Exam 6: Continuous Compounding and Discounting

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Vida has just won a jackpot that will pay her $10,000 now, $10,000 in one year, and $10,000 in 2 years. What is the present value of this jackpot at the continuously discounted rate of 9%?

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What is the effective interest rate on 10% if interest is compounded continuously?

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Determine the value of $10,000 at the end of 3 years invested at 8 percent assuming continuous compounding.

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Calculate the effective annual rate if the nominal annual rate is 9 percent compounded continuously.

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If interest is at 8% and it is compounded continuously, what is the effective interest rate?

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Fred deposited $5,000 in an account that promised a nominal interest rate of 8% compounded continuously for his daughter who will be going to college in 18 years. How much will she have in the account in 18 years?

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City Bank offers a 7-year CD with a nominal rate of interest of 7.0%. If compounding occurs continuously, what is the effective annual rate?

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Brad deposited $5,250 into an account that earns 7% interest compounded continuously. How much money will he have in 15 years?

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