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Exercise 3.10. The average American works 37 years in their career be- fore retiring. Additionally, American companies typically match employee contributions to a retirement account. Suppose you decide to make your contribution $300 per month when you start working in your career at the age of 27. 1. If you have access to an account that pays 3.5% APR compounded monthly, what will be the size of your nest egg at retirement? 2. What will your monthly annuity yield be if you plan to live to be 94