Exam 12: Compound Interest and Present Value

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

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The number of periods for a table lookup on $5,000 at 12% compounded semiannually for 10 years is 10 periods.

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

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Compounding always reduces the principal.

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A compound table factor of 1.2950 means that $1 at a certain rate of interest for a certain period of time will increase in value to approximately $1.30.

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Ellen deposits $6,773 into an account earning 1% annually. After seven years what will Ellen's balance have grown to, including interest?

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Compounding:

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$20,000 for 14 years compounded at 8% semiannually results in how many periods?

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Marcia Gadzera wants to retire in San Diego when she is 65 years old. Marcia is now 50 and believes she will need $90,000 to retire comfortably. To date, she has set aside no retirement money. If she gets interest of 10% compounded semiannually, how much must she invest today to meet her goal of $90,000?

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The rate for a table lookup on a $4,000, 12% investment compounded quarterly for four years is 4%.

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Using the table in the handbook, the present value of $12,000 for six years compounded at 6% semiannually is:

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

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$14,182 is the present value of $21,000 that earns at a bank 12% compounded quarterly for four years. (Use table in handbook.)

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Compounding results in earning higher interest than simple interest.

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The compound table can be used to prove a present value calculation.

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Earl Miller deposited $25,000 at Y Bank at an interest rate of 12% compounded quarterly. (Use the tables in the handbook.) The effective rate (APY) is:

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Mel Ross thinks he would like to buy a used car in five years for $8,000. He wants to put the money aside now so that in five years the $8,000 will be available. His bank offers him 12% interest, compounded semiannually. Could you calculate what Mel must invest today?

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

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Using the table in the handbook, the table factor for compounding $4,000 at 9% compounded annually for one year is 1.0900.

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Interest on $2,630 at 3% compounded semiannually for five years is:

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