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.

Retirement investing approaches of the past don'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.

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.

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.

Molson Coors Brewing (TAP Quick QuoteTAP - Free Report) is currently shelling out a dividend of $0.44 per share, with a dividend yield of 3.51%. This compares to the Beverages - Alcohol industry's yield of 0% and the S&P 500's yield of 1.6%. The company's annualized dividend growth in the past year was 7.32%. Check Molson Coors Brewing dividend history here>>>

TEGNA Inc. (TGNA Quick QuoteTGNA - Free Report) is paying out a dividend of $0.13 per share at the moment, with a dividend yield of 3.93% compared to the Broadcast Radio and Television industry's yield of 0% and the S&P 500's yield. The annualized dividend growth of the company was 19.74% over the past year. Check TEGNA Inc. dividend history here>>>

Currently paying a dividend of $1.24 per share, T. Rowe Price (TROW Quick QuoteTROW - Free Report) has a dividend yield of 4.24%. This is compared to the Financial - Investment Management industry's yield of 2.53% and the S&P 500's current yield. Annualized dividend growth for the company in the past year was 1.64%. Check T. Rowe Price 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 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.