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The Math Behind Whether Saving $20 a Week Is Worth It
One extremely contentious topic in personal finance is whether it’s worth it to worry over small amounts. For instance, is saving $20 a week worth it?
The conventional wisdom is that, because of the power of compound interest, small savings make a big difference in the long run. The new thinking is that you should focus on a few big wins and then switch to thinking about growing your income.
In the debate, you’ll often hear people talk about buying lattes. There’s nothing special about a latte, it’s just a standin for a trivial expense of $3 or so. The thinking is that many people buy a latte at Starbucks every day, how much could they save over the long term if they cut this small expense?
In this post we’re going to break down the math to see how much saving on a small expenses can actually be worth in the longterm. We’ll consider saving $20 a week, or a little less than $3 a day. How much money would these savings compound to by the time you retire? How much income would you earn off it going forward? We’ll also consider whether there are other options to explore besides cutting back on small purchases.
$20 a Week Compounded for 40 Years
Saving $20 a week works out to saving $1,040 a year. Let’s assume you start saving when your career starts and you have a normal career of about 40 years. We’ll also assume you get a 6% rate of return.
Here’s what the growth of your investment would look like:
Years  Amount Saved  Returns  Portfolio Value 

40  $41,600  $129,010  $170,610 
Through the magic of compound interest, you only invested $41,600, but you ended up with over $170,000—over four times the amount you put in.
So it’s not insignificant, but it’s also not enough by itself to retire on. It’s sort of in that weird middle area. For a lot of people, and extra $170,000 would be a huge boost to their chances of retiring comfortably. It’s clearly not nothing. But it’s also not the difference between poverty and riches.
It’s worth asking, how much is $170,000 worth in retirement?
The 4% Rule
It’s helpful to think of investing as consisting of two stages:
 The wealth accumulation phase when you are saving money and letting your investments grow
 The wealth preservation stage when you are living off your nest egg and trying to make it last.
The “trying to make it last” part is an inexact science. We don’t know how long you will live, and we don’t know what rate of return your investments will earn in the future.
One simple rule of thumb we can use is called the 4% rule. It says that you can withdraw 4% of your initial balance every year (adjusted upward for inflation) with minimal chance of your portfolio failing.
So the $170,610 we have from investing $20 a week generates $6,824 a year ($131 a week) of passive income according to the 4% rule.
It will take you a little over six years of retirement before the income that you pull out of your portfolio exceeds the amount that you invested in to your portfolio. If you enjoy a 20 year retirement, that extra $170,610 will have produced a total of $136,488 in passive income. And the principal balance will still be left over. It may have even grown.
So after 20 years of retirement, our initial $170,610 is actually likely worth more than $300,000: The $136,488 in passive income earned over 20 years plus the portfolio balance which may have grown beyond the initial $170,610.
The Time Frame Matters
Of course, maybe you want to retire early. Or maybe you’re already 20 years into your career and you haven’t been cutting back on small expenses. Whatever the reason, if your time frame is shorter, the value of the savings will be as well.
Here’s what your savings look like if you are only able to save for 20 years:
Years  Amount Saved  Returns  Portfolio Value 

20  $20,800  $19,752  $40,552 
That $40,552 portfolio is worth about $1,622 a year ($31 a week) of passive income according to the 4% rule. It will take you a little more than 12 years of retirement to pull out as much as you put in.
The Rate of Return Matters
While a short time frame makes things look worse, a higher rate of return makes them look much better. I ran the numbers with a 6% rate of return, which is fairly conservative. The historical rate of return on stocks has been much higher.
Jack Bogle, the founder of Vanguard, inventor of the index fund, and author of The Little Book of Common Sense Investing argues that because of lower dividends, decreased prospects for earnings growth, and high market valuations, we should expect fantastic returns over the next several decades. I agree and think it’s prudent to plan conservatively, but maybe everyone is wrong and the market will go to the moon.
Let’s see what happens if we run the numbers using a rate of return that has been more typical for the stock market.
The Impact of a 9.5% Rate of Return
Since 1926 (the first year we have S&P 500 data), the stock market has returned about 9.5% per year. And that extra 3.5% makes a big difference in our analysis:
Years  Amount Saved  Returns  Portfolio Value 

40  $41,600  $398,569  $440,169 
Holy cow. You cut your spending by less than $3 a day and ended up with nearly half a million dollars.
That $440,169 portfolio is worth $17,607 a year ($339 a week) in passive income. It will take you just over two years to take out more than you put in.
The Impact of a 12% Rate of Return
Years  Amount Saved  Returns  Portfolio Value 

