A worker aged 25 wishes to accumulate a fund for retirement by depositing X at the...

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A worker aged 25 wishes to accumulate a fund for retirement by depositing X at the end of each quarter for 35 years. Starting at age 60 the worker plans to make quarterly withdrawals at the end of each quarter during 20 years. All payments are certain to be made. The amount of each withdrawal starting at age 60 will be $200. Find X, if the nominal annual rate of interest is 5% during the first 35 years but only 3% thereafter (convertible quarterly). A worker aged 25 wishes to accumulate a fund for retirement by depositing X at the end of each quarter for 35 years. Starting at age 60 the worker plans to make quarterly withdrawals at the end of each quarter during 20 years. All payments are certain to be made. The amount of each withdrawal starting at age 60 will be $200. Find X, if the nominal annual rate of interest is 5% during the first 35 years but only 3% thereafter (convertible quarterly).