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.

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

That means if you had $1 million in 10-year Treasuries, the difference in yield between 1999 and today 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 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

As a replacement for low yielding Treasury bonds (and other bond options), we believe dividend-paying stocks from high quality companies offer low risk and stable, predictable income investors in retirement seek.

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.

First American Financial (FAF Quick QuoteFAF - Free Report) is currently shelling out a dividend of $0.55 per share, with a dividend yield of 3.26%. This compares to the Insurance - Property and Casualty industry's yield of 0.66% and the S&P 500's yield of 1.45%. The company's annualized dividend growth in the past year was 1.89%. Check First American Financial dividend history here>>>

LCI (LCII) is paying out a dividend of $1.15 per share at the moment, with a dividend yield of 4.28% compared to the Automotive - Original Equipment industry's yield of 0% and the S&P 500's yield. The annualized dividend growth of the company was 9.52% over the past year. Check LCI dividend history here>>>

Currently paying a dividend of $0.60 per share, Prosperity Bancshares (PB) has a dividend yield of 3.53%. This is compared to the Banks - Southwest industry's yield of 1.2% and the S&P 500's current yield. Annualized dividend growth for the company in the past year was 3.57%. Check Prosperity Bancshares dividend history here>>>

But aren't stocks generally more risky than bonds?

The fact is that stocks, as an asset class, carry more risk than bonds. To counterbalance this, invest in superior quality dividend stocks that not only can grow over time but more significantly, can also decrease your overall portfolio volatility with respect 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.

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

Whether you select high-quality, low-fee funds or stocks, seeking the steady income of dividend-paying equities can potentially offer you a path to a better and more stress-free retirement.