Strange but true: seniors fear death less than running out of money in retirement.

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.

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.

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

We feel that these dividend-paying equities - as long as they are from high-quality, low-risk issuers - can give retirement investors a smart option to replace low-yielding Treasury bonds (or other bonds).

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.

UGI (UGI) is currently shelling out a dividend of $0.38 per share, with a dividend yield of 6.56%. This compares to the Utility - Gas Distribution industry's yield of 3.63% and the S&P 500's yield of 1.59%. The company's annualized dividend growth in the past year was 4.17%. Check UGI dividend history here>>>

Virtus Investment Partners (VRTS) is paying out a dividend of $1.9 per share at the moment, with a dividend yield of 3.45% compared to the Financial - Investment Management industry's yield of 2.35% and the S&P 500's yield. The annualized dividend growth of the company was 15.15% over the past year. Check Virtus Investment Partners dividend history here>>>