September 20, 2024

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How Wealth Accelerates After Reaching One Crore [Compounding]

How Wealth Accelerates After Reaching One Crore [Compounding]

Compounding is one of the most powerful forces in wealth creation, especially for long-term investors. It refers to the process of earning returns on both our initial investment and the accumulated returns over time. This creates a snowball effect, where our money begins to grow exponentially. While the early stages of compounding may seem slow, the real acceleration happens when the investment corpus reaches a significant size—like one crore.It is a fact that once an investment reaches Rs. 1 crore, wealth begins to grow rapidly, often doubling at a much faster rate. This is because the larger base, though it continues to compound at the same rate, but yields much larger returns (value wise).For instance, the same 16% annual growth that took years to generate modest returns in the early stages can now add crores in a matter of years once the corpus is larger. In this, article, I’ll show you the example calculation which will highlight how slowly the wealth compounds in early years and then gains tremendous pace in the later years.This shift creates the perception that wealth explodes after reaching Rs. 1 crore.The compound interest formula (see below), it explains this mathematically:Final Amount = Invested Amt * (1 + ROR)^TimeHere, “ROR” stands for the rate of return, and “Time” represents the number of years.This formula, allows us to calculate how long it takes to reach specific milestones, such as Rs. 1 crore from an initial investment.But the real magic of compounding lies not just in crossing that first crore, but in how the returns after this point accelerate with each passing year.Understanding this is crucial for investors aiming for long-term wealth accumulation.1. Compound Interest Formula and Time CalculationThe compound interest formula, is the foundation of understanding how wealth grows over time. This formula demonstrates how your investment grows by compounding. The one most important metrics in this formula for us is the time.Typically, we use this formula to estimate how much wealth can grow over time. However, in this article, I want to shift the focus to viewing the compounding formula from the perspective of time.What’s the advantage? This approach allows us to see how long it will take for our investment to reach the first crore. Additionally, it helps us understand the time required to achieve each subsequent crore as the investment continues to grow.Do not worry if this formula looks complicated. We are going to use it more practically than mathematically. Idea is to make us look at compounding with time as focus. It will also highlight and explain how & why wealth explodes after the first one crore milestone is reached.Time = Ln (Amount / Investment) / Ln (1 + ROR).1.1 ExampleFor instance, let’s say you start with Rs. 20 lakhs, and your goal is to grow it to Rs. 1 crore. At a 16% annual rate of return (ROR), applying the formula reveals it will take about 10.84 years to achieve this.This calculation is not just academic, it allows us to map out our journey toward financial independence.By understanding the time required to reach each financial milestone, we can better plan our wealth milestones. For example, after reaching the first one crore, the subsequent growth becomes faster. But when we say “becomes faster”, it does not makes. Consider this, At 16% ROR, our corpus can grow by another crore, from Rs. 1 crore to Rs. 2 crores, in just 4.67 years. This kind of quantification makes the wealth building looks more achievable.It is a tough task to execute, there are no exceptions to it. Had it not been like this, almost everyone would have been crorepatis in our country. Having said that, it is also true that, the time focused compounding formula, can give more visibility to the whole process of wealth building. This makes us plan our wealth journey more practically.2. Wealth Explosion After The First CroreThe first milestone of Rs. 1 crore takes time – around 10.84 years with a 16% annual growth rate. This initial phase is often the hardest part of wealth building. If we can pass this phase, the rest of the journey is much easier.In the initial years, when the compounding has not yet fully shown its potential, our capital growth is very muted. However, what happens after reaching this first crore is where compounding starts to reveal its true power.In the next 10 years, the same Rs. 1 crore can grow to Rs. 5 crores (@16% CAGR). This rapid growth is because the investment base has expanded. In our example, our initial capital was just Rs.20 Lakhs. In this phase, the base capital has growth 5 times, we are starting here with Rs.1 Crore. This base effect helps a lot in capital multiplication in the later years.To understand it more simply, consider this:Start: The 16% return on Rs.20 Lakhs yields Rs. 3.2 lakhs in the first year.First Crore: While the same 16% GARR on Rs. 1 crore yields Rs. 16 lakhs in the first year.Two Crore Base: At the same ROR, Rs. 2 crore yields Rs. 32 lakhs, and so on.Five Crore Base: A ROR of 16% on Rs. 5 crore yields Rs. 80 lakhs.Ten Crore Base: ROR of 16% on Rs. 10 crore will yield Rs.1.6 CroresSo you can see, how our money can make more money just because of the growing base effect.2.1 Time FocusThe table clearly shows how wealth accelerates significantly in later years due to the power of compounding. Let’s break it down step by step for key milestones:10.84 Years For First Crore: It takes 10.84 years for the initial investment of Rs. 20 lakhs to reach Rs. 1 crore at a 16% annual return. This is the longest period because the base amount is small, so the compounding effect is slower.4.67 Years For Second Crore: After hitting Rs. 1 crore, the pace picks up. It takes just 4.67 years to double from Rs. 1 crore to Rs. 2 crore. The larger base starts generating faster growth.1.5 Years For Fifth crore: The journey to Rs. 5 crore from Rs.4 crore happens in just 1.5 years. This period shows how wealth grows rapidly