# Post-Retirement Calculator: Will My Money Survive Early Retirement? Visualizing Longevity Risk

Posted In: Financial Independence | Money

I added a simple spending flexibility parameter that allows you to specify how much you could reduce spending when your portfolio is below a certain threshold (in this case, your original retirement amount (inflation adjusted)).

One of the key issues with retiring is the question of outliving your money. This is also known as Longevity Risk and is especially important if you want to retire early, since your retirement could be 50 years long (or more). This interactive post-retirement calculation and visualization looks at the question of whether your retirement savings can last long enough to support your retirement spending and combines it with average US life expectancy values to get a fuller picture of the likelihood of running out of money before you die.

It helps to answer the question: If I start out with $X dollars at the beginning of my retirement, will I run out of money before I die? – Use this button to generate a URL that you can share a specific set of inputs and graphs. Just copy the URL in the address bar at the top of your browser (after pressing the button). #### **Click Here to view other financial-related tools and data visualizations from engaging-data** #### Probabilities based on historical cycles The graph shows the likelihood of your balance being at different levels during each year of your retirement (and compares it to the probability of dying during this time). Red indicates failure (i.e. you’ve run out of money) and green indicates success (i.e. you haven’t run out of money). The probabilities are calculated based upon looking at stock, bond and cash returns from historical cycles between 1871 and 2016. If you expect to retire for 50 years, one historical cycle would be from 1871 to 1922, another one from 1872 to 1923, and so on until 1965 to 2016. Thus 95 different historical cycles are considered (in this case). It is important to note that these frequencies in the past are not the same as actual probabilities. Just because an outcome happened once in history doesn’t mean that there is a one in 95 chance (1.05%) of this same thing happening in the future. However, if your retirement portfolio survives most historical cycles, there is a good chance that it’ll survive in the future without any major black swan events. If something crazy occurs (e.g. a major nuclear war), your retirement balance may be the least of your worries, so we can safely ignore this, since there’s very little way to prepare for it financially. #### Instructions (updated) The fields are all pre-filled but you should modify the numbers to suit your situation or to explore other options. Press ‘Enter’ or ‘tab’ after you enter the value into the input box. • Hover over the input labels for more info. • Enter your expected spending per year in retirement and the savings amount you expect to have at retirement. • Enter your age at retirement and how long you expect to live (you can estimate on the longer side since the calculator will include life expectancy). • Enter your target asset allocation for retirement. • Enter your sex. • If you think you’ll have some flexibility in your spending post-retirement, you can enter the percentage reduction in spending that will happen if your portfolio is below a certain threshold, in this case your inflation-adjusted starting balance. • Enter your average expected tax rate (not your marginal rate) – this will be applied to your annual spending and any additional income. • Enter your average investment fees (e.g. expense ratios). • Enter any additional income sources or expenses that aren’t applicable for the entire model period, and indicate both the starting and ending ages. If you have multiple income or expense streams, you can enter them all separated by a semi-colon (;). You can also modify a few graph elements (to help you focus on different parts of the graph): • Show or hide the death probability wedge. Hiding it helps you investigate the portfolio balances with greater resolution for later years. • Show or hide different categories of success (green wedges). Success is defined as any outcome where you are not broke (i.e. balance <0). Additional categories of success include balances that are below your initial retirement balance (but still above zero) and balances that are more than double and five times your initial retirement balance. • You can download an PNG image of your graph (click on the camera icon in the lower right). Huge tip of the hat to maizeman who first developed this type of graph and was helpful in putting these graphs together. Thanks! Here is maizeman’s github repo. It is also inspired by many hours of playing with cFIREsim and FIRECalc. #### Visualizing Longevity Risk One of the most valuable things about these sorts of interactive graphs is that it allows you to understand how the results vary as you modify the inputs (asset allocation and length of retirement). So I encourage you to play with the inputs to calculator and the ways to visualize and see how the results and hopefully your understanding of the processes change. One of the key takeaways from this is how large the ‘Wedge of Death’ gets as you get older and how the likelihood of dying is much higher than running out of money. Another important takeaway is that if your retirement has a large likelihood of success (e.g. 4% or lower withdrawal rate), your retirement balance is most likely to be large (more than 2x your initial balance). As mentioned earlier, it is important to remember that past performance does not predict future performance. Data source and Tools Historical Stock/Bond and Inflation data comes from Prof. Robert Shiller. Life expectancy data is from the Social Security Administration. Javascript is used to process and aggregate the retirement balance results over all historical cycles and graphed using Plot.ly javascript graphing library. Update: – I’ve gotten alot of really good feedback on this tool. I’m really happy that people find it useful and informative. I’ve also gotten a long list of suggested additions to the calculator, so come back and check to see if I’ve implemented any. First update: I added the ability to toggle between looking at nominal and inflation-adjusted success values. i.e. if we are looking at 2x the original starting balance, 2x can be in nominal dollars (i.e.$2 million on a $1M starting balance) or 2x in inflation adjusted dollars (i.e. more than$2M, whose exact value depends on the historical inflation for a particular cycle). You’ll notice that the success bands look worse when comparing to the inflation-adjusted (real) starting balance rather than the nominal starting balance.

