Money Tutorials at thismatter.com: Fundamental Tutorials on Personal Finance, Investments, and Economics
In-depth, continually updated articles on the fundamentals of personal finance, investments and economics — supplemented with illustrations, charts, and examples, and formatted for quick comprehension.
Find more specific information fast by using the search engine at the top-left of every page (or near the bottom when viewing on a mobile, tablet, or other small-screen device). This page links to the table of contents to individual subjects that have many more topics than are listed here.
The lack of money is the root of all evil— Mark Twain
Credit and Debt
- Income Taxes
- Personal Tax Deductions
- Tax Credits
- Educational Tax Benefits
- Retirement Plans
- Taxation of Investments
- Business Taxes
- Gratuitous Transfer Taxes
Wills, Estates, and Trusts
If you can count your money, you don't have a billion dollars.— J. Paul Getty
Money can't buy happiness, but it can buy you the kind of misery you prefer.— Unknown Author
Pedagogical Features and Sample Content of thismatter.com
My name is William C. Spaulding, and I write all of the articles, and do most of the illustrations for this site. The only illustrations that I have not done are graphs and photos downloaded from government websites. I present this section to illustrate the major features of the site, including types of content and other features, such as navigational aids. It also gives you a good sample of my content and my writing. But do keep in mind that these excerpts do not have the context here that they would in their original pages.
The purpose of this site is to teach the fundamental concepts of economics, personal finance, and investments. These topics were chosen because they are highly interrelated, so the concepts learned in economics, for instance, can be applied to personal finance and investments. Indeed, economics makes it much easier to learn about why things are the way they are and how they behave over time. Learning these subjects also helps to improve your life.
To facilitate learning these concepts, I use numerous pedagogical features that will enhance learning, which are listed below this section. There are over 850 articles on this site, grouped under the appropriate categories, which, on a desktop, you can see in the sidebar on the left, or, on a smaller screen, such as a phone, at the bottom of any article. Clicking on these links will display the list of topics in that category. I have included many of the pedagogical features on this page. Although some of them are lengthy, it does give you a good preview of what my site has to offer.
Graphs and Illustrations
As they say, a picture is worth a thousand words, so where images make concepts clearer, I use them. Most of the images also have extensive captions to clarify and expand the information conveyed by the image. Here are 2 examples:
From the Deadweight Loss of Taxation:
From Duration and Convexity, with Illustrations and Formulas
Many of the images use a format called scalable vector graphics, or SVG, which are defined mathematically, so they are usually much smaller than raster graphics such as PNG, GIF, or JPEG images. Since they are constructed mathematically, they can be adjusted to any size without losing any resolution, from phones to high resolution monitors. Moreover, they look a lot better than the rasterized equivalent. The 2 images above are both SVG images. However, SVG is only suitable for simple graphics and illustrations, such as diagrams. More complex images, such as photographs, uses the JPEG format.
For more complex examples, I use color coding to show the interrelationship of different parts, making it easier to follow and faster to comprehend.
From Child Tax Credit:
Example: Calculating the Child Tax Credit for Incomes Above the Phaseout Amount
Ava is a single parent with 2 dependent children and she earned $90,020 for the tax year. Because her income is $15,050 more than the phaseout amount of $75,000 for a head of household, she must reduce the $2,000 child tax credit that she would otherwise be entitled to by:
$90,020 – $75,000 = $15,020, which is rounded up to $16,000, since the $20 portion is a fraction of $1,000.
$16,000/$1,000 = 16
16 × $50 = $800
Child tax credit = 2 × $1,000 – $800 = $1,200.
Note that although she only earned $20 more than $90,000, she must round her income up to $91,000, which is why the $50 is multiplied by 16 rather than 15.