40  $41,600  $851,908  $893,508 
This is just ridiculous. Your $893,508 portfolio can theoretically spit out $35,740 a year ($687 a week) in passive income. It will take you just over a year to take out more than you put in.
Often the people who advocate for saving money on small daily purchases assume generous returns like 12%. You can see why. If we had assumed a savings of $5 a day instead of just under $3, this imaginary portfolio would be worth over $1.5 million. The higher the rate of return, the more small expenses hurt.
Cutting Small Expenses Isn’t the Only Way to Save $20 a Week
So the math that uses the best estimates comes out somewhere in the middle of the debate. The math that uses aggressive estimates favors the savers. But the argument that favors the spenders doesn’t rely on estimates.
Whatever rate of return you get, you don’t need to cut small purchases to find more money to invest. One approach is to focus on the “big wins” of frugality. Most people spend more on housing and transportation than any other category. Locking in savings in those areas can be more powerful than relying on willpower to cut daily spending.
For instance, finding an apartment that is $100 a month cheaper would save you more than cutting a $3 expense every day, and eventually you’d get used to where you live and it would require no ongoing effort.
You could also get money to invest by increasing your income. This could be through a raise, a promotion, or even a side hustle.
Making money is hardest in the beginning and gets easier over time. The nice thing is that we aren’t talking about huge sums here. We’re talking about replacing $20 a week of cutting costs with $20 a week of income. You don’t need the world’s most lucrative side hustle to make that a reality.
Of course, the benefit of a side hustle is that it can scale up much better than cutting costs. Cutting a $3 expense is much easier than making $3, but the more you repeat this game, the harder it is to save and the easier it is to earn.
The Psychology of Money
Money isn’t just about the numbers. We all need to figure out how to use the numbers to change our behavior without rubbing our human nature the wrong way.
Cutting that morning latte is going to be more difficult if it’s the one thing that you look forward to every morning as you go to a job that you hate.
Instead of trying to swim against the current, it’s worth thinking about how you can manipulate your environment to make saving money easier. One approach that I advocate is called the “quick wins” project. The idea is simple: take a few days to go over all your bills and find out how to lower them.
You can do this by cancelling the service, switching to a competitor, downgrading, or negotiating.
Here’s how to do it:
Quick Wins the Simple Way: The Fast Path to Frugality
Or maybe you find that cooking in bulk causes you to eat meals at home. Eating meals at home is a great way to save, because no matter how you run the numbers, cooking is cheaper than eating out.
None of This Matters If You Don’t Invest
If you aren’t intentional about setting aside money to invest, do you know what will happen to the $3 you save on that latte? You’ll spend it on something else.
There’s nothing inherently wrong with spending. Ultimately the reason why you’re investing is to spend money in the future. The key is that if you don’t ever invest, you’ll have to earn every dollar that you ever spend. When you invest, your money makes money so that you don’t have to.
Final Thoughts
Yes, small expenses can make a big difference, but remember that there are other ways of tackling this problem. The most important thing is that you have an intentional plan for controlling your spending, increasing your earnings, and investing the difference.
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My name is Matthew. I started Money: The Simple Way to share my best insights from years of obsessing over personal finance.
My favorite way to manage my money, track my net worth, and keep tabs on my spending is with a free tool called Personal Capital.
You can read a summary of the core pillars of my personal finance philosophy in the post Personal Finance In Less Than 10 Words.
Disclosure:This site exists for informational purposes. Nothing on this site ahould be taken as financial advice or an invitation to buy or sell securities. For more information, see the Terms and Conditions page.
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Frequently Asked Questions About if i save 20 dollars a week for a year
If you have questions that need to be answered about the topic if i save 20 dollars a week for a year, then this section may help you solve it.
For a year, how much is 0 per week?
If you earn nothing each week, you would be paid $040 annually.
Is it worthwhile to put in 0 a week?
b>0 per week may not seem like much, but it’s more than,000 per year./b> Saving this much year after year can make a significant difference as it can help keep your financial goal on your mind and keep you motivated. Small amounts will add up over time and compound interest will help your money grow.
What amount will I have after saving nothing for a year?
$7,300 each
For a year, how much is 00 per week?
$5,200
How much savings will I need to have in 20 years to become a millionaire?
Aiming to save,500 per month will help you become a millionaire in less than 20 years, which is roughly 34 years faster than those who only save 0 per month.
50 dollars per week for a year is how much?
“It’s $2,600 a year, but when you start adding in interest, it grows very quickly.” For example, the Consumer Federation of America calculated that if you saved $50 per week every week for 40 years, you’d have $332,020 even if you invested it at a conservative rate of only 5 percent per year.
What is the annual cost of 5 per month?
Without factoring in interest, saving 5 per month will equal 00 in a year.
What does a day cost in a year?
If you were to save a day without charging interest for 50 years, you would have 8,250 dollars, which is undoubtedly insufficient to cover your entire retirement.
What does a day cost in a year?
The following items could be purchased with $825 if you set aside money every day for a year.
How much does one week in a year cost?
This result is obtained by multiplying your base salary by the number of hours, weeks, and months you work in a year, assuming you work 40 hours per week. If you make per week, your yearly salary would be $60.
For a year, how much is 0 per month?
This result is obtained by multiplying your base salary by the number of hours, weeks, and months you work in a year, assuming you work 40 hours per week. If you make 0 per month, your annual salary would be 40.
What does 5 a week for a year cost?
You can save,300 a year if you make five investments a week.