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6. You own an (obviously hypothetical) annuity which earns an annual effective interest rate of 200%. The annuity pays you $1 at the end of

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6. You own an (obviously hypothetical) annuity which earns an annual effective interest rate of 200%. The annuity pays you $1 at the end of the first year, and each subsequent yearly payment doubles thereafter. Prove that the present value of the first n payments of this annuity is 1

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