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What would your investment account be worth in 33 years if you currently have $1,000 saved and plan to add $340 per month at the

  1. What would your investment account be worth in 33 years if you currently have $1,000 saved and plan to add $340 per month at the end of the month for the 34 years if the account pays 5% interest compounded monthly?

  1. What is the future value of an $900 annuity payment over 15 years if the interest rates are 6 percent?

  1. What is the present value of a $500 annuity payment over 4 years if interest rates are 6 percent?

  1. Suppose that you place $400 in a bank account each year for the next 20 years. How much would be in your bank account at the end of the twentieth year if the deposits earned an annual rate of return of 6% each year?

  1. Repeat above question for annuity due.

  1. If you want to accumulate $55,000 and you have $10,000 saved now, how many years will it take if you pay $65 per quarter and your investment account pays 6% compounded quarterly?

  1. What is the present value of a $200,000 cash flow to be received at the end of each of the next 15 years from an account that earns an annual rate of 10%?

  1. Repeat above question for annuity due.

  1. What is the future value of an ordinary annuity of $2,000 for 4 years, if interest rates are 6 percent ?

  1. What is the future value of the same annuity due?

  1. What is the present value of a $120,000 cash flow to be received at the beginning of each of the next 20 years from an account that earns an annual rate of 9%?

  1. What is the present value of an annual payment of $4,500 discounted back 15 years at an annual rate of return of 3%?

  1. What is the future value of a series of $300 annual payments received at the end of each of the next 5 years' worth if they are invested at an annual rate of return of 6%?

  1. Repeat above question for annuity due.

  1. Sly's Used Cars just sold you a clunker (you need it to get to class on time). You financed the $4,728.48 purchase price for 36 months. They said your payment would be $250. What interest rate did they charge you (assume monthly compounding)

  1. You have saved $80,000 for your child to attend college. If it is in an account earning an annual rate of 8%, how much can you take out in equal payments at the end of each of the next four years to pay for their education?

  1. How much can you take out in equal payments at the beginning of each of the next four years to pay for their education?

  1. Sebastian checks Daniels credit rating and determines that he will qualify for a 6% auto loan, and they agree that his trade-in is worth $7,500. The cost of the car is $22,000. If he is planning to finance the loan for 5 years, how much does he have to pay every month
  2. Repeat the above question, if he is planning to finance the loan for 3 years.

  1. How can you make better business and personal financial decisions using the time value of money?

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Investment Science

Authors: David G. Luenberger

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