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.

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

For example, 10-year Treasury bonds in the late 1990s offered a yield of around 6.50%, which translated to an income source you could count on. However, today's yield is much lower and probably not a viable return option to fund typical retirements.

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.

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'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

As we see it, dividend-paying stocks from generally low-risk, top notch companies are a brilliant way to create steady and solid income streams to supplant low risk, low yielding Treasury and fixed-income alternatives.

Look for stocks that have paid steady, increasing dividends for years (or decades), and have not cut their dividends even during recessions.

Going beyond those familiar names, you can find excellent dividend-paying stocks by following a few guidelines. Look for companies that pay a dividend yield of around 3%, with positive annual dividend growth. The growth rate is key to help combat the effects of inflation.

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

First American Financial (FAF Quick QuoteFAF - Free Report) is currently shelling out a dividend of $0.61 per share, with a dividend yield of 3.06%. This compares to the Insurance - Property and Casualty industry's yield of 0.85% and the S&P 500's yield of 1.42%. The company's annualized dividend growth in the past year was 1.89%. Check First American Financial dividend history here>>>

MDU Resources (MDU) is paying out a dividend of $0.15 per share at the moment, with a dividend yield of 3.10% compared to the Utility - Gas Distribution industry's yield of 3.1% and the S&P 500's yield. The annualized dividend growth of the company was 4% over the past year. Check MDU Resources dividend history here>>>

Currently paying a dividend of $0.32 per share, Norwood Financial Corp. (NWFL) has a dividend yield of 3.64%. This is compared to the Banks - Northeast industry's yield of 1.77% and the S&P 500's current yield. Annualized dividend growth for the company in the past year was 3.33%. Check Norwood Financial Corp. 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.

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

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.