Is There Gender Bias in Investing?

Source: http://www.flickr.com/photos/keoni101/

We took a look at the Personal Capital user base to see if whether the oft-cited fact that women are less risk-tolerant than men holds true for our users. Our data reveal the following:

  • On our 1-5 scale of risk tolerance, women are on average 7 percent more risk-averse than men.
  • The effect of gender on risk tolerance is greater than that of any other variable.

Why is this significant? An investor’s risk tolerance is pivotal in determining an investing strategy and ultimately, a portfolio’s returns. The fact that women are more risk-averse than men means they may be systematically leaving returns on the table. We calculate that this may translate to 30 basis points (bps) per year. Over a long investing horizon, that difference could mean a woman’s portfolio is more than 10 percent smaller than a man’s.

In the following post, I first discuss our data analysis and then compare hypothetical portfolios to illustrate the opportunity loss of a lower-risk portfolio. I then discuss measures that can be taken to empower women — and men — to make better investing decisions.

Female Personal Capital users are more risk-averse

To see how risk tolerance compares among female and male Personal Capital users, we examine the data of users for whom we have both demographic information and data on risk tolerance. Demographic data include gender, age, retirement annual income range, net worth range, tax rate range, and number of years employed.

Risk tolerance is a user-defined variable on 1 to 5 scale from low to high risk. Users are prompted to select from among one of the following statements to describe their attitude toward risk:

  • Highest safety (1): “Market volatility makes me very uncomfortable. Safety is a much higher priority than growth for me, and I do not expect growth meaningfully above inflation.”
  • Conservative (2): “I am able to accept some volatility, but have difficulty stomaching meaningful fluctuations in account values. I expect long-term growth somewhat above inflation but am willing to sacrifice up to half of my potential long term return in exchange for less volatility.”
  • Moderate (3): “I am comfortable with moderate volatility consistent with a diversified portfolio that includes a significant allocation to stocks. I prefer to sacrifice some long-term return in order to reduce risk.”
  • Aggressive (4): “My primary objective is to achieve growth, and I am comfortable with typical stock market volatility. Still, I am willing to trade a small amount of growth potential to reduce risk.”
  • Highest growth (5): “I am willing to take a high degree of risk in pursuit of higher returns and am very comfortable with the volatility of a 100 percent stock portfolio.”

We begin with a simple analysis to examine difference in risk tolerance between men and women. The difference between the means of men and women is 0.36, or 7.2 percent, given our 1-5 scale. The chart below shows the results, where the bar describes mean risk tolerance with its standard error (T=5.37 in our two-sided t-test, meaning that it is statistically significant).

We then looked at gender to control for the other demographic factors that we record that may be related to risk tolerance (for results of the multivariate analysis, see table below). As it pertains to gender, the result was as follows:

  • Gender has statistically significant relationship with risk tolerance.
  • Not only is this relationship is significant in the presence of any other control variable, but the magnitude of the gender effect is larger than of any other variable.

Implication: Lower-risk portfolios may miss return opportunities

To illustrate how having 7 percent lower risk tolerance might impact returns, we can examine the hypothetical portfolios of two individuals, Mary and Brian.

Mary and Brian are both 30 and expect to retire at 68. They both earn $100,000 and have already saved $100,000 in their retirement accounts. Furthermore, they have a healthy savings rate of $10,000 per year. Given their identical situations and objectives, they can both afford to have growth-oriented portfolios.

Left on his own, Brian developed a long-term growth allocation with mostly stocks but including other asset classes to achieve moderately lower volatility. The expected return on his portfolio is 8.8 percent (based on historical returns), with a standard deviation of 13.6 percent. The chart below illustrates where Brian’s portfolio (the blue circle with a star) falls on the efficient frontier.

Now, let’s turn to Mary’s portfolio. Let’s say Mary also had an efficient portfolio with the same objectives as Brian. However, she has a lower risk tolerance and has invested in an asset mix that reflects that preference.

As we demonstrate in the chart below, the reduction in the risk level of Mary’s portfolio moves her portfolio to the left on the efficient frontier (her portfolio is represented by the blue star). A 7 percent lower risk level means a portfolio with expected returns of 8.5 percent with a standard deviation of 12.5 percent. While her portfolio is still efficient, its expected return is 30bps less than Brian’s.

30bps may not seem dramatic, but if we project Mary and Brian’s portfolios into retirement, this difference equates to nearly $50,000, or an 8 percent difference in their median expected portfolio value at retirement. If they were 20 years old (i.e., with a longer time horizon to retirement), this figure would be more than 10 percent.  The chart below illustrates this “opportunity loss.”

Conclusion

In our study, we’ve shown that female Personal Capital users have a lower risk tolerance than male Personal Capital users by 7 percent. We estimate that for two efficient portfolios, returns could be 30bps lower for the less risky portfolio. Over a long-term horizon, this differential can translate into a 10 percent-plus difference in portfolio values.

It’s true that too much risk is a bad thing, exposing an investor to unnecessary losses. It’s possible that men tend to adopt too high-risk strategies relative to their needs. However, we believe that it’s more likely that women are underestimating the appropriate risk. First, that’s because as studies have shown, as women’s knowledge and confidence increases, so does risk tolerance. This implies that women tend to have too low risk relative to what’s appropriate. Second, because women live longer, meaning longer investing time horizons, they generally should be taking more risk relative to men.

Either way, our study underscores why figuring out the right level of risk of a portfolio is so critical. Further, because there is a clear possibility of a systematic gender bias, it’s imperative for individuals and financial planners to be on guard for gender risk bias in evaluating an investor’s appropriate risk levels. Making an appropriate risk assessment is the first step for both men and women toward making better investing decisions.

This post was originally written for the Personal Capital blog. Personal Capital helps people live better financial lives by providing technology-enabled advisory services as well as free financial software and educational content. Their award-winning apps enable you to effortlessly view your entire financial life in one place.

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