Skip to main content

Stash Rate

Financial Independence, simply defined, is when your passively produced income is enough to pay for your life’s expenses.  But how do you get there?  When at the beginning of the path, it can seem daunting.  Even imaging enough wealth to generate that kind of passive income is a challenge.  However, the good news, and the real point of this blog, is that the decisions we make along this path drive non-linear results.

A mathematician would tell you that a linear function is defined by the output being directly proportional to the input.  Your elementary school teacher would say they make a straight line on a graph.  Fortunately, on the quest for Financial Independence, we leverage the power of non-linear mathematics.  Maybe the most powerful, the exponential effect of compound interest when investing, we will get to later.  However, it starts with the disproportional effect of saving versus spending.  Let’s explore that now.

A useful metric to track is the Savings Rate, commonly defined as the amount you save in a year divided by the total amount you make in a year.  So, as an example, let’s say you had take-home pay of $50,000 in a year and spent $40,000 on expenses that same year.  That gives you $10,000 left over, which by definition you have saved since you didn’t spend it.

$$Income\ per\ Time\ -\ Expenses\ per\ Time=Savings\ per\ Time$$

Your savings rate would then be calculated as:

$${$10,000 / year \over $50,000 / year} = 0.2 = 20\% $$
One thing I like about this function is that it is dimensionless; the numeratorThe number above the division line and denominatorThe number below the division line are both in dollars per year and cancel out so the result has no units.  We interpret it in this case as a percentage: the percentage of your take home pay saved.

In fact, as long as the time period is the same between the income and savings, you could evaluate the Savings Rate over any period of time, from a single paycheck to years.  A year is a common choice because many of our life’s expenses come in chunks that repeat annually.  For example, looking at the first few months of the year might not give a clear picture if a bunch of tax payments, insurance premiums, and holiday spending skews the result later in the year.  So more generally, the equation is:

$$Savings\ Rate={Savings\ per\ Time \over Income\ per \ Time}$$

Being dimensionless makes it easier to compare.  Two people with different incomes may have very different savings goals, but they can compare savings rates to give them a common language to discuss Financial Independence.  However, there are some issues with this calculation.  Is it before tax or after-tax income?  Where do 401k contributions go?  Ask these questions of different experts and you will get different answers.  It’s also not immediately clear what effect different saving rates have on your path to Financial Independence.

A related calculation I use is the Stash Rate.  Much like the savings rate, this is a dimensionless number.  It is defined as:

$$Stash\ Rate={Savings\ per\ Time \over Expenses\ per \ Time}$$

Notice in using this equation that we have eliminated the income term.  When looking at a year, for example, you now take the total amount of money you stashed away in any savings or investing vehicles (we will dig into the different types in future articles and why they all count) and divide it by your expenses for the year.

The result can again be interpreted as a percent, but it may be more useful to think of it as a multiple.  Let’s look at some numbers to see what I mean.  Using the same example as before:

$$Stash\ Rate={Savings\ per\ Time \over Expenses\ per \ Time} = {$10,000 / year \over $40,000 / year} = 0.25$$

This time, instead of $50,000 of income in the denominator, you have $40,000 of expenses.  The important result is that you have saved 0.25 of a year’s worth of expenses.  This is meaningful on the journey to financial independence.  If you can save 0.25 of a year’s worth of expenses, then the message is simple.  You can work for 4 years and afford to take one yearFor the time being, we'll ignore inflation and earning a return on our money that will outpace it.  That concept will help our money last longer and we will cover it in future articles.  For now, let’s keep the math simple and pretend we are just going to live off of what we have saved. off (0.25 + 0.25 + 0.25 + 0.25 = 1.0).   Some people with aspirations to take a year to travel the world or dive into a startup may do exactly that.  The rest of us may instead choose to work many years and take the remainder off.

But the numbers here aren’t very promising yet.  In the example, you would have to work 40 years just to take 10 off.  The compounding returns of investing our savings will certainly help, but compounding takes time.  For those of us looking to reach financial independence earlier, there must be a better a way.

