Exam 16: The Time Value of Money

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Future value is the amount that must be invested today at a specific interest rate to receive a particular amount at some future date.

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Sam Rivers has $3,000 to invest. He must decide whether to invest this money for five years at 10% compounded semi-annually or at 12% compounded annually. Which option should he select?

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Powers Company wishes to issue $2,000,000 of 8%, 10 year bonds which pay interest semi-annually. The current discount rate is 6%. What amount should the bonds sell for?

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The time value of money is based on the idea that:

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The present value of an annuity is calculated by multiplying the periodic cash flows by the discounted factor from the future value of an annuity table.

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The future value of an investment gradually increases toward the present amount.

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An annuity due assumes the cash flow will occur at the beginning of the period.

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The future amount of an annuity is calculated by multiplying the present value of the annuity by its applicable factor from a table.

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If I invest $20,000 at 2.5% today, how long will it take to reach a minimum of $50,000 compounded semi-annually?

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Financial instruments do not include:

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The rate of interest is usually expressed as an annual rate.

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A note that does not include an interest rate should be recorded at:

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If I invest $50,000 today for 5 years and it grows to $84,253, what rate of interest have I received?

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The present value of an ordinary annuity is the amount that equals payments made at the end of successive equal periods is worth today.

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Compound interest:

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Your wealthy aunt wishes to give you a trip to Paris when you graduate from college in three years. She estimates the trip will cost $4,000. How much must she invest now at 4% to accumulate enough for you to take this trip?

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Belle invests $200 at the end of each year in a savings account which pays 5% annually. How much will Belle have at the end of 5 years?

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The market price of a bond is equal to its present value.

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To determine the present value of a single amount to be received or paid at a future time you need to know all of the following except:

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The present value of a single amount can only be calculated through the application of complex calculations.

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