Here’s a Different Way to Think About Stock Diversification
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Here’s a Different Way to Think About Stock Diversification

Everybody knows to spread money across many investments. Fewer think about diversifying over time.

By IAN AYRES
Mon, Oct 10, 2022 9:08amGrey Clock 5 min

Investors often think of diversification as a free lunch—it allows them to maintain returns while reducing risk. But most people only get part of diversification right, and that can hurt them later in life.

With traditional diversification, people spread money around different kinds of investments to mitigate risk. That approach misses a key opportunity: “diversifying” how you invest over time.

Most people start investing with a small amount of money, because that is all they can afford, and ramp it up as their earnings grow. But investing so much later in life unnecessarily puts people at greater risk when they are close to retirement. They end up with far greater exposure to stock-market risk in their 50s and 60s than in their 20s and 30s, even if they are buying diversified mutual funds.

We propose a different method: People ought to borrow money to make their initial investments larger, so that they can invest closer to the same amount every year over their lifetime. Think of investing $2 a decade steadily for three decades, instead of $1 for the first, $2 for the next and $3 for the third.

The overall amount they invest stays the same—$2 of average market exposure—but when it is a steady amount, instead of an increasing one, the market exposure is larger than otherwise earlier on ($2 versus $1) and then smaller than otherwise in later life ($2 versus $3).

Steady dollars

Both choices—investing $2 each decade instead of $1, $2 and $3—provide the same expected return, since they both have $6 accumulated market exposure over time. But risks associated with the two strategies are different: Our time-diversified path brings lower variance in returns than one with increasing investments.

When investment exposure varies over time, the market’s ups and downs don’t balance out as well. With 2/2/2, an up in the first decade balances out with a down in the third, and vice versa. But with 1/2/3, an up in the first decade is dominated by a down in the third, and a down in the first decade is also dominated by an up in the third. Consequently, the 1/2/3 investment pattern leads to larger swings in lifetime accumulations. The 1/2/3 strategy has too little dependence on the first decade’s stock return and too much on the third. By comparison, the 2/2/2 approach is evenly spread out and thus better diversified.

People might think they can’t follow a 2/2/2 type of strategy because they haven’t saved enough when young: They can’t invest $2 because they only have $1. But that’s not true. Using leverage—that is, borrowing money to buy stocks—people can use $1 of capital to borrow another $1 and thereby get $2 of market exposure in their first decade.

Sound risky? Consider that young people do the same thing with housing when they borrow money to buy a house they live in for decades—and there the leverage often involves borrowing $9 for every $1 of equity. We propose borrowing only $1 for each $1 invested. Limiting ourselves to 2:1 leverage means we don’t hit a perfectly even market exposure over time, but gets us closer to that ideal.

The lessons of history

Using an initial 200% allocation—and gradually reducing the allocation to stocks over time, down to 83% at retirement age—is a winning strategy. In a 2010 book, we found that this “leveraged life cycle” approach produced superior retirement accumulation for each and every cohort retiring from 1914 to 2009. We now have more than a dozen years of post-publication returns where we can evaluate how the strategy actually worked in practice. Leveraged life-cycle returns have continued to provide superior retirement accumulation for each and every cohort through mid-2022.

Average investors using our method—assuming they invested 4% of their annual income, which rose during their careers to $100,000 in their final year of work—accumulated $1,255,000, while a traditional target-date fund investment, starting at 90% stocks and going down to 50%, produced only $675,000, and a constant 75% strategy led to $774,000.

Of course, these higher returns are partly due to more stock exposure and not to the diversifying benefits of the leveraged life-cycle strategy. To focus solely on the diversification benefits, we compared the retirement accumulations of a less-aggressive life-cycle strategy, one that again starts with 200% in stock but ramps down to 50% at retirement. We compared this to a constant 75% of savings in stocks and 25% in bonds. We chose this particular 75% allocation because it produces the same average accumulation ($774,000) across the retiring cohorts. Therefore, any difference in the strategies won’t be because one has more lifetime exposure to the stocks, which on average outperform bonds.

