Exam 9: The Time Value of Money

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Pedro Gonzalez will invest $5,000 at the beginning of each year for the next 9 years. The interest rate is 8 percent. What is the future value?

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The interest factor for the present value of a single amount is the inverse of the future value interest factor.

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The higher the rate used in determining the future value of a $1 annuity,

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After 10 years, 100 shares of stock originally purchased for $500 was sold for $900. What was the yield on the investment? Choose the closest answer.

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As the interest rate increases, the interest factor (IF) for the present value of $1 increases.

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In January, 2000, Harold Black bought 100 shares of Country Homes for $37.50 per share. He sold them in January, 2010 for a total of $9,715.02. Calculate Harold's annual rate of return.

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John Doeber borrowed $150,000 to buy a house. His loan cost was 6% and he promised to repay the loan in 15 equal annual payments. How much are the annual payments?

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Under what conditions must a distinction be made between money to be received today and money to be received in the future?

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The Swell Computer Company has developed a new line of desktop computers. It is estimated that the cash returns generated by the new product line will be $800,000 per year for the next five years, and then $500,000 per year for 3 years after that (the cash returns occur at the end of each year). At a 9% interest rate, what is the present value of these cash returns?

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The concept of time value of money is important to financial decision making because

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Discounting refers to the growth process that turns $1 today into a greater value several periods in the future.

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Higher interest rates (discount rates) reduce the present value of amounts to be received in the future.

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As the time period until receipt increases, the present value of an amount at a fixed interest rate

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As the discount rate becomes higher and higher, the present value of inflows approaches

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If a single amount were put on deposit at a given interest rate and allowed to grow, its future value could be determined by reference to the future value of $1 table.

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The interest factor for the future value of a single sum is equal to (1 + n)i.

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To determine the current worth of 4 annual payments of $1,000 at 4%, one would refer to a table for the present value of $1.

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Joe Nautilus has $210,000 and wants to retire. What return must his money earn so he may receive annual benefits of $30,000 for the next 10 years.

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When the inflation rate is zero, the present value of $1 is identical to the future value of $1.

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In evaluating capital investment projects, current outlays must be judged against the current value of future benefits.

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