Why is the time value of money concept important? In what quantitative decisions might the time value of money be used? How do you apply the time value of money concept to make decisions in your personal life? The idea of the time value of money is important because of the fundamental assertion that one would rather have X number of dollars now‚ than later. If the money is taken later a value of X+i is preferred. This concept is applied to all situations where someone uses the monies of another
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Time Value of Money Practice Problems − Solutions Dr. Stanley D. Longhofer 1) Jim makes a deposit of $12‚000 in a bank account. The deposit is to earn interest annually at the rate of 9 percent for seven years. a) How much will Jim have on deposit at the end of seven years? P/Y = 1‚ N = 7‚ I = 9‚ PV = 12‚000‚ PMT = 0 ⇒ FV = $21‚936.47 b) Assuming the deposit earned a 9 percent rate of interest compounded quarterly‚ how much would he have at the end of seven years? P/Y = 4‚ N = 7 × 4 = 28 ⇒ FV =
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The time value of money A rupee today is more valuable than a rupee a year hence. Thus money has time value this is because of several reasons:-1) Individuals‚ in general prefer current consumption to future consumption.2) In an inflationary period‚ a rupee today represents a greater real purchasing power than a rupee a year hence.3) Capital can be employed productively to generate positive returns. An investment of one rupee today would grow to (1+r) a year hence (r is the rate of return earned
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Time Value of Money Time value of money is an amount of money available today can be safely invested to accumulate to a larger amount in the future. Present value- an amount of money available today. Future amount-amount receivable/payable at a future date Relationship Between Present Values and Present Values The difference between present value and future amount is the interest that is included in the future amount. It depends on two factors: 1. Rate of interest at which present
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Sample Problems—Time Value of Money 1. Gomez Electronics needs to arrange financing for its expansion program. Bank A offers to lend Gomez the required funds on a loan where interest must be paid monthly‚ and the quoted annual rate is 8 percent. Bank B will charge 9 percent‚ with interest due at the end of the year. What is the difference in the effective annual rates charges by the two banks? 2. In 1889‚ Vincent Van Gogh’s painting‚ “Sunflowers”‚ sold for $125. In 1987 it sold for $36 million
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Time Value of Money Problems 1. What will a deposit of $4‚500 at 10% compounded semiannually be worth if left in the bank for six years? a. $8‚020.22 b. $7‚959.55 c. $8‚081.55 d. $8‚181.55 2. What will a deposit of $4‚500 at 7% annual interest be worth if left in the bank for nine years? a. $8‚273.25 b. $8‚385.78 c. $8‚279.23 d. $7‚723.25 3. What will a deposit of $4‚500 at 12% compounded monthly be worth at the end of 10 years? a. $14‚351.80 b. $14‚851.80 c. $13‚997.40 d. $14
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Educating Young People Who Will Be Significantly Different! Achievement Standard: 90981 Make a financial decision for an individual or group Resource reference: Accounting 90981 (1.6) Credits: 3 Student instructions sheet Introduction This assessment task requires you to: • Collect printed and/or electronic data (and provide details of your sources) Your data must be collected from secondary sources (e.g. Internet research‚ brochures‚ newspapers‚ magazines etc)
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TIME VALUE OF MONEY INTRODUCTION This module or note is created to provide students with step-by-step explanation and discussion on time value of money that mainly based on formulas instead of time value of money tables. The reason is so that students are able to answer all sorts of questions that involve interest rates and time period that are not available in the tables. OUTLINE OF THE NOTE A. Simple Interest B. Compound Interest 1. Single Amount • Future Value • Present Value
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Time Value of Money According to the simple calculator on Bankrate.com‚ if I place $5000 in a saving account earning 2.50% Interest compounded at the end of a four year span I would have $10‚558.93 accumulated in my account. Setting the annual interest option to semi-annual I would have $10‚563.82. This is a difference of $4.89. Setting the annual interest rate to 3% compounded annually I would have $10‚716.56 in a four year span. Setting the Annual interest option to semi-annual I would have accumulated
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Time Value of Money Danielle Kaplan B6022-P A01 Calculate the future value of 100‚000 ten years from now based on the following annual interest rates 2 ( 100‚000 x (1.02)10 121‚899 5 ( 100‚000 x (1.05)10 162‚899 8 ( 100‚000 x (1.08)10 215‚892 10 ( 100‚000 x (1.10)10 259‚374 Calculate the present value of a stream of cash flows based on a discount rate of 8. Annual cash flow is as follows Year 1 100‚000 ( 100‚000 / (1.08) 92‚592 Year 2 150‚000 ( 150‚000 / (1.08)2 128‚600 Year 3 200
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