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please help A student takes out a $10,000 student loan at the beginning of their senior year. They are automatically granted 6 months of deferred

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A student takes out a $10,000 student loan at the beginning of their senior year. They are automatically granted 6 months of deferred interest upon graduating, and an additional 18 months of deferred interest through their lending institution. This student wants to pay back their student loans within 2 years of graduating so that they don't have to pay interest on the loans. They come up with two payment schedules. Option 1: The student pays $1,000 immediately upon graduating, then pays $3,000 at the end of year 1, and finally pays $6,000 at the end of year 2. Option 2: The student pays nothing when they graduate, then pays $5,000 at the end of year 1, and $5,000 at the end of year 2. Assume that the student has access to an account paying 3.4% interest compounded continuously. What is the present value of the student's payment schedule labeled Option 1? (Round to the nearest dollar.) What is the present value of the student's payment schedule labeled Option 2? (Round to the nearest dollar.)

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