skipyoutube
Library

Search or browse

From Ben Felix

The Arithmetic of Ambition: Why Leverage Beats Concentration

For aggressive investors, borrowing to invest in a diversified portfolio offers a more reliable path to higher returns than picking risky stocks.

Concentration vs. Leverage

When an investor decides that a 100% equity allocation is insufficient for their goals, they generally have two paths to increase expected returns: reducing diversification or employing leverage. The first path involves concentration—shunning the total market to bet on a handful of small, cheap, or 'value' stocks. While value stocks historically offer higher expected returns because the market prices them as risky, this approach introduces uncompensated risk. By betting on a few companies, the investor loses the reliability of a broad index, making their financial outcome dependent on the idiosyncratic fate of a small group of firms.

A more theoretically sound approach is to maintain a well-diversified portfolio and increase exposure through leverage. Research, including a 2012 paper from AQR, suggests that investors often choose concentration over leverage simply because it feels less 'taboo.' However, leveraging a diversified basket of assets—including market risk, small-cap, and value premiums—actually leads to a better expected risk-adjusted outcome. Leverage allows you to scale up a high-quality, diversified strategy rather than degrading the quality of the strategy to chase returns.

The Case for Lifecycle Diversification

The most compelling argument for leverage is rooted in 'time diversification.' As professors Ian Ayres and Barry Nalebuff have argued, young investors are often under-exposed to the stock market relative to their total lifetime wealth. When you are twenty-five, your 'human capital'—the present value of all your future earnings—is vast, but your liquid savings are minuscule. Even a 100% equity allocation on a $5,000 portfolio provides negligible exposure to the market's long-term growth.

By borrowing to invest early in life, a young person can smooth out their market exposure over their entire career. While the risk of a total wipeout of current savings exists, the present value of future savings remains intact. Simulations show that investors who use leverage when young and gradually deleverage as they age tend to achieve substantially higher minimum returns than those who follow traditional lifecycle investing. In this context, leverage isn't just a tool for greed; it is a tool for responsible wealth distribution across time.

The Mechanics of Borrowing

The efficacy of leverage is inextricably linked to the cost of debt. If a portfolio returns 10% but the cost of borrowing is also 10%, the investor has assumed massive risk for zero gain. In the Canadian context, the most cost-effective way to leverage is often through a home equity line of credit (HELOC) or a mortgage. Because these loans are secured by real estate, lenders offer lower interest rates. However, investors must be wary: a HELOC is a callable loan. A bank can change terms or demand repayment at the exact moment the market crashes and your portfolio value is at its nadir.

Margin loans, which are secured against the securities in a brokerage account, offer another route. While the interest rates are generally higher than a HELOC, they are lower than unsecured debt. The danger here is the 'margin call.' If the value of your investments drops below a certain threshold, the broker will demand immediate cash or sell your positions at the bottom of the market to cover the loan. This can create a catastrophic downward spiral, turning a temporary market dip into a permanent loss of capital.

The Hidden Costs of Leveraged ETFs

For those who cannot access cheap debt, leveraged ETFs appear to be a convenient alternative. These products use derivatives to provide two or three times the daily return of an index like the S&P 500. However, these funds are designed for short-term trading, not long-term holding. Because they reset their leverage daily, they are forced to 'buy high and sell low' to maintain their target ratio. In a volatile market that swings sideways, this constant rebalancing leads to 'volatility decay' or time decay.

If an index is volatile, a leveraged ETF will almost certainly underperform the simple multiple of the index's long-term return. Furthermore, research suggests that the 'embedded leverage' in these products is priced in, resulting in lower expected returns compared to direct borrowing. When you add in high expense ratios—often ten times higher than standard index funds—the hurdle for success becomes significantly higher. For the long-term investor, the convenience of a leveraged ETF often comes at the expense of the very returns they are trying to capture.

The Behavioral Threshold

Ultimately, the greatest risk of leverage is not mathematical, but behavioral. Most investors struggle to maintain a 100% equity portfolio during a bear market; adding leverage amplifies that psychological pressure. A 20% market correction, which is a standard occurrence in equity markets, becomes a 40% or 60% loss when leveraged. This can lead to panic selling, which is the ultimate destroyer of wealth.

Leverage is a powerful tool that can optimize a lifetime of investing, but it requires a level of discipline that few possess. It demands a clear understanding of borrowing costs, an awareness of the structural flaws in leveraged products, and the stomach to stay the course when the numbers on the screen turn deeply red. If you choose to apply leverage, do so with the understanding that you are not just amplifying your returns—you are amplifying every mistake you might make.

Your bookshelf

Recent queries

Essays you generated from recent queries in this browser will appear here.