*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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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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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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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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Problem Set 1 1. You are considering various retirement plans. Your goal is to have a lump sum of $3‚000‚000 available (‘in the bank’) when you retire at age 67. The various plans‚ with their payment schedules‚ are listed below. In each case‚ calculate the payment(s) that must be made into the plan to ensure that you have the $3‚000‚000 available. For each plan‚ you may assume that your opportunity cost of funds is 6% per year; for each plan‚ you may assume that the phrase “at age XX” means the
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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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What is Car Loan? Basic Fact Sheet Is Security Required? | Yes (the Car being purchased) | Is Guarantor Required? | No | What is the Tenure? | 1 to 6 years | What is the Interest Rate? | 10.5% to 15% (Diminishing) | Is Part Payment Allowed? | Yes | Is Pre-Closure Allowed? | Yes | Is Balance Transfer Allowed? | Yes | What is the minimum Salary? | Rs. 10‚000 /- Net (pm) | How many days does it take? | 5 to 10 days | What is the loan amount? | Rs. 1‚00‚000 /- to Rs. 1‚00‚00‚000
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Empirical Formula of a Compound * Purpose: To determine the empirical formula of Magnesium Chloride. * Data 1. Mass of evaporating dish = 45.08g 2. Mass of evaporating dish and Magnesium = 45.17g 3. Mass of Magnesium: { 2 } – { 1 } = 0.09 4. Mass of evaporating dish and Magnesium Chloride First weighing = 45.48g (After heating and cooling) second weighing = 45.49g 5. Mass of Magnesium Chloride: { 4} – { 1 } = 0.41g
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the subject lines. Multiple Choice: True/False (5-2) Compounding 1. F J Answer: aEASY Starting to invest early for retirement increases the benefits of compound interest. a. True b. False (5-2) Compounding 2. F J Answer: bEASY Starting to invest early for retirement reduces the benefits of compound interest. a. True b. False (5-2) Compounding 3. F J Answer: aEASY A time line is meaningful even if all cash flows do not occur annually. a. True b. False
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