Exam 3: The Time Value of Money Part 1

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In the equation r = (FV/PV)1/n - 1,the r is sometimes referred to as the ________.

(Multiple Choice)
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An investment of $100 today is worth $116.64 at the end of two years if it earns an annual interest rate of 8%.How much interest is earned in the first year and how much in the second year of this investment?

(Multiple Choice)
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Consider the TVM equation: Present value and time period are inversely related.

(True/False)
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If you can earn 5.25% per year on your investments,how long will it take to double your money?

(Multiple Choice)
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$5,000 invested at an annual rate of 6% for 3 years has a smaller future value than $5,000 invested at an annual rate of 3% for 6 years.

(True/False)
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Buying your own home is often mentioned as "the best investment you can make." In 1930,the average home sale price was $3,845.By 1990,the average home sale price had risen to $123,000.What was the average annual rate of change in the price of houses over this time period?

(Multiple Choice)
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Andy would like to buy a new car but must complete a two-year commitment to the Peace Corp before he will drive the new car.The current price of the car Andy wants to buy is $22,000,and the dealer expects the price of a similar new car to be $24,000 in two years.If Andy can earn an annual interest rate of 3% on his money,should he buy the car now or wait for two years? Why? Note: Storage costs if Andy purchases the car are $0.Please limit your considerations to the factors offered in the answer choices.

(Multiple Choice)
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A manufacturer of LCD televisions has seen sales increase from 125,000 units per year to 500,000 units per year in 8 years.What has been the firm's average annual rate of increase in the number of television sets sold? Use the Rule of 72 to determine your answer.

(Multiple Choice)
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The dividends per share paid by Fantastically Fine Ferns Inc.(FFF)doubled from a starting value of $1.50 in 2007 to a value of $3.00 in 2013 (a six-year period).What was the approximate average annual rate of growth of FFF's dividends per share? Use the Rule of 72 to determine your answer.

(Multiple Choice)
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A two-year investment of $200 is made today at an annual interest rate of 6%.Which of the following statements is true?

(Multiple Choice)
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Given an interest rate of 0%,the present value of $1,500 to be received 5 years in the future is less than $1,500.

(True/False)
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A furniture store has a sofa on sale for $399.00,with the payment due one year from today.The store is willing to discount the price at an annual rate of 5% if you pay today.What is the amount if you pay today?

(Multiple Choice)
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You have saved $1,200 for a used motorcycle that has a current price of $1,500.If your money is sitting in an account earning 2.50% per year,how long will it take for this account to grow to $1,500? Note: The motorcycle's price may have changed by the time your account reaches a value of $1,500.

(Multiple Choice)
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Given enough time,you could double your money with a risk-free investment.

(True/False)
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Even if you are given a present value,a future value,and an interest rate,solving for the time period "n" is still a trial-and-error process.

(True/False)
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The question "At what rate is my money growing over time?" is best answered by which form of the TVM equation?

(Multiple Choice)
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Consider the TVM equation: the variable "r" may be defined as the discount rate or the growth rate depending upon how the equation is being used.

(True/False)
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Harold's parents have offered him a $10,000 high school graduation gift with an option for another $20,000 upon graduation from college in four years.His friends tell him this is a $30,000 gift from his parents,but Harold already knows something about the time value of money.If the expected inflation rate over the next four years is expected to be 4% per year,what does Harold think the gift is worth in today's dollars? How should he explain his thinking to his friends?

(Essay)
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You intend to buy a vacation home in seven years and plan to have saved $50,000 for a down payment.How much money would you have to place today into an investment that earns 8% per year to have enough for your desired down payment?

(Multiple Choice)
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The television commercial pitchman tells you he can double your money with a risk-free investment in just 10 years.If this is true,what interest rate must this risk-free investment earn on an annual basis? Solve this question using the Rule of 72 and then in a more exact fashion using a formula,your calculator,or computer.In today's rate environment,is the interest rate that you solved for a realistic annual rate of return for a risk-free investment?

(Essay)
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