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

And unfortunately, even retirees who have built a nest egg have good reason to be concerned-with the traditional approaches to retirement planning, income may no longer cover expenses. That means retirees are dipping into principal to make ends meet, setting up a race against time between dwindling investment balances and longer lifespans.

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

While this yield reduction may not seem drastic, it adds up: for a $1 million investment in 10-year Treasuries, the rate drop means a difference in yield of 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.

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.

MDU Resources (MDU Quick QuoteMDU - Free Report) is currently shelling out a dividend of $0.15 per share, with a dividend yield of 3.01%. This compares to the Utility - Gas Distribution industry's yield of 3.01% and the S&P 500's yield of 1.42%. The company's annualized dividend growth in the past year was 4%. Check MDU Resources dividend history here>>>

Sunstone Hotel Investors (SHO) is paying out a dividend of $0.09 per share at the moment, with a dividend yield of 3.28% compared to the REIT and Equity Trust - Other industry's yield of 4.2% and the S&P 500's yield. The annualized dividend growth of the company was 20% over the past year. Check Sunstone Hotel Investors dividend history here>>>

Currently paying a dividend of $0.66 per share, Sempra (SRE) has a dividend yield of 3.13%. This is compared to the Alternative Energy - Other industry's yield of 0% and the S&P 500's current yield. Annualized dividend growth for the company in the past year was 4.03%. Check Sempra 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 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 interested in investing in dividends, but are thinking about mutual funds or ETFs rather than stocks, beware of fees. Mutual funds and specialized ETFs may carry high fees, which could lower the overall gains you earn from dividends, undercutting your dividend income strategy. Be sure to look for funds with low fees if you decide on this approach.

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.