Exam 5: The Time Value of Money

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What is the relationship between an annually compounded rate and the annual percentage rate (APR)which is calculated for truth-in-lending laws for a loan requiring monthly payments?

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Given a set future value,which of the following will contribute to a lower present value?

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If a borrower promises to pay you $1,900 nine years from now in return for a loan of $1,000 today,what effective annual interest rate is being offered if interest is compounded annually?

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Any sequence of equally spaced,level cash flows is called an annuity.An annuity is also known as a perpetuity.

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What APR is being earned on a deposit of $5,000 made 10 years ago today if the deposit is worth $9,848.21 today? The deposit pays interest semiannually.

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What is the present value of a four-year annuity of $100 per year that begins 2 years from today (end of year 1)if the discount rate is 9%?

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How much must be invested today in order to generate a 5-year annuity of $1,000 per year,with the first payment 1 year from today,at an interest rate of 12%?

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If $120,000 is borrowed for a home mortgage,to be repaid at 9% interest over 30 years with monthly payments of $965.55,how much interest is paid over the life of the loan?

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Nominal dollars refer to the amount of purchasing power.

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If the future value of an annuity due is $25,000 and $24,000 is the future value of an ordinary annuity that is otherwise similar to the annuity due,what is the implied discount rate?

(Multiple Choice)
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"Give me $5,000 today and I'll return $10,000 to you in 5 years," offers the investment broker.To the nearest percent,what annual interest rate is being offered?

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Your real estate agent mentions that homes in your price range require a payment of $1,200 per month for 30 years at 9% interest compounded monthly.What is the size of the mortgage with these terms?

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What is the present value of a five-period annuity of $3,000 if the interest rate per period is 12% and the first payment is made today?

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

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What is the APR on a loan with an effective annual rate of 15.26% and weekly compounding of interest?

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With $1.5 million in an account expected to earn 8% annually over the retiree's 30 years of life expectancy,what annual annuity can be withdrawn,beginning today?

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A corporation has promised to pay $1,000 20 years from today for each bond sold now.No interest will be paid on the bonds during the 20 years,and the bonds are discounted at an interest rate of 7%,compounded semiannually.Approximately how much should an investor pay for each bond?

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Other things being equal,the more frequent the compounding period,the:

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The present value of an annuity stream of $100 per year is $614 when valued at a 10% rate.By approximately how much would the value change if these were annuities due?

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Real interest rates:

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