Exam 21: toward a Fuller Understanding of Present Value

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The present value of a future payment:

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A

Use the following to answer questions: Use the following to answer questions:   -(Table: Present Value of Projects A, B, C, and D) Look at the table Present Value of Projects A, B, C, and D. If the annual interest rate is 10%, which project do you choose? -(Table: Present Value of Projects A, B, C, and D) Look at the table Present Value of Projects A, B, C, and D. If the annual interest rate is 10%, which project do you choose?

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B

You have heard about a new light bulb that is costly to purchase but uses little electricity and thus allows you to save money on your utility bill. Suppose the new light bulb costs $10 today but next year your electricity bill will be $50 lower. If the interest rate is 10%, what is the net present value of buying this new light bulb and using it for one year?

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D

The _____ the future payment, the _____ its present value, all other things held constant.

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The present value of a future payment _____if the _____.

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To finance your education, you borrow $10,000 from your aunt at an annual interest rate of 5%. If your cousin offers to lend you the same amount but suggests a lower interest rate and you take the offer, you will end up repaying your cousin _____ you would have to your aunt.

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You have recently graduated from high school and are debating whether to attend college or get a job. Assume that you can spend $50,000 today for tuition and receive your college degree in only one year. When you graduate, you will receive a job that pays you $100,000 immediately and $100,000 the following year. If you begin working immediately, you can earn $35,000 today and each of the next two years. If the annual interest rate is 10%, should you go to college?

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If a friend offers to pay you $1 five years from now, when the prevailing annual interest rate is 5%, what is the net present value of that $1 today?

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A semiconductor firm is considering opening a new plant. The plant will generate profits of $100 million at the end of each of three years after the first year of production and then no profits after that. If the interest rate is 10%, what is the maximum cost (to the nearest million) the firm is willing to pay now for the plant?

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Which of the following statements is INCORRECT?

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The present value of a future payment increases if the:

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Use the following to answer questions: Use the following to answer questions:   -(Table: Present Value of Projects A, B, C, and D) Look at the table Present Value of Projects A, B, C, and D. If the annual interest rate is 2%, which project do you choose? -(Table: Present Value of Projects A, B, C, and D) Look at the table Present Value of Projects A, B, C, and D. If the annual interest rate is 2%, which project do you choose?

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The present value of a painting that you expect to sell for $500 in three years is $405.22 if the annual interest rate is 5%.

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The _____ the period, the _____ is the present value of a given future payment, all other things held constant.

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If the friend offers to pay you $1 five years from today, the present value will:

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A firm is considering a new capital expenditure of $2 million. This expenditure is expected to yield $1 million in annual profits for each of two years. Given this information, the firm should _____ the project, _____

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As the manager of a professional football team, you just offered the kicker a two-year contract that pays $2 million at the end of each of the next two years. The kicker refuses the contract, stating he wants $3 million at the end of this year. If you offer $3 million at the end of this year, about how much will you have to offer at the end of next year to keep the present value of the contract the same as your original offer? Assume a 10% annual interest rate.

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A soft-drink bottling firm is thinking of opening a new distribution center. The center will cost $2.5 million to build today, and it will generate profits of $1 million one year from now, two years from now, and three years from now. The firm should build the distribution center if the interest rate is 9% or lower.

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Your grandmother has promised you $1,000 when you graduate in two years. At a 6% annual interest rate, you can borrow $890 and pay it all back with your grandmother's gift at graduation.

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Your friend wants to borrow $2,000 and pay it back in one year. She is someone who keeps her word. She agrees to repay you $2,080 in one year. The bank annual interest rate is 5%. Which of the following statements is TRUE?

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