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If you plan to retire early, it is important to know when you will be able to retire. We have already covered a lot of simple math about Financial Independence. But we have not yet covered how to know how long it will take you to retire (or to become Financially Independent).

In this article, we are going to cover the simple math behind Financial Independence and find out how long you will need before you can early!

And since we are on the subject, we are also going to see how you can retire earlier!

**Contents**show

## How to retire early?

Let’s review first how you can retire early. You will be able to retire when you are financially independent.

When you retire at the standard retirement age, you can generally rely on your country’s social security system. But when you are retiring early, most countries will not help you. In this case, you need to rely on your net worth to cover your expenses.

You could accumulate the cash for each of the years you plan to be retired. If you want to retire at 40, you could plan for 50 years of retirement. So, you need to accumulate 50 years of expenses.

Unfortunately, there are two important issues with this simple approach. First, it requires you to accumulate a considerable amount of cash. And second, with inflation, your net worth is unlikely to sustain you for as long as you planned.

There is a better alternative: retire early with your investments. This strategy is at the heart of the Financial Independence and Retire Early (FIRE) movement. And it is based on The Trinity Study.

The idea is simple: by withdrawing only 4% of your principal every year and invest everything in the stock market, you should be able to sustain your portfolio for a very long period.

If you follow the 4% rule, you will need to accumulate 25 times your yearly expenses. This total is called your FI Number. Once you reach your FI number, you can retire.

## That math behind retirement

So, now that we know how to retire, how can we know when we will be able to retire? The math is the same if you want to know how many years you have until you are financially independent.

With that, we can compute the number of years you will need based on the compound interest formula.

The number of years is LOG((R*FIN/Savings)+1)/LOG(1+R) where:

- R is your yearly returns on investments
- FIN is your FI Number
- Savings is your yearly savings

Now, we can simplify this. Your FI Number and your Savings are highly correlated, and we can simplify this only to have your savings rate (SR). So, the number of years is LOG(((1/WR)*R*((1/SR)-1))+1)/LOG(1+R), where we add:

- WR as your withdrawal rate
- SR as your savings rate

There is something powerful here! Your income and expenses are not very important. **What is essential is your savings rate**! A person with 50’000 CHF yearly salary and a savings rate of 50% will be able to retire at the same than a person with 100’000 CHF salary and the same savings rate!

This formula shows the importance of your savings rate! If you want to retire earlier, you will need to optimize your savings rate. Do not worry too much about the math. You do not need to work it out yourself. I am here for that!

You will find many examples in this article. And if you want more, I have created a Years To Retirement Calculator, for you!

## How many years to retirement?

But enough with the math, let’s see some numbers. First, let’s start with two assumptions:

- Your yearly returns on investment are 5%
- Your withdrawal rate is 4%

Based on these assumptions and our formula, we can draw the following graph:

We can see from this graph that increasing your savings can make a huge difference in when you can retire. If you can increase your savings rate by 10%, you could save many years.

You can use this graph in two ways:

- You can find how long you need to retire with your current savings rate.
- You can find how much savings rate you need to retire when you want.

Here are some number of years to retirement for some savings rate:

Savings Rate | Years To Retirement |
---|---|

10% | 51.35 |

20% | 36.72 |

30% | 27.98 |

40% | 21.64 |

50% | 16.62 |

60% | 12.42 |

70% | 8.79 |

80% | 5.57 |

90% | 2.67 |

100% | 0.00 |

If you are saving 20% of your income, you will need 36 years to retire. But if you increase your savings rate by 10%, you will only need 27 years! By saving 10% more of your income, you are saving nine years.

The higher your savings rate is, the fewer years you need to retire. But it does not mean that it is not worth to improve it. If you are saving 50% of your income, you will need 16 years to retire. If you are pushing to a 60% savings rate, you will only need 12 years. By doing so, you are saving 25% of the time to retirement.

## Retire earlier – More returns

Now, ideally, everybody would want to retire earlier. The first way for that is to increase the returns on your investment.

Here is the same kind of graph but with different yearly returns after inflation:

For low savings rates, increasing the annual returns makes a very significant difference. You can easily save many years out of your journey.

Now, **the problem is getting consistent returns**. Getting more than 5% returns after inflation on average is not easy. Depending on the stock market you are investing in, you may get 7% returns after inflation. But you are very unlikely to get 12%. That is unless you take a large amount of risk.

In general, you should only take the risk that is appropriate for your situations. Not everybody needs or wants the same amount of risk. To save years out of your journey, I would be cautious about taking too many risks.

You need to find an investment portfolio that suits your ability to take risks and keep at it. Even though it will reduce the number of years you need, you should avoid taking more risks just for that reason.

