How to determine duration of a common stock whose dividends grow in perpetuity?
"The Dividend Discount Model is based on the concept that the present value of a stock is the sum of all future dividends, discounted back to the present. Since you said: dividends are expected to grow at a constant rate in perpetuity ... the Gordon Growth Model is a simple variant of the DDM, tailored for a firm in ""steady state"" mode, with dividends growing at a rate that can be sustained forever. Consider McCormick (MKC), who's last dividend was 31 cents, or $1.24 annualized. The dividend has been growing just a little over 7% annually. Let's use a discount, or hurdle rate of 10%. MKC closed today at $50.32, for what it's worth. The model is extremely sensitive to inputs. As g approaches r, the stock price rises to infinity. If g > r, stock goes negative. Be conservative with 'g' -- it must be sustainable forever.  The next step up in complexity is the two-stage DDM, where the company is expected to grow at a higher, unsustainable rate in the early years (stage 1), and then settling down to the terminal rate for stage 2. Stage 1 is the present value of dividends during the high growth period. Stage 2 is the Gordon Model, starting at the end of stage 1, and discounting back to the present. Consider Abbott Labs (ABT). The current annual dividend is $1.92, the current dividend growth rate is 12%, and let's say that continues for ten years (n), after which point the growth rate is 5% in perpetuity. Again, the discount rate is 10%. Stage 1 is calculated as follows: Stage 2 is GGM, using not today's dividend, but the 11th year's dividend, since stage 1 covered the first ten years. 'gn' is the terminal growth, 5% in our case. then... The value of the stock today is 21.22 + 51.50 = 72.72 ABT closed today at $56.72, for what it's worth." "The fact that dividends grow in perpetuity does not prevent one from calculating duration.  In fact, many academic papers look at exactly this problem, such as Lewin and Satchell.  This Wilmott thread discusses some of the pros and cons of the concept in some detail. PS: Although I was already broadly familiar with the literature and I use the duration of equities in some of my every-day work as a professional working in finance, I found the links above doing a simple google search for ""equity duration."""
"There are probably many correct answers to this question, but for most people, the main reason is qualified dividends. To be a qualified dividend (and therefore eligible for lower tax rates), the dividend-paying stock or fund must be held for ""more than 60 days during the 121-day period that begins 60 days before the ex-dividend date"". Since many stocks and funds pay out dividends at the end of the year, that means it takes until mid- to late February to determine if you held them, and therefore made the dividend qualified. Brokerages don't want to send out 1099s in January and then possibly have to send out revised versions if you decide to sell something that paid a dividend in December that otherwise would have been qualified." Let's take a step back. My fictional company 'A' is a solid, old, established company. It's in consumer staples, so people buy the products in good times and bad. It has a dividend of $1/yr. Only knowing this, you have to decide how much you would be willing to pay for one share.  You might decide that $20 is fair. Why? Because that's a 5% return on your money, 1/20 = 5%, and given the current rates, you're happy for a 5% dividend. But this company doesn't give out all its earnings as a dividend. It really earns $1.50, so the P/E you are willing to pay is 20/1.5 or 13.3.  Many companies offer no dividend, but of course they still might have earnings, and the P/E is one metric that used to judge whether one wishes to buy a stock.  A high P/E implies the buyers think the stock will have future growth, and they are wiling to pay more today to hold it. A low P/E might be a sign the company is solid, but not growing, if such a thing is possible. At 19 years old you can and should be investing to see your money grow over the years. Reinvesting the dividends does get to be pretty significant because they compound over many years. Historically this dividend compounding accounts for about half of the total gains from stocks. At 70 years old I am not investing to see my money grow, although that's nice. I am investing to eat. I live on the dividends, and they tend to come in fairly reliably even as the market bounces up and down. For stocks selected with this in mind I get about 4% per year from the dividends. There is no right and wrong answer to this question. What you and your business partner perceive as Fair is the best way to split the ownership of the new venture.  First, regarding the two issues you have raised: Capital Contributions: The fact that you are contributing 90% of initial capital does not necessarily translate to 90% of equity. In my opinion, what is fair is that you transform your contributions into a loan for the company. The securitization of your contribution into a loan will make it easier to calculate your fair contribution and also compensate you for your risk by choosing whatever combination of interest income and equity you see suitable. For example, you might decide to split the company in half and consider your contributions a loan with 20%, 50% or 200%  annual interest.  