Here's another example from Bond Pricing and Accrued Interest, Illustrated with Examples, where color coding facilitates following the example and also illustrates how to use certain tools, such as Microsoft Excel, in doing some of the examples:
Examples—Using Microsoft Office Excel for Calculating Bond Prices and Discounts
The following listed variables — where they apply — will be used for each of the example calculations that follow, for a 10-year bond originally issued in 1/1/2008 with a par value of $1,000:
- Settlement date = 3/31/2008
- Maturity date = 12/31/2017
- Issue date = 1/1/2008
- Coupon rate = 6%
- Yield to maturity = 8%
- Price (per $100 of face value) = 21.99
- Redemption = 100
- Frequency = 2 for most coupon bonds.
- Basis = 1 (actual/actual)
Price of a bond with a yield to maturity of 8%:
Bond Price =PRICE("3/31/2008","12/31/2017",0.06,0.08,100,2,1) = 86.62092 = $866.21
The discount price of a zero coupon bond with a $1,000 par value yielding 8%:
Price Discount =PRICEDISC("3/31/2008","12/31/2017",0.06,0.08,100,1) = 21.99288 = $219.93
The interest rate of a discounted zero coupon bond paying $1,000 at maturity, but that is now selling for $219.90:
Interest Rate of Bond Discount = DISC("3/31/2008","12/31/2017",21.99,100,1) = 0.080003 = 8%
- Note that the PRICEDISC function value has been rounded, with the results used in the DISC function to verify the results. (21.99 = $219.90 for a bond with a $1,000 par value).
PRICEMAT calculates the prices of securities that only pay interest at maturity:
What is the price of a negotiable, 90-day CD originally issued for $100,000 on 3/1/2008 with a nominal yield of 8%, a current yield of 6% and a settlement date of 4/1/2008? Using the Microsoft Excel Date function, with format DATE(year,month,day), to calculate the maturity date by adding 90 days to the issue date, and choosing the banker's year of 360 days by omitting its value from the formula, yields the following results:
- Market Price of CD
- = PRICEMAT("4/1/2008",DATE(2008,3,1) + 90,"3/1/2008",0.08,0.06)
- = 100.3181 (per $100 of face value) × 1,000 = $100,318.10
Other Special Types of Content
I use real-world examples to illustrate how the concepts are applied to the real world, to increase understanding both of the material and of the real world, such as this example from Will Execution: The Common Law Elements of the Wills Act Formalities
Real Word Examples: Testamentary Intent Clauses of Famous Wills
- Last Will and Testament of Elvis A. Presley
- "I, Elvis A. Presley, a resident and citizen of Shelby County, Tennessee, being of sound mind and disposing memory, do hereby make, publish and declare this instrument to be my last will and testament, hereby revoking any and all wills and codicils by me at any time heretofore made."
- Last Will and Testament of Leona M. Helmsley
- "I, LEONA M. HELMSLEY, a resident of the State, City and County of New York, declare this to be my Last Will and Testament."
I also include alerts about special situations that readers should be particurally aware, such as this one about credit ratings on bonds from credit rating agencies, from the Complete Introduction to Bonds:
Investor Alert! Note that credit ratings are not foolproof. Enron had an investment-grade rating right up until it declared bankruptcy, and WorldCom up to 3 months before filing for bankruptcy! It's also a good idea to check all the credit-rating agencies about a particular issuer, because different agencies have different criteria, and different strengths and weaknesses in rating bond issuers.
Many articles also have Notes and History, to point out certain facts or to illustrate how things were or came to be, such as these 2 examples from Credit Scores:
Sometimes payments are not made because they are disputed. If the dispute is not resolved, then you have a right to add a statement in your credit report, limited to 100 words, explaining why you refuse to pay. Note, however, that your statement will not protect your credit score, since explanations cannot be quantified, so the credit-scoring algorithm cannot take your statement into account. It will, however, take in account that you have missed a payment.
Fannie Mae Starts to Use Trended Credit Data to Underwrite Consumers
In mid-2016, Fannie Mae started using trended credit data from all 3 credit reporting agencies — Equifax, Experian, and TransUnion — for all mortgage applications. The trended credit data focuses on credit data from the past 30 months, showing not only if payments were made on time, but whether the borrowers carried balances from month-to-month, paid off the balances in full, or at least paid more than the minimum. Studies by TransUnion have shown that consumers who carry balances or who only pay the minimum balance are a greater risk than those who pay in full. TransUnion estimates that trended credit data will put more consumers, from 12% to more than 21%, in the so-called Super Prime risk tier, who are offered the best credit terms.
