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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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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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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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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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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much will Jim have on deposit at the end of seven years? Q. 2 Find the present value of $10‚000 to be received at the end of 10 periods at 8% per period. Q.3 What is the value of the following set of cash flows today? The interest rate is 8% for all cash flows. Year Amount 1 Rs. 3000 2 Rs.5000 3 Rs.7000 4 Rs. 10000 Q.4 What is the present value of a 4-year annuity‚ if the annual interest is 5%‚ and the annual payment is $1‚000
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beneficial to pay off the debt vs. putting money in a savings account? Explain the pros and cons of either option. I think with a 14% interest rate is would be beneficial to pay off the debt instead of putting money in a savings account. I would pay it off as fast as possible because the cost would be after 1 year with 14% $11‚449.00‚ and after four years $17‚181l86. This would be a big lump sum of money I could save if I pay it off fast. Pros and cons of saving money: I would have some savings I could
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Money is an essential part of everyday existence and in order to understand and handle money matters‚ financial managers must understand how factors such as time and discount interest rates affect value. Money has a time value associated with it and therefore‚ a dollar today is worth more than a dollar in the future (Block & Hirt‚ 2005). Today money can be invested to earn interest to create more cash later or decrease the value over time. This paper will explain various financial applications of
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