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A woman turns 30 today and wishes to withdrawal a perpetuity of $1000 at the beginning of each mont] starting on her 65th birthday. Starting

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A woman turns 30 today and wishes to withdrawal a perpetuity of $1000 at the beginning of each mont] starting on her 65th birthday. Starting today, she makes monthly contributions of X to a fund. The las contribution is one month before her 65th birthday. The fund earns a nominal rate of 8% compounded monthly during contribution period and 5% compounded monthly during withdrawal period. Calculate X

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