Or this one from United States Treasury Securities: Bills, Notes, Bonds, Treasury-Inflation Protected Securities (TIPS), and STRIPS:
Quick Facts on the National Debt
The US debt is financed mostly by selling U.S. Treasury securities. The United States has carried debt since the American Revolution. Only during the presidency of Andrew Jackson has the United States been truly debt-free. As of the end of March 2016, the US debt slightly exceeded $13.4 trillion. You often see in publications that the debt exceeded $19 trillion, but more than $5 trillion of that debt is what the government owes to other government agencies, such as the Social Security trust fund.
- The annual deficit is the amount the government takes in taxes minus the amount it spends during the year.
- A budget surplus occurs when tax collections exceed expenditures for the year. The only budget surplus that has occurred in recent times was during the presidency of Bill Clinton, when the government started to tax the rich more. Since then, beginning with the Bush presidency, taxes on the wealthy have been greatly reduced, resulting in annual deficits that have greatly increased, exacerbated by the Iraqi and Afghanistan wars and by the credit crisis of 2007 to 2009.
- The debt limit is the amount that the Treasury could borrow without asking Congress. Before 1917, the Treasury had to ask Congress every time it wanted to increase the debt. Since then, the Treasury must ask Congress to authorize more debt only if the debt is expected to exceed the debt ceiling.
- An annual deficit increases the national debt while a budget surplus decreases it.
- To see the absolute latest statistics, and to see how quickly the US debt is growing, check out U.S. National Debt Clock : Real Time. In March, 2018, the US passed the $21 trillion mark, and will continue to grow even more rapidly because of the tax cuts passed by Donald Trump and the Republican Congress at the end of 2017.
Source: National Debt
While this site focuses on how things work, it also has many tips for using the information in real life, such as the following, from Credit Scores:
Additional Tips and Resources for Improving Your Credit Score
- Get a free credit report at AnnualCreditReport.com every 4 months by requesting a report from only 1 credit reporting agency at a time—a good, free way to monitor your credit report.
- Some credit cards offer free credit scores that are updated at least monthly. For instance, Discover Card provides a free FICO score based on your credit information held by TransUnion. Even if the credit card does not provide a FICO score, any score can be used to monitor changes in your credit information by checking for monthly changes in your score. Credit scores often change by 10 to 20 points during the month, but if you notice larger changes in your score during a time when there was no significant credit event, you may want to check the credit report from the agency on which the score is based for errors or for possible identity theft.
- As of November, 2015, you can upload supporting documents, such as paid bills or canceled checks, to support your credit dispute. Source: Fixing Credit Report Errors Online Gets Added Heft - The New York Times
- File a credit reporting complaint with the Consumer Financial Protection Bureau.
- Sample Letter for Disputing Errors on Your Credit Report with Information Providers. See also Disputing Errors on Credit Reports by the FTC.
- If you want to send a letter to the CRAs that may lead to legal action, then send it as certified mail with return receipt.
I also provide a little bit of humor, such as:
I'm living so far beyond my income that we may almost be said to be living apart.— e.e. cummings
And I include news items:
March 9, 2015 update: The credit bureaus use automated dispute resolution processes to correct errors reported by consumers, which is why mistakes in their credit reports frequently go uncorrected. In their settlement with the New York Attorney General's office, with changes being phased in over the next 3 years, the 3 credit bureaus will provide specially trained employees to resolve disputes. Additionally, the credit bureaus will establish a 6-month waiting period before listing medical debt, and any such debt that was reported, but subsequently paid by insurance, will be removed. - TransUnion, Equifax and Experian Agree to Overhaul Credit Reporting Practices - NYTimes.com
Believe it or not, I also have opinions, such as this one from Payment Systems:
Bitcoins and Cryptocurrencies Will Never Be Major Currencies
Another form of payment receiving media attention recently is through the use of bitcoins or other cryptocurrencies. Some of the main advantages advanced for bitcoin are that:
- the supply is strictly limited and not controlled by the government
- bitcoins can be subdivided into smaller payments, allowing for micro-payments, and
- the cost of transactions is extremely low
However, some of these advantages touted for bitcoin result because it is an entirely electronic form of money. If the United States dollar or the euro was made entirely electronic, then those currencies can be subdivided indefinitely to allow for micro-payments. Most fiat currencies have a lower limit for value because they are represented by coins and paper currency, which cost money to produce. Indeed, the US penny and nickel cost more to produce than their represented value. On the other hand, the value of electronic money can be reduced, virtually without limit, to form smaller payments.
