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.

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.

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 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.

Bristol Myers Squibb (BMY Quick QuoteBMY - Free Report) is currently shelling out a dividend of $0.63 per share, with a dividend yield of 4.38%. This compares to the Medical - Biomedical and Genetics industry's yield of 0% and the S&P 500's yield of 1.35%. The company's annualized dividend growth in the past year was 3.33%. Check Bristol Myers Squibb dividend history here>>>

Brixmor Property (BRX) is paying out a dividend of $0.31 per share at the moment, with a dividend yield of 3.96% compared to the REIT and Equity Trust - Retail industry's yield of 3.78% and the S&P 500's yield. The annualized dividend growth of the company was 5.5% over the past year. Check Brixmor Property dividend history here>>>

Currently paying a dividend of $0.32 per share, COPT Defense (CDP) has a dividend yield of 3.50%. This is compared to the REIT and Equity Trust - Other industry's yield of 3.88% and the S&P 500's current yield. Annualized dividend growth for the company in the past year was 3.39%. Check COPT Defense 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.

Combating the impact of inflation is one advantage of owning these dividend-paying stocks. Here's why: many of these stable, high-quality companies increase their dividends over time, which translates to rising dividend income that offsets the effects of inflation.

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

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.