Thorough Description of Yield to Maturity?
"What is a bond price?  A bond is an asset, and like any tradeable asset it has a price.  If I hold $10K face value of a certain GM bond, then I would be willing to sell it at some price, which may be more or less than $10K.  Whoever is willing to sell it for the lowest amount determines the price.  The price is determined by the market, just as all prices are.  It's what you can sell a bond for.  Bond prices may be quoted in various funny ways, like as a discount or premium relative to the face value or as a premium over a treasury, but at the end it all should be converted to how much you have to pay today.  In this case, it's how much you would pay today to get a set of future coupon and principal payments. What is Yield to Maturity?  A bond is a contract entitling you to a certain set of predefined cash flows.  If you take that set of cash flows and discount them using a single rate at all maturities such that the discounted value is equal to the price, the single rate you have identified is the YTM.  Mathematically, this is the same as finding the IRR (internal rate of return) of some set of cash flows.  In this case the cash flows are the coupons and principal repayment.  Other bond concepts.  Note that the other aspects of a bond, like maturity, coupon rate, and face value, are immutably written into the bond contract.  All they do is define what payments the bond entitles the owner to.  They don't say how much someone would pay today in order to be entitled to those payments.  One can't know how much a future payment is worth without discounting.  If you know the appropriate discount rate at every relevant maturity, you could calculate the fair price of a bond.  That's the other direction.  YTM looks at the market price and associated cash flows and imputes what single discount rate would make that price fair. What is YTM good for? Recall what I said about IRR above.  Why would anyone want to know what discount rate equates the cash flows of a project to its cost?  Because it's an easy way to summarize how profitable the project is expected to be. YTM is a quick way to summarize the yield one would get on a bond if they were to buy it today and hold to maturity.  If one bond has a higher YTM than another, than heuristically we believe it pays out more and should be associated with greater risk if the market is working properly.  It can be used to compare bonds or to look at how changes in bond prices are affecting expected yields.  Ask yourself, how would you compare two different bonds with different maturities and coupon rates?  Which one is riskier or more profitable?  The simplest way to summarize this information is with the yield to maturity.  YTM is used frequently enough that when you just say a bond's ""yield,"" people will assume you are talking about its yield to maturity. What is YTM not good for?  One thing to be wary of is using YTM as a discount rate.  It looks like a discount rate but it works for that bond and that bond only.  In reality each individual coupon payment has a true discount rate, and the discount rate at each horizon is different from each other horizon.  Those are true discount rates that can be applied to any cash flow of similar risk to get the right price.  We can think of YTM as some kind of average of those discount rates that produces the correct price for that bond only.  You should never use it for discounting something else."
I didn't take too many finance or economics courses so i can't comment.   In my post I recommended the YouTube video or audiobook 'why an economy grows and why it doesn't'  I guess it's more economy related than finance related, but is still relevant as it touches on loans and net worth and stuff. The sum of the dividend yield plus capital growth is called total return. In your examples, you get to a total return of 7% through several different (and theoretically equivalent) paths. That is the right way of thinking. "i realize the required rate will need to be below the expected growth rate. not really the issue.   i'm also not looking for insight into how i model these two possible options, i'm really just interested in how people would think about producing a discount rate for the projects.  ""but you determine the required return(discount rate) based on the perceived risk of the investment and your particular views""   this was the ultimate question i was getting at. what would YOU use?" "The term you're looking for is yield (though it's defined the other way around from your ""payout efficiency"", as dividend / share price, which makes no substantive difference). You're simply saying that you want to buy high-yield shares, which is a common investment strategy. But you have to consider that often a high-yielding share has a reason for the high yield. You probably don't want to buy shares in a company whose current yield is 10% but will go into liquidation next year." With the disclaimer that I am not a technician, I'd answer yes, it does. SPY (for clarification, an ETF that reflects the S&P 500 index) has dividends, and earnings, therefore a P/E and dividend yield. It would follow that the tools technicians use, such as moving averages, support and resistance levels also apply.  Keep in mind, each and every year, one can take the S&P stocks and break them up, into quintiles or deciles based on return and show that not all stock move in unison. You can break up by industry as well which is what the SPDRs aim to do, and observe the movement of those sub-groups.  