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

And unfortunately, even retirees who have built a nest egg have good reason to be concerned - with the traditional approaches to retirement planning, income may no longer cover expenses. That means retirees are dipping into principal to make ends meet, setting up a race against time between dwindling investment balances and longer lifespans.

The tried-and-true retirement investing approach of yesterday doesn'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.

While this yield reduction may not seem drastic, it adds up: for a $1 million investment in 10-year Treasuries, the rate drop means a difference in yield of more than $1 million.

In addition to the considerable drop in bond yields, today's retirees are nervous about their future Social Security benefits. Because of certain demographic factors, it's been estimated that the funds that pay the Social Security benefits will run out of money in 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

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.

One way to identify suitable candidates is to look for stocks with an average dividend yield of 3%, and positive average annual dividend growth. Many stocks increase dividends over time, helping to offset the effects of inflation.

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

Acadia Realty Trust (AKR Quick QuoteAKR - Free Report)

is currently shelling out a dividend of $0.2 per share, with a dividend yield of 3.54%. This compares to the REIT and Equity Trust - Retail industry's yield of 3.96% and the S&P 500's yield of 1.58%. The company's annualized dividend growth in the past year was 5.56%. Check Acadia Realty Trust dividend history here>>>

HP (HPQ Quick QuoteHPQ - Free Report)

is paying out a dividend of $0.29 per share at the moment, with a dividend yield of 3.99% compared to the Computer - Micro Computers industry's yield of 1.35% and the S&P 500's yield. The annualized dividend growth of the company was 5.01% over the past year. Check HP dividend history here>>>

Currently paying a dividend of $0.22 per share,

Mosaic (MOS Quick QuoteMOS - Free Report)

has a dividend yield of 3.18%. This is compared to the Fertilizers industry's yield of 2.67% and the S&P 500's current yield. Annualized dividend growth for the company in the past year was 5%. Check Mosaic dividend history here>>>

But aren't stocks generally more risky than bonds?

The fact is that stocks, as an asset class, carry more risk than bonds. To counterbalance this, invest in superior quality dividend stocks that not only can grow over time but more significantly, can also decrease your overall portfolio volatility with respect to the broader 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 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.