Be Friends with Time, Experience the Magic of Compounding

Albert Einstein once said that we live in a world of space and time. This perspective is particularly apt in the realm of investing, mainly when we discuss index investing. In investing in index funds, we seek a balance of returns, risks, and costs in space and experience the magic of compounding in the flow of time.

 

The four dimensions of the investment world—returns, risk, cost, and time—are interconnected in complex and subtle ways. A wise investor cannot afford to overlook any of these dimensions. Among them, time may be the most worthy of consideration.

 

What is Compound Interest?

 

In the 17th century, a Dutchman named Peter exchanged textiles and trinkets worth 60 Dutch guilders (equivalent to $24) with Native Americans for Manhattan Island. Today, Manhattan stands as one of the world's busiest commercial hubs. By estimates from 2000, Manhattan was valued at $2.5 trillion. From $24 to $2.5 trillion, Peter's deal might seem like an unbeatable profit. However, had Peter invested that $24 in 1626, by the year 2000—after more than 300 years—with an annual return rate of 9% (the average return of the U.S. stock market over the past century), that $24 would have astonishingly grown to $2386 trilliant, almost 1000 times the value of Manhattan Island in 2000!

 

The secret behind transforming $24 into over $20 trillion lies in compound interest. There are generally two types of interest calculations: simple and compound. Simple interest is straightforward—the principal remains fixed, and the interest is settled in a lump sum. Compound interest, on the other hand, is interest on interest; it calculates interest not only on the initial principal but also on the accumulated interest from previous periods. This might sound ordinary, but as you can see from this example, the power of compound interest far exceeds what one might imagine.

 

There are many similar examples, and you might wonder why compound interest possesses such magical power. This mathematical concept, geometric progression, is closely related to what we often call 'doubling.' For instance, 2 squared is 4, 2 cubed is 8, and 2 to the fourth power is 16, reaching 128 by the seventh power. This type of growth is quite similar to nuclear fusion in atomic nuclei, capable of releasing immense energy. For example, the energy released from the fusion of deuterium extracted from one liter of seawater is equivalent to the energy released by burning 300 liters of gasoline. Similarly, the wealth growth created by compound interest also has the potential of nuclear fusion.

 

Time: An Essential Dimension of Compound Interest

 

What should an overweight person do to achieve a healthy physique? Crash dieting? Liposuction? A better answer would be to exercise for half an hour daily.

 

What should one do to achieve substantial long-term gains? Gamble everything in one go, or constantly trade in and out? Instead, we should trust in the power of compound interest. The close relationship between time and returns is often described as "the magic of compound interest." The longer the duration, the greater the effect of compound interest on converting an initial investment or a series of moderate annual investments into their final value.

 

How enchanting is the magic of compound interest? Warren Buffett said, "Life is like a snowball; the most important thing is finding wet snow and a long hill." The wet snow represents compound interest: the long hill, time. Compounding interest is time's best gift.

 

Index funds are passive investments that fundamentally adhere to market indices rather than trying to outperform them. This means that investors do not need to monitor short-term market fluctuations constantly but can instead commit their funds to the market long-term, enjoying the benefits of its growth. This investment strategy aligns perfectly with the principles of compound interest.

 

Where does compound interest come from? Time is an unavoidable dimension.

 

Speculators rush; investors remain calm. Conservative investors view investing as making the right decisions and then letting time do the rest. They believe that time is the fairest friend.

 

Allowing time to work is known as "maintaining patience." This can be divided into two scenarios: patiently waiting for the right opportunity before investing and holding onto investments patiently after making them. Combined, these actions will likely result in a successful investment over time.

 

The major pitfalls in investing are also closely tied to time: first, buying inferior assets that cannot withstand the test of time; second, selling quality assets that can. The common trait in these mistakes is a misjudgment in timing.

 

Thus, sufficient patience is required to appreciate the allure of compound interest and index funds truly. Investing is not a sprint but a marathon. This patience requires trust in the market and a commitment to one's investment philosophy.

 

As the final line in 'The Count of Monte Cristo' puts it: 'All human wisdom is summed up in these two words—wait and hope!'"

 

How to Utilize Compound Interest

 

Although many people are familiar with compound interest, they often don't know how to apply it in real-world scenarios. Let me give you a few examples to help you develop a more intuitive understanding. Suppose there's a ten-year bond with an annual interest rate of 8%. You can choose how the interest is paid: annually or quarterly, both calculated using compound interest. Which would you choose? Think about it using your knowledge of compound interest. The latter option, where interest is compounded quarterly, is like rolling a snowball—the more often you roll it, the better, under a constant interest rate. If you roll it once a year, the actual annual interest rate remains 8%. If it rolls four times a year, the quarterly rate is 2% (8%/4=2%), and the actual yearly rate becomes 8.24% ((1+2%)^4-1=8.24%).

 

This idea of compound interest also frequently appears in the business world. For instance, when examining a company's financial statements, the capital turnover rate is one key factor. For businesses of the same size and profit, if the capital turns over faster, it's akin to the snowball rolling more quickly in our previous example. Given the same conditions, the quicker the snowball rolls, the better the company's final profit margin. Additionally, many popular online clothing stores now adopt a made-to-order model. Why? They start production only after receiving your order, which prevents funds from being tied up, fundamentally speeding up the capital turnover. Therefore, although compound interest is a standard financial concept, it also has significant applications in management and marketing.

 

In summary, you must give it decades to enjoy the magic compound interest you can offer.