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You are debating whether or not to take a gap year as a result of COVID19 and the toggle to online courses. You analyze the

You are debating whether or not to take a "gap year" as a result of COVID19 and the toggle to online courses. You analyze the situation and determine two scenarios.

Scenario 1 : If you do not pause your education and continue college courses as-scheduled, you will graduate in May 2022, quickly accept a full time job offer and begin your career. You will be able to save and invest $10000 of your first-year salary (you're a reasonably disciplined saver/investor) and apply that toward long term retirement. You will make the investment on January 1, 2023. The investment will comprise a well diversified mutual fund from Vanguard and you expect to earn 7.5% per year on this investment in line with stock market historical performance. You expect to eventually retire on December 31, 2060.

Scenario 2: You pause your education for a year taking a gap year and pushing your graduation date out to May 2023. In the process, you are not able to put $10000 toward retirement on January 1 2023 because you are still in school and have not yet started working.

How much will the $10000 investment be worth at retirement if you proceed with scenario 1 ?

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