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

And retirees have good reason to be worried about making their assets last. People are living longer, so that money has to cover a longer period. Making matters worse, income generated using tried - and - true retirement planning approaches may not cover expenses these days. That means seniors must dip into principal to meet living expenses.

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.

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

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

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.

A rule of thumb for finding solid income-producing stocks is to seek those that average 3% dividend yield, and positive yearly dividend growth. These stocks can help combat inflation by boosting dividends over time.

Here are three dividend-paying stocks retirees should consider for their nest egg portfolio.

Bristol Myers Squibb (BMY Quick QuoteBMY - Free Report) is currently shelling out a dividend of $0.63 per share, with a dividend yield of 4.67%. This compares to the Medical - Biomedical and Genetics industry's yield of 0% and the S&P 500's yield of 1.43%. The company's annualized dividend growth in the past year was 3.33%. Check Bristol Myers Squibb dividend history here>>>

Norwood Financial Corp. (NWFL) is paying out a dividend of $0.32 per share at the moment, with a dividend yield of 4.16% compared to the Banks - Northeast industry's yield of 2.09% and the S&P 500's yield. The annualized dividend growth of the company was 3.33% over the past year. Check Norwood Financial Corp. dividend history here>>>

Currently paying a dividend of $0.52 per share, U.S. Bancorp (USB) has a dividend yield of 3.58%. This is compared to the Banks - Major Regional industry's yield of 2.78% and the S&P 500's current yield. Annualized dividend growth for the company in the past year was 2.04%. Check U.S. Bancorp dividend history here>>>

But aren't stocks generally more risky than bonds?

Overall, that is true. But stocks are a broad class, and you can reduce the risks significantly by selecting high-quality dividend stocks that can generate regular, predictable income and can also decrease the volatility of your portfolio compared to the overall stock market.

A silver lining to owning dividend stocks for your retirement portfolio is that many companies, especially blue chip stocks, increase their dividends over time, helping offset the effects of inflation on your potential retirement income.

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.