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A perpetuity is to pay $500 on the first of each month from January through September, inclusive. No payments will be made in October, November,

A perpetuity is to pay $500 on the first of each month from January through September, inclusive. No payments will be made in October, November, or December. This pattern of payments is to continue forever. Assuming the monthly effective interest rate is 1%, how much is needed 10 years prior to the first payment to provide the perpetuity payments?

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