Exam 5: Time Value of Money 2: Analyzing Annuity Cash Flows

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The present value of annuity payments made far into the future is

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Low Financing or Cash Back? A car company is offering a choice of deals. You can receive $2,000 cash back on the purchase, or a 2 percent APR, 3-year loan. The price of the car is $17,000 and you could obtain a 3-year loan from your credit union, at 7 percent APR. Which deal is cheaper?

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Your company borrows $55,000 today to funds its growth initiatives. It must repay the bank in 4 annual payments of $17,100 at the end of each year. What annual interest rate is your firm paying?

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After saving diligently your entire career, you and your spouse are ready to retire with a nest egg of $600,000. You need to invest this money in a mix of stocks and bonds that will allow you to earn $5,000 per month for 30 years. What annual interest rate (APR) do you need to earn?

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Sally saves $500 per month in her retirement plan. She plans on making monthly contributions for 35 years. If her account earns a 12% annual interest rate, how much will she have at the end of 35 years and what percent of the total are her out-of-pocket contributions?

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If the present value of an ordinary, 8 year annuity is $12,500 and interest rates are 9.1%, what is the present value of the same annuity due?

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A furniture company is offering a choice of deals. You can receive $100 cash back on the purchase, or a 2% APR, 2-year loan. The price of the dining room set is $3,750 and you could obtain a 2-year loan from your credit union at 6% APR. What is the cost per month of each deal?

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Isaac realizes that he charged too much on his credit card and has racked up $7,000 in debt. If he can pay $275 each month and the card charges 17.55% APR (compounded monthly), how long will it take him to pay off the credit card? How much interest expense will Isaac pay during this time?

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