Exam 12: Compound Interest and Present Value

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Trisha Long wants to buy a boat in five years. She estimates the boat will cost $15,000 at that time. What must Trisha deposit today in an account earning 5% annually to have enough to buy the boat in five years?

(Multiple Choice)
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Solve by using compound table: Principal Rate Time When Compounded Total Amount \ 15,000 12\% 4 years Quarterly ?

(Short Answer)
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Mia Kaminsky wants to attend Riverside Community College. She will need to have $25,000 six years from today. Mia is wondering what she will have to put in the bank today so that she will have $25,000 six years from now. Her bank pays 6% compounded semiannually. Using the tables in the handbook, the amount Mia will have to deposit is:

(Multiple Choice)
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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 Periods Used Factor Amount \ 12,000 12 yrs 12\% Semiannually A B C D

(Short Answer)
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Jim Ryan deposited $8,000 at National Bank at 6% interest compounded quarterly. What was the effective rate (APY)? (Round to the nearest hundredth percent.)

(Short Answer)
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Pete Sist wants to buy a new Chevrolet in five years. He estimates the car will cost $24,000. Assuming Pete invests $15,000 now at 10% interest compounded semiannually, will he have enough money to buy the car at the end of five years?

(Short Answer)
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The annual rate a bank advertises is the same as the effective rate.

(True/False)
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$100,000 for 20 years compounded at 4% annually results in a rate per period of:

(Multiple Choice)
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Burton Bush wants to retire in Arizona when he is 80 years of age. Burton, who is now 55, believes he will need $500,000 to retire comfortably. To date, he has set aside no retirement money. If he gets an interest rate of 6% compounded annually, he will have to invest today (use the tables in the handbook):

(Multiple Choice)
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The table for the compound value of $1 has only table factors over $1.00.

(True/False)
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In tables for calculating compound interest, the number of periods is equal to:

(Multiple Choice)
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Al Derover wants to buy a used jeep in five years. He estimates the cost will be $13,000. If he invests $8,500 now at a rate of 10% compounded semiannually, will he have enough money to buy the jeep at the end of five years? Show your work.

(Short Answer)
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Kelly Kuhn wants to purchase a new car for her son in five years. She estimates that the truck will cost $30,000 after all rebates. Assuming she invests at 8% compounded semiannually for five years, what must she invest today?

(Short Answer)
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Effective rate (APY)is:

(Multiple Choice)
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The interest on $6,000 at 6% compounded semiannually for eight years is (use table in the handbook):

(Multiple Choice)
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Compounding interest daily is seldom used in comparison to compounding once a year.

(True/False)
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Using the interest for daily compounding (in your handbook), $700 would grow to $790 at the end of three years at 8% interest.

(True/False)
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The effective rate (APY)can be calculated by the interest for one year divided by the principal.

(True/False)
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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 Periods Used Factor Amount \ 14,000 5 yrs 6\% quarterly A B C D

(Short Answer)
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Compounding results in earning higher interest than simple interest.

(True/False)
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