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.

Your parents' retirement investing plan won't cut it today.

In the past, investors going into retirement could invest in bonds and count on attractive yields to produce steady, reliable income streams to fund a predictable retirement. 10-year Treasury bond rates in the late 1990s hovered around 6.50%, whereas the current rate is much lower.

The impact of this rate decline is sizable: over 20 years, the difference in yield for a $1 million investment in 10-year Treasuries is more than $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

We feel that these dividend-paying equities - as long as they are from high-quality, low-risk issuers - can give retirement investors a smart option to replace low-yielding Treasury bonds (or other bonds).

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.

Akzo Nobel NV (AKZOY Quick QuoteAKZOY - Free Report)

is currently shelling out a dividend of $0.44 per share, with a dividend yield of 4.02%. This compares to the Chemical - Diversified industry's yield of 2.05% and the S&P 500's yield of 1.62%. The company's annualized dividend growth in the past year was 0.94%. Check Akzo Nobel NV dividend history here>>>

Community Financial System (CBU Quick QuoteCBU - Free Report)

is paying out a dividend of $0.46 per share at the moment, with a dividend yield of 3.3% compared to the Financial - Miscellaneous Services industry's yield of 0% and the S&P 500's yield. The annualized dividend growth of the company was 2.22% over the past year. Check Community Financial System dividend history here>>>

Currently paying a dividend of $0.24 per share,

First Financial Bancorp (FFBC Quick QuoteFFBC - Free Report)

has a dividend yield of 4.04%. This is compared to the Banks - Midwest industry's yield of 2.66% and the S&P 500's current yield. Annualized dividend growth for the company in the past year was 4.35%. Check First Financial Bancorp dividend history here>>>

But aren't stocks generally more risky than bonds?

Yes, that's true. As a broad category, bonds carry less risk than stocks. However, the stocks we are talking about - dividend -paying stocks from high-quality companies - can generate income over time and also mitigate the overall volatility of your portfolio compared to the stock market as a whole.

An upside to adding dividend stocks to your retirement portfolio: they can help lessen the effects of inflation, since many dividend-paying companies (especially blue chip stocks) generally increase their dividends over time.

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.