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Suppose the opportunity cost of capital is 5% and you have just won a $750,000 lottery that entitles you to $75,000 at the end of

  1. Suppose the opportunity cost of capital is 5% and you have just won a $750,000 lottery that entitles you to

$75,000 at the end of each year for the next 10 years.

  1. What is the minimum lump sum cash payment you would be willing to take now in lieu of the IO-year annuity?
  2. What is the minimum lump sum you would be willing to accept at the end of the 10 years in lieu of the annuity?
  1. Using the appropriate interest factor table, answer each of the following questions (each case is independent of each other.)
  1. Your company purchases a 5-year certificate of deposit which pays semi-annually and has a stated interest rate of 6.5%. The initial investment is $10,000. What is the future amount of your investment worth at the end of 5 years?
  2. What amount must you put in the bank today if you will need $20,000 in 10 years for the cost of your child's college education? The bank will provide you with interest payments quarterly on your investment. The annual rate of interest you have been quoted is 9 percent.

Problem 1)

MINIMUM LUMP SUM IF PAID NOW
Rate
Per year 10 year annuity
Final year annuity
years
years
years
PV of 10 year annuity

Problem 2)

PART 1 Calculating (FV) PART 2
$ current value of investment Rate 4
interest rate to be earned ANNUALLY over life of investment Years
term of investment in years FV
Rate for compounding semi-annual Quarterly interest payments compounded
Number of compounding periods Number of compounding periods
Future Value $ PV
Ignoring negative sign = FV $ Ignoring negative number

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