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.

Years ago, investors at or close to retirement could put money into fixed-income assets and depend on appealing yields to generate consistent, solid pay streams to fund a comfortable retirement. 10-year Treasury bond rates in the late 1990s floated around 6.50%, but unfortunately, those days of being able to exclusively rely on Treasury yields to fund retirement income are over.

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.

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 a replacement for low yielding Treasury bonds (and other bond options), we believe dividend-paying stocks from high quality companies offer low risk and stable, predictable income investors in retirement seek.

Look for stocks that have paid steady, increasing dividends for years (or decades), and have not cut their dividends even during recessions.

Going beyond those familiar names, you can find excellent dividend-paying stocks by following a few guidelines. Look for companies that pay a dividend yield of around 3%, with positive annual dividend growth. The growth rate is key to help combat the effects of inflation.

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

AES (AES Quick QuoteAES - Free Report)

is currently shelling out a dividend of $0.18 per share, with a dividend yield of 6.55%. This compares to the Utility - Electric Power industry's yield of 3.18% and the S&P 500's yield of 1.51%. The company's annualized dividend growth in the past year was 3.98%. Check AES dividend history here>>>

Community Trust Bancorp (CTBI Quick QuoteCTBI - Free Report)

is paying out a dividend of $0.47 per share at the moment, with a dividend yield of 3.38% compared to the Banks - Southeast industry's yield of 2.13% and the S&P 500's yield. The annualized dividend growth of the company was 2.17% over the past year. Check Community Trust Bancorp dividend history here>>>

Currently paying a dividend of $0.31 per share,

Midland States Bancorp (MSBI Quick QuoteMSBI - Free Report)

has a dividend yield of 6.33%. This is compared to the Banks - Northeast industry's yield of 2.42% and the S&P 500's current yield. Annualized dividend growth for the company in the past year was 3.33%. Check Midland States 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.

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're thinking, "I want to invest in a dividend-focused ETF or mutual fund," make sure to do your homework. It's important to know that some mutual funds and specialized ETFs charge high fees, which may diminish your dividend gains or income and thwart the overall objective of this investment strategy. If you do want to invest in fund, research well to identify the best-quality dividend funds with the least charges.

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.