The AlgorithmicFIRE Curriculum Review

Our blogs provide comprehensive resources to the math, the risks, and the strategies of Financial Independence/Retire Early (FIRE). In our Curriculum Review we provide a summary of all our posts to quick-start your journey.
AlgorithmicFIRE • 2026-01-26

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Table of Contents

Introduction: The Engineer's Approach to FIRE

Most investment advice is built on "Hope". You hope the stock market returns 10%. You hope inflation stays low. You hope to retire at 65 and die at 90.

At AlgorithmicFIRE, we don't do hope. We do math.

We believe that Financial Independence Retire Early (FIRE) is an engineering problem. It is a system with:

  • Inputs: Savings rate, Investment Returns.
  • Constraints: Taxes, Inflation, Time Horizon.
  • Failure Modes: Sequence of Returns Risk, Long-term Stagnation.

This summary is organized to walk you through that system from the ground up, identifying the points of failure and engineering solutions for them. It synthesizes our research into a cohesive roadmap; please subscribe to read the complete posts and gain access to our calculators.

Chapter 1: The Rules of the Game (Foundational Math)

Before you save a single dollar, you must understand the environment you are operating in. The market does not care about your plans, and "average" returns are a dangerous myth.

1.1 The Most Important Concept: Sequence of Returns Risk

If you learn only one thing from this curriculum, let it be this: The order of your returns matters more than the average.

During your working years (Accumulation), volatility is your friend. If the market crashes, you buy more shares for cheap. But once you retire (Decumulation), volatility is your enemy.

Consider two retirees, Alice and Bob, who both start with \$1,000,000 and withdraw \$100,000/year. They both invest in an asset that matches the S&P 500's average return, but they experience the returns in reverse order.

Year Alice's Returns (Early Crash) Bob's Returns (Early Boom)
Year 1 -50% (Crash) +100% (Boom)
Year 2 +100% (Boom) -50% (Crash)
Common Math (Avg) +25% +25%
Real CAGR 0% 0%
Final Balance \$700,000 \$850,000

What happened?

  • Alice: Her \$1M dropped to \$500k. Then she withdrew \$100k, leaving \$400k. To get back to \$1M, she needs a 150% return, but she only got 100%. She makes her second year withdrawal, and ends up with \$700k.
  • Bob: His \$1M grew to \$2M. He withdrew \$100k, leaving \$1.9M. The crash hurt, but he was crashing from a higher height. He makes his second year withdrawal, and ends up with \$850k.

The Gap: Despite having the exact same investment returns, Alice has \$150,000 less than Bob after just 2 years. This gap will widen forever because she now has a smaller base to compound from.

These numbers are exaggerated for effect. But in real life, several down years in a row can compound and cause a permanent loss of purchasing power.

This is Sequence of Returns Risk. It is the primary reason retirement plans fail. A market crash early in retirement creates a hole that you can never dig out of, because your withdrawals act like a shovel digging the hole deeper.

1.2 The Yardstick: Safe Withdrawal Rates (SWR)

To solve the Sequence of Returns problem, financial planners look for a "Safe Withdrawal Rate". This is the maximum percentage of your portfolio you can spend each year (adjusted for inflation) that would have survived the worst historical scenarios (like the Great Depression of 1929 or the Stagflation of 1966).

Real vs. Nominal Returns

We always speak in Real (inflation-adjusted) terms.

  • If your portfolio grows by 7% (Nominal Return)...
  • But inflation is 4%...
  • Your Real Return is only 3%.

You cannot eat nominal returns. If bread costs 4% more, your 7% gain only buys you 3% more bread.

Why "Safe" is Hard

The SWR is determined by the worst periods in history. Even if the market averages 7% real returns, there are long periods where it averaged at or near 0% real returns. Your plan must survive those. That is why the common recommendation is only 4%, even though the market returns much more on average. You are paying a "safety tax" for the worst-case scenario.

Chapter 2: The Accumulation Phase (Getting There)

Now that you know the risks, how do you get the money?

2.1 The Math of Saving (Time Value of Money)

There is a dangerous myth that you can "catch up" on savings later in life when you earn more money. The math of compound interest disagrees violently.

Let's look at the monthly savings required to reach \$2,500,000 by age 65 (assuming 7% real return).

Starting Age Years to Save Monthly Savings Required Total Cash Contributed
25 40 \$1011 \$485,527
35 30 \$2,138 \$769,591
45 20 \$4,926 \$1,182,181
55 10 \$14,615 \$1,753,855

A dollar saved at age 25 is worth ~\$15 at retirement. A dollar saved at age 55 is worth ~\$2. If you wait until 45 to start, you don't just need to save double what the 25-year-old saves... you need to save 5x as much.

