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 example, 10-year Treasury bonds in the late 1990s offered a yield of around 6.50%, which translated to an income source you could count on. However, today's yield is much lower and probably not a viable return option to fund typical retirements.

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

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.

Hancock Whitney (HWC Quick QuoteHWC - Free Report)

is currently shelling out a dividend of $0.45 per share, with a dividend yield of 3.35%. This compares to the Banks - Southeast industry's yield of 2.2% and the S&P 500's yield of 1.56%. The company's annualized dividend growth in the past year was 33.33%. Check Hancock Whitney dividend history here>>>

M&T Bank Corporation (MTB Quick QuoteMTB - Free Report)

is paying out a dividend of $1.35 per share at the moment, with a dividend yield of 3.03% compared to the Banks - Major Regional industry's yield of 3.5% and the S&P 500's yield. The annualized dividend growth of the company was 3.85% over the past year. Check M&T Bank Corporation dividend history here>>>

Currently paying a dividend of $0.76 per share,

State Street Corporation (STT Quick QuoteSTT - Free Report)

has a dividend yield of 3.29%. This is compared to the Banks - Major Regional industry's yield of 3.5% and the S&P 500's current yield. Annualized dividend growth for the company in the past year was 10.14%. Check State Street Corporation 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 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

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.