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Visualized: How Long Does it Take to Double Your Money?

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Visualized: How Long Does it Take to Double Your Money?

Visualized: How Long Does it Take to Double Your Money?

Visualized: How Long Does it Take to Double Your Money?

At first glance, a 7% return on your investment may not seem that impressive. Yet what if you heard that your money could double in roughly 10 years?

The above graphic takes the rule of 72 shortcut and uses the more precise logarithmic formula to show how long it takes to grow your money at different annualized returns.

Why it Pays to Know the Math

Using the classic rule of 72, an investor can estimate how long it takes to double their money. At 7% annual returns, an investor would see $10,000 grow to $20,000 in about a decade by taking 72 and dividing it by 7%, the rate of return.

While the rule of 72 serves as a guide to estimating when your money will double, the more accurate way to arrive at this number is through a logarithmic equation.

In short, it divides the natural log of 2 by the natural log of 1 and adds this to the rate of return. We can see in the table below how leads to different results from the rule of 72:

Rate of Return Rule of 72
# of Years to Double Money
Logarithmic Formula
# of Years to Double Money
2%36.035.0
3%24.023.5
4%18.017.7
5%14.414.2
6%12.011.9
7%10.310.2
8%9.09.0
9%8.08.0
10%7.27.3
11%6.66.6
12%6.06.1
13%5.55.7
14%5.15.3
15%4.85.0
16%4.54.7
17%4.24.4
18%4.04.2
19%3.84.0
20%3.63.8

Consider if an investor put their money in the S&P 500. Historically, it has averaged 11.5% returns between 1928 and 2022. In 6.4 years, their money would double, assuming these average returns.

If they were to put this money in a savings account, where the average savings rate is 0.6%, it would take 120 more years for their money to reach this potential.

In real terms, which takes inflation into account, an investor would see their money lose value if they parked it in a savings account. Historically, inflation has averaged 3.3% over the last century.

Historical Asset Returns

Here’s how often different assets double, based on historical returns between 1928 and 2022:

Asset Average Annual Return
1928-2022
# of Years to
Double Money
End Value of $100 Invested
1928-2022
3-Month T Bill+3.32%21.22$2,140.51
Real Estate+4.42%16.03$5,121.52
U.S. T Bond+4.87%14.58$7,006.75
Gold+6.48%11.04$8,866.76
Corporate Bonds*+6.96%10.30$46,379.53
S&P 500**+11.51%6.36$624,534.55

Source: NYU Stern. *Represents Baa corporate bonds, which are considered investment grade. **Includes reinvested dividends.

We can see that 3-month T-Bills, often considered among the safest assets, doubled about every 21 years. Often, investors consider this a place to put cash that is low-risk and highly liquid.

Interestingly, real estate assets had returns of 4.4%, doubling roughly every 16 years. Between 1928 and 2022, the value of $100 invested in real estate assets would be worth $5,121.52. By contrast, the value of $100 invested in the S&P 500, including reinvested dividends, would have reached over $624,000.

Data from NYU Stern shows that the S&P 500 has doubled about 10 times since 1949—through recessions and bull markets—illustrating the power of investing over the long run.

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Markets in a Minute

The $109 Trillion Global Stock Market in One Chart

We show the entire global stock market in 2023, illustrating the dominance of U.S. markets. But as structural dynamics shift, will this last?

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The $109 Trillion Global Stock Market

The $109 Trillion Global Stock Market in One Chart

Global equity markets have nearly tripled in size since 2003, climbing to $109 trillion in total market capitalization.

Over the last several decades, the growth in money supply and ultra-low interest rates have underpinned rising asset values across economies.

Given this backdrop, the above graphic shows the size of the global stock market in 2023, based on data from the World Federation of Exchanges (WFE) and the Securities Industry and Financial Markets Association (SIFMA).

The Global Stock Market, by Share

With the world’s deepest capital markets, the U.S. makes up 42.5% of global equity market capitalization, outpacing the next closest economy, the European Union by a significant margin.

Here are the world’s major equity markets based on global market cap share as of Q2 2023:

Country / RegionMarket CapShare (%)
🇺🇸 U.S.$46.2T42.5%
🇪🇺 EU$12.1T11.1%
🇨🇳 China$11.5T10.6%
🇯🇵 Japan$5.8T5.4%
🇭🇰 Hong Kong$4.3T4.0%
🇬🇧 UK$3.2T2.9%
🇨🇦 Canada$3.0T2.7%
🇦🇺 Australia$1.7T1.5%
🇸🇬 Singapore$0.6T0.6%
🌏 Rest of Developed Markets$10.2T9.4%
🌍 Rest of Emerging Markets$10.0T9.2%
Global Total$108.6T100.0%

Data as of Q2 2023. Numbers may not total 100 due to rounding..

Today, U.S. equity markets total over $46.2 trillion in market capitalization.

Compared to other rich nations, U.S. stocks have often outperformed over the last several decades. If an investor put $100 in the S&P 500 in 1990 this investment would have grown to about $2,000 in 2023, or four-fold the returns seen in other developed countries.

