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

Also, retirees who have constructed a nest egg have valid justifications to be concerned, since the traditional ways to plan for retirement may mean income can no longer cover expenses. Some retirees are now tapping their principal to make a decent living, pressed for time between decreasing investment balances and longer life expectancies.

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 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'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

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 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.

First Bancorp (FBP Quick QuoteFBP - Free Report)

is currently shelling out a dividend of $0.18 per share, with a dividend yield of 3.08%. This compares to the Banks - Southeast industry's yield of 2.11% and the S&P 500's yield of 1.48%. The company's annualized dividend growth in the past year was 14.29%. Check First Bancorp dividend history here>>>

Northrim BanCorp (NRIM Quick QuoteNRIM - Free Report)

is paying out a dividend of $0.64 per share at the moment, with a dividend yield of 3.02% compared to the Banks - West industry's yield of 2.61% and the S&P 500's yield. The annualized dividend growth of the company was 3.33% over the past year. Check Northrim BanCorp dividend history here>>>

Currently paying a dividend of $1.6 per share,

The PNC Financial Services Group, Inc (PNC Quick QuotePNC - Free Report)

has a dividend yield of 3.17%. This is compared to the Financial - Investment Bank industry's yield of 0.48% and the S&P 500's current yield. Annualized dividend growth for the company in the past year was 3.23%. Check The PNC Financial Services Group, Inc 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.

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.