The Strategy: Save aggressively early. Even if you stop saving later, those early dollars will coast to victory.

2.2 The Headwinds: Advisor Fees

You might think paying an investment advisor 1% is a fair trade. You keep 99%, they keep 1%, right? Wrong.

They take 1% of the assets, not the gains. Imagine a \$1,000,000 portfolio growing for 30 years.

  • Self-Managed (7% Return): Grows to \$7,612,000
  • With Advisor (6% Return after 1% fee): Grows to \$5,743,000

The Cost: Your payments to the advisor cost you \$1,869,000.

To be clear, this is not saying that you paid the advisor \$1,869,000. It is saying that the advisor cost you \$1,869,000 in terms of the returns you received. Compound interest is powerful, but you reduced the compounding from 7%/year to 6%/year; which is a significant drag on your returns.

In retirement, it's even worse. If your Safe Withdrawal Rate is 4%, and the advisor takes 1%, you effectively give up 25% of your annual income (1/4th) to the advisor.

Learning to manage your own portfolio (buying simple Index ETFs like VTI or VOO) may be the highest hourly wage you will ever earn.

2.3 Tax Optimization: The Arbitrage

Should you do Roth (tax now) or Traditional (tax later)? Most advice ignores the progressive nature of US taxes.

  1. Contribution: You save taxes at your Marginal Rate (your highest bracket). If you earn \$100k, every dollar you put in a Traditional 401k saves you 22% or 24% in taxes today.
  2. Withdrawal: When you pull money out in retirement, you fill up the buckets from the bottom.
    • First \$30k (Standard Deduction): 0% Tax
    • Next \$24k (10% Bracket): 10% Tax
    • Next \$73k (12% Bracket): 12% Tax

You could withdraw \$127,000 in retirement and pay an Effective Tax Rate of roughly 9%.

The Arbitrage: You saved 24% tax today to pay 9% tax later. That is a massive guaranteed return. Note: This math changes if you have other income (pension, inheritance, etc.) that fills up the lower brackets first. (This example assumes filing status is joint; individual would be lower.)

Given the tax rates and reasonable assumptions regarding Safe Withdrawal Rate, it is unlikely that the Roth IRA will be a better deal than the Traditional IRA, unless you have substantial other income in retirement.

Chapter 3: The Decumulation Phase (Staying There)

You quit your job. Now the game changes. You are no longer growing; you are harvesting.

3.1 Beyond the 4% Rule: Variable Strategies

The "4% Rule" assumes you act like a robot. If the market drops 50%, the rule says "Keep spending exactly \$40,000 inflation-adjusted," even if that drains your portfolio to zero. No human acts like that.

Variable Withdrawal Strategies (VWS) inject human logic into the math.

  • The Rule: If the portfolio drops, cut spending slightly. If it grows, give yourself a raise.
  • The Guardrails:
    • Ceiling: Never increase spending by more than 5% a year.
    • Floor: Never cut spending below 90% of your initial target (e.g., if you started at \$40k, never spend less than \$36k).

By agreeing to cut spending by just 10% during a crash, you can often increase your initial withdrawal rate to 5% or more. Flexibility is the most expensive insurance policy you can buy, and it costs you nothing but discipline.

3.2 SWR for Different Horizons

SWR is not a single number. It depends on how long you need the money to last.

  • The Gap Year (10 Years): If you are 55 and just need to bridge the gap to a pension at 65, your SWR is massive (historically 6-8%). Even if you deplete the capital, the pension kicks in.
  • The Standard (30 Years): This is where the 4% Rule lives.

  • The Early Retiree (60 Years): If you retire at 30, you need money until 90. You face double the risk of encountering a "Lost Decade" or a Japan-style stagnation. Historical data suggests you might need to be safer, perhaps 3.25% - 3.5%.

  • Deep Dive: Safe Withdrawal Rate For Shorter Retirements

3.3 The Surplus Paradox

Here is the irony of SWR planning: To be 100% safe against the worst-case scenario (1929), you must be incredibly conservative. But 95% of the time, 1929 doesn't happen.

If you withdraw 4.5% and the market booms (like the 1990s or 2010s), your portfolio will explode.

  • Failure: Running out of money (Probability: ~0.2%)
  • Success: Dying with more than you started with (Probability: ~79.2%)
  • Large Surplus: Dying with more than $2.9 Million (nearly 3x your starting balance) (Probability: ~15.4%)

"Failure" in FIRE planning usually isn't going broke; it's dying with \$10 Million that you never enjoyed. You need a plan for this surplus—charity, heirs, or spending more while you are alive.

