Exam 6: Time Value of Money

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A deposit of $4,000 at the beginning of each year will grow to $1,081,170 in 30 years if invested at12% compounded annually.

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A local brokerage firm is offering a zero coupon certificate of deposit for $10,000. At maturity, threeyears from now, the investor will receive $14,000. What is the rate of return on this investment?

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Julian was given a gold coin originally purchased for $1 by his great grandfather 50 years ago.Today the coin worth $450. The rate of return realized on the sale of this coin is approximatelyequal to

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A $40,000 five year car loan at 12% compounded monthly will require monthly payments of $890.

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The future value of an ordinary annuity of $2,000 each year for 10 years, deposited at 12 percent, is ________.

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$1,200 is received at the beginning of year 1, $2,200 is received at the beginning of year 2, and$3,300 is received at the beginning of year 3. If these cash flows are deposited at 12 percent, theircombined future value at the end of year 3 is ________ .

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Money invested at 6% compounded quarterly takes 11.64 years to double in value.

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The future value of an annuity due is always greater than the future value of an otherwise identical ordinary annuity.

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You recently graduated and borrowed $10,000 from you parents. Your parents want you to be responsible and have asked that you repay them $100 per month payable at the end of each month. They also require a 6% compounded monthly interest charge. How many years before you will have this loan paid off?

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The future value of a $2,000 annuity due deposited at 8 percent compounded annually for each ofthe next 10 years is ________.

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The present value of an ordinary annuity of $350 each year for five years, assuming an opportunity cost of 4 percent, is _________.

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What is the highest effective rate attainable with a 12 percent nominal rate?

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The amount of money that would have to be invested today at a given interest rate over a specified period in order to equal a future amount is called

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You are planning for you newly arrived daughters education in 18 years when she heads off to university. You have a $1,000 and would like to have $10,000 when she enters school. What interest rate must be earned on your investment for this to be possible?

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Currently you are 25 years old and planning for retirement in 30 years. You plan to buy into a mutual fund at $100 per month and expect to obtain a return of 1.25% per month. How much will the mutual fund be worth in 30 years?

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A local bank is offering a zero coupon certificate of deposit for $25,000. At maturity, three yearsfrom now, the investor will receive $32,000. What is the rate of return on this investment?

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In comparing an ordinary annuity and an annuity due, which of the following is true?

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A generous philanthropist plans to make a onetime endowment to a renowned heart researchcenter which would provide the facility with $250,000 per year into perpetuity. The rate of interestis expected to be 8 percent for all future time periods. How large must the endowment be?

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How much will an investment of $1,000 earning 12% compounded monthly be worth in 40 years?

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You just made your $459 monthly car loan payment and have 22 payments remaining. If your loan rate is at 12% APR, the outstanding balance is $10,241.

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