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.

The tried-and-true retirement investing approach of yesterday doesn't work today.

Years ago, investors at or close to retirement could put money into fixed-income assets and depend on appealing yields to generate consistent, solid pay streams to fund a comfortable retirement. 10-year Treasury bond rates in the late 1990s floated around 6.50%, but unfortunately, those days of being able to exclusively rely on Treasury yields to fund retirement income are over.

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

Dividend-paying stocks from low-risk, high-quality companies are a smart way to generate steady and reliable attractive income streams to replace low risk, low yielding Treasury and bond options.

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.

American Assets Trust (AAT Quick QuoteAAT - Free Report)

is currently shelling out a dividend of $0.34 per share, with a dividend yield of 4.82%. This compares to the REIT and Equity Trust - Retail industry's yield of 3.85% and the S&P 500's yield of 1.51%. The company's annualized dividend growth in the past year was 1.52%. Check American Assets Trust dividend history here>>>

Banco Latinoamericano (BLX Quick QuoteBLX - Free Report)

is paying out a dividend of $0.5 per share at the moment, with a dividend yield of 6.17% compared to the Banks - Foreign industry's yield of 3.86% and the S&P 500's yield. The annualized dividend growth of the company was 100% over the past year. Check Banco Latinoamericano dividend history here>>>

Currently paying a dividend of $0.27 per share,

NiSource (NI Quick QuoteNI - Free Report)

has a dividend yield of 3.02%. This is compared to the Utility - Electric Power industry's yield of 3.25% and the S&P 500's current yield. Annualized dividend growth for the company in the past year was 6%. Check NiSource dividend history here>>>

But aren't stocks generally more risky than bonds?

Overall, that is true. But stocks are a broad class, and you can reduce the risks significantly by selecting high-quality dividend stocks that can generate regular, predictable income and can also decrease the volatility of your portfolio compared to the overall 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

Seeking steady, consistent income through dividends can be a smart option for financial security in retirement, whether you invest in mutual funds, ETFs, or in dividend-paying stocks.