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You are considering two perpetuities which are identical in every way, except that perpetuity A will begin making annual payments of $1,000 to you one

You are considering two perpetuities which are identical in every way, except that perpetuity A will begin making annual payments of $1,000 to you one year from today while the first payment of $1,000 for perpetuity B will take place eleven years from today. It must be true that the present value of perpetuity A minus that of perpetuity B:

  1. isequalto$1,00010=10,000.
  2. is equal to the present value of an annuity paying $1,000 dollars each year for 11 years..
  3. is equal to the present value of an annuity DUE paying $1,000 dollars each year for ten years.
  4. is greater than the present value of perpetuity B.

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