Dear Mr. Berko: Could you please explain how the rule of 72 works for growing the principal and income value in a stock portfolio? I’ve been out of college for nine years. I am 30 years old and have two children. My spouse and I have paid off all our debts (except for our house and car), and we’re ready to invest. We don’t want to be aggressive, and we’ve heard the rule of 72 makes sense for the long term. We’d appreciate your explaining how this works.
— NB, Weatherford, Okla.
Dear NB: The rule of 72 is a 20- to 30-year strategy and assumes that you’d rather earn a slow $20 than make a fast $10.
The rule of 72 could make your life uncomplicated and comfortable. R/72 magically tells you the number of years it takes for money to double when compounded at a fixed rate. In this example, consider a $10,000 certificate of deposit paying 4 percent. Because 72 is our magic number, we divide it by 4 (the fixed interest rate), giving us 18. This tells us that $10,000 at 4 percent, compounded once a year, will grow to $20,000 in 18 years, when you’ll be 48. So after 18 years, you’d earn $800 in annual interest (4 percent on $20,000) from a $10,000 investment made when you were 30. That’s 8 percent. If the CD compounded at 4 percent for 18 more years, it’d grow to $40,000 by the time you’re 66. You’d be earning $1,600 in interest (4 percent on $40,000) from your original $10,000 investment made 36 years previously. That’s 16 percent.
Assume you have a $10,000 CD paying 6 percent. According to R/72, if the CD were compounded once a year, it would double in 12 years, to $20,000. You’d be 42 and earning $1,200 in interest on a $10,000 investment made when you were 30. That’s 12 percent. If you allowed the CD to compound for 12 more years, it would double again, to $40,000. You’d be 54 and earning $2,400 in interest on a $10,000 investment made when you were 30. That’s 24 percent. And if you allowed that 6 percent CD to compound for 12 more years, it would grow to $80,000. You’d be 66 and earning $4,800 on a $10,000 investment made 36 years previously. And if you let it compound for another 12 years, at 78, you would have a $160,000 CD, and you’d be earning $9,600 a year in interest. That’s 96 percent, with little risk, fuss or bother.