Exam 3: Time Value of Money - Introduction

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How long does it take for your money to double when invested at the rate of 3% (with annual compounding)?

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Your grandparents bought their collection of one hundred silver dollars at face value in 1952.If they appreciated at a rate of 3% per year,how much were they worth in 2006?

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The future value of $100 received today and deposited in an account for four years paying semiannual interest of 6 percent is:

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What is the effective interest rate of 4% compounded quarterly?

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A real estate agent wants you to buy a plot of land today for $60,000 and he promises that you can sell it back to him in 7 years for $100,000.If you can earn 9% on alternative investments,then what is the present value of the sales proceeds? Is this a worthwhile investment?

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You have just won $50,000 on your Scratch and Win ticket,but you won't be awarded the money until your 40th birthday,20 years from now.If the appropriate discount rate is 15%,what is the present value of your winnings?

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

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You have just borrowed $20,000 to buy a new car.The loan agreement calls for 60 monthly payments of $444.89 each to begin one month from today.If the interest is compounded monthly,then what is the effective annual rate on this loan?

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Leon's has a "Don't Pay For One Year" event on right now at the store,so you purchase an Italian,hand-stitched leather sofa.You will pay $1,267.99 for the sofa in one year.You have a savings account that pays 3% annual interest.How much must you deposit in your account today in order to have enough money to pay for the sofa in one year?

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The future value of a dollar ________ as the interest rate increases and ________ the farther in the future an initial deposit is to be received.

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What is the future value of $16.54 after two years if these funds can be invested to earn 5.5%,compounded annually?

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Which of the following problems could not be addressed by using compounding or discounting techniques?

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You wish to deposit $7,000 in an account at the Shylock Bank.The bank pays interest at a nominal annual rate of 10% compounded monthly.What is the future value in the account after seven years?

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You have the opportunity to purchase an insurance policy for your newborn son.You must make the payments shown in the table.After his fifth birthday no more payments are required.If your son reaches the age of 60,then the insurance company will pay him $90,000.Alternatively,you could invest the money in a savings account.Your banker promises to pay you interest at the rate of 8% for the first 5 years (from now until your son's fifth birthday),but only promises 4% every year after that.Should you buy the policy or invest in the savings account? You have the opportunity to purchase an insurance policy for your newborn son.You must make the payments shown in the table.After his fifth birthday no more payments are required.If your son reaches the age of 60,then the insurance company will pay him $90,000.Alternatively,you could invest the money in a savings account.Your banker promises to pay you interest at the rate of 8% for the first 5 years (from now until your son's fifth birthday),but only promises 4% every year after that.Should you buy the policy or invest in the savings account?

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Drexel Corporation has been enjoying a phenomenal rate of growth since its inception one year ago.Currently,its assets total $100,000.If growth continues at the current rate of 12% compounded quarterly,what will total assets be in 2 1/2 years? (Round to the nearest whole dollar)

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The future value of $200 received today and deposited at 8 percent compounded semi-annually for three years is:

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If a United States saving bond can be purchased for $14.60 and has a maturity value at the end of 25 years of $100,what is the annual rate of return on the bond?

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You currently have $48,000 in your bank account,which pays annual interest of 5%,and you are saving up to buy a brand new $150,000 Jaguar convertible.In how many years will you have enough money to buy the car?

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A recent advertisement in the financial section of a magazine carried the following claim: "Invest your money with us at 14 percent,compounded annually,and we guarantee to double your money sooner than you imagine." Ignoring taxes,how long would it take to double your money at a nominal rate of 14 percent,compounded annually?

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What is the future value of $124.49 after earning simple interest for five years at an annual rate of 10%?

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