2nd update: I added a few requested features. The first two are the ability to specify you annual tax rate on income and also fees (like expense ratios) on your investments. The main addition is the ability to add multiple income and expense streams with specified starting and end dates to the calculation. This is useful for adding income streams like social security or pensions and temporary expenses like a mortgage or childrens’ college expenses.

3rd update: I added a 5x category just because in many cases (especially less than 4% withdrawal rate), you see huge growth in your portfolio in many/most cases. I also added a button to generate a URL that you can share specific parameters and scenarios with other folks.

### 38 Responses to Post-Retirement Calculator: Will My Money Survive Early Retirement? Visualizing Longevity Risk

1. jenny says:

great web tool for understanding how the liklihood of different outcomes change as you change the numbers. This is great for planning for our ER in 5-7 years!

2. kelly says:

This is very cool. Thank you for making it!

3. Jeff says:

Good tool just needs the ability to include Social Security to the forcast.

• George says:

I just entered our Social Security Income + Pension Income in the “Extra Income” line, along with start date, and end date at the end of my retirement period. Seems to work.

4. socks5 proxy says:

That’s interesting article for me..
ðŸ™‚ Looking forward for new updates.

Best regards,
Michael

5. […] for dying. (Ever notice how many of those we have?) In another neat tool from Engaging-Data.com, Will Your Money Last If You Retire Early? adds some helpful nuance to this analysis. You input the same types of information, but now in any […]

6. dawn says:

I don’t understand why at age 90 it says my red zone (broke), is 2.3%, but when I uncheck the Death Zone part, it shoots up to 8.2% for the same exact age, age 90. Shouldn’t it remain the same?

• chris says:

The percentage goes down when you include the wedge of death because the percentages have to add up to 100%.

So if you remove the death wedge the three green and one red wedges add up to 100%. And 8.2% of your survival percentage at age 90 is 2.3%.

7. dawn says:

It would be nice to also be able to adjust the withdrawal rate, perhaps to 3.5%, instead of using the fixed 4% amount.

• chris says:

The withdrawal rate is changeable. Just modify the annual spending or beginning savings amount.

Hope that helps.

8. Sabrina Oesterle says:

Love the calculator. But it assumes that you will spend the same amount per year the whole time. That seems unrealistic. Are there calculators that let you vary the annual spending? For example, I want to retire when I am 53 and I expect to spend way more early on than when I am older. How could I figure out what the implications are for that?

9. Garrett says:

Can you please fix this so that it doesn’t break at 150 years of retirement?

Many of us in the longevity community expect to have life & excellent health FAR past age 100. Many of us into the multiple hundreds.

• Martyn says:

If you are going to liv te that long then you have plenty of time to learn how to do this yourself. You will need a hobby to stave off the depression arising from outliving all your friends and any children/grandchildren you might have.

10. Martyn says:

Dear Engaging Data,
Thank you for posting this very useful simulator. One question – is the amount spent annually increased with inflation (what rate used?) or is it a nominal, fixed amount which will lose its purchasing power over time?

• chris says:

Spending is increased annually to account for inflation and is based on the annual inflation rate in each historical cycle.

