Exam 5: The Time Value of Money

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You sold 100 shares of stock today for $30 per share that you paid $20 for 6 years ago. Determine the average annual rate of return on your investment, assuming the stock paid no dividends.

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You just purchased a new $25,000 car and agreed to pay for the car in 50 monthly payments. If the monthly interest rate is 1 percent, what is your total financing cost?

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The process of finding present values is frequently called ____.

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____ interest is paid not only on the principal but also on any interest earned but not withdrawn during earlier periods.

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The effective rate of interest will always be ____ the nominal rate.

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Which of the following statements is (are) correct? I. At 6% interest, the present value of $400 for the first year, $600 for the second year, and $800 for the third year is $1,603. II. The future value of the following mixed cash flow stream (if it is from an annuity due at 6% interest) $400 for the first year, $600 for the second year, and $800 for the third year is $1,999 (rounded).

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If the discount rate is 12%, what is the present value of the following cash flows? Year Cash Flow 1 \ 10,000 2 \ 11,000 3 \ 12,000 4 \ 13,000 5 \ 14,000 6-15 \ 15,000 each year

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Comet Powder Company has purchased a piece of equipment costing $100,000. It is expected to generate a ten-year stream of benefits amounting to $16,273 per year. Determine the rate of return Comet expects to earn from this equipment.

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When using a financial calculator, i stands for the ____.

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____ is the return earned by someone who has forgone current consumption.

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BB&C bank has agreed to lend you $30,000 today, but you must repay $42,135 in 3 years. What rate is the bank charging you?

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The present value of a(n) ____ is determined by dividing the annual cash flow by the interest rate.

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The Florida lottery agrees to pay the winner $250,000 at the end of each year for the next 20 years. What is the future value of this lottery if you plan to put each payment in an account earning 9 percent?

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What is the net present value rule?

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A(n) ____ is a financial instrument that agrees to pay an equal amount of money per period into the indefinite future (i.e., forever).

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If a 16-year-old high school student put $2,000 at the end of each year for 4 years into an IRA that earned a rate of 9%, how much would she have accumulated by age 65? Assume funds are left to accumulate for 45 years (age 20-65) at 9%.

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When using a financial calculator, n stands for the ____.

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John is 25 years old and wishes to retire in 30 years. His plan is to invest in a mutual fund earning a 12 percent annual return and have a $1 million retirement fund at age 55. How much must he invest at the end of each year to achieve this goal?

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What is the present value of the following mixed cash flow stream if interest is 6% (rounded)? YEAR CASH FLOW 1 \ 5,000 2 \ 8,000 3 \ 9,500

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Many IRA fund managers argue that investors should invest at the beginning of the year rather than at the end. What is the difference to an investor who invests $2,000 per year at 11 percent over a 30-year period?

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