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Please build a base Excel spreadsheet model, then define the distribution assumptions and output accordingly 5. Retirement Planning. A recent MBA would like your assist-

Please build a base Excel spreadsheet model, then define the distribution assumptions and output accordingly

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5. Retirement Planning. A recent MBA would like your assist- ance in determining how much to save for retirement. He is planning to invest $3,000 in a tax-sheltered retirement fund at the end of each year (i.e., appreciation of the fund is not taxed) The rate of return each vear can be modeled as a normally distributed random variable with a mean of 12 percent and a standard deviation of 2 percent. a. If he is 30 years old now, how much money should he expect to have in his retirement fund at age 60? b. What is the probability that he will have more than $1 million in his retirement fund when he reaches age 60? c. How much should he invest each vear if he wants the mean value of his portfolio to be at least $1 million at age 60? d. How much should he invest each vear if he wants there to be a 90 percent chance of having at least $1 million in his retirement fund at age 60? 5. Retirement Planning. A recent MBA would like your assist- ance in determining how much to save for retirement. He is planning to invest $3,000 in a tax-sheltered retirement fund at the end of each year (i.e., appreciation of the fund is not taxed) The rate of return each vear can be modeled as a normally distributed random variable with a mean of 12 percent and a standard deviation of 2 percent. a. If he is 30 years old now, how much money should he expect to have in his retirement fund at age 60? b. What is the probability that he will have more than $1 million in his retirement fund when he reaches age 60? c. How much should he invest each vear if he wants the mean value of his portfolio to be at least $1 million at age 60? d. How much should he invest each vear if he wants there to be a 90 percent chance of having at least $1 million in his retirement fund at age 60

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