Exam 5: The Time Value of Money

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Using the "Rule of 72," about how long will it take a sum of money to double in value if the annual interest rate is 9 percent?

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C

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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What is the present value of the following net cash flows if the discount rate is 10%? Year Net Cash Flow 1-10 \ 20,000 each year 11-15 \ 15,000 each year 16-20 \ 10,000 each year

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B

The values shown in ordinary annuity tables (either present value or compound value) can be adjusted to the Annuity due form by the ordinary annuity interest factor by .

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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 earnings of Omega Supply Company have grown from $2.00 per share to $4.00 per share over a nine year time period.Determine the compound annual growth rate.

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The Summer Breeze Hotel borrowed $100,000 from the Meadowlands Bank to pay for a new air conditioning system.The loan is for a period of 5 years at an interest rate of 10% and requires 5 equal end-of-year payments that include both principal and interest on the outstanding balance.What will be the outstanding balance after the third payment?

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The process of finding present values is frequently called

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Based on the Rule of 72, what interest rate do you need to earn to double your money in 6 years?

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Your monthly statement from your bank credit card shows that the monthly rate of interest is 1.5%.What is the annual effective rate of interest you are being charged on your credit card?

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You have just calculated the present value of the expected cash flows of a potential investment.Management thinks your figures are too low.Which of the following actions would improve the present value of your cash flows?

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

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When using a present value of an annuity table (e.g., Table IV at the back of the book),

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What is the present value of the following mixed cash flow stream if interest is 6% (rounded)? YAAR QASH FLOW 1 \ 5,000 2 40,000 3 \ 9,500

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The of a perpetual stream of equal, annual returns (PMT) discounted at i% per year is equal to .

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Columbia Bank & Trust has just given you a $20,000 term loan to pay for a new concrete mixer.The loan requires five equal annual end of the year payments.If the loan provides the bank with a 12 percent return, what will be your annual payments?

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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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How much will you have at the end of 5 years in a European vacation account if you deposit $200 a month in an account that is paying a nominal 12 percent per year, compounded monthly?

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