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.

Years ago, investors at or close to retirement could put money into fixed-income assets and depend on appealing yields to generate consistent, solid pay streams to fund a comfortable retirement. 10-year Treasury bond rates in the late 1990s floated around 6.50%, but unfortunately, those days of being able to exclusively rely on Treasury yields to fund retirement income are over.

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'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.

Brookfield Infrastructure Partners (BIP Quick QuoteBIP - Free Report) is currently shelling out a dividend of $0.46 per share, with a dividend yield of 4.59%. This compares to the REIT and Equity Trust - Other industry's yield of 4% and the S&P 500's yield of 1.31%. The company's annualized dividend growth in the past year was 6.17%. Check Brookfield Infrastructure Partners dividend history here>>>

Devon Energy (DVN) is paying out a dividend of $0.32 per share at the moment, with a dividend yield of 3.04% compared to the Oil and Gas - Exploration and Production - United States industry's yield of 0% and the S&P 500's yield. The annualized dividend growth of the company was 9.09% over the past year. Check Devon Energy dividend history here>>>

Currently paying a dividend of $1.02 per share, EOG Resources (EOG) has a dividend yield of 3.04%. This is compared to the Oil and Gas - Exploration and Production - United States industry's yield of 0% and the S&P 500's current yield. Annualized dividend growth for the company in the past year was 7.14%. Check EOG Resources dividend history here>>>

But aren't stocks generally more risky than bonds?

It is true that stocks, as an asset class, carry more risk than bonds, but high-quality dividend stocks not only have the ability to produce income growth over time but more importantly, can also reduce your overall portfolio volatility relative to the broader stock market.

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

Seeking steady, consistent income through dividends can be a smart option for financial security in retirement, whether you invest in mutual funds, ETFs, or in dividend-paying stocks.