But, no, not all the stocks will perform the way the index is predicted to.  (Note - If a technician wishes to correct any key points here, you are welcome to add a note, hopefully, my answer was not biased) From the hover text of the said screen; Latest dividend/dividend yield Latest dividend is dividend per share paid to shareholders in the most   recent quarter. Dividend yield is the value of the latest dividend,   multiplied by the number of times dividends are typically paid per   year, divided by the stock price. So for Ambev looks like the dividend is inconsistantly paid and not paid every quarter. "The answer to almost all questions of this type is to draw a diagram.  This will show you in graphical fashion the timing of all payments out and payments received.  Then, if all these payments are brought to the same date and set equal to each other (using the desired rate of return), the equation to be solved is generated. In this case, taking the start of the bond's life as the point of reference, the various amounts are: Pay out = X Received = a series of 15 annual payments of $70, the first coming in 1 year.  This can be brought to the reference date using the formula for the present value of an ordinary annuity. PLUS Received = A single payment of $1000, made 15 years in the future.  This can be brought to the reference date using the simple interest formula. Set the pay-out equal to the present value of the payments received and solve for X I am unaware of the difference, if any, between ""current rate"" and ""rate to maturity"" Finding the rate for such a series of payments would start out the same as above, but solving the resulting equation for the interest rate would be a daunting task..." It's difficult when you read every few sentences and a new phrase pops out. I'm not procrastinating here, I feel getting an overview of it here while I can ask specific questions about terms I don't understand will help me more than just reading it on my own. At least that's what I've found. I'm not smart and I learn better this way. "The raw question is as follows:  ""You will be recommending a purposed portfolio to an investment committee (my class). The committee runs a foundation that has an asset base of $4,000,000. The foundations' dual mandates are to (a) preserve capital and (b) to fund $200,000 worth of scholarships. The foundation has a third objective, which is to grow its asset base over time.""   The rest of the assignment lays out the format and headings for the sections of the presentation.  Thanks, by the way - it's an 8 week accelerated course and I've been out sick for two weeks. I've been trying to teach myself this stuff, including the excel calculations for the past few weeks." "zPesk has a great answer about dividends generally, but to answer your question specifically about yield traps, here are a few things that I look for: As with everything, if it looks too good to be true, it probably is.  A 17% yield is pretty out of this world, even for a REIT.  And I wouldn't bet on it holding up.  Compare a company's yield to that of others in the same industry (different industries have different ""standards"" for what is considered a high or low yield) Dividends have to come from somewhere, and that somewhere is cash flow.  Look at the company's financial statements.  Do they have sufficient cash flow to pay the dividend?  Have there been any recent changes in their cash flow situation?  How are earnings holding up?  Debt levels? Cash on hand? Sudden moves in stock price.  A sudden drop in the stock price will cause the yield to rise.  Sometimes this indicates a bargain, but if the drop is due to a real worry about the company's financial health (see #2) it's probably an indication that a dividend cut is coming. What does their dividend history look like?  Do they have a consistent track record of paying out good dividends for years and years?  Companies with a track record of paying dividends consistently and/or increasing their dividend regularly are likely to continue to do so." "Ah ok, I can appreciate that. I'm fluent in English and Mr. Graham's command of English can be intimidating (even for me). The edition I have has commentary by Mr. Jason Zweig who effectively rewrites the chapters into simpler English and updates the data (some of the firms listed by Mr. Graham don't exist either due to bankruptcy or due to consolidation). But I digress.  Let's start with the topics you took; they're all very relevant, you'd be surprised, the firm I work for require marketing for certain functions. But not being good at Marketing doesn't block you from a career in Finance. Let's look at the other subjects.  You took high level Maths, as such I think a read through Harry Markowitz's ""Portfolio Selection"" would be beneficial, here's a link to the paper:  https://www.math.ust.hk/~maykwok/courses/ma362/07F/markowitz_JF.pdf  Investopedia also has a good summary:  http://www.investopedia.com/walkthrough/fund-guide/introduction/1/modern-portfolio-theory-mpt.aspx  This is Mr. Markowitz's seminal work; while it's logical to diversify your portfolio (remember the saying ""don't put all your eggs in one basket""), Mr. Markwotiz presented the relationship of return, risk and the effects of diversification via mathematical representation. The concepts presented in this paper are taught at every introductory Finance course at University. Again a run through the actual paper might be intimidating (Lord knows I never read the paper from start to finish, but rather read text books which explained the concepts instead), so if you can find another source which explains the concepts in a way you understand, go for it. I consider this paper to be a foundation for other papers.  