Archive for finances

Financial Independence Model

I’m interested in financial independence, as I think it is very responsible thing to do, as well as the most sustainable way to live life.  I remember first learning this from Rich Dad, Poor Dad.  A lot of people do not like that book.  I think the major reason is that the thought of passively making income is so overwhelming that one’s “fight” reaction takes over.  It’s just my guess, though.

Essentially, passive income is earnings where your efforts are not actively needed.  It is much easier to define active income: a job (where time and skill and traded for $bling).  In financial terms, passive income is generally investment capital traded for $bling.  Examples of passive income are dividends, apartment rent (if you own an apartment complex), and the part of the pyramid scheme where you profit from others’ efforts.

Passive income can also be viewed as potential.  As ERE’s post describes, the 25 and 33 scalars, applied to one’s annual budget, are commonly used for estimating this potential.

  • If you need your money to last 30 years and you invest it 100% in index funds and you withdraw your annual expenses every year, you need 25 times as much money in index funds as your annual expenses (including taxes).
  • If you need your money to last 60 years instead and follow the same procedure, you need 33 times as much money.

(If I remember correctly) this concept of potential is defined in Work Less, Live More.  The book, as well as firecalc, describe how those numbers take into account risk, so that one will be financially independent.

The time to generate these amounts are below,

http://adventuresinmissingthepoint.files.wordpress.com/2010/06/sustainable-fi-equation-1.gif?w=470

in general terms, and

http://adventuresinmissingthepoint.files.wordpress.com/2010/06/sustainable-fi-equation-2.gif?w=470

in a more applied form.

Applying the equation above in terms of the percentage of your pay that you save, you’ll come up with a pretty graph.  I have two versions, out of respect for the scale.  The first is in a scale for Joe American.  The second is for the whacky nut job ladies that plan to leave millions of dollars to their cats.

http://adventuresinmissingthepoint.files.wordpress.com/2010/06/american-sustainable-retirement1.png?w=450&h=320

http://adventuresinmissingthepoint.files.wordpress.com/2010/06/ere-sustainable-retirement1.png?w=450&h=320

It’s interesting to see that saving extremely, in terms of one’s earnings, provides a nearly inversely proportional relationship in time for retirement.  These are not revolutionary ideas.  I just like visualizing numbers.

It’s interesting to note that spending less, as opposed to making more, has a greater impact to achieving financial independence, faster.  This is logical, if you look back to the equation.  The accumulation denominator is a function of earning and spending, yet the state of the system in the numerator is a function of spending scaled by a factor of 25.

Work Less, Live More

Comments (2) »

The Phone Bill That Buys Me a 6-Pack

Two years ago I started automatically investing $137 every month.  I based it off a calculation of a known surplus in my budget.  After reading a Rowdy Kittens’ post, I noticed the monthly amount is close to a bill for a cell phone with a data plan.

When I bought a 6-pack of expensive beer a few nights ago, the guy behind me asked what kind of job I had that allowed me to buy that kind of beer.  He was joking, so we just laughed.  On the walk home, I realized it’s the kind that doesn’t require having a phone plan.

After two years, the dividend now pays me $30 per quarter, which is one 6-pack of expensive beer per month!  It’s not a lot.  But, it’s fun to identify “cross-over” points.  Just like the marathon is one mile at a time, so are a lot of other aspects of life.

Leave a comment »

Quantitative Interest Returns

Today, I learned about Benford’s law from Jacob.  If you read either of those links, you can see that if you apply Benford’s law to an exponential function you can find the probability distribution of the exponential function.  As Jacob’s post mentions, compounding interest is an exponential function.

After I compared time and interest rate dependencies in the exponential function, I started wondering more about relative interest return rates.  I believe applying Benford’s law now closes that loop.

http://adventuresinmissingthepoint.files.wordpress.com/2010/03/benfords-law.png?w=410&h=182

The bar plot is the probability distribution of Benford’s law, and the line plot is the cumulative probability distribution of it.  Then, you can apply this to principal in a loan, fraction of a desired capital investment goal, and so forth.

Say you take out a loan, and pay 20% down.  The loan is free from 48% of the total interest compounding.  In other words, the loan is growing at 52% of the total loan potential, as a function of the lending interest rate.

It’s something to think about, and it’s also a tool to use if you apply time to calculations, like if you start to default on payments/investments.

Leave a comment »

Financial Tracking

I try to spend as little time thinking about investments, but some times it gets the better part of my brainz.  The metric I focus on most is passive income: how much I earn by just being.

I update my Google Document a couple of times a month.  In the document, I have:

  • individual data: the points above are a sum of dividends, interests, and the like
  • a 10 period rolling average
  • a regression
  • and, a 95% confidence interval.

I know focusing on one metric is not a good idea; however, as an advocate for sustainable designs and graphs with dense and easy to understand material, this is my favorite metric.  I usually see people track net worth.  To me, that is a more complex way to imagine retirement/laycation cashflows.

I have only seen one retiree’s cashflow, the Canadian Dream’s.  I’m interested in non-conventional, home-made trackings. To me, conventional is a brokerage statement.

Comments (2) »

Capitalism Pays Investors

For some reason when I hear the word capitalism, I think of the characters Randolph and Mortimer Duke from Trading Places. The Duke brothers, Randolph and Mortimer, are crooked investors on Wall Street.  The two only care about themselves, which is apparent in the plot.  The brothers make a friendly bet, for $1, over the welfare of one of their employees and a street begger, whom they force to trade places.