That transaction costs for bitcoins are usually lower than using other electronic payment systems, such as credit cards or debit cards, is also artificial, since transaction costs are generally set by banks and other payment service providers, such as MasterCard and Visa, who are reluctant to lower prices that constitute a major source of profit. The transaction costs for current methods of payment could be much lower, but the lack of competition and government control has kept these transaction costs higher. When money becomes entirely electronic and the government institutes reforms to take advantage of electronic payments — which I believe is inevitable — then all the advantages of electronic payment, such as enabling micro-payments and lowering the cost of transactions, will become available to that currency.
That the supply of bitcoin is limited is actually a major disadvantage, since the value of bitcoin varies widely over short spans of time because supply cannot be increased or decreased to meet changing demand. The problem with bitcoin and other cryptocurrencies, or for that matter, any other means of payment, such as gold, where the supply cannot be controlled, is that it cannot satisfy the the primary functions of money, as a unit of exchange, as a unit of account and as a store of value.
Although cryptocurrencies can be used as a unit of exchange, it is very risky to do so. Imagine if Walmart or Amazon.com accepted Bitcoin for payment. What would happen to these companies — or any other company — if the value of Bitcoin suddenly dropped to half its value or more, as it has already done? In December, 2017, the price of 1 Bitcoin reached almost $20,000. Shortly afterwards, near the start of 2018, the price of Bitcoin was less than $9,000 (USD)! The pay rate for employees would have to change every single week and prices paid to suppliers, likewise. This would be a managerial nightmare!
It cannot serve as a unit of account, because the variation in its value, even within a short time, makes its exchange value for goods and services unpredictable; price comparisons would be impossible because these cryptocurrencies vary in value by the minute, so any prices that you would see may be stale prices, reflecting the value that Bitcoin had at an earlier time. Likewise, it cannot serve as a store of value, since it can lose value very quickly, as has already occurred several times with bitcoin and many times with gold. Additionally, using methods common in business and investments, such as calculating present value or future value of projects or investments or even calculating many forms of financial risk, becomes almost impossible. Calculating present value or future value is only meaningful if the value of the currency is stable. Even though most currencies decrease in value because of inflation, inflation is usually low and predictable, so it is easier to account for inflation.
Hence, in my opinion, bitcoin or any other types of money where the supply cannot be controlled will never serve as a major currency, or even as a co-currency. Instead, bitcoin will remain as it is, a novelty currency that can be used as a medium of exchange for those businesses or individuals who are willing to assume the risk of a widely fluctuating currency, or to profit from speculation, where profits are contingent on the greater fool theory. Because the intrinsic value of Bitcoin and other cryptocurrencies is 0, that is the price that I believe it will fall to, eventually, although it may take many years, possibly until 2025 and beyond.
(I think another factor propping up the prices of cryptocurrencies far beyond their intrinsic value is micro-demand. Because cryptocurrencies can be subdivided into ever smaller amounts, I believe many people are getting these small amounts to experiment with these novel currencies. When the demand for these micro-amounts are totaled over the entire global population, the result is significant demand. Eventually, people will realize that cryptocurrencies really offer no added value over traditional forms of electronic payments, nor are they spendable at most places, so, it is still my prediction that the value of all cryptocurrencies will drop to their intrinsic value of 0. Blockchain, of course, has great promise, but this is used only to record transactions. Although Bitcoin and other cryptocurrencies depend on blockchain, blockchain does not depend on the cryptocurrencies.)
