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1. A perpetuity pays $2X one year from today. The payments increase by 5% per year thereafter. The effective annual interest rate on this perpetuity

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1. A perpetuity pays $2X one year from today. The payments increase by 5% per year thereafter. The effective annual interest rate on this perpetuity is 6%. The present value is $32,400. A second perpetuity pays $Y one year from now, and the annual payment increases by $X per year thereafter. The effective annual interest rate on this perpetuity is i and the present value is $24000. A third perpetuity pays $Y per year, with the first payment one year from now. The effective annual interest rate on this perpetuity is i and the present value is $4000. To the nearest $10, what is $Y? [CAS 11/82#8]

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