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Saving and Investing

Saving money is one of the most important things you can do for your future, along with getting a good education. Saving money takes discipline, but it enables you to accumulate money for large or expensive purchases. A good way to save money is to create a budget. A budget is a plan for coordinating how you will spend and save money.

A budget takes into consideration your income (how much money you make), your expenses (what you have to spend) and how much you have left over. What's left over is known as discretionary income. No doubt some of your discretionary income will be spent on luxury items that you want now. But you will also want to put some of that money away for your future. That's called savings. Some people suggest saving as much as 10 percent of your discretionary income.

Many kids start out saving money in a piggy bank. Once they have accumulated a certain amount, they ask an adult to help them open a savings account at a bank or credit union. A savings account is a type of investment account where the money in the account earns interest. Banks ensure that you will always be able to get your money out of the bank when you want it. When you put money in a bank account, the bank may pay you interest on your money. This means that your money will earn money, and you will eventually have more money than you originally deposited, just because you deposited it. Piggy banks don't do that!

How does interest work?

There are two kinds of interest: Simple and compound. Simple interest is figured only on the amount you deposit (called the principal). Compound interest, on the other hand, is figured on the principal and the interest the principal earns. Stated another way, your interest earns more interest when it's compounded.

Computing simple interest

To compute simple interest, multiply the principal (the amount you deposit) by the interest rate by the length of time it will take you to pay off the loan. The formula for simple interest is displayed in the box to the right.

Let's say that you deposit $100 at an interest rate of 14 percent, for three years.

Step 1: Write the formula:
I=prt

Step 2: Substitute $100 for p, .14 for r, and 3 for time.

Step 3: Solve.
I= $100 x .14 x 3
I= $42.00

The interest you will accumulate is $42.00. The total amount in your account will be $142.00.

Computing compound interest

Your savings account probably will pay compound interest. Figuring compound interest is slightly more complicated than simple interest.

Using the formula to the right, let's work a problem involving interest compounded annually. Start with a deposit of $500 and an interest rate of 6 percent a year. How much money would you have after five years?

Step 1: Write the formula.
A = P(1 + i)n

Step 2: Substitute 500 for P, 0.06 for i and 5 for n.
A = 500(1 + 0.06)5

Step 3: Solve
A = 500(1.06)(1.06)(1.06)(1.06)(1.06)
A = $669.11

Interest can also be compounded twice a year, four times a year, or even daily. When interest is compounded daily, interest is added to your account every day. The formulas for calculating interest compounded at these intervals is slightly different (see calculation in the box on the right).

Using the formula on the previous page, let's work a problem involving interest compounded during the year. Start with a deposit of $1000 and an interest rate of 8 percent that is compounded four times a year. How much money would you have after two years?

Step 1: Write the formula.
A = P( 1 + i/m) mn

Step 2: Substitute 1000 for P, 0.08 for i, 4 for m, and 2 for n.
A = 1000( 1 + 0.08/4)4 * 2

Step 3: Solve
A = 1000(1.02)8
A = 1000(1.02)(1.02)(1.02)(1.02)(1.02)(1.02)(1.02)(1.02)
A = $1171.66

After you have accumulated savings, you are well on your way to becoming an investor. Although investing carriers a certain amount of risk, it can also be financially rewarding. You could invest in stocks, mutual funds, bonds, and securities. Each type of investment has its own risks and rewards. Some are riskier than others. This means that payoffs can be big, but losses can also be big.

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Simple Interest

I=rpt
Where
I = Interest
p = Principal
r = Interest rate expressed as a decimal
t = Time.

Interest Compounded Annually

A = P(1+i)n

Where
A = Amount in the account
P = The original deposit (the principal)
i = Interest rate per year, expressed in decimal format
n = Number of years compounded.

Interest Compounded During the Year

A = P(1+i/m)mn

Where
A = Amount in the account
P = The original deposit (the principal)
i = Interest rate per year, expressed in decimal format
m = Number of times interest is compounded within the year (4 for four times a year, 2 for twice a year)
n = Number of years compounded.

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