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A local government is about to run a lottery but does not want to be involved in the payoff if a winner picks an annuity

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A local government is about to run a lottery but does not want to be involved in the payoff if a winner picks an annuity payoff. The government contracts with a trust (a local bank) to pay the lumpsum payout to the trust and have trust pay the annual payments. The first winner of the lottery chooses the annuity and will receive $200,000 a year for the next twenty years. The local government will give the trust $1,500,000 to pay for this annuity. What investment rate must the trust earn to break-even on this arrangement

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