Exam 21: toward a Fuller Understanding of Present Value

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The net present value of a project is the difference between:

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Other things equal, the _____ the loan period, the _____ the present value.

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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 a certain amount 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 interest rate is 10%, solve for the amount of tuition that would make you indifferent between going to college and working immediately.

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The net present value (NPV) of an activity or project is equal to the _____ value of all of the revenues minus the _____ value of all of the costs associated with it.

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You win a prize at your sorority, and you are given the following two payoff options: Option 1 is to receive $100 one year from today and $100 two years from today. Option 2 is to receive $180 today. If the annual interest rate is 10%, the present value of option 1 is:

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The present value (PV) of a payment n years in the future (FV), given an interest rate (r), is given by the equation:

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The present value (PV) of a payment one year in the future (FV), given an interest rate (r), is given by the equation:

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The present value of a future payment will be smaller the:

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You win a prize at your sorority and you are given the following two payoff options: Option 1 is to receive $100 one year from today and $100 two years from today. Option 2 is to receive $180 today. If the annual interest rate is 5%, the present value of option 1 is:

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To finance your education, you borrow $10,000 from a relative at an annual interest rate of 5%. You promise to pay her back in eight years. Which formula will provide the correct formula for calculating the value of your payment in eight years?

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You have won the lottery and have been given the choice of receiving $5 million today or $10 million after 10 years. Assume that the interest rate remains fixed at 10% per year for the entire 10-year period. You should choose:

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Suppose the university offers the following payment plan: Either you pay $80,000 when enrolling as a freshman or you pay $25,000 at the beginning of your freshman year and $25,000 at the beginning of every year for the next three years. If the annual interest rate is 5%, then you should take option 1 and pay $80,000 at the beginning of your first year.

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Which of the following statements is TRUE?

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If a firm finds that the net present value of a project is _____ for a given interest rate, it will _____ the project.

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If a firm considering the purchase of an asset determines that the asset's net present value is greater than zero, then _____ the asset will _____ profits.

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The present value of a future payment decreases if the:

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