Exam 5: Time Value of Money

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Level sets of frequent,consistent cash flows are called:

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A local furniture store is advertising a deal in which you buy a $3,500 living room set with three years before you need to make payments (no interest is incurred).How much money would you have to deposit now in a savings account earning 3.5 percent APR,compounded monthly,to pay the $3,500 bill in three years?

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Given a 7 percent interest rate,compute the year 8 future value of deposits made in years 1,2,3,and 4 of $750,$1,200,$500,and $250.

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Consider that you are 30 years old and have just changed to a new job.You have $91,000 in the retirement plan from your former employer.You can roll that money into the retirement plan of the new employer.You will also contribute $4,800 each year into your new employer's plan.If the rolled-over money and the new contributions both earn a 7 percent return,how much should you expect to have when you retire in 38 years?

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Explain why the effective annual rate (EAR)is a more accurate measure of the interest rate paid than the annual percentage rate (APR)?

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Your current $95,000 mortgage calls for monthly payments over 30 years at an annual rate interest rate of 6 percent.If you pay an additional $50 each month beginning with the first payment,how soon do you pay off your mortgage?

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When moving from the left to the right of a time line,we are using:

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What is the interest rate of a 6-year,annual $10,000 annuity with a present value of $40,000?

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As a college student,you probably receive many credit card offers in the mail.Consider these two offers.The first card charges a 17 percent APR.An examination of the footnotes reveals that this card compounds monthly.The second credit card charges 16.25 percent APR and compounds weekly.What is the effective annual rate of the cheaper card?

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Your company borrows $55,000 today to fund its growth initiatives.It must repay the bank in four annual payments of $17,100 at the end of each year.What annual interest rate is your firm paying?

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Which of the following will increase the present value of an annuity?

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Annuity Interest Rate What is the interest rate of a 6-year,annual $3,000 annuity with present value of $14,000?

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Which of the following will decrease the present value of an annuity?

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Given a 10 percent interest rate,compute the year 9 future value if deposits of $10,000 and $20,000 are made in years 1 and 5 respectively,and a withdrawal of $5,000 is made in year 7.

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You have reviewed your budget and determine that the most you can afford on a car loan is $455 per month.What is the most you can borrow if interest rates are 7 percent and you can pay the loan over four years?

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A perpetuity pays $250 per year and interest rates are 5.5 percent.How much would its value change if interest increased to 8.5 percent? Did the value increase or decrease?

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Future Value of an Annuity Due If the future value of an ordinary,4-year annuity is $1,000 and interest rates are 6 percent,what is the future value of the same annuity due?

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Future Value Given a 4 percent interest rate,compute the year 6 future value of deposits made in years 1,2,3,and 4 of $1,000,$1,200,$1,200,and $1,400.

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Your company borrows $75,000 today to fund its growth initiatives.It must repay the bank in four annual payments of $26,600 at the end of each year.What annual interest rate is your firm paying?

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Compound Frequency Payday loans are very short-term loans that charge very high interest rates.You can borrow $500 today and repay $550 in two weeks.What is the compound annual rate implied by this 10 percent rate charged for only two weeks?

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