Compounding

  

Categories: Metrics, Investing

Oh, the joys of compounding.

We often hear financial experts say that, if only workers in their 20s would save just $880 a month, they would have a million dollars by the time they retire at age 60, with a constant return of at least 5%. A 45-year-old would have to invest $3,741 a month to save the million dollars by age 60, almost four times as much. So, thanks to compounding, instead of buying that fancy new car or taking an expensive vacation, it pays to put money away for retirement. And keep it there.

In order for compounding to work, one has to reinvest the earnings on an asset. Rather than taking out the dividends you earn on a stock, or the interest earned in a savings account or CD, smart investors reinvest dividends to buy more shares, and the interest on a savings account becomes part of the ever-growing principal.

Richard invests $10,000 in an index fund called Grow Your Money Fast and holds it for 20 years. Since he reinvested all dividends, interest, and capital gains back into the fund, it is now worth $45,000. If he hadn’t reinvested the distributions, the value of his investment would only have been about $30,000. Since Richard held this fund in his retirement account, the savings will grow tax deferred as well.

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Finance: What is Compounding Value or Co...1771 Views

00:00

Finance allah shmoop What is calm Pounding value or compounding

00:06

interest Ah the power of compounding it makes tree's stronger

00:12

pollution More feral and the rich Well richer How so

00:16

Well let's start with compounds kissing cousin with six toes

00:20

Arithmetic calm pounding Right So the first was really geometric

00:24

compounding Now we're talking about arithmetic compounding If you invest

00:27

a thousand bucks in a ten year bond that pay

00:29

six percent a year in interest the dough comes back

00:32

to you in a pattern that looks like this Like

00:35

every six months they pay thirty bucks and it's sixty

00:38

dollars a year Got it nice You get the total

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of sixteen hundred bucks back from your investment And the

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cash that came back to you you know came in

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small parts all along the way until you got about

00:50

two thirds of it or sixty percent at the end

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right If you just spent that money and collected your

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thousand bucks at the end That's it Okay So that's

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arithmetic compounding the money comes to you You don't reinvest

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it Ding ding ding that's the key here and you

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just go buy burgers Okay So now let's look at

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what six percent compound id looks like over the same

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ten year period Wealth at the end of your one

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it's a thousand sixty bucks and no we're only going

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to compound it annually We probably should do the semi

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annually but we confuse you even more is we won't

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do that but then you essentially re invest that money

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and you get another six percent compounded on that thousand

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sixty instead of six percent compounded against the original thousand

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so by the end of your two you'll have a

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thousand one hundred twenty three sixty and by the end

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of your ten you'll have one thousand seven hundred ninety

01:36

dollars and eighty five cents So why do you make

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so much more money when you compound interest versus getting

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thirty bucks twice a year like you would in this

01:46

bond example going by and burgers with it You don't

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wanna do that well essentially what's happening is that you're

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delaying your gratification of getting that sweet sweet cash or

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getting liquid Whatever you wanna call it by reinvesting your

02:00

gains year after year after year So do you have

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that sort of self control Do you need the cash

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Yeah that's The question If you for example have trouble

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making it home from your local pizza spot with the

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pie intact well and compound interest Keeping the discipline to

02:16

not spend the money today and wait for the happiness

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tomorrow Well when that may not be for you Sorry

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Finance: What is Imputed Interest Rate?
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