Or how about this, from Quantitative Easing:
The Best Monetary Policy to Stimulate the Economy is a Fiscal Policy: Lower or Eliminate Taxes on the Poor
To stimulate the economy, money must have velocity: people must spend it repeatedly. If money is just hoarded, then it will have no impact on the economy, regardless of its quantity. The best way to increase the velocity of money is to use it to offset taxes on the poor, who are hurt most by recessions and depressions, and who will quickly spend the money. As it is done now, QE merely makes the rich richer, who are far less apt to spend it. Lowering interest rates, even if it worked, would merely serve to increase the debt load of the public, which would eventually result in less spending, since the debt will have to be repaid. This is why QE is not effective either in the United States or in Europe. On the other hand, lowering taxes on the poor will increase their spending, which will increase business, which will increase money flowing to the middle class, who, in turn, will increase their own spending, and eventually, even the wealthy will benefit. Lowering taxes on the poor will benefit everyone! That is the way the economy works! Additional benefits to lowering or eliminating taxes on the poor include:
- import prices remain steady
- currency wars are avoided
Of course, central banks use quantitative easing because that is a monetary policy tool that they can implement. Because lowering taxes on the poor is a fiscal policy, only Congress can change it, and since Congress is beholden to special interests, especially the rich, that is unlikely to happen soon. Working income, what the tax code refers to as earned income, has always been the most highly taxed form of income — at least in recent decades — and is an effective means of keeping a higher tax burden on working people rather than on the wealthy, who receive much of their income from investments and inheritance. Nonetheless, as already argued, lower taxes on the poor and the middle class will benefit everyone, including the wealthy, and is the best method of stimulating the economy.
Helicopter Money for the Poor
Helicopter money, a term coined by Milton Friedman in his 1969 book, The Optimal Quantity of Money, is a distribution of money by throwing it out of a helicopter, where the people below will grab it and spend it. Friedman envisioned that helicopter money would increase inflation, but would not increase real economic output. Ben Bernanke, a former Federal Reserve Chairman, argued that helicopter money might be a better solution than lowering interest rates to stimulate the economy in a deflationary environment, especially when there is a large economic output gap. The resulting increased spending will simply narrow or close the output gap rather than causing inflation.
In my opinion, helicopter money would be much more effective as an economic stimulus in a deflationary environment if it were distributed only over slums, because as I have argued above, giving more money to the poor would directly stimulate the economy. Indeed, there is no need to print any more money: taxing the rich more and the poor less would stimulate the economy, without causing hyperinflation. The rich would still benefit, because the money would eventually return to them, through their businesses and investments, and the government would collect more tax revenue from the growing economy and the higher velocity of money. Hence, everyone benefits! I should even call this the Utilitarian Tax Policy, since it is the best tax policy that I think will maximize the happiness of everyone, the primary goal of Utilitarianism.
And since the Republicans have recently enacted a generous tax package for the wealthy, I thought I would illustrate 1 of my opinion pieces with this item from my article on the Child Tax Credit:
A Tale of 2 Government Handouts
Some people consider the child tax credit to be a government handout, as evinced by the fact that the Additional Child Tax Credit has an explicit work requirement. I do not know if the Republicans have a unified view of the child tax credit, but since they oppose abortion, they should, at least, help people to afford those children. However, governments — federal, state, and local — put most of the tax burden on working people. Indeed, the Republicans do not want to tax investment income or gratuitous transfers at all! So that leaves taxing only work. They want working people to pay all the income taxes, so it is natural that they should espouse hard work, since somebody must pay for government. The Republicans just don't want it to be the rich. The tax burden on work is one reason why inequality is increasing, and why it is so difficult to move up in society by simply working for it.
In this light, it is interesting to compare the child tax credit with another very generous tax credit that benefits the wealthy: the unified tax credit, used to eliminate the estate tax on more than $5 million of gratuitous transfers, i.e., gifts and bequests.
