Here's an eye-opening statistic: older Americans are more afraid of running out of money than of death itself.

And older Americans have legitimate reasons for this worry, even if they have dutifully saved for their golden years. That\s because the traditional ways people manage retirement may no longer provide enough income to meet expenses- and with people generally living longer, the principal retirement savings is exhausted far too early in the retirement period.

Retirement investing approaches of the past don't work today.

For example, 10-year Treasury bonds in the late 1990s offered a yield of around 6.50%, which translated to an income source you could count on. However, today's yield is much lower and probably not a viable return option to fund typical retirements.

The effect of this drop in rates is substantial: over 20 years, the change in yield for a $1 million investment in 10-year Treasuries is over $1 million.

In addition to the considerable drop in bond yields, today's retirees are nervous about their future Social Security benefits. Because of certain demographic factors, it's been estimated that the funds that pay the Social Security benefits will run out of money in 2035.

So what's a retiree to do? You could cut your expenses to the bone, and take the risk that your Social Security checks don't shrink. Or you could find an alternative investment that provides a steady, higher-rate income stream to replace dwindling bond yields.

Invest in Dividend Stocks

As we see it, dividend-paying stocks from generally low-risk, top notch companies are a brilliant way to create steady and solid income streams to supplant low risk, low yielding Treasury and fixed-income alternatives.

Look for stocks that have paid steady, increasing dividends for years (or decades), and have not cut their dividends even during recessions.

One approach to recognizing appropriate stocks is to look for companies with an average dividend yield of 3% and positive average annual dividend growth. Numerous stocks hike dividends over time, counterbalancing inflation risks.

Here are three dividend-paying stocks retirees should consider for their nest egg portfolio.

Associated Banc-Corp (ASB Quick QuoteASB - Free Report) is currently shelling out a dividend of $0.23 per share, with a dividend yield of 3.47%. This compares to the Banks - Midwest industry's yield of 2.54% and the S&P 500's yield of 1.49%. The company's annualized dividend growth in the past year was 4.55%. Check Associated Banc-Corp dividend history here>>>

Brixmor Property (BRX) is paying out a dividend of $0.29 per share at the moment, with a dividend yield of 4.13% compared to the REIT and Equity Trust - Retail industry's yield of 3.94% and the S&P 500's yield. The annualized dividend growth of the company was 5.5% over the past year. Check Brixmor Property dividend history here>>>

Currently paying a dividend of $0.31 per share, COPT Defense (CDP) has a dividend yield of 4.22%. This is compared to the REIT and Equity Trust - Other industry's yield of 4.54% and the S&P 500's current yield. Annualized dividend growth for the company in the past year was 3.39%. Check COPT Defense dividend history here>>>

But aren't stocks generally more risky than bonds?

The fact is that stocks, as an asset class, carry more risk than bonds. To counterbalance this, invest in superior quality dividend stocks that not only can grow over time but more significantly, can also decrease your overall portfolio volatility with respect to the broader stock market.

Combating the impact of inflation is one advantage of owning these dividend-paying stocks. Here's why: many of these stable, high-quality companies increase their dividends over time, which translates to rising dividend income that offsets the effects of inflation.

Thinking about dividend-focused mutual funds or ETFs? Watch out for fees.

You may be thinking, "I like this dividend strategy, but instead of investing in individual stocks, I'm going to find a dividend-focused mutual fund or ETF." This approach can make sense, but be aware that some mutual funds and specialized ETFs carry high fees, which may reduce your dividend gains or income, and defeat the goal of this dividend investment approach. If you do wish to invest in a fund, do your research to find the best-quality dividend funds with the lowest fees.

Bottom Line

Regardless of whether you select high-quality, low-fee funds or stocks, looking for a steady stream of income from dividend-paying equities can potentially lead you to a solid and more peaceful retirement.