Peter has $30,000 to invest in a mutual fund whose annual returns are normally distributed with a mean of 575% and standard deviation of 4.97%. a. Use Excel's Analysis ToolPok, with a seed of 1, to simulate 5,000 trials to estimate the mean balance after one year. (Round Intermediate calculations to at least 4 decimal places and your final answer to 2 decimal places.) Average balance after one yoar b. What is the probability of a balance of $33,000 or more? (Round intermediate calculations to at least 4 decimal places and show your final answer as a percentage point with 2 decimal places.) Probability of having a balance of $33.000 or more c. Compared to another investment option at a fixed annual return of 3% per year, what is the probability of getting at least the same balance from the mutual fund after one year? (Round intermediate calculations to at least 4 decimal places and show your final answer as a percentage point with 2 decimal places.)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Peter has $30,000 to invest in a mutual fund whose annual returns are normally distributed with a mean of 5.75% and standard
deviation of 4.97%.
a. Use Excel's Analysis ToolPak, with a seed of 1, to simulate 5,000 trials to estimate the mean balance after one year. (Round
Intermediate calculations to at least 4 decimal places and your final answer to 2 decimal places.)
Average balance after one year
b. What is the probability of a balance of $33,000 or more? (Round intermediate calculations to at least 4 decimal places and show
your final answer as a percentage point with 2 decimal places.)
Probability of having a bailance of $33,000 or more
c. Compared to another investment option at a fixed annual return of 3% per year, what is the probability of getting at least the same
balance from the mutual fund after one year? (Round intermediate calculations to at least 4 decimal places and show your final
answer as a percentage point with 2 decimal places.)
Transcribed Image Text:Peter has $30,000 to invest in a mutual fund whose annual returns are normally distributed with a mean of 5.75% and standard deviation of 4.97%. a. Use Excel's Analysis ToolPak, with a seed of 1, to simulate 5,000 trials to estimate the mean balance after one year. (Round Intermediate calculations to at least 4 decimal places and your final answer to 2 decimal places.) Average balance after one year b. What is the probability of a balance of $33,000 or more? (Round intermediate calculations to at least 4 decimal places and show your final answer as a percentage point with 2 decimal places.) Probability of having a bailance of $33,000 or more c. Compared to another investment option at a fixed annual return of 3% per year, what is the probability of getting at least the same balance from the mutual fund after one year? (Round intermediate calculations to at least 4 decimal places and show your final answer as a percentage point with 2 decimal places.)
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