<?xml version="1.0" encoding="UTF-8"?>				<article id="-713539183"><artname>Compound Interest Formula</artname><p><glossary def="Interest calculated not only on the original principal that was saved but also on the interest earned earlier and left in the account. It is an attractive way of accelerating earnings." primary="Compound Interest">Compound interest</glossary> is easy to calculate with a simple calculator. To determine your <nodef>future</nodef> <glossary def="The earnings on securities or other investments, whether they are dividends or interest, realization of profits or receipts, income, or some other source." primary="Return">return</glossary> on an <glossary def="The purchase of a potentially appreciable asset such as a stock, a bond, a property, or a unit of production. The purchase provides funds for the growth of businesses and governments." primary="Investment">investment</glossary> earning compound interest, use the following formula:</p><image file="_713539183_1_sm.gif" align="center" alt="Formula for Compound Interest" /><p><i>P</i> stands for <glossary def="1. The amount borrowed, or the part of the amount borrowed that remains unpaid (not including future interest). 2. The part of a monthly payment that reduces the outstanding balance of a mortgage or other loan. 3. The original investment amount of a security. 4. In banking terms, principal is the original deposit or loan on which interest is earned or paid." primary="Principal">principal</glossary>, <i>R</i> stands for your periodic rate of return (<glossary def="A charge for using another's money. Interest is usually stated as a percentage of the amount borrowed and can be charged in a variety of ways, such as accrual, compounding, or simple interest." primary="Interest">interest</glossary>), and <i>T</i> stands for the number of <glossary def="Earning interest on principal saved and on previously earned interest." primary="Compounding">compounding</glossary> periods your <glossary def="The medium of exchange used in trade or commerce." primary="Money">money</glossary> is invested. This formula not only calculates the interest on your investment's principal, but also on its prior interest. For example, let's say you are going to invest $2,000 for 5 years at an <glossary def="The expected return in a year on a debt obligation, expressed as a percentage of the principal." primary="Annual Interest Rate">annual interest rate</glossary> of 5 percent. What <nodef>will</nodef> your return be, assuming your <glossary def="A percentage that indicates what borrowed money will cost or savings will earn. An interest rate equals interest earned or charged per year divided by the principal amount, and expressed as a percentage. In the simplest example, a 5% interest rate means that it will cost $5 to borrow $100 for a year, or a person will earn $5 for keeping $100 in a savings account for a year." primary="Interest Rate">interest rate</glossary> remains the same?</p><image file="_713539183_2_sm.gif" align="center" alt="The Effect of Compound Interest" /><p>There is another simple trick to figuring out how long it <nodef>will</nodef> take compounding interest to double your investment. It's called the <glossary def="A shortcut for estimating how long it will take to double money at a certain interest rate. To use the rule, divide 72 by the interest rate. The answer is the number of years it will take for any amount of money to double. For example, if money in savings earned 3% interest, then you would need 24 (72/3) years to double it. You also can use the Rule of 72 to estimate the interest rate needed to double your money in a certain number of years. For example, if you want your money in savings to double in 9 years, then you will need to earn 8% (72/9) interest on it." primary="Rule of 72">Rule of 72</glossary>. Simply divide 72 by your interest rate to come up with the number of years it <nodef>will</nodef> take to double. For example, if your investment earns 6 percent, dividing 72 by 6 gives you 12&#8212;the number of years for your investment to double. To find out the interest rate you <nodef>will</nodef> need to double your investment within a certain number of years, divide 72 by the number of years. For example, let's say you want to double your investment in eight years. Dividing 72 by 8 gives you 9 percent. This is the interest rate you <nodef>will</nodef> need to earn in order to double your investment in eight years through compounding interest.</p><p>It should be noted that most investments do not grow at a stable interest rate each year. But these formulas <nodef>will</nodef> give you a broad reference for understanding the power of compounding.</p></article>	