after reaching Rs. 2 crore. The time to double wealth keeps shrinking as each crore milestone is achieved faster.0.71 Years For Tenth crore: By the time the portfolio reaches Rs. 10 crore, the investment base has become substantially heavy. What’s interesting us is that, it is taking less than a year to make crore. From Rs.9 crore to 10 crore takes only 9 months and the time between each crore reduces further.0.35 Years For Twentieth crore: The final milestone of Rs. 20 crore is achieved in 30.56 years (cumulative). By this stage, the capital grows at a remarkable pace, with each additional crore being generated in less than 4.5 months.Notably, after crossing the Rs. 7 crore milestone, the portfolio starts growing by Rs. 1 crore in under a year. This rapid compounding is driven by the larger base and highlights how quickly wealth accelerates after hitting significant milestones.3. The Impact of a Higher Return Rate on the following linesWhen the CAGR increases to 20%, the speed of wealth accumulation accelerates dramatically. Instead of taking 10.84 years to reach Rs. 1 crore, it takes just 8.83 years. This faster journey to Rs. 1 crore sets the stage for much quicker wealth growth.The first 8.83 years took the wealth to Rs.1 Crore. In the next 8.83 years (17.65 years cumulative), it reached five crores. At 16% CAGR, this would take about 21 years.The higher return rate compresses the timeline, making growth feel almost exponential. By the time 16% CAGR makes our wealth reach 5 crore (20 Years), in the same time 20% CAGR will make it 10 crores.This is the impact of just 4% differential returns.The power of compounding becomes more visible at higher rates of return. As the base grows larger, even small increases in the CAGR have a profound impact. What took 10 years in the early stages now happens in 3-4 years, with wealth doubling at an incredible pace. The acceleration of growth with a 20% CAGR highlights why achieving a higher rate of return—even slightly—can significantly change the investment outcome, especially over the long term.4. Why Wealth Grows Faster After Rs. 1 CroreWealth grows faster after reaching Rs. 1 crore because of the larger base involved in compounding.In the early years, compounding may seem slow as the returns on smaller amounts are limited. For example, a 16% return on Rs. 20 lakhs adds Rs. 3.2 lakhs in the first year. However, once the corpus reaches Rs. 1 crore, the same 16% return generates Rs. 16 lakhs in a single year—five times the initial gain.This larger base accelerates the compounding effect. As the corpus grows, the returns themselves start to compound more dramatically. For instance, at Rs. 2 crores, a 16% return yields Rs. 32 lakhs. This exponential growth happens because compounding works on both the principal and the accumulated returns. The larger the base, the faster the wealth multiplies.This is why, after Rs. 1 crore, the time it takes to double the corpus shrinks considerably. The larger corpus does most of the heavy lifting, allowing wealth to grow more significantly with each passing year.This effect becomes more pronounced as the base continues to expand, leading to rapid, almost explosive, growth in the later stages of long-term investing.5. The Case for Assuming Lower CAGR Over Long PeriodsAssuming a lower CAGR (below 16%) over long time periods of 20-30 years is a more realistic approach to wealth planning.While high returns may occur in shorter bursts, sustaining such performance for decades is challenging due to market volatility, economic downturns, and industry-specific cycles. Over extended periods, the stock market tends to reflect broader economic realities, which include periods of slow growth, inflationary pressures, or even recessions.By assuming a lower rate of return, such as 16% or less, investors can better prepare for these fluctuations. This conservative estimate accounts for potential setbacks and reduces the risk of overestimating future gains. It also builds a margin of safety into wealth projections, making financial planning more reliable.Long-term wealth creation hinges not just on achieving high returns but on consistency and patience.While compounding works its magic, market corrections and slowdowns are inevitable. Assuming a lower CAGR helps in setting realistic expectations and ensures that the financial goals remain achievable even in less favorable conditions.ConclusionReaching Rs. 1 crore is a significant milestone. But the real magic lies in what happens after.Compounding is a slow process in the beginning, testing our patience. However, once we cross that initial hurdle, the acceleration in wealth creation is remarkable. This shift in momentum isn’t just about numbers, it reflects how small consistent efforts can lead to extraordinary results over time.Many people feel discouraged by the slow progress in the early years. But this is when persistence matters most. Our investing philosophy should be like a Bamboo tree. We must learn from it, how it grows.Bamboo appears to grow slowly at first. It is because it spends a significant amount of energy developing a robust underground rhizome system. This is all happening below the earth’s surface, before sending up visible shoots. As the shoots starts becoming visible, it then rapidly elongate to their full height within a short period. It gives the impression of fast growth once the shoot emerges. Essentially, the majority of its growth happens below ground initially, leading to a seemingly delayed initial growth phase.This is how our wealth accelerates after reaching one crore. The first crore is just the first shoot visible above the soil. We shall not cut our tree at that stage. Let it say as its growth potential has still not been discovered.Wealth generation is not just about making smart investments but staying the course, even when the growth seems modest.For those just starting their wealth-building journey, the takeaway is simple: focus on reaching your first crore. Once you do, the exponential growth will take care of itself.Have a happy investing.Suggested Reading:

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