These brothers are the antagonists.  They have so much money that they need not worry about anyone else.  After dabbling in readings about economics, I’ve come to a turnabout.  These characters are capitalism’s heroes, regardless of their poor morals.  Their income thrives off of their investments: their company’s equity, assets, and employees’ knowledge.

Investors in capitalism encourage spending: Investors get cashflow from consumers.  I think society has a misunderstanding that the rich have assets or the potential to consume assets.  But in reality, the “rich” people are the ones who have a sustainable, passive income that is higher than their expenses, like Mortimer and Randolph.

A sustainable, passive income that is higher than your expenses does not require a lot of buying power, i.e. cash or assets.  And, this cashflow is one form of retirement that will last forever, so you can rest your worries from Social Security, 401k, or whatever other method the government encourages.

America’s status quo is to have a job that covers your expenses.  A lot of Americans live at a level they cannot afford, including maintaining an average credit card debt of $8,000.  Investors have interestingly marketed irrational consumer behaviors, solely for selfish reasons.

Looking at catching up, more generally.

I’m not the first to these thoughts.  Rich Dad, Poor Dad is an interesting, light read detailing cashflows more indepth.  Early Retirement Extreme provides a unique paradigm the stereotypical American would probably find absurd, as he retired in his early 30s due to his low cost of living.  I find a view considering time as a key factor for investing to keep investment thoughts and plans optimistic.

Leave a comment »

Investment Fractals & the Break-Even Point for Opportunity Cost

Give us your money, NOW!

Often times I will see an image encouraging people to invest earlier than later. Here is the first picture I found on a Google Image search for “investment 401k.”  These graphs emphasize that time is a key factor for investing: The sooner you invest, the faster you compound your returns.  (And, also the sooner you give an investor your money.)

This concept returned to my thoughts after playing with some of my personal financial goals.  I saw the same pattern, in a visual graph, no matter how I adjusted the dependent variables, such as time, initial investment, annuity investments, and interest rates.

Without perspective, investment curves have similar exponential patterns.

This second image has an initial investment of 100 over 30 periods, in the upper left hand corner.  In the same image, the other two graphs display an independent, 20% increase in time, from 30 to 36, and also in the initial investment, from 100 to 120. This is when I realized that the first graph always has at least two scenarios to show perspective. Otherwise, the pattern is a fractal. “Zooming in” or “zooming out” of the time periods will render the same image (unless there is perspective). Natural fractals are seen on the shoreline, mountains, or even man-made buildings. Often times something of known dimensions, like a person, is included in the picture to give the observer perspective on the relative size.

Unless you overlap the lines onto one graph, the latter rendering with graphs on different axes is a cumbersome display of the importance of time in investing.  This is why perspective is added on the investment literature I have seen so far, like in the first graph.

Displays that if an additional 20% is made at 4 time units later, the same future value is compounded.

My next curiosity is to quantify how important time is in investing.  Using the same basis, how much time can I lose if I invest 20% more of the initial amount, for a total of 120, at a later time?  By balancing a future value formula, for 100% of a present value and then for 120% of a present value, the answer is 3.74 time periods, at a 5% interest rate.  This graph should visually confirm that.  This is intuitive.  It is simply catching up on the opportunity cost of compounding interest.

This lost opportunity cost in time can be generalized, as a function of how what percentage of money can offset.  In my example above, the offset would be 0.20, and the interest would be 0.05.

Maff

As the real rebel that I am, I plotted time as the independent variable, even though in the formula above I have time, “n,” as the dependent variable.

Looking at catching up, more generally.

I used my perspective learning, and plotted two different interest rates.  I feel like the plot summarizes opportunity cost of investing well.  It is also interesting to note that money can be doubled in 15 years, based on median historical rates.  I feel like this calculation is just a generalization from the ideas of net present value and internal rates of return calculations, which makes it that much better of an adventure in missing the point!

Comments (2) »

Buy Low, Be-Concerned When High

I find it interesting when a person, who rarely makes stock trades, reacts to a short-term stock or market trend.  The short-term could be a day, a week, a quarter, or whatever.  That’s not my point.  People, specifically during this downturn*, seem concerned about low stock prices.

To me, low stock prices seem to be the easiest decision I know of: buy, buy, buy!

*Perhaps, this downturn and my relative life experiences have something to say.  People who have lived through the Great Depression probably have a greater emotional reason to save the last pieces of their soap bars, like my grandfather did. . . as opposed to keep buying pieces of paper, I mean keep buying a part of a public company.

But when the prices are high, I think more reflection is required.  For example:

  • How long am I looking to hold, without cashing out?
  • When do I think particular stocks will peak?
  • What time do the Simpsons come on?
  • Is there a better investment at this (most likely upturn of the economic) time?

As with all things though, it probably depends on your relative situation.  Being a 20-something that is young, dumb, and full-of-cum, it is probably easier for me to say “risk it man,” as opposed to a parental figure with a mortgage, insecure job, and/or a coke fix.

. . . and, maybe when you are in the situation of low-risk, barrowing (at these times) may seem just as obvious.  Low interests rates, let’s do it and barrow!  . . . because I have a secure job, secure lifestyle, and secure securities.

You say potato; I say potato.

Leave a comment »