Exam 27: The Time Value of Money: Future Amounts and Present Values Answer Key

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If I invest $100 at the end of each year for four years at 6% how much will I have at the end of the fourth year?

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The present value of a single amount is calculated by multiplying the future amount by the present value of $1 table.

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

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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.

(True/False)
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Use the tables to determine the answers to the following: (1) How much must be invested now for 5 periods at 6% to amount to $15,000? (2) How much is $3,000 invested now at 8% in 8 periods worth? (3) How much is $25,000 compounded quarterly at 12% for 4 years?

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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?

(Multiple Choice)
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Joe Notsosmart invested $10,000 at 8% simple interest for 5 years. How much more would he have received if he had received compound interest annually at the same rate?

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The difference between the present value and the future value of a sum of money depends upon:

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The future value of an annuity is:

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The present value of an investment is:

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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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Discounting a future amount of a cash receipt will determine the present value of that receipt.

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Judy Bright has just won the lottery. She can elect to receive her winnings in equal payments of $200,000 a year for the next ten years on December 31 or to receive $2,000,000 immediately. If the current interest rate is 6%, which choice will provide the highest amount:

(Multiple Choice)
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Joan is 75 years old and wishes to retire. She needs to have $48,000 a year plus her social security to live in the style she is accustomed to. She would like to have enough money in her retirement account which earns 5% compounded annually to support her for the next 15 years. How much must be in the fund if she takes the first payment at year-end?

(Short Answer)
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A note that does not include an interest rate should be recorded at:

(Multiple Choice)
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The lower the discount rate of an investment, the lower the present value of the investment.

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

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

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

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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.

(True/False)
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