## Retire earlier – Higher withdrawal rate

Another way to retire earlier is to increase your withdrawal rate. By being able to withdraw more money every year, you need to accumulate less money. Now, this is more of an exercise because, in practice, anything higher than 4% is unlikely to last for very long periods.

So, let’s see what happens with different withdrawal rate (again, assuming 5% yearly returns):

Your withdrawal rate will make a significant difference in how many years you need to work before retiring.

For instance, at a 20% savings rate, there is an eight years difference between a 3% withdrawal rate and a 5% withdrawal rate. At a 50% savings rate, there is a six years difference. This difference is significant.

Now, as I said, this is a thought exercise more than practical advice. Indeed, the difference in risks between a 3% withdrawal rate and 5% is enormous. A 3% withdrawal rate is very conservative. But a 5% withdrawal rate is hazardous. Except for short periods, a 5% withdrawal rate is unlikely to work.

Nevertheless, it is essential to realize **the impact on withdrawal rates on the number of years** before you can retire.

For more information on withdrawal rates, you should check out the recent results from the Trinity Study.

## Retire earlier – Better savings rate

Now, the first two ways to retire earlier were to take on more risks. But you can also retire earlier by increasing your savings rate. This fact should be clear from the first graph already.

Now, we can see some more practical advice to reduce the years to your retirement. For this, you will have to increase your savings.

There are two ways to increase your savings rate:

- Reduce your expenses
- Increase your income

The first, reducing your expenses, is more potent. Indeed, reducing your expenses has a double effect: increasing your savings each month and reducing your target FI Number. But, reducing your expenses has a limit. You cannot practically cut down your costs to zero, especially in a country like Switzerland.

While it is less effective mathematically, increasing your income is very potent as well. And it has higher limits than reducing your expenses. If you grow your income a lot, with your own business, for instance, it could become straightforward to retire early.

And obviously, you can also work on the two fronts and do both. For more information, I have an article about whether you should reduce your expenses or increase your income.

### Savings Rate – Reduce your expenses

The easier way to increase your savings rate, and hence reduce the years to your retirement, is to reduce your expenses.

Here are some examples of how to cut your budget down:

- Cook more at home and avoid eating out.
- Cut down unnecessary recurring expenses like newspaper subscriptions you do not read or TV subscription you do not use.
- Buy your food in a cheaper shop.
- Review all your insurance coverage for optimization.
- Cut down your investing and banking fees.
- Cut down on your travel.

Let’s take an example. Let’s say you are spending 75’000 per year on an income of 100’000 per year. Over a year, you are spending 5000 on eating out. If you stop eating out, you will now save 30% instead of 25%. By doing so, you will be able to retire four years earlier.

Of course, you do not have to stop eating out, but you could cut it out by half and save two years. In the end, it is always a balance between how much you want something and how much you want to retire early.

There are many ways to reduce your expenses. You can get creative and cut down a lot of them. Some people even start living on the road to cut down their living and travel expenses.

### Savings Rate – Increase your income

The second way to increase your savings rate is to increase your income. Doing so will also reduce the number of years to retirement.

Here are some ways to increase your income:

- Work hard to get a raise or a promotion.
- Invest in real estate.
- Invest in dividend stocks.
- Start a side hustle.

Let’s take an example. Let’s say you are spending 75’000 CHF per year on an income of 100’000 CHF. Now, let’s say you can generate 10’000 CHF extra per year. And let’s assume that you are not saving this new income. Your savings rate will increase from 25% to 31.8%. With this change, you are now five years closer to retirement.

Again, you have to be careful about not pushing yourself too much. If you have to work 80 hours a week to generate more income, you will probably not enjoy your journey to retirement. So, once again, it is a matter of balance.

If you want more information on that, there are more ways to increase your income.

## Conclusion

By now, you should realize **the importance of your savings rate** if you want to retire early. Your savings rate is **more important than your income or your expenses**. And it the same thing if you want to become Financially Independent.

We can directly see this fact in the different experiments for this article. As long as you increase your savings rate, you will reduce the years to retirement. We can simplify the formula for the years to retirement to base it on the savings rate only.

The best way to retire earlier is to improve your savings rate. For this, you can either reduce your expenses or increase your income. In practice, you should try to do both. A lot of people neglect income and focus only on reducing expenses. But both fronts are essential.

But do not forget to enjoy the journey. Too many people only focus on the goal of retiring early and are living a miserable life in the path to Financial Independence. Being FI will not entirely change your life.

To read more about Financial Independence, you can read about the multiple reasons to become Financially Independent.

When do you plan to retire?

Hi,

great article but before I start do rebuild everything with my favorite spreadsheet tool I ask you if you can offer us a template to calculate those numbers?

Thx :)

Hi Simon,

I am afraid I do not have a spreadsheet ready to do these calculations.

I am planning to add a calculator to the website to compute this, but I have not yet done it.

Thanks for stopping by!