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A man creates a retirement fund by depositing payments at

A man creates a retirement fund by depositing payments at the end of each month for 20 years. For the first 10 years the deposits are 100 per month and for the last 10 years the deposits are 200 per month. The fund earns interest at a nominal rate of 6% per year convertible monthly. Upon retirement he uses the proceeds to purchase a 30 year annuity immediate with monthly payments of Y. The annuity earns a nominal rate of 9% convertible monthly.

Calculate Y.

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