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The Infinite Actuary, LLC 25 Joint Exam 2/FM (A.2.P Problem Set C) 125. Mark receives 500,000 at his retirement. He invests 500,000 – X in an annual payment 10 year annuity-immediate and X in an annual payment perpetuity-immediate. His total annual payments received during the first 10 years are twice as large as those received thereafter. The annual effective rate of interest is 6%. Calculate X. (A) 345,835 (B) 346,335 (C) 346,835 (D) 347,335 (E) 347,835

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Transcript of 125

  • The Infinite Actuary, LLC 25 Joint Exam 2/FM (A.2.P Problem Set C)

    125. Mark receives 500,000 at his retirement. He invests 500,000 X

    in an annual payment 10 year annuity-immediate and X in an

    annual payment perpetuity-immediate.

    His total annual payments received during the first 10 years are

    twice as large as those received thereafter.

    The annual effective rate of interest is 6%.

    Calculate X.

    (A) 345,835

    (B) 346,335

    (C) 346,835

    (D) 347,335

    (E) 347,835