# 14.1 How to accumulate personal wealth  (Page 2/13)

 Page 2 / 13

Many U.S. citizens can accumulate a large amount of wealth during their lifetimes, if they make two key choices. The first is to complete additional education and training. In 2014, the U.S. Census Bureau reported median earnings for households where the main earner had only a high school degree of $33,124; for those with a two-year associate degree, median earnings were$40,560 and for those with a four-year bachelor’s degree, median income was $54,340. Learning is not only good for you, but it pays off financially, too. The second key choice is to start saving money early in life, and to give the power of compound interest a chance. Imagine that at age 25, you save$3,000 and place that money into an account that you do not touch. In the long run, it is not unreasonable to assume a 7% real annual rate of return (that is, 7% above the rate of inflation) on money invested in a well-diversified stock portfolio. After 40 years, using the formula for compound interest, the original $3,000 investment will have multiplied nearly fifteen fold: $3,000{\left(1+.07\right)}^{40}=\text{}44,923$ Having$45,000 does not make you a millionaire. Notice, however, that this tidy sum is the result of saving $3,000 exactly once. Saving that amount every year for several decades—or saving more as income rises—will multiply the total considerably. This type of wealth will not rival the riches of Microsoft CEO Bill Gates, but remember that only half of Americans have any money in mutual funds at all. Accumulating hundreds of thousands of dollars by retirement is a perfectly achievable goal for a well-educated person who starts saving early in life—and that amount of accumulated wealth will put you at or near the top 10% of all American households. The following Work It Out feature shows the difference between simple and compound interest, and the power of compound interest. ## Simple and compound interest Simple interest is an interest rate calculation only on the principal amount. Step 1. Learn the formula for simple interest: Principal × Rate × Time = Interest Step 2. Practice using the simple interest formula. Example 1:$100 Deposit at a simple interest rate of 5% held for one year is:

$100 × 0.05 × 1 =$5

Simple interest in this example is $5. Example 2:$100 Deposit at a simple interest rate of 5% held for three years is:

$100 × 0.05 × 3 =$15

Simple interest in this example is $5. Step 3. Calculate the total future amount using this formula: Total future amount = principal + interest Step 4. Put the two simple interest formulas together. Total future amount (with simple interest) = Principal + (Principal × Rate × Time) Step 5. Apply the simple interest formula to our three year example. Total future amount (with simple interest) =$100 + ($100 × 0.05 × 3) =$115

Compound interest is an interest rate calculation on the principal plus the accumulated interest.

Step 6. To find the compound interest, we determine the difference between the future value and the present value of the principal. This is accomplished as follows:

Compound interest = Future Value – Present Valve

Step 7. Apply this formula to our three-year scenario. Follow the calculations in

 Year 1 Amount in Bank $100 Bank Interest Rate 5% Total$105 $100 + ($100 × 0.5) Year 2 Amount in Bank $105 Bank Interest Rate 5% Total$110.25 $105 + ($105 × .05) Year 3 Amount in Bank $110.25 Bank Interest Rate 5% Total$115.75 $110.25 + ($110.25 × .05) Compound interest $115.75 –$100 = $15.75 Step 8. Note that, after three years, the total is$115.75. Therefore the total compound interest is $15.75. This is$0.75 more than was obtained with simple interest. While this may not seem like much, keep in mind that we were only working with \$100 and over a relatively short time period. Compound interest can make a huge difference with larger sums of money and over longer periods of time.

#### Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
Sanket Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
Privacy Information Security Software Version 1.1a
Good
im lost on this matter so if anyone could help me I would really appreciate it
Antonio Reply
Suppose that a 5% increase in the minimum wage causes a 5% reduction in employment. How would this affect employers and how would it affect workers? In your opinion, would this be a good policy?
Antonio Reply

### Read also:

#### Get the best Algebra and trigonometry course in your pocket!

Source:  OpenStax, Openstax microeconomics in ten weeks. OpenStax CNX. Sep 03, 2014 Download for free at http://legacy.cnx.org/content/col11703/1.2
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Openstax microeconomics in ten weeks' conversation and receive update notifications?    By Subramanian Divya  By By  By By