The concept of retiring early has always eluded me.

Recently I decided to look at this from a mathematical and slightly whimsical approach just to see how the numbers add up. The results were interesting and the findings led me to do up a table calculating the annual salaries in each year starting from the age of 24, which is the average age at which one graduates from university, right up till an arbitrary retirement age of 55 (I assumed that past 55 years old, one increasingly finds it difficult to obtain gainful employment.)

At age 24, starting with a monthly salary of S$ 3,000, I applied an annual wage increment of 3.0%, which is more or less in line with the headline inflation rate.

The conclusion:

Upon reaching the onset of the forties - more specifically - at forty years old, it will basically require approximately ten years to recover all the income that you have earned cumulatively over the last 16 years i.e. roughly equivalent to two thirds of the time taken.

Of course this simple abstraction trivially excludes any bonus payments received throughout the years, which can significantly accelerate this.

Also, not all wage increases follow the headline inflation.

For example, getting promoted into a more senior position with added responsibilities typically comes with a bigger jump in pay, or sometimes even a multiple increase over current income levels.

It is also common-place to see double digit percentage increments when jumping between firms and in some cases, even sign-on bonuses.

But you get the point.

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In some ways, applying a 3% wage inflation over one's useful economic life seems a tad conservative and over-simplistic.

Even for non C-suite positions, moving between grades typically involves a huge bump in salaries.

So I decided to take it up a notch and model this using the pay progression in the consulting and finance industry, benchmarking this against what I recall from the Big Four accounting firms.

The chart looks something like this:

The duration to "equalize" your cumulative income earned comes down significantly once you hit your mid thirties and beyond.

With decades of experience on your back, it will basically take you only half the time required to obtain the same aggregate amount of income earned since you graduated - assuming you graduated at age 24.

Again this excludes any ex gratia payments along the way and significant pay bumps attributed to taking on more responsibilities on the job.

Clearly, the golden years of making money comes during your late thirties.

Extending this beyond the age of 40 makes this observation even more pronounced:

At age 40, assuming your salary remains stagnant at $15,000 a month, it’ll take you only about 6 to 8 years to recover all the income that you have earned over the span of your economic life since graduation, again excluding any ex-gratia payments.

In fact, many high performers in this age bracket consistently generate incomes well in excess of this amount, exponentially accelerating this process.

One can see the obvious conclusion here.

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The pursuit of excellence often comes with expensive price tags, to the point where it will even feel like you are trading your waking hours for money.

But the good money comes later in life.

If you happen to be in your twenties, it is important to nurture a 'superpower' and be extremely good at what you do, even if it doesn’t pay well in the short-term.

Work can be a drag. But by giving up too early and 'retiring' at 40, you risk leaving behind a lot of money on the table.