Exam 14: Applying Present and Future Values

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From the perspective of a depositor,a savings account is a liability with interest.

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A company can use present and future value computations to estimate the interest component of holding assets over time.

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Future value can be found if the interest rate (i),the number of periods (n),and the present value (p) are known.

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

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An interest rate is also called a discount rate.

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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?

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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 present value of 1 formula is often useful when a borrowed asset must be repaid in full at a later date and the borrower wants to know its worth at the future date.

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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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To calculate present value of an amount,two factors are required: __________________ and ___________________.

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

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

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

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An ordinary annuity refers to a series of equal payments made or received at the end of equal intervals.

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Interest is:

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A company borrows money from the bank by promising to make eight semiannual payments of $9,000 each.How much is the company able to borrow if the interest rate is 10% compounded annually?

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You hope to retire in 10 years.Regrettably you are only just now beginning to save money for this purpose.You expect to save $6,000 a year at an annual rate of 8%.How much will you have accumulated when you retire?

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At an annual interest rate of 8% compounded annually,$5,300 will accumulate to a total of $7,210.65 in five years.

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The future value of an ________________ annuity is the accumulated value of each annuity payment with interest as of the date of the final payment.

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