Salary: It is common that co-founders of start-ups forgo their wages at the start of the company. I do not recommend that this forgone salary be compensated through equity because it is impossible to determine the suitable amount of equity to be paid. I suggest the translation of forgone wages into loans or preferred stocks in similar fashion to capital contribution Also, consider the following in deciding the best way to allocate equity between both of you and your partner Whose idea was it? Talk with you business partner how both of you value the inventor of the concept. In general, execution is more important but talking about how you both feel about it is good. Full-time vs. part-time: A person who works full time at the new venture should have more equity than the partner who is only a part-time helper. Control: It is important to talk about control and decision making of the company. You can separate the control and decision making of important decisions from ownership. You can also check the following article about this topic at http://www.forbes.com/sites/dailymuse/2012/04/05/what-every-founder-needs-to-know-about-equity/#726842f3668a A share is more than something that yields dividends, it is part ownership of the company and all of its assets. If the company were to be liquidated immediately the shareholders would get (a proportion of) the net value (assets - liabilities) of the company because they own it. If a firm is doing well then its assets are increasing (i.e. more cash assets from profits) therefore the value of the underlying company has risen and the intrinsic value of the shares has also increased. The price will not reflect the current value of the firms assets and liabilities because it will also include the net present value of expected future flows. Working out the expected future flows is a science on par with palmistry and reading chicken entrails so don't expect to work out why a company is trading at a price so much higher than current assets - liabilities (or so much lower in companies that are expected to fail). This speculation is in addition to price speculation that you mention in the question. Simple math. Take the sale proceeds (after trade expenses) and divide by cost. Subtract 1, and this is your return. For example, buy at 80, sell at 100, 100/80 = 1.25, your return is 25%. To annualize this return, multiply by 365 over the days you were in that stock. If the above stock were held for 3 months, you would have an annualized return of 100%.  There's an alternative way to annualize, in the same example above take the days invested and dive into 365, here you get 4. I suggested that 25% x 4 = 100%. Others will ask why I don't say 1.25^4 = 2.44 so the return is 144%/yr. (in other words, compound the return, 1.25x1.25x...) A single day trade, noon to noon the next day returning just 1%, would multiply to 365% over a year, ignoring the fact there are about 250 trading days. But 1.01^365 is 37.78 or a 3678% return. For long periods, the compounding makes sense of course, the 8%/yr I hope to see should double my money in 9 years, not 12, but taking the short term trades and compounding creates odd results of little value. When you sell the stock your income is from the difference of prices between when you bought the stock and when you sold it. There's no interest there. The interest is in two places: the underlying company assets (which you own, whether you want it or not), and in the distribution of the income to the owners (the dividends). You can calculate which portion of the interest income constitutes your dividend by allocating the portions of your dividend in the proportions of the company income. That would (very roughly and unreliably, of course) give you an estimate what portion of your dividend income derives from the interest. Underlying assets include all the profits of the company that haven't been distributed through dividends, but rather reinvested back into the business. These may or may not be reflected in the market price of the company. Bottom line is that there's no direct correlation between the income from the sale of the stake of ownership and the company income from interest, if any correlation at all exists. Why would you care about interest income of Salesforce? Its not a bank or a lender, they may have some interest income, but that's definitely not the main income source of the company. If you want to know how much interest income exactly the company had, you'll have to dig deep inside the quarterly and annual reports, and even then I'm not sure if you'll find it as a separate item for a company that's not in the lending business. I second @DumbCoder, every company seems to have its own way of displaying the next dividend date and the actual dividend. I keep track of this information and try my best to make it available for free through my little iphone web app here http://divies.nazabe.com