Chapter 4: Active Defense & Market Realities

"Buy and Hold" works... until it doesn't.

4.1 The Myth of Diversification

You think you are diversified because you own an S&P 500 fund. But:

  1. Concentration: Today, the top 10 stocks (Tech giants) make up 40%+ of the index. You are not buying the US economy; you are buying a Tech ETF with a side of other stuff.
  2. Correlation: In a calm market, stocks and bonds might move differently. In a crash, correlations go to 1. Panic sellers sell everything to raise cash.

True diversification requires looking beyond market-cap weighted indices (e.g., Equal Weight funds like RSP) or asset classes that structurally behave differently.

4.2 The "Worst Case" isn't 2008

US Investors suffer from Recency Bias. We assume stocks always recover in 5 years because that's what happened in 2000, 2008, and 2020.

But look what happened in Japan.

  • 1989: The Nikkei 225 peaks.
  • 2009: 20 years later, it is down 80%.
  • 2024: It finally recovers its nominal high (34 years later).

A "Buy and Hold" investor retiring in Japan in 1989 went bankrupt. It didn't matter if they had a 3% withdrawal rate. The math didn't work. Valuations matter. Buying at the peak of a historic bubble can lead to decades of stagnation.

4.3 Active Defense: Trend Following & Options

If "Buy and Hold" can fail for 30 years, you need an alternative. We call this Active Defense.

Strategy A: Trend Following

Use simple, mechanical rules to exit the market when it is falling.

  • The Rule: If the price is below the 200-Day Moving Average, sell and go to Cash/Bonds. If it is above, buy. (We also describe a strategy that uses "excess returns" to determine when to sell. That method is generally better, but harder to describe in a single bullet point.)
  • The Result: You avoid the deep drawdowns. In 2008, you would have sold in early 2008 and sat out the crash, buying back in 2009.

  • The Trade-off: Whipsaws. In a choppy market, you will buy and sell frequently, losing small amounts. You trade small papercuts to avoid the amputation.

  • Deep Dive: Defending Your Savings Against Significant Downturns

Strategy B: Put Options (Insurance)

Think of this like homeowner's insurance. You pay a premium (~1% of your portfolio per year) to buy Put Options. These contracts guarantee that you can sell your portfolio at a set floor price (the "Strike Price"), no matter how far the market crashes.

