Most investors know by now that income planning in today's low interest rate world has become exceedingly difficult. Not only are interest rates historically low today, but the Federal Reserve has no intention of letting them rise anytime soon. It is best to assume that interest rates will stay low for a long time to come.
In this article I want to show just how difficult it has become to cover expenses with just income in retirement if an investor is looking to do this with fixed income. I also want to show an alternative to this: Using dividend-growth stocks; but not just any dividend-growth stocks. I want to show how investing in dividend payers with a solid history of dividend growth, even in recessions, can help retirees live off of their income in retirement without touching their principal.
Let's first start off by looking at how much easier it was to live off of bonds in retirement in 2007 when the ten year treasury yield was 5%. I want to look at a couple that is currently 50 years old and will retire in 15 years. My assumptions are below.
Inflation (CPI) | 2.5% | Current Age of Both People | 50 | Age Of Retirement | 65 | Age When Both People Have Passed Away | 85 | Social Security at age 67 (combined) | $35,000 per year | Average Savings Rate | 20% on Income of $250,000 | Total Investment Balance Today | $800,000 | Recurring Annual Expenses in Retirement | $50,000 | Investment Mix | 70% U.S. Value Stocks, 30% Treasuries. Switches to 100% Treasuries at Retirement | Investment Location | 50% in taxable accounts, 50% in IRAs | Return Assumption Value Stocks | 6% per year | Standard Deviation Value Stocks | 16.20% | Return Assumption Treasuries | 2.7% per year | Standard Deviation Treasuries | 7.20% | | |
First note that this couple plans on switching completely to treasuries when they retire at age 65. If treasury yields were at the level they were in 2007 this couple would not have any problems. I generated the analysis and graph below using our Retirement Planner. I assumed they invested all of their money at retirement in 10 year treasury bonds yielding 5%, which was the 10 year yield in 2007.
![](data:image/png;base64,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)
Notice how expenses are covered by income every year in retirement. Not only are expenses covered by income, but this couple will have nearly $900,000 left at the end of their plan. That is a very large safety buffer and it is obvious this couple will have no problem meeting their retirement goals.
But this was before treasury yields fell to below 3%. Using today's yields we see the following:
![](data:image/png;base64,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)
It now becomes painfully obvious that there is no way this couple can use income for their retirement expenses. Not only that, but their safety buffer (the amount left at the end of their plan) falls to less than $200,000. Also, their probability of success using Monte Carlo analysis falls to 60% from 97% when yields were higher.
Now that we know the problem, what is the solution? May investors have turned to dividend-growth stocks that have a solid history of increasing their dividends over time. One of my favorite such stocks is Altria Group (MO).
I propose using a combination of high quality dividend-growth stocks and treasury bonds to generate income in retirement. The types of dividend-growth stocks I am referring to are those that consistently raise their dividends and have shown that they can raise their dividends even during recessions. Some other companies that fit this bill are Procter & Gamble (PG), Coca-Cola (KO), Exxon (XOM), Chevron (CVX), Intel (INTC), and Wal-Mart (WMT).
I am also most definitely not recommending that people invest in only one dividend-growth stock. Investors should diversify among many dividend-growth stocks that have characteristics similar to Altria. I am only using Altria as an example for this discussion.
Let’s take a look at what makes companies such as Altria such a solid investment for retirement portfolios.
Div. Yield | Div. Growth
Rate (3 Yr.) | Div. Growth
Rate (5 Yr. Annualized) | Payout Ratio |
4.5% | 7.2% | 4.4% | 87% |
Not only does Altria have a reasonable dividend yield of 4.5%, but their dividend has been growing at a solid rate of 7.2% over the past three years. However, their payout ratio is somewhat high at 87%, which is something investors should keep an eye on. If the payout ratio keeps climbing it will be difficult for Altria to continue raising their dividends.
Let's take a look at what happens if they move half of their money into a basket of dividend-growth stocks that have an average dividend yield of 4%, an average dividend growth rate of 5%, and average stock price growth of 3%.
![](data:image/png;base64,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)
We now see that this couple easily covers their expenses with income (thanks to their dividend payments). They will now have a safety buffer of over $800,000 at the end of their plan and the probability of plan success jumps to more than 90%.
Income planning has become vastly more difficult in today's environment. But with a little bit of research and the right mix of high quality dividend-growth stocks, those approaching or in retirement can still generate enough income to cover all of their expenses.
Retirement Planning Software | Financial Planning Software