The Difference Between Simple Interest and Compound Interest We will be going into the difference between simple interest and compound interest. The results can be astounding when comparing the two results of any kind of example when comparing the two. To understand your finances and how your money works this will be a very integral part of knowledge. The first and most important difference between these two types of interest is that in compound interest you begin to earn interest on the interest
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*Compound Interest/Discount* Compound Interest When you borrow money from a bank‚ you pay interest. Interest is really a fee charged for borrowing the money‚ it is a percentage charged on the principle amount for a period of a year - usually. If you want to know how much interest you will earn on your investment or if you want to know how much you will pay above the cost of the principal amount on a loan or mortgage‚ you will need to understand how compound interest works. * Compound interest
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COMPOUND INTEREST Making or Spending Money SIMPLE INTEREST FORMULA If a principal of P dollars is borrowed for a period of t years at a per annum interest rate r‚ expressed as a decimal‚ then interest I charged is I Pr t This interest is not used very often. Interest is usually compounded which means interest is charged or given on the interest and the principal. Simple Interest Example COMPOUND INTEREST Payment Periods: Annually Once per year Semiannually Twice per year Quarterly
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Continuously Compounded Interest Mathematics: MATH650 section 02 Wendy Forbes April 27‚ 2010 We often hear people say that we should let our money work for us. Using money or capital for income or profit is called an investment. An accountant manages a company’s money. Then‚ managers or company investors review their reports to find out the financial status. The demand for accountants increases as more private companies are established. In addition‚ there are always new and changing
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Question #1 | | | Jamie wants to earn $500 in interest so she’ll have enough to buy a used car. She puts $2000 into an account that earns interest. How long will she need to leave her money in the account to earn $500 in interest? | | | | Question #2 | | | A local bank is advertising that you can double your money in eight years if you invest with them. Suppose you have $1000 to invest. What interest rate is the bank offering? | | | Try These | | | | | | | |
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000 to grow to $30‚000 at 8%p.a. simple interest? (in years correct to two decimal places) Q2: Calculate the present value of $10‚000 due to be paid 3 years from now. The interest rate to use in the calculation is i4 40% Q3: Calculate the present value of $10‚000 due to be paid 3 years from now. The interest rate to use in the calculation is i2 40% Q4: If compound interest is charged at 2.0% per month‚ what is the effective annual rate of interest (as a percentage correct to
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with a 2% interest rate‚ or in a five year certificate of deposit with and interest rate of 4.5%. Calculate how much interest you would earn with each option over five years time with continuous compounding. I’m going to do this for my checking and savings account amount Checking Account A = Ce^RT My total money in the checking account is 2100 dollars Since the formula for the continuous compounding is A=Ce^RT where C is the initial deposit or capital‚ T for time‚ R is the rate of interest and A
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COMPOUND INTEREST ASSIGNMENT - 1 1. Mr. Dubey borrows Rs 1‚00‚000 from State Bank of India at 11% per annum compound interest. He repays Rs 41‚000 at the end of first year and Rs 47‚700 at the end of the second year. Find the amount outstanding at the beginning of the third year. 2. What sum of money will amount to Rs 9261 in 3 years at 5% per annum compound interest? 3. The simple interest on a sum of money for 2 years at 4% per annum is Rs 340. Find (i) the sum of money and (ii) the compound
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13.1 Compound Interest • Simple interest – interest is paid only on the principal • Compound interest – interest is paid on both principal and interest‚ compounded at regular intervals • Example: a $1000 principal paying 10% simple interest after 3 years pays .1 3 $1000 = $300 If interest is compounded annually‚ it pays .1 $1000 = $100 the first year‚ .1 $1100 = $110 the second year and .1 $1210 = $121 the third year totaling $100 + $110 + $121 = $331 interest 13.1 Compound Interest Period
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BUSINESS MATH Simple Interest and Simple Discount Business Math‚ Eighth Edition Cleaves/Hobbs © 2009 Pearson Education‚ Inc. Upper Saddle River‚ NJ 07458 All Rights Reserved 11.1 The Simple Interest Formula Find simple interest by using the simple interest formula. Find the maturity of a loan. Convert months to a fractional or decimal part of the year. Find the principal‚ rate or time using the simple interest formula. Business Math‚ Eighth Edition Cleaves/Hobbs © 2009 Pearson
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