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View Video Transcript
You know, there's this quote that really gets to the heart of what we're talking about today. It says, "Most investment advice is built on hope." We don't do hope. We do math. And that's the thing. So much of what passes for financial planning is really just crossing your fingers. In this explainer, we're going to flip that script. We're going to treat financial independence like an engineering problem that can be solved. So, you've got two ways of looking at it. On one side, there's what you might call the hope approach. You know the drill. Retire around 65, hope the market gives you 10% a year, and well, hope you don't run out of cash. But then there's the engineers approach. This is totally different. It's about defining the problem. What are your inputs like? How much you save? What are your constraints like time and taxes? And this is the big one. What are the possible failure modes? How can this whole thing break? And how do we design a system that won't? So, here's our game plan. First, we're going to establish why hope just isn't a strategy. Then, we'll get into the real rules of the game. After that, we'll talk about building your fortune, then living off of it, and finally, maybe the most important part, how to play active defense to make sure you keep it. All right, first up, the rules of the game. See, before you can even think about winning, you have to understand the field you're playing on. And that means you absolutely have to understand the single most dangerous risk you're going to face. And that risk has a name. It's called sequence of returns risk. It sounds complicated, but the idea is actually pretty simple. It means that the order in which you get your investment returns matters way more than the average return itself. Getting a huge market crash right after you retire can be an absolute disaster. In a way, it just isn't when you're 35 and still saving. It's all about the timing. To really make this sink in, let's use a quick example. Let's meet Alice and Bob. They both retire with a cool million dollars. They both need to pull out the same amount of money to live on. And get this, over two years, they get the exact same average return on their investments. So, how is it possible that one of them ends up with way, way less money than the other? Well, let's follow the money. Alice has terrible luck. In her very first year, the market crashes and she loses 50%. Her million bucks is suddenly just 500 grand. On top of that, she has to withdraw $100,000 to live. Now, she's down to just 400K. Bob, on the other hand, gets a fantastic boom in his first year. His million dollar doubles to 2 million before he takes out his 100k. So, after year two, the market bounces back for Alice, but the damage is already done. She ends up with only $700,000. That early loss, combined with having to sell her stocks when they were down, just blew a hole in her portfolio that she couldn't recover from. And Bob, well, Bob ends up with $850,000. Yeah, he had the exact same crash as Alice in his second year, but because it came after a year of huge growth, his portfolio was big enough to take the hit without it being a fatal blow. And just like that, there's a $150,000 gap between them. A gap that will likely never close. It's a permanent penalty for Alice created only because of the bad timing of the market. That right there is the devastating power of sequence risk. Okay, so we understand the biggest danger. Now, let's switch gears and talk about building the fortune in the first place. This is the accumulation phase, your working years. And this is where you have the most power. One of the biggest levers you can pull is simply time. It's huge. Look at this. To get to $2.5 million by age 65, if you start at 25, you need to save about a,000 bucks a month. Not easy, but maybe doable. But what if you wait until you're 45 to get serious? Well, now you have to come up with almost $5,000 every single month. That's the magic of compound interest, but you have to give it time to work. Let's look at it another way. How much of your own money do you have to put in? The 25-year-old only has to contribute less than half a million out of their own pocket to hit the goal. The 45-year-old, they have to cough up over 1.1 million of their own cash. Why? because they missed out on 20 years where the market could have been doing all the heavy lifting for them. Now, the other giant lever you have complete control over is fees. A 1% advisor fee, I mean, it sounds so small, doesn't it? But here's the catch. They don't take 1% of your profits. They take 1% of your entire account balance year after year, whether you make money or lose it. Over 30 years, that tiny little drag becomes a massive anchor. And the final number is just it's staggering. That small 1% fee doesn't just cost you the fees you paid. It ends up costing you almost $1.9 million in lost growth. That's money that should have been yours gone forever. Honestly, learning to manage a simple portfolio of index funds yourself could be the highest paying job you ever have. All right, let's make another big shift. You did it. You built your fortune. Now you have to live off of it. And believe me, the game completely changes when you go from putting money in to taking money out. You've probably heard of the 4% rule. It's a fine starting point, but it's way too robotic. It says you'll spend the same amount plus inflation even if the market gets cut in half. I mean, come on. What human actually does that? A much smarter way is to use a variable strategy. The deal you make with yourself is simple. If the markets take a nose dive, you agree to cut back your spending a little bit. And in exchange for that little bit of flexibility, you can often start with a much higher withdrawal rate, sometimes even over 5%. Now, this brings us to a really funny paradox in retirement planning. Because we build these plans to survive the absolute worst case scenario in history, they are incredibly conservative. So, what's the result? Well, the most likely outcome for most people isn't actually running out of money. That's incredibly rare. No, the most common outcome is dying with way, way more money than you ever thought possible. So, while most plans are built to avoid failure, what happens when the very ground beneath them cracks? This leads us to our final and maybe most critical section. Playing active defense. We've all heard the mantra buy and hold. It's great advice and it works beautifully right up until the moment it doesn't. A lot of us just assume that markets always come back and they come back pretty quickly. But we need to look at the cautionary tale of Japan. Their stock market hit its all-time high in 1989. 20 years later, it was still down 80%. It took 34 years, literally an entire career, just to get back to even. Think about that. A buy and hold retiree in 1989 Japan went broke. Period. And the lesson here is just unavoidable. If your foundational strategy, buy and hold, can fail for literally decades at a time, you can't rely on it alone. You just can't. You have to have a defensive plan for those worst case scenarios. So, what does a defensive plan even look like? Well, here are a couple of ideas. One is called trend following. Think of it like a traffic light. When the long-term market trend is green and going up, you're invested. But when that trend turns red and starts to fall, a rule you set up ahead of time automatically moves you to the safety of cash to avoid the big crash. Another approach is to use put options, which is basically just buying insurance for your portfolio. Like car insurance, you pay a small premium every year. If the market crashes below a certain level, the insurance policy kicks in and pays you, putting a floor on how much you can lose. So, at the end of the day, the engineer's approach to all this comes down to a few key ideas. First, treat your financial life like a system you can design and manage, not some lotteryies ticket you're hoping pays off. Second, understand that sequence risk, the order of your returns, is the number one enemy in retirement. Third, pull the two biggest levers you have. Start saving as early as you can, and be absolutely ruthless about minimizing fees. Fourth, use a flexible withdrawal plan that can adapt to reality, not a rigid robot rule. And finally, have a defensive game plan for those nightmare scenarios where buy and hold just isn't enough. And all of that leaves us with one last question you should really ask yourself when you take a hard, honest look at your own financial plan. Is it truly engineered to withstand the pressures of the real world? Or when you get right down to it, is it just built on hope?
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