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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Time Value of Money (TVM)‚ developed by Leonardo Fibonacci in 1202‚ is an important concept in financial management. It can be used to compare investment alternatives and to solve problems involving loans‚ mortgages‚ leases‚ savings‚ and annuities. TVM is based on the concept that a dollar today is worth more than a dollar in the future. That is mainly because money held today can be invested and earn interest. A key concept of TVM is that a single sum of money or a series of equal‚
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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‚ is exactly how it sounds. Time can determine the value of your money in aspects of Present Value (PV) and Future Value (FV). Present value is what your money is worth at the present point in time that you acquire it. Future value is what your money will be worth if you accrue interest over time. Equations for both are as follows. FV= PV (1 + i) ^n‚ PV= FV (1+i) ^ -n. Examples of both; you get $15‚000 now or $15‚000 in three years. If you take the $15k now and put it away
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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 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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ACFI 340 – TAKE HOME QUIZ - FALL‚ 2011 Below you will find a series of independent questions involving present value concepts. Show all factors used in present value computations and indicate the table that was used (FV of $1‚ PV of $1‚ etc). If you use a financial calculator‚ show the key strokes you used to compute the answer: N‚ i/y‚ PV‚ FV and PMT Please download a copy of this quiz and type your answers after each question. Each student should design his/her own spreadsheets. Where amortization
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Li‚ Mengxi M00084713 Section 3 March 25‚ 2013 Victor Chang The Impact of Winning the Lottery It’s estimated that that millions of people play lotteries every day. These include both the old and young generation. These include people that already have money and people who desperately need money. It seems that everyone wants to be a lottery winner! Winning the lottery can have a great impact on people’s daily lives which include positive influences and negative effects. Three of the impacts
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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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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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