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.

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

In the past, investors going into retirement could invest in bonds and count on attractive yields to produce steady, reliable income streams to fund a predictable retirement. 10-year Treasury bond rates in the late 1990s hovered around 6.50%, whereas the current rate is much lower.

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.

And lower bond yields aren't the only potential problem seniors are facing. Today's retirees aren't feeling as secure as they once did about Social Security, either. Benefit checks will still be coming for the foreseeable future, but based on current estimates, Social Security funds will run out of money in 2035.

How can you avoid dipping into your principal when the investments you counted on in retirement aren't producing income? You can only cut your expenses so far, and the only other option is to find a different investment vehicle to generate income.

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.

Mosaic (MOS Quick QuoteMOS - Free Report)

is currently shelling out a dividend of $0.22 per share, with a dividend yield of 3.48%. This compares to the Fertilizers industry's yield of 2.62% and the S&P 500's yield of 1.56%. The company's annualized dividend growth in the past year was 5%. Check Mosaic dividend history here>>>

Sempra (SRE Quick QuoteSRE - Free Report)

is paying out a dividend of $0.65 per share at the moment, with a dividend yield of 3.45% compared to the Utility - Gas Distribution industry's yield of 3.3% and the S&P 500's yield. The annualized dividend growth of the company was 4.2% over the past year. Check Sempra dividend history here>>>

Currently paying a dividend of $0.47 per share,

Molson Coors Brewing (TAP Quick QuoteTAP - Free Report)

has a dividend yield of 3.17%. This is compared to the Beverages - Alcohol industry's yield of 0% and the S&P 500's current yield. Annualized dividend growth for the company in the past year was 7.32%. Check Molson Coors Brewing 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.

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 interested in investing in dividends, but are thinking about mutual funds or ETFs rather than stocks, beware of fees. Mutual funds and specialized ETFs may carry high fees, which could lower the overall gains you earn from dividends, undercutting your dividend income strategy. Be sure to look for funds with low fees if you decide on this approach.

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.