11. Mike OBrien says:

This is one of the most insightful illustrations of retirement planning that I’ve seen. Thank you!
A couple questions:
(1) Is “Spending/yr” intended to be pre-tax or post-tax?
(2) Is “Spending/yr” adjusted up over time factoring in inflation? $100,000 today isn’t going to go as far in 15-20yrs from now. (3) Ideas to factor in: a) Social Security payments b) Annuities, IRAs, 401Ks – these don’t kick in at the same time so adjusting for these would be helpful (4) Is there any way we can get access to the underlying data – xls download? • JWI says: Same here, like to see some of the underlying fingers in a spreadsheet format. Also, are the expenditures before or after tax? • chris says: Expenditures are after tax. 12. Mark says: I never put much faith in these calculators. I think we are in unprecedented times that we have never been in before. Quantitative easing did that. It will be interesting 13. This is a really cool visualization! I haven’t used plot.ly before, but have some D3/Tableau experience. How have you liked working with plot.ly? I’d be curious about trying it. • chris says: Thanks for your kind words. I like plotly and have used other versions of JavaScript maps like amcharts, zing charts, etc. they have a set of built in chart types which makes it quick to get a chart up though I find I can spend a fair amount of time tweaking them to be just right. I havenâ€™t used D3 though Iâ€™d like to learn at some point. I hear itâ€™s very flexible and powerful but takes a bit of work and learning. 14. […] This post has a built-in FIRE calculator with a graph that changes with the inputs. From Engaging Data,Â Will Your Money Last If You Retire Early? Visualizing Longevity Risk. […] 15. Dan Griffin says: Very nice tool. I’ve created very similar things using homemade monte carlo simulators, but mine haven’t had the nice graphics. This is great for visualizing and thinking through scenarios. If, for example, you retire at 45, and are trending toward the bottom of the graph, it is probably worth jumping back into the workforce to reduce the risk of failure. It’s one thing to read about sequence of returns risk, but another to be able to visualize it. Thanks! 16. Tyler Jones says: Nice job. can you integrate a change of investment from start to finish. could be simple linear move from high stock to high bonds or what ever. its unrealistic for the average investor to keep 80% stock to age 90 thats a lot of risk to carry for most people. 17. […] simulate the post-retirement period when you start to draw down your savings. That can be done on this post-retirement calculator (Rich, Broke or Dead) which compares the frequency of various outcomes in retirement (running out of money, ending up […] 18. Randy says: Chris, this tool is terrific. Thanks so much for taking the time to put it together. Question about retirement years and % probability of death. If I start retirement at 55 and assume a 30 year retirement, I would assume the tool to return a 100% chance of death at 85, based on the inputs. But in my case it displays 65.6%. Is this because people are woefully poor about determining their longevity and tend to estimate on the low side? If that’s the case, then shouldn’t the tool keep calculating the %’s for the 34.4% chance I have for living past age 85? Thanks again 19. Jim says: Can you please constrain the stock/bond/cash percentages to add up to 100%? I made the mistake of investing 105% and it took me a while to notice why the results were overly optimistic. 20. Tom says: This is the most useful chart i’ve ever seen. Thank you 21. George says: Only problem I’ve seen from casual use is the generate the URL for my data, upon reload, changes my sex from M to F. Its OK as I realize its not really happening! Great tool to compare with the Fidelity calculator that I have access to. Thanks 22. George says: Multiple “Extra Income” and “Extra Expense” lines would take the format tedium out of typing the semicolons and ordering corresponding ages correctly. I would think three of each line would be good. 23. JWI says: If I understand correctly, if I have two sets of Extra Income: coming in at ages 55 ($20,000) and 63 ($11,000), I would enter as follows – does this look correct? Extra Income: 20,000;11,000 Start Age:55;100 End Age:63;100 • chris says: Yup thatâ€™s correct. Edit: oops that’s not correct. Put the two start ages in the same box and two end ages in the end box. • JWI says: *** Duh, I just look at what I originally wrote (above). Actually, I think I have it wrong? For two sets of Extra Income: coming in at ages 55 ($20,000) and 63 ($11,000), both with End Age: 100 Instead of: a. Extra Income: 20,000;11,000 Start Age:55;100 End Age:63;100 Should it actually be: b. Extra Income: 20,000;11,000 Start Age:55;63 End Age:100;100 =============== A second question, regarding common Start Age: and End Age: Assuming that b. (above) were correct, If the end dates or the start dates of multiple Extra Income (and multiple Expenses) are the same, would we still need to enter all the dates? For example – Extra Expense coming in at ages 51 ($12,000), 55 ($15,000) and 62 ($7,000), all ending at a common age of 87 young, we would enter as follows:

c. Extra expense: 12000;15000;7000 Start Age:51;55;62 End Age:87;87;87

But could we also enter as follows? :
d. Extra expense: 12000;15000;7000 Start Age:51;55;62 End Age:87

Similarly, if Start Age were common (let’s say age 51) but End Age were different (e.g. 76,85, and 87), would writing as follows also be correct? :
e. Extra expense: 12000;15000;7000 Start Age:51 End Age:76;85;87

24. Tony says:

Excellent work and visualization.

I’m wondering: are you using life expectancy at birth? If so, the results may look much different for life expectancy at say, 50 or 60.

In any case, thanks!

25. Archie says:

Interesting tool. Couple of questions on the calculations:

I’m trying to figure out why the calculated probability values (for everything except the life expectancy) jump around from one predicted year to the next. For example, using the default figures, the probability of being in the “success balance < start" zone has two prominent spikes, 13 and 16 years after the start. There's nothing inherently different about the 13th and 16th years of retirement, so the "real" graph (whatever that means) should be smoother than the tool shows. I'm guessing it's an artefact of the historical investment data. But shouldn't a "bad investment year" feed in to the figures once as "year 1", once as "year 2" and so on and therefore affect years 14 and 15 just as much as years 13 and 16 ? Maybe it's caused by unusual years near the start and end of the datasets ? Depends how you're doing the calculations, would be nice to know a bit more.

Also: I don;t see why my estimate of my "retirement years" should affect any of these figures – it doesn't change either the historical investment returns or my life expectancy – but it does change the results in the calculator. E.g, again with the default values, and a 50 retirement years estimate, I have a 33.7% chance of being in the light green zone after 20 years. But with the same assumptions and a 20 retirement years estimate, I have a 32.8% chance. Why the difference ? It's the same 20 years of investment.

• Archie says:

(the 33.7% and 32.8% figures are after excluding the “dead” option, just to be clear.)

26. Que Tiene says:

seriously nice web tool for seeing how the likelihood of having different amounts of money change as you change the numbers and over time. Knowing the probability of dying is scary and eye-opening at the same time.