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.

In today's economic environment, traditional income investments are not working.

For many years, bonds or other fixed-income assets could produce the yield needed to provide solid income for retirement needs. However, these yields have dwindled over time: 10-year Treasury bond rates in the late 1990s were around 6.50%, but today, that rate is a thing of the past, with a slim likelihood of rates making a comeback in the foreseeable future.

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 can retirees do? You could dramatically reduce your expenses, and go out on a limb hoping your Social Security benefits don't diminish. On the other hand, you could opt for an alternative investment that gives a steady, higher-rate income stream to supplant lessening 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.

DiamondRock Hospitality (DRH Quick QuoteDRH - Free Report) is currently shelling out a dividend of $0.12 per share, with a dividend yield of 3.60%. This compares to the REIT and Equity Trust - Other industry's yield of 4.45% and the S&P 500's yield of 1.45%. The company's annualized dividend growth in the past year was 166.67%. Check DiamondRock Hospitality dividend history here>>>

DTE Energy (DTE) is paying out a dividend of $1.17 per share at the moment, with a dividend yield of 3.27% compared to the Utility - Electric Power industry's yield of 3.08% and the S&P 500's yield. The annualized dividend growth of the company was 6.86% over the past year. Check DTE Energy dividend history here>>>

Currently paying a dividend of $0.12 per share, Stag Industrial (STAG) has a dividend yield of 3.81%. This is compared to the REIT and Equity Trust - Other industry's yield of 4.45% and the S&P 500's current yield. Annualized dividend growth for the company in the past year was 0.68%. Check Stag Industrial dividend history here>>>

But aren't stocks generally more risky than bonds?

It is true that stocks, as an asset class, carry more risk than bonds, but high-quality dividend stocks not only have the ability to produce income growth over time but more importantly, can also reduce your overall portfolio volatility relative 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.

If you're thinking, "I want to invest in a dividend-focused ETF or mutual fund," make sure to do your homework. It's important to know that some mutual funds and specialized ETFs charge high fees, which may diminish your dividend gains or income and thwart the overall objective of this investment strategy. If you do want to invest in fund, research well to identify the best-quality dividend funds with the least charges.

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.