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Suppose that you are 2 2 years old, and have just accepted a job as an investment banking analyst in New York, at a starting

Suppose that you are 22 years old, and have just accepted a job as an investment banking analyst in New York, at a starting salary of $125,000 per year. You intend to work for 30 years and to retire at 52. During retirement, you intend to withdraw monthly from your retirement savings for 35 years. You expect that during retirement, you will need $10,000 at the start of every month, after tax (assume you will pay tax at a rate of 20% on all the monthly withdrawals). Assume that you can earn 8% per year APR on your investments.
a) How much money would you need to have in your retirement accounts, when you retire?
b) How much would you have to save at the end of every month during your working life, if you intend to save the same monthly amount?

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