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Alan receives an annuity paying 500 at the end of every 16 months for 24 years. He wishes to replace it with an annuity that

Alan receives an annuity paying 500 at the end of every 16 months for 24 years. He wishes to replace it with an annuity that has the same term and has one payment every four months with the first payment being immediately. How much should the payments the exchange is based on a nominal rate of 8% convertible quarterly?

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