Exam 12: Compound Interest and Present Value

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Compound value = $ amount divided by table factor.

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The effective rate (APY) is:

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

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Gracie Shay wants to buy a new Hummer in five years. Gracie estimates the cost of the Hummer will be $28,000. If she invests $12,000 now at a rate of 6% compounded semiannually, she:

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Compounding always requires the use of tables.

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A table factor of .7312 from a present value table of $1 means that a certain rate of interest for a certain period of time will equal:

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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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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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In the table of present value of one dollar, all table factors are less than $1.

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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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Present value does not:

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

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Katie Hector wants to purchase a condo in Oxford, MS, in 20 years. The cost of the condo is expected to be $180,000. Assuming she can earn 6% annually, what should Katie deposit today?

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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?

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

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Compounding:

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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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Interest calculated on a balance every three months is said to be compounded quarterly.

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

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Interest = principal × rate divided by the time.

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