Exam 14: Time Value of Money

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Sam has a loan that requires a single payment of $4,000 at the end of three years.The loan's interest rate is 6%, compounded semiannually.How much did Sam borrow?

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An annuity is a series of equal payments occurring at equal intervals.

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Explain the concept of the present value of a single amount.

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What amount can you borrow if you make six quarterly payments of $4,000 at a 12 % annual rate of interest?

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Explain the concept of the present value of an annuity.

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Sandra has a savings account that is now $50,000.She started with $28,225 and earned interest at 10% compounded annually.It took five years to accumulate the $50,000.

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The number of periods in a present value calculation can only be expressed in years.

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A company has $50,000 today to invest in a fund that will earn 7%.How much will the fund contain at the end of eight years?

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How long will it take an investment of $25,000 at 6% compounded annually to accumulate to a total of $35,462.50?

(Multiple Choice)
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Big League Sports borrowed $883,212 and must make annual year-end payments of $120,000 each.If the applicable interest rate is 6%, how many years will it take Big League Sports to pay off the loan?

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Explain the concept of the future value of an annuity.

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A company is setting aside $21,354 today and wishes to have $30,000 at the end of three years for a down payment on a piece of property.What interest rate must the company earn?

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Troy has $105,000 now.He has a loan of $175,000 that he must pay at the end of five years.He can invest his $105,000 at 10% interest compounded semiannually.Will Troy have enough to pay his loan at the end of the five years?

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The present value of $5,000 per year for three years at 12% compounded annually is $12,009.

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An individual is planning to set-up an education fund for her children.She plans to invest $10,000 annually at the end of each year.She expects to withdraw money from the fund at the end of 10 years and expects to earn an annual return of 8%.What will be the total value of the fund at the end of 10 years?

(Multiple Choice)
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Jon Shear expects an investment of $25,000 to return $6,595 annually.His investment is earning 10% per year.How many annual payments will he receive?

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A company is considering an investment that will return $20,000 at the end of each semiannual period for four years.If the company requires an annual return of 10%, what is the maximum amount it is willing to pay for this investment?

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