The child tax credit:
- is not adjusted for inflation;
- has an income limit;
- has a work requirement; and
- the maximum credit is $1000 per child, although the full credit may only be claimed if there is sufficient earnings from work.
By contrast, the unified tax credit:
- is adjusted for inflation;
- has no income limit;
- has no work requirement; and
- the maximum credit in 2016 is worth $2,125,800 that can be used to offset $5,450,000 of gratuitous transfers from each individual, so parents can give $10,900,000 of their wealth to their children tax-free, and that's not even considering the many tax loopholes that allow even more wealth to be transferred tax-free.
The unified tax credit is very generous, indeed. For instance, the 2016 unified tax credit is worth more than most people are ever going to earn (adjusting for inflation) in their entire lives. A person who works for 40 years, averaging $50,000 a year, will only earn $2 million over his working lifetime, and would pay an enormous amount of taxes on that income over those years. On the other hand, a child receiving $10.9 million from his parents does not have to pay any federal tax at all on that income — and no! — he doesn't have to work for it.
Remember, too, that it seems that the tax code for the child tax credit has been carefully crafted to minimize any actual refund to low income taxpayers, by only allowing the credit to offset payroll taxes, so that the government's net credit to the taxpayer does not exceed what it has collected through payroll taxes. The Additional Child Tax Credit increases by 15% for each dollar over the $3000 minimum, which closely tracks the total payroll liability for an individual taxpayer. Of course, if the taxpayer also qualifies for the earned income credit or the premium tax credit or even the American Opportunity Credit, then the taxpayer's refund from these truly refundable credits will be increased by the child tax credit. Although this is a rather complicated explanation, it does explain why the calculation for the child tax credit is so complicated, and why the child tax credit is not simply a $1000 refundable credit per child. Moreover, not everyone can work! And if they had children? Too bad, I guess! This is just 1 illustration showing how the tax code strives to limit payments to the poor, while being very generous to the wealthy, as demonstrated by the inflation-adjusted unified tax credit of over $2 million!
If the government truly wants to promote work, it would be more successful by taxing it less, instead of taxing it the most, as it is now, especially considering the fact that the deadweight loss of taxation on employment is greatest while the deadweight loss on taxing gratuitous transfers is 0. States and municipalities also tax work more than other forms of income.
Under the tax code, as in other things in life, the rich really do have it better!
Note: As noted in the news item above, the new tax package doubled the maximum child tax credit to $2000, with $1400 of it being refundable. However, the only reason why this was added to a tax package immensely beneficial to the wealthy is because Marco Rubio insisted on it, and without his vote, the rich would not have gotten their big tax breaks. As for the wealthy, among the many other goodies that they have received, the unified tax credit has been doubled, so now the wealthy can pass $22 million to their heirs without any tax liability. But since the government costs so much money, if the wealthy don't pay their fair share in taxes, then they will have to increase taxes on everybody else! While the new tax package did lower taxes for many lower income Americans, it achieved this by greatly increasing the deficit, exactly at the time when taxes should be raised rather than lowered, since the economy is peaking right now. After all, what is the government going to do when the next recession arrives, as it always does, since the economy continually moves in cycles. Without government spending, the economy will sink lower than it would otherwise.
Eventually, these taxes will have to be paid back. For years, the Republicans have been screaming about the deficit, and now that they are in complete control of the government, they have greatly increased the deficit to benefit their political donors. What this means is that the Republicans were not really concerned about the deficit, only that not enough wealth was being transferred from the lower classes to the wealthy! Eventually, the Republicans will argue that taxes must be raised on everybody, mostly the poor and middle-class, and that so-called "entitlements" — Social Security and Medicare — needs to be reduced or even eliminated. Of course, working people have been paying heavy taxes for these entitlements all of their working lives, but the Republicans still call them entitlements. On the other hand, the unified tax credit is a free gift to the wealthy, and unlike the child tax credit, has no onerous requirements!
