The magic of compunding a great article I found spelling out this magic

By Jonathan Burton, MarketWatch

SAN FRANCISCO (MarketWatch) — The millionaire next door could be you.

All it takes is money and time; it always does. But what this really means is you have to save money over time, and that’s where so many of us struggle.

Reaching age 65 with $1 million saved requires strong discipline and sustained effort. You need to recognize the importance of starting early and putting money away regularly. But even if you don’t have as much time, you still have options other than a last-ditch Hail Mary pass.

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It can be done — even if you start with just $10,000.
“Whether you’re 25 or 45 or even 55, you’ve got to start somewhere,” said Nathan Dungan, founder of financial education firm Share Save Spend.

Call it a 7% solution. Assume a 7% inflation-adjusted return from a portfolio of U.S. and international stocks, bonds and cash — not overly aggressive, but an expected return that requires taking some risk — and living well within your means.

“In order to save, you have to understand your spending,” said Eric Kies, a financial adviser with The Planning Center, an investment manager in Moline, Ill. “Build some awareness of where you are now, where do you want to be, and what are you willing to do to get there.”

Of course there will be bumps along the road — potholes, even, that challenge your resolve. The financial markets love to shake and stir individual investors; don’t give up, because it may be hard to get back in. Read more: Look for support from recovery, stocks.

“It’s less about where the money is invested and more about your ability to be disciplined,” Dungan said. “Ask yourself, What is realistic? What can I achieve? The best savers don’t have magical thinking about money. They’re honest with themselves.”

25 years old: Starting out

Forty years is a long time. So long, in fact, that it’s easy to put off saving for the future. There are bills to deal with, college debt to pay, stuff to buy, vacations to take, a career to build.

Savings — sure, but who has money for that? Indeed, one of every three Americans between the ages of 18 and 33 have no personal savings, according to a recent Harris Poll survey. What’s more, 53% of this age group has zero in the way of retirement savings.

They’re missing out, big time. If a 25-year old with $10,000 invested $320 a month at a 7% annual compound rate of return until they turned 65, they would wind up with $1 million.

“There’s a reason why Albert Einstein called compounding the most powerful force in the universe,” said Jonathan Guyton, a principal at investment manager Cornerstone Wealth Advisors in Minneapolis.
Whether or not Einstein really said this, the math speaks for itself. At 7%, your money doubles every 10 years.

If saving a few hundred bucks a month seems daunting, rest assured it only gets worse. One way to make the job easier is to rely on your job — specifically investing in your company’s 401(k) plan and enjoy whatever contribution match your employer offers. Think of it as free money.
Don’t have a 401(k)? Open a Roth IRA if you qualify, and automatically deposit money into it from your bank account to get tax-free growth.