Fortunately, non-linear math comes to our rescue!  The way to accelerate this path is to Grow the Gap.  To grow the gap, we must put as large a gap between our income and our expenses as possible.  To continue with the example in this article, let’s say your income is fixed (a common scenario of W-2 job where we expect modest raises, just keeping up with inflation over the years) so we focus on your expenses.  In other articles we will tackle different methods and life hacks to do this.  For now, let’s just focus on the numbers.  Let’s say you can reduce your expenses by 10%.  What happens?  Expenses were $40,000, now they drop to $36,000.  By definition, that means your savings now increases to $14,000.  Therefore, your Stash Rate climbs to:

$${$14,000 / year \over $36,000 / year} \approx 0.39$$

Now that’s interesting: you reduced our expenses by 10% but your stash rate went up over 55%0.39 / 0.25.  Instead of working four years to have one free, we’ve brought it down to just over two and half.  Let’s try another example.  What if you can decrease our expenses by 25% all the way to $30,000?

$${$20,000 / year \over $30,000 / year} \approx 0.67$$

The stash rate tells us how many years of freedom we’ve bought.  In this case, you’ve bought a full two-thirds of a year in just one year.  If you can get your savings to match your expenses, then not surprisingly you have bought yourself a year of freedom in just one yearFor example: $25,000 / $25,000 = 1.0 of working.

As we approach and then cross a stash rate of 1.0, the impact flips.  We can now take more than a year off for every year we’ve worked.  If we can save 3 dollars for every dollar we spend, we can work a year and then take 3 off.  You could work 15 and take 45 off, flipping traditional retirement on its head!

Remember the Stash Rate definition: the vertical axis can also be interpreted as years of expenses saved per year worked.  Note the crossover point at 50% Stash Rate accumulating one year's worth of expenses.

What’s your financial situation?  Can you save a dollar for every dollar you spend?  Can you save three?  It might be hard in our $50k example to imagine spending only $12,500 per year, but it’s not impossible.  More realistically, we’ll pull both levers of Grow the Gap and try to increase our income at the same time.  Making $100,000 and spending $25,000 so we can save $75,000 doesn’t seem as farfetched.


Popular posts from this blog

Thrifty Thursday - Save Thousands on Your Phone Plan

Recurring expenses are insidious.  Companies love signing you up for subscription services as it means a consistent revenue stream by default.  The burden is on the consumer to take action, but momentum and inaction usually win out and the payments keep getting made. Taking a hard look at these subscriptions and other recurring payments can be very effective in reducing annual expenses, thereby lowering your Target FI Number and leaving more money for saving and investing .   Some expenses that don’t bring enough value can be eliminated.   Others can be greatly reduced with a little intentionality (just get a month or two of that streaming service to binge your favorite show, no need to leave it renewing for the whole year!)   However, there are some that are necessary but we can work on reducing their impact. One of my favorite hacks is switching to a low-cost cell phone plan offered by a Mobile Virtual Network Operator.    MVNOs lease bandwidth on existing cell towers ins

Intentional Spending

Your spending is an important factor in your financial independence journey. It effects the rate at which you can save and invest while in the accumulation phase and is also a critical factor in calculating your Target FI Number. When accumulating wealth, the amount you can save and invest is a simple calculation: what you make minus what you spend.  Like many of the levers we talk about, your spending has a non-liner effect on your FI journey.  Spending slightly less also means saving slightly more and both of those quantities are found in the formula for Stash Rate , leading to a multiplied effect. $$ Stash Rate = {Annual\ Savings \over Annual\ Expenses} $$ As we saw in the Stash Rate article, decreasing expenses leads to an exponentially increasing rate of wealth building. On the other side of financial independence, the level of spending in your drawdown phase directly determines your Target FI Number. $$ Target\ FI\ Numbe

Thrifty Thursday - Upgrade to LED Bulbs

Here’s a hack with a high percentage return.  If you pay your own electricity bill, chances are your use is metered and charged by the Kilowatt hour (kWh) .  A Watt (W) is measure of power, or energy per second, so a Kilowatt hour is just using 1,000 Watts of power for one hour. For example, a common household incandescent light bulb uses 60W of power.  If you left this light bulb on for 3 hours a day for a year, it would use 65.7 Kilowatt hours: $$Total\ Energy = Power * Time$$ $$Total\ Energy = 60 W * {3\ h \over day} * {365\ days \over year}$$ $$Total\ Energy = {65,700\ Wh \over year} = {65.7 kWh \over year}$$ Since Thomas Edison invented the incandescent bulb in 1879, however, there have been some improvements to the technology.  The latest is the LED Light Emitting Diode bulb.  An LED bulb can create the same amount of light Typically measured in lumens. as an old incandescent light bulb using much less power.  For example, an LED replacement for a 60W inca