Exam 3: The Mathematics of Finance

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Find the present value of a decreasing annuity necessary to fund withdrawals of $800 per month for 10 years, if the annuity earns 4% per year. (Assume end-of-period deposits and compounding at the same intervals as deposits.) Round your answer to the nearest cent. ​ $__________

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79,016.14

Find the periodic withdrawal for an annuity of $50,000 at 5%, paid out quarterly for 25 years. (Assume end-of-period deposits and compounding at the same intervals as deposits.) Round your answer to the nearest cent. ​ $__________

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Find the effective annual interest rate of 7% compounded daily. Assume 365 days per year. Round your answer to the nearest 0.01%.

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Doubling the frequency of compounding in a compound interest investment ________ double the amount of the interest. ​

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Find the periodic withdrawal for an annuity containing $275,000 at 6%, paid out monthly for 30 years. (Assume end-of-period deposits and compounding at the same intervals as deposits). Round your answer to the nearest cent.

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Find the present value of an investment at 5.25% annual simple interest which is worth $6,700 after 5 years. Round your answer to the nearest dollar.

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You take out a 2-year, $5,000 loan at 7% simple annual interest. The lender charges you a $300 fee. Thinking of the fee as additional interest, what is the actual annual interest rate you will pay Round answer to the nearest 0.001% .

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If Apple's stock underwent simple interest increase from February, 2005, through August, 2005 and into 2006, what would the price be in December, 2006 Round your answer to the nearest cent. Month Dec. 1997 Aug. 1999 Mar. 2000 May 2000 Aug. 2000 Dec. 2000 Monthly Price 3.28 16.31 33.95 21 30.47 7.44 Month Jan. 2002 Mar. 2003 Oct. 2003 Nov. 2004 Feb. 2005 Aug. 2005 Monthly Price 12.36 7.07 11.44 33.53 44.73 45.76 $ __________

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Find the amount accumulated in the increasing annuity of $200 deposited monthly for 5 years at 3% per year. (Assume end-of-period deposits and compounding at the same intervals as deposits.) Round your answer to the nearest cent. ​

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Find the present value of the decreasing annuity necessary to fund a withdrawal of $1,500 per quarter for 20 years, if the annuity earns 3% per year. (Assume end-of-period deposits and compounding at the same intervals as deposits.) Round your answer to the nearest cent. ​

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When I was considering what to do with the $6,000 proceeds from my sale of technology stock, my broker suggested I invest half of it in municipal bonds, whose value was growing by 15% per year, and the other half in certificates of deposit (CDs), which were yielding 7% per year compounded every 2 months. Assuming that these rates are sustained, how much will my investment be worth in 8 years Round your answer to the nearest cent. ?

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Find the effective annual interest rate of 4% compounded monthly. Round your answer to the nearest 0.01%. ​ reff = __________ %

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How much would you have to invest when you are 20 years old at 9% compounded monthly to end up with a million dollars by age 48 Round your answer to the nearest thousand. ?

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You invest $13,000 in Rapid Growth Funds, which appreciate by 2% per year, with yields reinvested quarterly. By how much will your investment have grown after 7 years Round your answer to the nearest cent. ?

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Find the periodic withdrawal for an annuity containing $225,000 at 3%, paid out monthly for 25 years. (Assume end-of-period deposits and compounding at the same intervals as deposits). Round your answer to the nearest cent. ​ $__________

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Calculate the future value of an investment of $3,500, after one year, if it is deposited in a savings account that is compounded quarterly at an annual rate of 11%. Round your answer to the nearest cent. ​

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Find the simple interest on a $18,800 investment made for 9 months at an interest rate of 10% per year. What is the future value Round to the nearest ten.

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The simple interest on a $19,000 loan, at 11% per year, amounted to $8,930. When did the loan mature (Round your answer to the nearest whole month.) t = __________ months

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If Apple's stock underwent simple interest increase from February, 2005, through August, 2005 and into 2006, what would the price be in December, 2006 Round your answer to the nearest cent. Month Dec. 1997 Aug. 1999 Mar. 2000 May 2000 Aug. 2000 Dec. 2000 Monthly Price 3.28 16.31 33.95 21 30.47 7.44 Month Jan. 2002 Mar. 2003 Oct. 2003 Nov. 2004 Feb. 2005 Aug. 2005 Monthly Price 12.36 7.07 11.44 33.53 44.86 45.78

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Find the periodic withdrawal for an annuity of $200,000 at 4%, paid out monthly for 11 years. (Assume end-of-period deposits and compounding at the same intervals as deposits.) Round your answer to the nearest cent. ​ $__________

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