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Jack inherited a perpetuity - due, with annual payments of 1 0 , 0 0 0 . He immediately exchanged the first 1 0 payments

Jack inherited a perpetuity-due, with annual payments of 10,000. He immediately exchanged
the first 10 payments of the perpetuity for a perpetuity-immediate having the same present
value. The perpetuity-immediate has annual payments of x starting at the end of the 11th
year.
All the present values are based on an annual effective interest rate of 5.5%. Calculate x.
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