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.

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

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.

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.

Unfortunately, it looks like the two traditional sources of retirement income-bonds and Social Security-may not be able to adequately meet the needs of present and future retirees. But what if there was another option that could provide a steady, reliable source of income in retirement?

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 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.

Cullen/Frost Bankers (CFR Quick QuoteCFR - Free Report) is currently shelling out a dividend of $1.00 per share, with a dividend yield of 3.24%. This compares to the Banks - Southwest industry's yield of 0.88% and the S&P 500's yield of 1.51%. The company's annualized dividend growth in the past year was 8.7%. Check Cullen/Frost Bankers dividend history here>>>

Exelon (EXC) is paying out a dividend of $0.40 per share at the moment, with a dividend yield of 3.40% compared to the Utility - Electric Power industry's yield of 3.05% and the S&P 500's yield. The annualized dividend growth of the company was 5.26% over the past year. Check Exelon dividend history here>>>

Currently paying a dividend of $0.40 per share, Janus Henderson Group plc (JHG) has a dividend yield of 3.72%. This is compared to the Financial - Investment Management 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 2.56%. Check Janus Henderson Group plc 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.

If you prefer investing in funds or ETFs compared to individual stocks, you can still pursue a dividend income strategy. However, it's important to know the fees charged by each fund or ETF, which can ultimately reduce your dividend income, working against your strategy. Do your homework and make sure you know the fees charged by any fund before you invest.

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.