Exam 5: The Time Value of Money

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Compound interest pays interest for each time period on the original investment plus the accumulated interest.

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How much must be saved at the end of each year for the next 10 years in order to accumulate $50,000,if you can earn 9% annually? Assume you contribute the same amount to your savings every year.

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An interest rate that has been annualized using compound interest is termed the:

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Approximately how much should be accumulated by the beginning of retirement to provide a $2,500 monthly check that will last for 25 years,during which time the fund will earn 6% interest with monthly compounding?

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The APR on a loan must be equal to the effective annual rate when:

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What happens over time to the real cost of purchasing a home if the mortgage payments are fixed in nominal terms and inflation is in existence?

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As long as the interest rate is positive,the future value will always be larger than the present value given any period of time.

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What is the present value of the following payment stream,discounted at 8% annually: $1,000 at the end of year 1,$2,000 at the end of year 2,and $3,000 at the end of year 3?

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An amortizing loan is one in which:

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The Excel function for present value is PV (rate,nper,pmt,FV).

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Accrued interest declines with each payment on an amortizing loan.

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On the day you retire you have $1,000,000 saved.You expect to live another 25 years during which time you expect to earn 6.19% on your savings while inflation averages 2.5% annually.Assume you want to spend the same amount each year in real terms and die on the day you spend your last dime.What real amount will you be able to spend each year?

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What is the expected real rate of interest for an account that offers a 12% nominal rate of return when the rate of inflation is 6% annually?

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What is the present value of $100 to be deposited today into an account paying 8%,compounded semiannually for 2 years?

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What is the future value of $10,000 on deposit for 5 years at 6% simple interest?

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How much interest will be earned in an account into which $1,000 is deposited for one year with continuous compounding at a 13% rate?

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For a given amount,the lower the discount rate,the less the present value.

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If interest is paid m times per year,then the per-period interest rate equals the:

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How much more is a perpetuity of $1,000 worth than an annuity of the same amount for 20 years? Assume an interest rate of 10% and cash flows at the end of each period.

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You will be receiving cash flows of: $1,000 today,$2,000 at end of year 1,$4,000 at end of year 3,and $6,000 at end of year 5.What is the present value of these cash flows at an interest rate of 7%?

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