Exam 12: Compound Interest and Present Value

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A table factor of 0.7312 from the present value table in this chapter means that a certain rate of interest for a certain period of time will equal:

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A

Abe Frill wants to attend AVP Tech. He will need to have $15,000 seven years from today. How much should Abe put in the bank today (12% quarterly)to reach his goal in the future?

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$6,556.50

Paul Lospennato wants to buy a house five years from today for $90,000. Paul wants you to calculate how much he needs today to put in the bank (10% compounded semiannually)to reach his goal in the future.

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$55,251

A table factor of 0.7513 from a present value table means that if $.75 is invested at a certain rate of interest for a certain number of periods, it would be worth $1 in the past.

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Present value does not:

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Solve by using compound table: Principal Rate Time When Compounded Total Amount \ 8,000 10\% 3 years Semiannually ?

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Complete without using table: Principal Time Rate of Compound When Compounded \# of Periods to be Compounded Total Amount Total Interest \ 300 1 year 16\% Quarterly A B C

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Molly Scupper wants to attend Clarke University. She will need $90,000 eight years from today. Assume Molly's bank pays 6% interest compounded semiannually. What must Molly deposit today to have $90,000 in eight years? Verify your answer.

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Interest = principal × rate divided by the time.

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Match the following terms with their definitions. -Semiannually

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Jane is having difficulty deciding whether to put her savings in the Mystic Bank or in the Four Rivers Bank. Mystic offers a 12% rate compounded quarterly, and Four Rivers offers 14% compounded semiannually. Jane has $40,000 to invest and expects to withdraw the money at the end of five years. (Use the tables in the handbook.)The best deal is:

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Travis Brown deposited $17,500 into Browning Bank, which pays 4% compounded quarterly. Calculate how much Travis will have in his account at the end of seven years.

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Match the following terms with their definitions. -Periods

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Solve by using compound table: Principal Time Rate of Compound When Compounded \# of Periods to be Compounded Total Amount Total Interest \ 300 1 year 6\% Quarterly A B C

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Using the table in your handbook, $6,000 for six years at 8½% compounded daily will grow to:

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Helga Thalhimer will need to replace the registration software for her agency in five years. She received an estimate that it will cost $40,000 when she is ready to replace. What must Helga deposit today at 6% compounded quarterly to have enough to update her system?

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Use the present value table to complete: Future Amount Length of Rate Table Rate P.V. P.V. Desired Time Compounded Period Used Factor Amount \ 11,000 6 yrs 12\% quarterly A B C D

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Present value starts with the future and tries to calculate its worth in the present.

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The rate used in compounding is found by taking the annual rate divided by the number of times compounded per day.

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Janet Ring estimates she will need $35,000 for a new computerized office system. Janet decided to put aside the money today so that it will be available in 10 years. Pod Bank offers Janet 8% interest compounded semiannually. How much must Janet invest today to have $35,000 in 10 years?

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