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A thirty-year annuity X has annual payments of $1,000 at the beginning of each year for twelve years, then annual payments of $2,000 at the

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A thirty-year annuity X has annual payments of $1,000 at the beginning of each year for twelve years, then annual payments of $2,000 at the beginning of each year for eighteen years. A perpetuity Y has payments of SQ at the end of each year for twenty years, then payments of S3Q at the end of each year thereafter. The present values of X and Y are equal when calculated using an annual effective discount rate of 10%. Find

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