Exam 26: Time Value of Money

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The present value of $2,000 to be received nine years from today at 8% interest compounded annually is $1,000. Calculation: $2,000 x 0.5002 = $1,000.

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You are little late planning your retirement, but are looking forward to retiring in 10 years. 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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With deposits of $5,000 at the end of each year, you will have accumulated $38,578 at the end of the sixth year if the annual rate of interest is 10% Calculation: $5,000 x 7.7156 = $38,578.

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In a present value or future value table, the length of one time period may be interpreted as one year, one month, or any other length of time.

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A company is beginning a savings plan. It will be saving $15,000 per year for the next 10 years. How much will the company have accumulated after the tenth year-end deposit, assuming the fund earns 10% interest?

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A company is considering investing in a project that is expected to return $350,000 four years from now. How much is the company willing to pay for this investment if the company requires a 12% return?

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

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Explain the concept of the present value of an annuity.

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A company expects to invest $5,000 today at 12% annual interest and plans to receive $15,529 at the end of the investment period. How many years will elapse before the company accumulates the $15,529?

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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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Daley Co. lends $524,210 to Davis Corporation. The terms of the loan require that Davis make six semiannual period-end payments of $100,000 each. What semiannual interest rate is Davis paying on the loan?

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Interest is:

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Thompson Company has acquired a machine from a dealer that requires a payment of $45,000 at the end of five years. This transaction includes interest at 8%, compounded semiannually. What is the value of the machine today?

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The present value of an annuity table can be used to determine the series of equal payments that are required by a loan agreement.

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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 5 years. Calculation: $7,210.65/$5,300 = 1.3605. This is the future value of 1 factor for 4 periods, 8%.

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The future value of an ordinary annuity is the accumulated value of each annuity payment with interest one period after the date of the final payment.

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What is interest?

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

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A company is considering an investment that will return $20,000 semiannually at the end of each semiannual period for 4 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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Chad is setting up a retirement fund, and he plans on depositing $5,000 per year in an investment that will pay 7% annual interest. How long will it take him to reach his retirement goal of $69,080?

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