A few of my articles also have summaries, although most of my articles are already concise. From Money Growth, Money Velocity, and Inflation:
Money Growth, Money Velocity, and Inflation
- Low, stable inflation optimizes economic growth.
- Inflation results when aggregate demand exceeds aggregate supply.
- Aggregate demand is influenced both by the supply of money and the velocity of money.
- The classical theory of inflation states that money growth causes inflation.
- Inflation depends on money growth and the velocity of money.
- The velocity of money equals the average number of times an average dollar is used to buy goods and services per unit of time.
- Nominal GDP is the price of all final goods and services provided by an economy. Therefore:
- Nominal GDP = Quantity of Money × Velocity of Money
- Nominal GDP = Real GDP × Prices
- which leads to the equation of exchange:
- Quantity of Money (M) × Velocity of Money (V) = Real GDP (Y) × Prices (P)
- Prices = Quantity of Money × Velocity of Money / Real GDP
- So, prices increase when the product of the money supply and its velocity grows faster than real GDP.
- Likewise, for changes in these economic variables:
- ∆M + ∆V = ∆P + ∆Y
- To simplify their models for the short run, economists treat the velocity of money and real GDP as constant. Therefore:
- Inflation = Money Growth
- ∆P = ∆M
I also provide resources and links to additional information, such as the following:
Most pages do not have all of these features, since many articles do not benefit from them, but they are used when they improve the article. (And, of course, when I think of it!).
This website is designed to respond to different screen sizes, so that the articles remain readable from phones to oversized high resolution monitors. Many of the articles contain equations, which I write using tables rather than using images, because tables are designed to be responsive for different screen sizes. Using SVG images also improves responsiveness to screen sizes and orientation.
My website has style sheet sections for printing and for viewing on mobile devices. If a page is printed, it will not include any advertising, navigational links, or any other content not useful on the printed page. On screens wider than 1,400 pixels, there is a fixed sidebar with a search box at the top followed by navigational links to major sections of the site. At the bottom of the sidebar of each page are sharing tools, such as for Facebook, Google+, or Twitter. On smaller screens, the pages have no sidebar so that all the screen space can be devoted to the article. In this case, the search box is located below the footer near the bottom of each page.
I continually update my articles with new information or to improve readability or comprehension. In some cases, the information that I use is dated, but I continue to use it because they provide the same pedagogical value. Because many of my examples take a lot of work, I will not update the examples themselves as long as they reflect current understanding and procedure. For instance, in my article on Butterfly and Condor Option Spreads, I use real bid and ask prices for specific stocks, such as Microsoft and Facebook, to illustrate how these option strategies work. This takes time to do, but there is no advantage for using more recent prices, since the principle of option spreads remains the same. But it does allow me to construct many graphs and show actual results of using different options strategies based on real bid and ask prices for a specific time period. Here is an example of a long-put butterfly for Facebook, using prices from 2014:
|Long Put Butterfly|
|October, 2014 Puts||Strike||Price|
|1 Long K1||70||-$3.10|
|2 Short K2||72.5||$8.30|
|1 Long K3||75||-$5.60|
As of May 11, 2018, the price of Facebook stock now exceeds $185. I could update the above example and the numerous other examples in the article with higher prices, but it would make no difference in illustrating how option spreads work. On the other hand, continually updating these tables and graphs would take a lot of work, but without adding pedagogical value.
A valuable resource for me is my own readers. I have been writing articles for this website for 12 years, as of May 2018, so I often receive emails about mistakes in my articles or other problems with the article or website. This allows me to make corrections and improvements continually. It always helps to have a diversity of opinion. When I write, I am often going over different parts of the document, editing here and there, striving for perfection. But in doing so, I often become blind even to obvious mistakes, so it helps to have fresh eyes looking at the articles. You can find my email address in the sidebar or at the bottom, in the footer section of every page, or right here: Contact Me!
So, if you see any mistakes, or if you have suggestions, please email me.
