Exam 16: The Time Value of Money

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

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As the discount rate required by an investor increases, the present value of an investment decreases.

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The obligation for deferred income taxes is the only long-term liability that is not reported at its present value.

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Anthony Driver wants to buy a new car in 4 years. He knows that he can earn 6% interest compounded semi-annually. How much must he deposit now in order to have $26,000 at the end of 4 years?

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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 you receive $20,000 as a gift and invest it at 12% compounded quarterly, how much will you have at the end of three years?

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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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To determine the amount to be deposited in a bank today to grow to $5,000 three years from now at 7% which table should be used?

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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 present value of a cash amount:

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(a) How long will it take Barbara to accumulate $30,000 to buy a car if she invests $15,000 at 5%? (b) How long will it take if she invests the same amount at 4% semi-annually?

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The future amount of an annuity is calculated by multiplying the periodic payment amount by the discounted factor from the future value of an annuity table.

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How much must I invest today in order to have $25,000 in 5 years assuming 12% interest compounded annually?

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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?

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Compounding interest assumes the interest on an investment is reinvested.

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Explain what is meant by the "time value of money." Provide examples.

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The lower the discount rate of an investment, the lower the present value of the investment.

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An interest rate of 12% a year is the same as 6% for 2 months.

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The present value of an investment is:

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If you invested $10,000 at 6% on your 20th birthday how much would you have on your 40th birthday?

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