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.

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.

That means if you had $1 million in 10-year Treasuries, the difference in yield between 1999 and today is more than $1 million.

Today's retirees are getting hit hard by reduced bond yields-and the Social Security picture isn't too rosy either. Right now and for the near future, Social Security benefits are still being paid, but it has been estimated that the Social Security funds will be depleted as soon as 2035.

How can you avoid dipping into your principal when the investments you counted on in retirement aren't producing income? You can only cut your expenses so far, and the only other option is to find a different investment vehicle to generate income.

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 way to identify suitable candidates is to look for stocks with an average dividend yield of 3%, and positive average annual dividend growth. Many stocks increase dividends over time, helping to offset the effects of inflation.

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

Banco Bilbao (BBVA Quick QuoteBBVA - Free Report) is currently shelling out a dividend of $0.30 per share, with a dividend yield of 3.93%. This compares to the Banks - Foreign industry's yield of 3% and the S&P 500's yield of 1.48%. The company's annualized dividend growth in the past year was 9.66%. Check Banco Bilbao dividend history here>>>

Bank OZK (OZK) is paying out a dividend of $0.45 per share at the moment, with a dividend yield of 3.38% compared to the Banks - Northeast industry's yield of 2.21% and the S&P 500's yield. The annualized dividend growth of the company was 10.26% over the past year. Check Bank OZK dividend history here>>>

Currently paying a dividend of $0.30 per share, TIM S.A. Sponsored ADR (TIMB) has a dividend yield of 4.35%. This is compared to the Wireless Non-US industry's yield of 1.84% and the S&P 500's current yield. Annualized dividend growth for the company in the past year was 126.36%. Check TIM S.A. Sponsored ADR 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.

An advantage of owning dividend stocks for your retirement nest egg is that numerous companies, particularly blue chip stocks, raise their dividends over time, helping alleviate the impact of inflation on your potential retirement income.

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.