The second-largest equity market is the European Union at 11.1% of global share, followed by China, at 10.6%.

In the last 20 years, China’s economy has increased by roughly 12-fold, reaching $19.4 trillion this year. China’s equity markets have also grown considerably, fueled by the incorporation of Chinese domestic stocks into the MSCI Emerging Market Index in 2018, and earlier, with the internationalization of its equity markets in 2002.

Japan’s equity markets account for 5.4% of the global share, followed by Hong Kong, at 4%.

The Future Investment Landscape

Goldman Sachs projects that U.S. equity market capitalization will fall to 35% of the overall global market by 2030.

Meanwhile, emerging markets, including China and India, are collectively forecast to reach the 35% mark in the same timeframe. By 2050, the EM share is anticipated to far surpass the U.S., rising to 47% of global stock markets.

Country / RegionGlobal Equity Market Share 2030Global Equity Market Share 2050
🇺🇸 U.S.34.7%26.9%
🇪🇺 Euro Area8.3%7.9%
🇨🇳 China14.1%15.0%
🇮🇳 India4.1%8.3%
🌏 Rest of Developed Markets21.5%17.8%
🌍 Rest of Emerging Markets17.4%24.1%

Numbers may not total 100 due to rounding.

The first factor underscoring this shift is the rapid growth projected for emerging economies.

Historically, as GDP per capita grows, capital markets in an economy become more sophisticated. We can see this in richer countries, which tend to have higher equitization of their markets.

India is projected to rise the fastest globally. By 2030, it is projected to account for 4.1% of global equity market cap. Furthermore, by 2050, this share is projected to outrank the euro area due to strong GDP per capita growth and demographic drivers.

The second factor, although to a lesser extent, is emerging market rising valuation multiples driven by higher GDP per capita. Richer countries, as seen in the U.S., often trade at higher earnings multiples because they are viewed to have lower risk.

Implications for Investors

What does this mean from an investment standpoint?

While the U.S. has outperformed in recent decades, it may not mean that it will continue on this trend, according to Goldman Sachs. Given the structural shifts stemming from growing populations and GDP growth, investors may consider diversifying their portfolios geographically looking ahead.

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Charted: Market Volatility at its Lowest Point Since 2020

In 2023, market volatility has fallen dramatically. In this graphic, we show how it compares to historical trends.

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Market Volatility at its Lowest Point Since 2020

Market volatility has been remarkably low in 2023, apart from the brief shock following the failure of Silicon Valley Bank earlier this year.

In fact, the CBOE Volatility Index (VIX)—a primary gauge for measuring U.S. equity volatility—has fallen to lows not seen since before the pandemic.

This graphic shows how today’s market volatility compares to the last two decades, and the factors that may explain its steadiness, based on data from CBOE.

How is Market Volatility Measured?

The most widely used index to track market volatility is the VIX.

In short, it measures the market’s expectation for price changes in the S&P 500. When investor uncertainty is high, the VIX spikes. For this reason, it serves as a barometer of fear in the market and often has a negative correlation to returns. For instance, when the VIX hit a peak on March 16, 2020, the S&P 500 fell 12% in one day.

Market Volatility: All-Time Highs and Lows

To put today’s market volatility in context, here are the market’s peak periods of volatility, through highs and lows:

DateVIX All-Time HighsS&P 500 Daily % Change
Mar 16, 202082.7-12.0%
Nov 20, 200880.9-6.7%
Oct 27, 200880.1-3.2%
Oct 24, 200879.1-3.5%
Mar 3, 202076.5-2.8%

We can see in the above chart that the VIX skyrocketed in 2020 and 2008 at the height of recession fears.

By contrast market volatility hit all-time lows during 2017, when corporate profitability was high and the S&P 500 was in the middle of the second-longest bull run in history:

DateVIX All-Time LowsS&P 500 Daily % Change
Nov 3, 20179.1+0.3%
Jan 3, 20189.2+0.6%
Oct 5, 20179.2+0.6%
Jan 4, 20189.2+0.4%
Jan 5, 20189.2+0.7%

When investors have muted reactions to the market’s outlook, often market volatility is lower—reflecting mixed reactions to the market instead of a unanimous, surprise reaction to economic data or other factors that could sway investor behavior.

2023’s Volatility in Context

In September, the VIX declined to 12.8, the lowest point since January 2020. Since then, it has hovered near these levels as investors scale back recession fears, and factor in the likelihood of the U.S. economy achieving a soft landing. To date, the S&P 500 is up almost 17%.

Many factors are influencing the market’s relative calmness. Inflation has been moderating, falling at 3.7% in August, down from a peak of 9.1% seen in June last year.

Labor market strength has also played a key role. The unemployment rate hovers near five-decade lows, and wage growth remains above historical averages at 4.3% annually as of August.

Despite 11 interest rate hikes since March 2022, consumer spending remains strong, although savings have declined considerably over the year. Household spending makes up roughly two-thirds of U.S. GDP, a key driver of economic output.

Together, these factors, among others, are influencing investor sentiment. Some may argue that investors are complacent as economic data could be weakening, but so far the resilience of the economy is supporting lower market volatility.

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