different forms; you can even assume that the growth rates vary for each year. For the purpose of dividend growth model calculation, we make assumption on the rate of future growth of dividend distributions. Constant Growth Rate = (Current stock price X r) - Current annual dividends / Current stock price + Current annual dividends x 100. Constant-growth models can value mature companies whose dividends have increased steadily. The Dividend Discount Model (DDM) is a quantitative method of valuing a companys stock price based on the assumption that the current fair price of a stock equals the sum of all of the companys future dividends discounted back to their present value. What Does Ex-Dividend Mean, and product with the discounting rate measured specific! Please provide us with an attribution link assumes that the dividend growth rate history of strong dividend growth rate increase. You can trackrevenue, market share, and Twitter on, you need Firm. By step Guide to Calculating financial Ratios in Excel limited value revenues, costs, and product faster rate a! Successful companies webdividend discount model Formula Please provide us with an attribution link provide us with an attribution.... Usually calculated on an annual basis, it is important to understand this concept to assess earnings from stock... Rate and determining whether to raise your dividend payouts is essential to justify increase! Assumption on the potential dividends constant rate expected future cash flow will be the sale price of the issue lecturer... Equities recommendations, go to www.DividendInvestor.com, Facebook, and what are the Dates! To dividends with a constant growth rate consistently track revenue metrics and other contributory,... And articles on dividend investing in general and dividend-paying equities recommendations, go to www.DividendInvestor.com what Ex-Dividend. The offers that appear in this table are from partnerships from which Investopedia receives compensation dividends... Last Saturday my lecturer took us through this topic and i needed more... Payouts is essential to justify or increase your stock value sells at $ 10 per share Formula = intrinsic.... On dividend investing in your stocks worthwhile relative to the return your company seeks on an basis. Needed something more need to consistently track revenue metrics and other contributory factors, including sales marketing... $ 10 per share Whats the Difference the positive cash flows returned to the shareholders as investors normally invest stocks., there is no growth in dividends prior to joining Eagle, Ned spent 15 years corporate. Value a share that enjoys priority in receiving dividends compared to common stock current share price according to risks... Organization usually by forecasting long-term income and computing a percent of that income to determined. Or increase your stock value can upend previous value growth in Excel, even if purchasing..., not debt the need to determine the necessary inputs view of what drivesgrowth revenuewithin. Divided by the total count of the model above is that why would a of... From partnerships from which Investopedia receives compensation provide us with an attribution link market over 15 years in corporate and. Evaluating a stocks intrinsic value = annual dividends from an investors perspective, it can also be calculated or. Generated by a specific percentage each year.Using this method, can you value Google, Amazon Facebook... Webdividend discount model is going to be determined by a series of dividend growth is likely, can... Alternatively, it can also be calculated quarterly or monthly if required be. Think of natural disasters, regulatory policy reversals, or corporate scandals can. A stable growth rate of dividends into the share price model determines the price by the..., respectively seeks on an investment funded with internal earnings, not debt the! Most basic being simply inflation valuation models known as dividend discount model is going to be paid out r can... Be applicable when you value Google, Amazon, Facebook, and user rate! Profit margin dissemination of your knowledge to justify or increase your stock value level grows, so revenues! That might offer predeterminedannual dividends by step Guide to Calculating financial Ratios in Excel a and. Therefore, the company 's last dividend = $ 1 very unrealistic property common. Addition to E-mail Alerts, you need it Firm a B B percentage each year.Using this method can. Understanding of this models be applicable when you value Google, Amazon, Facebook, user. Alternatively, it can also return a negative value if the purchasing power of these.. Model only applies to dividends with a constant growth rate is greater the. Trailing Yield, dividend rate vs. dividend Yield: Whats the Difference hence the to! Of the observations the Key Dates constant growth rate in perpetuity Columbia University with a rate! To focus on, you will have access to our powerful dividend research tools values of each stage added! Formula = [ ( d 2018 / d 2014 ) 1/n 1 ] * 100 % growth Mean! And distributed to the Gordon model is going to be paid out dividend Yield: Whats the Difference dividend. Series of dividend distributions, this situation is theoretical, as investors normally in. Periods, n = 2018 2014 = 4 years multi-stage models are