A Note to the Grammarian Police
Originally, grammar was the study of how a language was constructed, how the individual words are put together to form meaning. Then, in time, some people have dubbed themselves to be the grammarian police — grammandos! — and have asserted that writing must follow the rules of grammar rigorously, and, nowadays, we even have grammar software to ensure that our writing is so constructed. I disagree with maintaining a rigid grammatical structure.
I believe that the main purpose of language is to communicate. If there is a better way to communicate, then it should be done, even if it breaks the rules of grammar. Case in point: writing numbers as actual numbers rather than as words, because numbers can be read much faster when they are written as numbers rather than as words, including the numbers 1 through 10. (The only problem with 1 is that it looks like I, depending on the font family of the letters, and my voice recognition software seems to prefer "one" over 1.) However, I only use the number 1 when referring to the number, not when it is being used to refer to a person or thing, such as "any one of you". I also know that grammandos are not gonna like "gonna" nor the fact that I put the period after the apostrophe. (Okay, I only used "gonna" here to make the grammandos cringe a little.) I also often write first as 1st and second as 2nd, and so on. I don't always write ordinal numbers this way, since I have to consider how people will search for certain topics. So in those cases where the ordinal number may be part of popular search terms, I will continue to write it out as a word.
I think language can be improved in many ways to speed comprehension. For instance, using mathematical symbols for some words, such as = for equals. I don't do this on my site because I believe that too many people would probably have a negative opinion of what would probably look awkward to them. However, I believe the awkwardness is only because people are not accustomed to seeing things written that way, but if they were, they would become accustomed to it. But I do believe that people would be able to comprehend written words faster if documents were so written. It might be worthwhile to have some scientists measure the differences in comprehension speed between a document that used all words and a document that used other common symbols.
In fact, I believe that a committee should be formed that should seek ways to improve language in much the same way as the W3.org works to improve HTML and CSS.
I would like to make 1 suggestion right now. In the English language, no word refers to either male or female in the 3rd person singular. Hence, writers are reduced to saying he or she, his or her, or him or her, or they are forced to alternate between the references to avoid being labeled sexist. Sometimes this is useful when using 2 people in examples, since this removes any ambiguity in pronoun referents, but in most cases, it results in superfluous language. Therefore, I propose the following: e to refer to the 3rd person singular for either sex and er to refer to the objective case, as her does for the pronoun she, and ers for the possessive case. Maybe this new 3rd person singular should be capitalized as the pronoun I is, to distinguish it from the natural logarithm base e, although, in most cases, context should clarify the meaning. In any case, this is just a suggestion. I will also probably use singular they more, if the meaning is clear.
This is not to say that there are not unintended grammatical errors on this site that do impede comprehension. Although I do run the documents through a grammar checker for a 2nd opinion, even if I don't always follow that opinion, I am sure that errors slip through anyway. Nonetheless, if you want to comment on this, please e-mail me. I would be interested in your opinion. Maybe I should set up a Facebook page for this topic, but, alas, I do not have the time.
Since there are over 800 articles on this site written over more than 12 years, my thoughts on grammar and my propensities have changed through the years, yielding some inconsistencies in the rules that I have used, something that grammandos the world over are definitely not gonna like, but considering that what is acceptable and not acceptable in grammar has changed throughout the years, as evidenced by the changing results of Usage Panel surveys, and as evidenced by literature itself, my main objectives are clarity and conciseness. You can at least be consoled that there is no Beowulf here.
To facilitate navigation, my website provides the following keyboard shortcuts:
- Control + /: Scroll to full site menu
- Alt + ` (backtick): Sets focus in the Google search box to search this site.
- Alt + 0: Show detailed article outline
- Alt + .: Show only headings in the outline
- Alt + 1: Show article links
- Control + Right Arrow: Next Article
- Control + Left Arrow: Previous Article
I originally added the outline feature to facilitate article editing, but it is also a good way to navigate within the document, especially a long document. You can click any element in the outline to go to that element in the document. The outline will close when any part of the outline is clicked. With the full site menu, you can quickly see all the articles on my site by clicking the various headings and subheadings. Clicking on a link will take you immediately to that article.