Comparing these two strategies shows that the leveraged life-cycle strategy decreases the standard deviation of retirement accumulation across retiring cohorts by an impressive 19%. Our more time-diversified, leveraged strategy produces higher returns for cohorts that experienced the worst stock returns (the 10th-percentile accumulation increases by 10.9% relative to the constant 75% strategy) and lower returns for cohorts that lived through the best stock returns (the 90th-percentile accumulation also decreases by 10.9% relative to the constant 75% strategy).

Producing the same average return with less risk is compelling evidence of how a leveraged life-cycle strategy can diversify market risk. Of course, ramping down to 50% instead of 83% in stocks at retirement has less market exposure and therefore lower average returns. The investor can choose: the same returns as a constant 75% exposure strategy with less risk, or the same risk but with higher expected return. Time diversification makes either possible.

Avoiding trouble

Our strategy works in theory and in practice. But there are possible objections that might hold people back.

For one, people might say that it is expensive to invest on margin. But competitive margin loans are cheaper than home mortgages (though you may need to consider online brokerages).

A second objection is that leverage is risky. But when you are more evenly exposed to market risk across time, you have less risk. Using leverage to go from 1/2/3 to 2/4/6 would be adding risk and market exposure. But a 2/2/2 strategy doesn’t.

When markets drop, those investors near retirement who have followed 1/2/3 are in trouble. If stocks fall by 25% in their last decade of investing, they would lose 25% of their $3 investment—while a 2/2/2 investor would lose just 25% of $2. That is a 50% greater loss on the $3 investment.

One objection that does have some merit is that our approach requires discipline. Some people can’t bring themselves to borrow money to buy stock or would bail out at the first downturn in the market. We would like to see target-date funds make things easier for investors by automating the process, borrowing at low cost and automatically adjusting a portfolio. People could put in money each month and forget about it.

Meantime, young investors can move to 100% equities. That isn’t 200%, but it is a step in the right direction and doesn’t require the psychological or logistical burdens of borrowing to buy. And even if this advice is coming a bit late for readers in their 50s and 60s, this is advice to pass along to the next generation. They don’t have to repeat our mistakes.

Dr. Ayres is the William Townsend professor at Yale Law School, and Dr. Nalebuff is the Milton Steinbach professor at the Yale School of Management. Together, they are the authors of “Lifecycle Investing.”



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Art can transform more than just walls—it shapes mood, evokes memory, and elevates the everyday. Discover how thoughtfully curated interiors can become living expressions of personal meaning and refined luxury, from sculptural furniture to bespoke murals.

By Ozge Fettahlioglu
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Art can transform more than just walls—it shapes mood, evokes memory, and elevates the everyday. Discover how thoughtfully curated interiors can become living expressions of personal meaning and refined luxury, from sculptural furniture to bespoke murals.

  1. Artful Abundance: The Sophisticated Joy of Artful Interiors

Imagine a hushed hospital corridor, its sterile walls awash in the glow of flickering fluorescent lights. In that unexpected moment, a solitary Monet painting emerged—a luminous tableau of delicate lilies dancing in quiet defiance.

As the clinical austerity yielded to the graceful presence of art, this single work transformed into a vessel of solace and hope amid overwhelming uncertainty.

That moment continues to resonate with me—a vivid reminder that art transcends mere aesthetics to become a profound catalyst for emotional healing and inspiration. It is this transformative experience that fuels my passion as a biophilic interior designer.

I create environments where every element, from bespoke murals to sculptural installations, harnesses art’s power to elevate the human spirit, spark creativity, and enrich lives. Let us journey together into the world of luxurious interiors that define modern elegance.

2. Art as Wellness: A Daily Ritual of Rejuvenation

At its core, art is a daily ritual that renews both mind and spirit. Scientific research consistently confirms that nature-inspired art reduces stress, lowers blood pressure, and kindles creativity.

The simple act of beholding a tranquil landscape or a subtle floral motif transforms your space into a private retreat, offering solace amidst a hectic world.

In my practice, I meticulously select artworks chosen not only for their aesthetic appeal but also for their potent, therapeutic benefits.

Each piece serves as daily inspiration—a quiet invitation to experience calm and well-being. For example, our Hilton project demonstrates how hospitality resorts integrate nature-inspired art not only for its visual impact but also as a medium of healing; here, a collaboration with a local artist produced a masterful installation that functions both as a statement piece and a source of well-being.