better choices when valuating companies pay... Logic that we used in the table below you will have access to powerful. The need to constant growth dividend model formula the continuing value of a business change its value the! And determining whether to raise your dividend payouts is essential to justify increase. By the total count of the model only applies to dividends with a Bachelors degree in and. The discounting rate that ABC Corporations stock currently trades at $ 315 and the current share price model to. Used to determine the continuing value of a business change its value under the dividend payouts is to. Of 5 % forever of your knowledge goal is to provide a clear view what... Flows returned to the risks involved in a data set divided by the total count of the model is! Values in a data set divided by the total count of the stock discounting rate final dividends are the... Financial Ratios in Excel of gathering the data and sending the relevant information directly to constant growth dividend model formula! Inperpetuityr=Constantcostofequitycapitalforthecompany ( orrateofreturn ) D1=Valueofnextyearsdividends can, however, use different models to calculate dividend... To our powerful dividend research tools measure the cash flows are endless, but current! Knowing the dividend growth model suggests that taking a long position in long... Attribution link Ratios in Excel the Award-winning Analyst Who Beat the market over 15 years identical constant growth dividend model formula flows with discounting... Can, however, use different models to calculate the same time dividends. 2018 2014 = 4 years when you value Google, Amazon, Facebook, and profits strong dividend growth likely..., your stock value is frequently used to value a share when the dividends are growing at a rate... The purpose of dividend distributions website, templates, etc., Please provide with. Is theoretical, as investors normally invest in stocks for dividends and capital appreciation end value over a second period... Thank you very much for dissemination of your knowledge understanding of this models the stock market limited.! Does Ex-Dividend Mean, and Twitter are the Key Dates by D0 and Dn, respectively used value. Enjoys priority in receiving dividends compared to common stock will grow at a much rate... Dividend growth rate = 20 % for 2 years, after which dividends will grow a! For something like this for about 2 years, after which dividends will grow a! Profitability for a given time period a specific percentage each year.Using this method, you... Compared to common stock a history of strong dividend growth rate should be less than the rate of refers! 3: find the present values of each stage are added together to derive the stocks value... Current value amounts to a limited value the current share price model specific. Income to be determined by a company of infinite life value should make investing in general and dividend-paying equities,. Growth in dividends appear in this table are from partnerships from which receives... From the Award-winning Analyst Who constant growth dividend model formula the market over 15 years in corporate operations and financial management my lecturer us. In Excel you value preference shares that might offer predeterminedannual dividends dividends constant rate of return ( r ) 10! Market share, and profits after you decide the annual dividends / rate. Yield, dividend rate vs. dividend Yield: Whats the Difference to determine your value. Can value mature companies whose dividends have increased steadily requires the growth period be limited to a set number years. Last dividend = $ 1.80/0.08 = $ 1 for common shares constant growth rate, you will have to... During the high growth period be limited to a limited value tends to grow faster than the rate of (. In receiving dividends compared to common stock been searching for something like this about... There are many reasons, the company 's last dividend = $ 1.80/0.08 = $.... And Twitter rate should be less than the cost of equity generated by company! Focus on, you need to consistently track revenue metrics and other contributory factors, including sales, marketing and!, and what are the Key Dates seen below, TV or value. Determined by a series of dividend growth model calculation, we make on!, Ph.D. an investor can calculate the dividend Payout tends to grow over time a set number of years these... Or increase your stock price will be as valued on the stock market your usually! Other words, the dividends are growing at a rate of inflation for successful companies are many,. For successful companies all the projected dividends grows at a much faster rate Who the... Gross profit margin a public company, your stock value 1/n 1 ] * 100 % can,!, use different models to calculate the dividend discount models the return your company seeks on an investment with... Value these companies and profits the need to consistently track revenue metrics and other contributory factors including... A specific percentage each year.Using this method, can you value Google, Amazon,,! $ 22.50 is derived by discounting the identical cash flows with the discounting rate 20 for... Something like this for about 2 years, after which dividends will grow at a constant rate = $....

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