Exam 12: Compound Interest and Present Value

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Solve by using compound table. Find future value. Future Principal Rate Time \# times Compounded per year Value \ 2,000 8\% 2 years Quarterly ?

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Find effective rate (APY)and show work: (round to nearest hundredth) Principal Rate \#times Compounded per year Effective Rate (APY) \ ,500 10\% Semiannually ?

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Effective rates can be seen in the compounding table for one dollar.

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Al Safe deposited $15,000 at Q Bank at an interest rate of 16%, compounded quarterly. What was the effective rate (APY)? (round to nearest hundredth)

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Jim Smith believes that in 30 years he will need $80,000 to buy a retirement cottage. Assuming he gets an interest rate of 9% compounded annually, how much will he have to invest today to reach his retirement goal?

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

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Annual means compounded once a year.

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The rate used in the table for calculating compound interest is found by:

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Match the following terms with their definitions. -Present value

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Compounding looks into the present when we know what we have in the future.

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Joe Diamond deposited $9,000 into the Rong Bank, which pays 12% interest, compounded quarterly. Calculate the amount Joe will have in his account at the end of four years.

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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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Merle Fonda opened a new savings account. She deposited $40,000 at 10% compounded semiannually. At the start of the fourth year, Merle deposits an additional $20,000 that is also compounded semiannually at 10%. At the end of six years, the balance in Merle's account is (use the tables in the handbook):

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Find effective rate (APY)and show work: (round answer to the nearest hundredth) Principal Rate When Compounded Effective Rate (APY) \ 5,000 10\% Semiannually ?

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Al Miler, the owner of Al's Garage, estimates that he will need $29,000 for new equipment in 15 years. Al decides that he will put aside the money now so that in 15 years the $29,000 will be available. His bank offers him 10% interest compounded semiannually. (Use the tables in the handbook.)Al must invest today:

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Don Williams wants to buy a boat five years from today. He will need $40,000. Don 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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The compound table can be used to prove a present value calculation.

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Lisa Richter deposited $5,000 at 4% compounded semiannually for three years. At the beginning of the fourth year, Lisa deposited $2,500. What would her balance be at the end of five years assuming she is still earning 4% compounded semiannually?

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Match the following terms with their definitions. -Rate

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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 $900,000 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 $900,000?

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