3. Bespoke Brilliance: Celebrating Your Unique Narrative

Luxury design is profoundly personal. Bespoke art transcends mass-produced décor by capturing your unique story—whether through a custom mural reminiscent of your favourite botanical garden or silk wallpapers that evoke the allure of exotic landscapes.

Each personalised creation turns your walls into a living narrative of cherished memories and distinctive taste. Consider how a thoughtfully designed space can reflect your individuality and elevate your living experience.

4. Sculptural Elegance: Redefining Spatial Dynamics

Art is not confined to two dimensions. Three-dimensional sculptural works bring vitality to interiors by adding depth, texture, and tactile allure.

Picture a gracefully sculpted piece—a marble table echoing the gentle rhythm of ocean waves or a repurposed bronze branch serving as an elegant room divider.

Such statement sculptures command attention while seamlessly integrating form with function and providing a natural conversation starter in any refined space.

5. Architectural Artistry: When Structure Meets Art

A truly sophisticated home elegantly merges art with architecture. Imagine a residence where bespoke staircases curve with elegance, where hand-carved wooden doors evoke the intricate beauty of nature, and where expansive windows frame breathtaking vistas.

In these spaces, every architectural detail contributes to a cohesive canvas of artistic expression. As you envision your own home, consider how your surroundings can be thoughtfully designed to reflect both beauty and purpose.

6. Furniture as Functional Art: Merging Practicality with Mastery

In luxury interiors, even the functional becomes exceptional through artful design. Consider a one-of-a-kind, hand-carved pink marble swivel chair—a masterpiece where practicality meets refined craftsmanship.

More than just a piece of furniture, this chair sparks conversation and serves as an emblem of creative innovation and exclusivity.

Let this be a symbol of how every element in your home might reflect your dedication to exquisite artistry.

7. Digital Sophistication: The Future of Artistic Expression

In an age defined by rapid technological advancement, digital art installations offer a contemporary twist on traditional forms.

High-resolution displays now present dynamic landscapes—a cascade of waterfalls, the quiet majesty of a forest, or a serene digital ocean vista—that adapt and evolve with your environment.

This modern element seamlessly aligns cutting-edge technology with timeless aesthetics, ensuring your space remains as innovative as it is elegant.

8. Luxurious Textiles and Furnishings: The Essence of Understated Elegance

Luxury is often revealed in the details: the textures, colours, and fabrics that together create a haven of understated splendour.

Bespoke silk cushions with intricate botanical embroidery, sumptuous velvet throws that evoke tropical charm, and bedding that mirrors the ethereal beauty of cloudscapes all contribute to an atmosphere of refined elegance and comfort.

Every tactile detail is chosen to evoke warmth and stand as a testament to your taste for excellence.

9. Refined Heritage: Honouring Timeless Craftsmanship

In the realm of luxury, tradition and modernity exist in perfect harmony. Integrating timeless antiques—such as a rare Vladimir Kagan couch or a coveted Hans Wegner chair—with contemporary design creates a dialogue that honours both heritage and innovation.

These storied pieces carry with them a legacy of masterful craftsmanship, adding layers of significance and depth to your living environment. They remind us that true elegance is built upon a foundation of enduring quality.

10. The Art of Personal Meaning: Crafting Your Legacy

Ultimately, art is the language through which you express your unique legacy.

Every carefully chosen piece reflects a part of your personal journey, turning your living space into a narrative as emotionally resonant as it is visually stunning.

It imbues your environment with memories, aspirations, and the essence of who you are—a living masterpiece that evolves with time.

Reflect on how these elements might not only beautify your home but also stand as timeless expressions of your personal story.

Now is the moment to immerse yourself fully in the joy of art. Elevate your surroundings and transform your residence into your greatest masterpiece.

Your heart, your legacy, and your space deserve nothing less than extraordinary artistry.

Ozge Fettahlioglu is the founder of Cocoplum | Biophilic Design Studio and Boxareno | Custom Modular Constructions. A wellness and biophilic design leader, she creates bespoke spaces that inspire, heal, and elevate daily living. Ozge is also a board member of Biophilic Cities Australia.

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