Business economics is very important and while it may seem like it has a weak link to Finance at this stage; you have to grasp the concepts. Mr. Michael Porter's ""Five Forces"" is an excellent link between industry structure (introduced in Microeconomics) and profit potential (I work in Private Equity, and you'd be surprised how much I use this framework):  https://hbr.org/2008/01/the-five-competitive-forces-that-shape-strategy  There's another text I used in University which links the economic concept of utility and investment decision making; unfortunately I can't seem to remember the title. I'm asking my ex-classmates so if they respond I'll directly send you the author/title.  To finish I want to give you some advice; a lot of subjects are intimidating at first, and you might feel like you're not good enough but keep at it. You're not dumber than the next guy, but nothing will come for free. I wasn't good at accounting, I risked failing my first year of University because of it, I ended up passing that year with distinction because I focused (my second highest grade was Accounting). I wasn't good in economics in High School, but it was my best grades in University. I wasn't good in financial mathematics in University but I aced it in the CFA. English is your second language, but you have to remember a lot of your peers (regardless of their command of the language) are being introduced to the new concepts just as you are. Buckle down and you'll find that none of it is impossible." "I would let them get their hands dirty, learn by practicing. Below you can find a simple program to generate your own efficient frontier, just 29 lines' python. Depending on the age, adult could help in the activity but I would not make it too lecturing. With child-parent relationship, I would make it a challenge, no easy money anymore -- let-your-money work-for-you -attitude, create the efficient portfolio!  If there are many children, I would do a competition over years' time-span or make many small competitions. Winner is the one whose portfolio is closest to some efficient portfolio such as lowest-variance-portfolio, I have the code to calculate things like that but it is trivial so build on the code below. Because the efficient frontier is a good way to let participants to investigate different returns and risk between assets classes like stocks, bonds and money, I would make the thing more serious. The winner could get his/her designed portfolio (to keep it fair in your budget, you could limit choices to index funds starting with 1EUR investment or to ask bottle-price-participation-fee, bring me a bottle and you are in. No money issue.). Since they probably don't have much money, I would choose free software.  Have fun! Step-by-step instructions for your own Efficient Frontier Copy and run the Python script with $ python simple.py > .datSimple Plot the data with $ gnuplot -e ""set ylabel 'Return'; set xlabel 'Risk'; set terminal png; set output 'yourEffFrontier.png'; plot '.datSimple'"" or any spreadsheet program. Your first ""assets"" could well be low-risk candies and some easy-to-stale products like bananas -- but beware, notice the PS.  Simple Efficient-frontier generator P.s. do not stagnate with collectibles, such as candies and toys, and retailer products, such as mangos, because they are not really good ""investments"" per se, a bit more like speculation. The retailer gets a huge percentage, for further information consult Bogleheads.org like here about collectible items." The yield on Div Data is showing 20% ((3.77/Current Price)*100)) because that only accounts for last years dividend. If you look at the left column, the 52 week dividend yield is the same as google(1.6%). This is calculated taking an average of n number of years. The data is slightly off as one of those sites would have used an extra year. "You could use any of various financial APIs (e.g., Yahoo finance) to get prices of some reference stock and bond index funds.  That would be a reasonable approximation to market performance over a given time span. As for inflation data, just googling ""monthly inflation data"" gave me two pages with numbers that seem to agree and go back to 1914.  If you want to double-check their numbers you could go to the source at the BLS. As for whether any existing analysis exists, I'm not sure exactly what you mean.  I don't think you need to do much analysis to show that stock returns are different over different time periods." "Those are the ""right"" yields. They are historically (but not ""nonsensically"") low. Those yields are reflective of the sluggish U.S. and global economic activity of the past decade. If global growth were higher, the yields would be higher. The period most nearly comparable to the past 10 years in U.S. and world history was the depressed 1930s. (I am the author of this 2004 book that predicted a stock market crash (which occurred in 2008), and the modern 1930s, but I was wrong in my assumption that the modern 1930s would involve another depression rather than 'slow growth.')"