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4. You have been notified that a grandparent is going to set up a fund for you that will become available in 5 years. There
4. You have been notified that a grandparent is going to set up a fund for you that will become available in 5 years. There are two options as to how the fund will be created: (i) A sum of $110,000 will be put into an account that carns interest at an annual rate of 3% compounded continuously. Or, (ii) Money will be deposited in an account on a continuous basis at a rate of $24,000 per year for 5 years, and the money will earn interest at the same rate of 3% compounded continuously. In both cases, you will have access to the account you choose at time t = 5 years. ROUND ALL ANSWERS TO THE NEAREST DOLLAR. (a) (12)If your goal is to have the largest amount of money after 5 years, which of these two options would you choose? Support your answer with NUMERICAL COMPUTATIONS. (6) You should find in part (a) that the 2nd option is preferred. What is the minimum amount that option (i) would need to be in order that this option becomes the preferred option? Support your answer with NUMERICAL COMPUTATIONS
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